9.537 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (+ x (* x x)) 0.016 * [simplify]: Sending expressions to egg_math: (+ h0 (* h0 h0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (+ x (* x x)) into (+ (pow x 2) x) 0.036 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) 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 * [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 (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ 0 1) into 1 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (+ 1 0) into 1 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.040 * [backup-simplify]: Simplify (+ 0 0) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ 0 0) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 0.054 * [backup-simplify]: Simplify (+ (/ 1 x) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 0.054 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 1) into 1 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.076 * [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 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 0.079 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (/ 1 x)) 0.079 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- 1) into -1 0.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.084 * [backup-simplify]: Simplify -1 into -1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 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)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.101 * [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 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 0.103 * * * [progress]: simplifying candidates 0.103 * [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) 0.103 * [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) 0.221 * * * [progress]: adding candidates to table 0.257 * * [progress]: iteration 2 / 4 0.257 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.301 * [backup-simplify]: Simplify (* (+ 1 x) x) into (* x (+ x 1)) 0.301 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ 0 1) into 1 0.302 * [backup-simplify]: Simplify (* 0 1) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 0.314 * [backup-simplify]: Simplify (* (+ 1 (/ 1 x)) (/ 1 x)) into (/ (+ (/ 1 x) 1) x) 0.314 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1 in x 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 1) into 1 0.318 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [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 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [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 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [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 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 0.329 * [backup-simplify]: Simplify (* (+ 1 (/ 1 (- x))) (/ 1 (- x))) into (* -1 (/ (- 1 (/ 1 x)) x)) 0.329 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.329 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (- 1) into -1 0.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (/ -1 1) into -1 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 0.331 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of 1 in x 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (/ -1 1) into -1 0.333 * [backup-simplify]: Simplify (* -1 -1) into 1 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 0.336 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 0.336 * [backup-simplify]: Simplify -1 into -1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [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 0.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [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 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [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 0.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 0.357 * * * [progress]: simplifying candidates 0.358 * [simplify]: Simplifying: (* (+ 1 x) x) (+ (log (+ 1 x)) (log x)) (log (* (+ 1 x) x)) (exp (* (+ 1 x) x)) (* (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* x x) x)) (* (cbrt (* (+ 1 x) x)) (cbrt (* (+ 1 x) x))) (cbrt (* (+ 1 x) x)) (* (* (* (+ 1 x) x) (* (+ 1 x) x)) (* (+ 1 x) x)) (sqrt (* (+ 1 x) x)) (sqrt (* (+ 1 x) x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (+ 1 x) (* (cbrt x) (cbrt x))) (* (+ 1 x) (sqrt x)) (* (+ 1 x) 1) (* (cbrt (+ 1 x)) x) (* (sqrt (+ 1 x)) x) (* (+ 1 x) x) (* (+ 1 x) x) (* (+ (pow 1 3) (pow x 3)) x) (* (- (* 1 1) (* x x)) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.358 * [simplify]: Sending expressions to egg_math: (* (+ 1 h0) h0) (+ (log (+ 1 h0)) (log h0)) (log (* (+ 1 h0) h0)) (exp (* (+ 1 h0) h0)) (* (* (* (+ 1 h0) (+ 1 h0)) (+ 1 h0)) (* (* h0 h0) h0)) (* (cbrt (* (+ 1 h0) h0)) (cbrt (* (+ 1 h0) h0))) (cbrt (* (+ 1 h0) h0)) (* (* (* (+ 1 h0) h0) (* (+ 1 h0) h0)) (* (+ 1 h0) h0)) (sqrt (* (+ 1 h0) h0)) (sqrt (* (+ 1 h0) h0)) (* (sqrt (+ 1 h0)) (sqrt h0)) (* (sqrt (+ 1 h0)) (sqrt h0)) (* (+ 1 h0) (* (cbrt h0) (cbrt h0))) (* (+ 1 h0) (sqrt h0)) (* (+ 1 h0) 1) (* (cbrt (+ 1 h0)) h0) (* (sqrt (+ 1 h0)) h0) (* (+ 1 h0) h0) (* (+ 1 h0) h0) (* (+ (pow 1 3) (pow h0 3)) h0) (* (- (* 1 1) (* h0 h0)) h0) (+ (pow h0 2) h0) (+ (pow h0 2) h0) (+ (pow h0 2) h0) 0.395 * * * [progress]: adding candidates to table 0.440 * [progress]: [Phase 3 of 3] Extracting. 0.440 * * [regime]: Finding splitpoints for: (# #) 0.441 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 0.441 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 0.454 * * * * [regimes]: Trying to branch on x from (# #) 0.467 * * * [regime]: Found split indices: #