5.075 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.021 * [simplify]: Sending expressions to egg_math: (+ (* h0 h0) (* h1 h1)) 0.023 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [backup-simplify]: Simplify y into y 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [backup-simplify]: Simplify y into y 0.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.041 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.042 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.043 * [backup-simplify]: Simplify (+ 1 0) into 1 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.047 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.049 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.058 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.059 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.060 * [backup-simplify]: Simplify (+ 1 0) into 1 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [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 (+ (* y 0) (* 0 y)) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.069 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.069 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.072 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.075 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.081 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.110 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.111 * * * [progress]: adding candidates to table 0.138 * * [progress]: iteration 2 / 4 0.138 * * * [progress]: picking best candidate 0.139 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.210 * * * [progress]: generating series expansions 0.210 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.211 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.211 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.211 * [taylor]: Taking taylor expansion of 1/3 in y 0.211 * [backup-simplify]: Simplify 1/3 into 1/3 0.211 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [backup-simplify]: Simplify x into x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.211 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.211 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.211 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.211 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.211 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.211 * [taylor]: Taking taylor expansion of 1/3 in x 0.211 * [backup-simplify]: Simplify 1/3 into 1/3 0.211 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.212 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.212 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.212 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.212 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.212 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.212 * [taylor]: Taking taylor expansion of 1/3 in x 0.212 * [backup-simplify]: Simplify 1/3 into 1/3 0.212 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.212 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.212 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.212 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.213 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.213 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of 1/3 in y 0.213 * [backup-simplify]: Simplify 1/3 into 1/3 0.213 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.214 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.214 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.214 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.214 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.217 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.218 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 0.220 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.221 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.221 * [taylor]: Taking taylor expansion of 1/3 in y 0.221 * [backup-simplify]: Simplify 1/3 into 1/3 0.221 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.221 * [taylor]: Taking taylor expansion of 1/3 in y 0.221 * [backup-simplify]: Simplify 1/3 into 1/3 0.221 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (log 1) into 0 0.222 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.223 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.223 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.223 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.223 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.225 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.226 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.232 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.235 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.238 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.240 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 0.241 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.241 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.241 * [taylor]: Taking taylor expansion of 1/3 in y 0.241 * [backup-simplify]: Simplify 1/3 into 1/3 0.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [backup-simplify]: Simplify x into x 0.241 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.241 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.242 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.242 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.242 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.242 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.243 * [taylor]: Taking taylor expansion of 1/3 in x 0.243 * [backup-simplify]: Simplify 1/3 into 1/3 0.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (log 1) into 0 0.244 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.244 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.244 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.244 * [taylor]: Taking taylor expansion of 1/3 in x 0.244 * [backup-simplify]: Simplify 1/3 into 1/3 0.244 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [backup-simplify]: Simplify y into y 0.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.246 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.246 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.246 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.246 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.246 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.246 * [taylor]: Taking taylor expansion of -2/3 in y 0.246 * [backup-simplify]: Simplify -2/3 into -2/3 0.246 * [taylor]: Taking taylor expansion of (log x) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [backup-simplify]: Simplify x into x 0.246 * [backup-simplify]: Simplify (log x) into (log x) 0.246 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.246 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.246 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.248 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.249 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.250 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.251 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.253 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.254 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.254 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.254 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.254 * [taylor]: Taking taylor expansion of 1/3 in y 0.254 * [backup-simplify]: Simplify 1/3 into 1/3 0.254 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.254 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.254 * [taylor]: Taking taylor expansion of 1/3 in y 0.254 * [backup-simplify]: Simplify 1/3 into 1/3 0.254 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.255 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.255 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.255 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.264 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.265 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.266 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.270 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.272 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 0.272 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.272 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.272 * [taylor]: Taking taylor expansion of 1/3 in y 0.272 * [backup-simplify]: Simplify 1/3 into 1/3 0.272 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (log 1) into 0 0.274 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.274 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.274 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.274 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.274 * [taylor]: Taking taylor expansion of 1/3 in x 0.274 * [backup-simplify]: Simplify 1/3 into 1/3 0.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.275 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (log 1) into 0 0.276 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.276 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.276 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.276 * [taylor]: Taking taylor expansion of 1/3 in x 0.276 * [backup-simplify]: Simplify 1/3 into 1/3 0.276 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [backup-simplify]: Simplify y into y 0.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (log 1) into 0 0.277 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.278 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.278 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.278 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.278 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.278 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.278 * [taylor]: Taking taylor expansion of -2/3 in y 0.278 * [backup-simplify]: Simplify -2/3 into -2/3 0.278 * [taylor]: Taking taylor expansion of (log x) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [backup-simplify]: Simplify x into x 0.278 * [backup-simplify]: Simplify (log x) into (log x) 0.278 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.278 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.278 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.280 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.281 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.282 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.282 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.285 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.285 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.286 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.286 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.286 * [taylor]: Taking taylor expansion of 1/3 in y 0.286 * [backup-simplify]: Simplify 1/3 into 1/3 0.286 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.286 * [taylor]: Taking taylor expansion of 1/3 in y 0.286 * [backup-simplify]: Simplify 1/3 into 1/3 0.286 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.290 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.290 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.290 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.297 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.298 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.300 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.301 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.305 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.307 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.307 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.307 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.308 * [taylor]: Taking taylor expansion of 1/3 in y 0.308 * [backup-simplify]: Simplify 1/3 into 1/3 0.308 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [backup-simplify]: Simplify x into x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.308 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.308 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.308 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.308 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.308 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.308 * [taylor]: Taking taylor expansion of 1/3 in x 0.308 * [backup-simplify]: Simplify 1/3 into 1/3 0.308 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.308 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.309 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.309 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.309 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.309 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.309 * [taylor]: Taking taylor expansion of 1/3 in x 0.309 * [backup-simplify]: Simplify 1/3 into 1/3 0.309 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.309 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.309 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.309 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.309 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.309 * [taylor]: Taking taylor expansion of 1/3 in y 0.309 * [backup-simplify]: Simplify 1/3 into 1/3 0.309 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (log 1) into 0 0.310 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.310 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.310 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.311 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.312 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.314 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.314 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 0.317 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.317 * [taylor]: Taking taylor expansion of 1/3 in y 0.317 * [backup-simplify]: Simplify 1/3 into 1/3 0.317 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.318 * [taylor]: Taking taylor expansion of 1/3 in y 0.318 * [backup-simplify]: Simplify 1/3 into 1/3 0.318 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (log 1) into 0 0.319 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.319 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.319 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.319 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.319 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.321 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.323 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.327 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.330 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.330 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.335 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.336 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 0.337 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.337 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.337 * [taylor]: Taking taylor expansion of 1/3 in y 0.337 * [backup-simplify]: Simplify 1/3 into 1/3 0.337 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [backup-simplify]: Simplify x into x 0.337 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.338 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ 0 1) into 1 0.339 * [backup-simplify]: Simplify (log 1) into 0 0.339 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.339 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.339 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.339 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.339 * [taylor]: Taking taylor expansion of 1/3 in x 0.339 * [backup-simplify]: Simplify 1/3 into 1/3 0.339 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [backup-simplify]: Simplify y into y 0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.340 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (log 1) into 0 0.341 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.341 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.341 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.341 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.341 * [taylor]: Taking taylor expansion of 1/3 in x 0.341 * [backup-simplify]: Simplify 1/3 into 1/3 0.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (log 1) into 0 0.342 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.342 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.342 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.342 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.343 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.343 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.343 * [taylor]: Taking taylor expansion of -2/3 in y 0.343 * [backup-simplify]: Simplify -2/3 into -2/3 0.343 * [taylor]: Taking taylor expansion of (log x) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (log x) into (log x) 0.343 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.343 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.343 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.345 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.346 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.347 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.349 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.350 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.350 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.350 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.350 * [taylor]: Taking taylor expansion of 1/3 in y 0.350 * [backup-simplify]: Simplify 1/3 into 1/3 0.350 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.351 * [taylor]: Taking taylor expansion of 1/3 in y 0.351 * [backup-simplify]: Simplify 1/3 into 1/3 0.351 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [backup-simplify]: Simplify x into x 0.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.351 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.351 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.351 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.361 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.362 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.366 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.368 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 0.368 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.368 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.368 * [taylor]: Taking taylor expansion of 1/3 in y 0.368 * [backup-simplify]: Simplify 1/3 into 1/3 0.368 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [backup-simplify]: Simplify x into x 0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (log 1) into 0 0.370 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.370 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.370 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.370 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.370 * [taylor]: Taking taylor expansion of 1/3 in x 0.370 * [backup-simplify]: Simplify 1/3 into 1/3 0.370 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [backup-simplify]: Simplify y into y 0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (log 1) into 0 0.372 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.372 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.372 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.372 * [taylor]: Taking taylor expansion of 1/3 in x 0.372 * [backup-simplify]: Simplify 1/3 into 1/3 0.372 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [backup-simplify]: Simplify y into y 0.373 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (log 1) into 0 0.373 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.373 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.373 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.374 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.374 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.374 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.374 * [taylor]: Taking taylor expansion of -2/3 in y 0.374 * [backup-simplify]: Simplify -2/3 into -2/3 0.374 * [taylor]: Taking taylor expansion of (log x) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [backup-simplify]: Simplify x into x 0.374 * [backup-simplify]: Simplify (log x) into (log x) 0.374 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.374 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.374 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.376 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.377 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.377 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.378 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.380 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.381 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.381 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.381 * [taylor]: Taking taylor expansion of 1/3 in y 0.381 * [backup-simplify]: Simplify 1/3 into 1/3 0.381 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.382 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.382 * [taylor]: Taking taylor expansion of 1/3 in y 0.382 * [backup-simplify]: Simplify 1/3 into 1/3 0.382 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [backup-simplify]: Simplify x into x 0.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.382 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.382 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.382 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.389 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.396 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.396 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.400 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.402 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 0.402 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.402 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 0.402 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.402 * [taylor]: Taking taylor expansion of 1/3 in y 0.402 * [backup-simplify]: Simplify 1/3 into 1/3 0.402 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [backup-simplify]: Simplify x into x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.403 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.403 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.403 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 0.403 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 0.403 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of 1/3 in x 0.403 * [backup-simplify]: Simplify 1/3 into 1/3 0.403 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.403 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.403 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.403 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.403 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.403 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.404 * [taylor]: Taking taylor expansion of 1/3 in x 0.404 * [backup-simplify]: Simplify 1/3 into 1/3 0.404 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [backup-simplify]: Simplify y into y 0.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.404 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.404 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 0.404 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 0.404 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 0.404 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of 1/3 in y 0.404 * [backup-simplify]: Simplify 1/3 into 1/3 0.404 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.405 * [backup-simplify]: Simplify (log 1) into 0 0.405 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.405 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 0.405 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 0.405 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 0.405 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 0.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.408 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 0.409 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 0.411 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 0.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.412 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [backup-simplify]: Simplify 1/3 into 1/3 0.412 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.412 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [backup-simplify]: Simplify 1/3 into 1/3 0.412 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (log 1) into 0 0.413 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.413 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.413 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.414 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.414 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.416 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 0.417 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 0.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.424 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 0.425 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.428 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 0.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 0.430 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 0.430 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.430 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.430 * [taylor]: Taking taylor expansion of 1/3 in y 0.430 * [backup-simplify]: Simplify 1/3 into 1/3 0.431 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [backup-simplify]: Simplify x into x 0.431 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.431 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ 0 1) into 1 0.432 * [backup-simplify]: Simplify (log 1) into 0 0.432 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.432 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.432 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.432 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.432 * [taylor]: Taking taylor expansion of 1/3 in x 0.432 * [backup-simplify]: Simplify 1/3 into 1/3 0.432 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [backup-simplify]: Simplify y into y 0.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.433 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (log 1) into 0 0.434 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.434 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.434 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.434 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.434 * [taylor]: Taking taylor expansion of 1/3 in x 0.434 * [backup-simplify]: Simplify 1/3 into 1/3 0.434 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.435 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (log 1) into 0 0.435 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.436 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.436 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.436 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.436 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.436 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.436 * [taylor]: Taking taylor expansion of -2/3 in y 0.436 * [backup-simplify]: Simplify -2/3 into -2/3 0.436 * [taylor]: Taking taylor expansion of (log x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [backup-simplify]: Simplify x into x 0.436 * [backup-simplify]: Simplify (log x) into (log x) 0.436 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.436 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.436 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.438 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.439 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.439 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.440 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.442 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.443 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.443 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.444 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.444 * [taylor]: Taking taylor expansion of 1/3 in y 0.444 * [backup-simplify]: Simplify 1/3 into 1/3 0.444 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.444 * [taylor]: Taking taylor expansion of 1/3 in y 0.444 * [backup-simplify]: Simplify 1/3 into 1/3 0.444 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [backup-simplify]: Simplify x into x 0.444 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.444 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.444 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.444 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.455 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.455 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.459 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.461 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 0.462 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 0.462 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.462 * [taylor]: Taking taylor expansion of 1/3 in y 0.462 * [backup-simplify]: Simplify 1/3 into 1/3 0.462 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ 0 1) into 1 0.463 * [backup-simplify]: Simplify (log 1) into 0 0.463 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.463 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.463 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.463 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.463 * [taylor]: Taking taylor expansion of 1/3 in x 0.463 * [backup-simplify]: Simplify 1/3 into 1/3 0.463 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (log 1) into 0 0.465 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.465 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.465 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.465 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.465 * [taylor]: Taking taylor expansion of 1/3 in x 0.465 * [backup-simplify]: Simplify 1/3 into 1/3 0.465 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (log 1) into 0 0.467 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.467 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 0.467 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.467 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.467 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.467 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.467 * [taylor]: Taking taylor expansion of -2/3 in y 0.467 * [backup-simplify]: Simplify -2/3 into -2/3 0.467 * [taylor]: Taking taylor expansion of (log x) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [backup-simplify]: Simplify x into x 0.467 * [backup-simplify]: Simplify (log x) into (log x) 0.467 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 0.467 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 0.467 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.469 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 0.470 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.471 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 0.471 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 0.474 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.474 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 0.475 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 0.475 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.475 * [taylor]: Taking taylor expansion of 1/3 in y 0.475 * [backup-simplify]: Simplify 1/3 into 1/3 0.475 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.475 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.475 * [taylor]: Taking taylor expansion of 1/3 in y 0.475 * [backup-simplify]: Simplify 1/3 into 1/3 0.475 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [backup-simplify]: Simplify x into x 0.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.475 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 0.475 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 0.475 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 0.482 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 0.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 0.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.489 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.490 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.494 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.496 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.496 * [backup-simplify]: Simplify (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) into (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) 0.496 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in y 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in y 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in y 0.496 * [taylor]: Taking taylor expansion of 1/3 in y 0.496 * [backup-simplify]: Simplify 1/3 into 1/3 0.496 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in y 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.497 * [backup-simplify]: Simplify x into x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.497 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.497 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.497 * [backup-simplify]: Simplify (log (pow x 4)) into (log (pow x 4)) 0.498 * [backup-simplify]: Simplify (* 1/3 (log (pow x 4))) into (* 1/3 (log (pow x 4))) 0.498 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 4)))) into (pow (pow x 4) 1/3) 0.498 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 0.498 * [taylor]: Taking taylor expansion of 1/3 in x 0.498 * [backup-simplify]: Simplify 1/3 into 1/3 0.498 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.499 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.499 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.499 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 0.499 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 0.499 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 0.499 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 0.499 * [taylor]: Taking taylor expansion of 1/3 in x 0.499 * [backup-simplify]: Simplify 1/3 into 1/3 0.499 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 0.499 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [backup-simplify]: Simplify y into y 0.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.499 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.499 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.500 * [backup-simplify]: Simplify (log (pow y 4)) into (log (pow y 4)) 0.500 * [backup-simplify]: Simplify (* 1/3 (log (pow y 4))) into (* 1/3 (log (pow y 4))) 0.500 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 4)))) into (pow (pow y 4) 1/3) 0.500 * [taylor]: Taking taylor expansion of (pow (pow y 4) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 4)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 4))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [backup-simplify]: Simplify 1/3 into 1/3 0.500 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (log 1) into 0 0.501 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 0.501 * [backup-simplify]: Simplify (* 1/3 (* 4 (log y))) into (* 4/3 (log y)) 0.501 * [backup-simplify]: Simplify (exp (* 4/3 (log y))) into (pow y 4/3) 0.501 * [backup-simplify]: Simplify (pow y 4/3) into (pow y 4/3) 0.501 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 0.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 4) 1)))) 1) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 4)))) into 0 0.503 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.505 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 0.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 4 (log y)))) into 0 0.506 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.507 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* 0 0) (* 1 (pow y 2)))) into (* 2 (pow y 2)) 0.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 4) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (pow y 2))) 1)) (pow (pow y 4) 1)))) 2) into (/ 2 (pow y 2)) 0.508 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4))))) into (* 2/3 (/ 1 (pow y 2))) 0.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 0.509 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.509 * [taylor]: Taking taylor expansion of 2/3 in y 0.509 * [backup-simplify]: Simplify 2/3 into 2/3 0.509 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.509 * [taylor]: Taking taylor expansion of 1/3 in y 0.509 * [backup-simplify]: Simplify 1/3 into 1/3 0.509 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (log 1) into 0 0.510 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.510 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 0.510 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 0.510 * [backup-simplify]: Simplify (* 2/3 (pow y -2/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 0.510 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.513 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 0.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 4 (log y))))) into 0 0.514 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow y 2))))) into 0 0.518 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (pow y 2))) 1)) (pow (pow y 4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 4) 1)))) 6) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 4)))))) into 0 0.520 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.522 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 0.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 0.523 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow y -2/3))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.527 * [backup-simplify]: Simplify (+ (* (- -4) (log y)) 0) into (* 4 (log y)) 0.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 4 (log y)))))) into 0 0.528 * [backup-simplify]: Simplify (* (exp (* 4/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (+ (* (* 2/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 4/3)) into (+ (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 4/3)) 0.529 * [backup-simplify]: Simplify (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) 0.529 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 0.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 0.529 * [taylor]: Taking taylor expansion of 1/3 in y 0.529 * [backup-simplify]: Simplify 1/3 into 1/3 0.529 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [backup-simplify]: Simplify x into x 0.529 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.529 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 0 1) into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (log 1) into 0 0.531 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.531 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.531 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.531 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.531 * [taylor]: Taking taylor expansion of 1/3 in x 0.531 * [backup-simplify]: Simplify 1/3 into 1/3 0.531 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [backup-simplify]: Simplify y into y 0.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (log 1) into 0 0.533 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.533 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 0.533 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.533 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.533 * [taylor]: Taking taylor expansion of 1/3 in x 0.533 * [backup-simplify]: Simplify 1/3 into 1/3 0.533 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (log 1) into 0 0.535 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.535 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 0.535 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.535 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 0.535 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 0.535 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 0.535 * [taylor]: Taking taylor expansion of -4/3 in y 0.535 * [backup-simplify]: Simplify -4/3 into -4/3 0.535 * [taylor]: Taking taylor expansion of (log x) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [backup-simplify]: Simplify x into x 0.535 * [backup-simplify]: Simplify (log x) into (log x) 0.535 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 0.535 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.535 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.538 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 0.539 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.539 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 0.540 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.541 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 0.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ 2 (pow y 2)) 0.543 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.543 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 0.544 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) 0.544 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 0.544 * [taylor]: Taking taylor expansion of 2/3 in y 0.544 * [backup-simplify]: Simplify 2/3 into 2/3 0.544 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 0.544 * [taylor]: Taking taylor expansion of 1/3 in y 0.544 * [backup-simplify]: Simplify 1/3 into 1/3 0.544 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [backup-simplify]: Simplify x into x 0.544 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.544 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.545 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.545 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 0.545 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 0.545 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.547 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 0.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 0.549 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.550 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 0.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 2) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 0.552 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 0.553 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 0.554 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.556 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.556 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.561 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 0.563 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (pow (/ 1 x) -4/3) into (pow (/ 1 x) -4/3) 0.563 * [backup-simplify]: Simplify (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) 0.563 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 0.564 * [taylor]: Taking taylor expansion of 1/3 in y 0.564 * [backup-simplify]: Simplify 1/3 into 1/3 0.564 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [backup-simplify]: Simplify x into x 0.564 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify (+ 0 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (log 1) into 0 0.565 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 0.565 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 0.565 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 0.565 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.566 * [taylor]: Taking taylor expansion of 1/3 in x 0.566 * [backup-simplify]: Simplify 1/3 into 1/3 0.566 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [backup-simplify]: Simplify y into y 0.566 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (log 1) into 0 0.567 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.567 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 0.567 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.567 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.567 * [taylor]: Taking taylor expansion of 1/3 in x 0.568 * [backup-simplify]: Simplify 1/3 into 1/3 0.568 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.568 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (log 1) into 0 0.569 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.569 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 0.569 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.569 * [taylor]: Taking taylor expansion of (pow x -4/3) in y 0.569 * [taylor]: Taking taylor expansion of (exp (* -4/3 (log x))) in y 0.570 * [taylor]: Taking taylor expansion of (* -4/3 (log x)) in y 0.570 * [taylor]: Taking taylor expansion of -4/3 in y 0.570 * [backup-simplify]: Simplify -4/3 into -4/3 0.570 * [taylor]: Taking taylor expansion of (log x) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [backup-simplify]: Simplify x into x 0.570 * [backup-simplify]: Simplify (log x) into (log x) 0.570 * [backup-simplify]: Simplify (* -4/3 (log x)) into (* -4/3 (log x)) 0.570 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 0.570 * [backup-simplify]: Simplify (pow x -4/3) into (pow x -4/3) 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.572 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 0.573 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.574 * [backup-simplify]: Simplify (+ (* -4/3 0) (* 0 (log x))) into 0 0.574 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.576 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 0.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ 2 (pow y 2)) 0.581 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.581 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x)))))) into (* 2/3 (/ 1 (pow y 2))) 0.582 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)))) into (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) 0.582 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2)))) in y 0.582 * [taylor]: Taking taylor expansion of 2/3 in y 0.582 * [backup-simplify]: Simplify 2/3 into 2/3 0.582 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ 1 (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 0.582 * [taylor]: Taking taylor expansion of 1/3 in y 0.582 * [backup-simplify]: Simplify 1/3 into 1/3 0.582 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.582 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [backup-simplify]: Simplify x into x 0.582 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.582 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.582 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.582 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4))) 0.582 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4)))) 0.583 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3) 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.585 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))))) into 0 0.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 1) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 4))))) into 0 0.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.587 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 4)) (/ 0 (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 0.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 4)) 1)))) 2) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 4)))))) into 0 0.590 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 4)) 1/3) 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 4)) 1/3) 1) into (pow (/ 1 (pow x 4)) 1/3) 0.592 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 4)) 1/3)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.594 * [backup-simplify]: Simplify (+ (* -4/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.594 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 2 (/ 1 (pow y 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.600 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 0.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 (pow y 2))) (+ (* 0 0) (* 0 (- (* 4 (log x))))))) into 0 0.601 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 2/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -4/3) into (pow (/ -1 x) -4/3) 0.602 * * * [progress]: simplifying candidates 0.603 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (+ 1/3 1/3) (+ 1 1) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ 1 1) (+ (log (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y))))) (log (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (exp (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* 1 1) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* 2 1/3) (* 2 1) (* (cbrt (+ (* x x) (* y y))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt 1)) (* (cbrt (+ (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))) (* (cbrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) 1) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* 2/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 4/3)) (pow (/ 1 x) -4/3) (pow (/ -1 x) -4/3) 0.604 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (+ 1/3 1/3) (+ 1 1) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (+ 1 1) (+ (log (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1))))) (log (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (exp (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (* (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* 1 1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* 2 1/3) (* 2 1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt 1)) (* (cbrt (+ (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (* h0 h0) (* h1 h1))) 1) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (* 2/3 (* (pow h0 2) (pow (/ 1 (pow h1 2)) 1/3))) (pow h1 4/3)) (pow (/ 1 h0) -4/3) (pow (/ -1 h0) -4/3) 0.609 * * [simplify]: iteration 0 : 222 enodes (cost 979 ) 0.615 * * [simplify]: iteration 1 : 943 enodes (cost 914 ) 0.637 * * [simplify]: iteration 2 : 4106 enodes (cost 856 ) 0.743 * * [simplify]: iteration 3 : 5003 enodes (cost 850 ) 0.747 * * * [progress]: adding candidates to table 0.955 * * [progress]: iteration 3 / 4 0.955 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.962 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.985 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.002 * * * [progress]: generating series expansions 1.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.002 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 1.002 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.002 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.002 * [taylor]: Taking taylor expansion of 1/3 in y 1.002 * [backup-simplify]: Simplify 1/3 into 1/3 1.002 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.002 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [backup-simplify]: Simplify x into x 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.003 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.003 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.003 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.003 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.003 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.003 * [taylor]: Taking taylor expansion of 1/3 in x 1.003 * [backup-simplify]: Simplify 1/3 into 1/3 1.003 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [backup-simplify]: Simplify y into y 1.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.003 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.003 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.003 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.004 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.004 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.004 * [taylor]: Taking taylor expansion of 1/3 in x 1.004 * [backup-simplify]: Simplify 1/3 into 1/3 1.004 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.004 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [backup-simplify]: Simplify y into y 1.004 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.004 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.004 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.004 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.004 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.005 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.005 * [taylor]: Taking taylor expansion of 1/3 in y 1.005 * [backup-simplify]: Simplify 1/3 into 1/3 1.005 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (log 1) into 0 1.006 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.006 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.006 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.006 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.009 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.010 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.010 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (* 1 1) into 1 1.011 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.011 * [backup-simplify]: Simplify (+ 1 0) into 1 1.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.012 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.013 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.013 * [taylor]: Taking taylor expansion of 1/3 in y 1.013 * [backup-simplify]: Simplify 1/3 into 1/3 1.013 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.013 * [taylor]: Taking taylor expansion of 1/3 in y 1.013 * [backup-simplify]: Simplify 1/3 into 1/3 1.013 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.013 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.014 * [backup-simplify]: Simplify (log 1) into 0 1.015 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.015 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.015 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.015 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.015 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.017 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.018 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.026 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.027 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.030 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.032 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.032 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.032 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.032 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.033 * [taylor]: Taking taylor expansion of 1/3 in y 1.033 * [backup-simplify]: Simplify 1/3 into 1/3 1.033 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [backup-simplify]: Simplify x into x 1.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [backup-simplify]: Simplify (+ 0 1) into 1 1.034 * [backup-simplify]: Simplify (log 1) into 0 1.034 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.034 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.034 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.038 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.038 * [taylor]: Taking taylor expansion of 1/3 in x 1.038 * [backup-simplify]: Simplify 1/3 into 1/3 1.039 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* 1 1) into 1 1.039 * [backup-simplify]: Simplify (/ 1 1) into 1 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.039 * [backup-simplify]: Simplify y into y 1.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.040 * [backup-simplify]: Simplify (+ 1 0) into 1 1.040 * [backup-simplify]: Simplify (log 1) into 0 1.041 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.041 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.041 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.041 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.041 * [taylor]: Taking taylor expansion of 1/3 in x 1.041 * [backup-simplify]: Simplify 1/3 into 1/3 1.041 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.042 * [backup-simplify]: Simplify (+ 1 0) into 1 1.042 * [backup-simplify]: Simplify (log 1) into 0 1.043 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.043 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.043 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.043 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.043 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.043 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.043 * [taylor]: Taking taylor expansion of -2/3 in y 1.043 * [backup-simplify]: Simplify -2/3 into -2/3 1.043 * [taylor]: Taking taylor expansion of (log x) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [backup-simplify]: Simplify x into x 1.043 * [backup-simplify]: Simplify (log x) into (log x) 1.043 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.043 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.043 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.045 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.046 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.047 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.048 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.050 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.051 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.052 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.052 * [taylor]: Taking taylor expansion of 1/3 in y 1.052 * [backup-simplify]: Simplify 1/3 into 1/3 1.052 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.052 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.052 * [taylor]: Taking taylor expansion of 1/3 in y 1.052 * [backup-simplify]: Simplify 1/3 into 1/3 1.052 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [backup-simplify]: Simplify x into x 1.052 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.052 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.052 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.052 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.057 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.061 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.063 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.064 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.068 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.068 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.069 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.070 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.070 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.070 * [taylor]: Taking taylor expansion of 1/3 in y 1.070 * [backup-simplify]: Simplify 1/3 into 1/3 1.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [backup-simplify]: Simplify x into x 1.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.071 * [backup-simplify]: Simplify (+ 0 1) into 1 1.071 * [backup-simplify]: Simplify (log 1) into 0 1.071 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.071 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.072 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.072 * [taylor]: Taking taylor expansion of 1/3 in x 1.072 * [backup-simplify]: Simplify 1/3 into 1/3 1.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [backup-simplify]: Simplify y into y 1.072 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.073 * [backup-simplify]: Simplify (+ 1 0) into 1 1.073 * [backup-simplify]: Simplify (log 1) into 0 1.073 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.073 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.073 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.073 * [taylor]: Taking taylor expansion of 1/3 in x 1.073 * [backup-simplify]: Simplify 1/3 into 1/3 1.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [backup-simplify]: Simplify y into y 1.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.074 * [backup-simplify]: Simplify (+ 1 0) into 1 1.075 * [backup-simplify]: Simplify (log 1) into 0 1.075 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.075 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.075 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.075 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.075 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.075 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.075 * [taylor]: Taking taylor expansion of -2/3 in y 1.075 * [backup-simplify]: Simplify -2/3 into -2/3 1.075 * [taylor]: Taking taylor expansion of (log x) in y 1.075 * [taylor]: Taking taylor expansion of x in y 1.075 * [backup-simplify]: Simplify x into x 1.075 * [backup-simplify]: Simplify (log x) into (log x) 1.075 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.075 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.075 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.078 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.078 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.079 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.080 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.082 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.083 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.084 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.084 * [taylor]: Taking taylor expansion of 1/3 in y 1.084 * [backup-simplify]: Simplify 1/3 into 1/3 1.084 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.084 * [taylor]: Taking taylor expansion of 1/3 in y 1.084 * [backup-simplify]: Simplify 1/3 into 1/3 1.084 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [backup-simplify]: Simplify x into x 1.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.084 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.084 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.084 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.091 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.094 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.095 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.099 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.101 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.101 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 1.101 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.101 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.101 * [taylor]: Taking taylor expansion of 1/3 in y 1.101 * [backup-simplify]: Simplify 1/3 into 1/3 1.102 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [backup-simplify]: Simplify x into x 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.102 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.102 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.102 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.102 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.102 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.102 * [taylor]: Taking taylor expansion of 1/3 in x 1.102 * [backup-simplify]: Simplify 1/3 into 1/3 1.102 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [backup-simplify]: Simplify y into y 1.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.102 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.102 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.103 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.103 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.103 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.103 * [taylor]: Taking taylor expansion of 1/3 in x 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [backup-simplify]: Simplify y into y 1.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.103 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.103 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.103 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.103 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.103 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.103 * [taylor]: Taking taylor expansion of 1/3 in y 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (log 1) into 0 1.104 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.104 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.104 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.104 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.105 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.106 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.108 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.108 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.109 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.109 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.111 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.112 * [taylor]: Taking taylor expansion of 1/3 in y 1.112 * [backup-simplify]: Simplify 1/3 into 1/3 1.112 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.112 * [taylor]: Taking taylor expansion of 1/3 in y 1.112 * [backup-simplify]: Simplify 1/3 into 1/3 1.112 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.112 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [backup-simplify]: Simplify (log 1) into 0 1.113 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.113 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.113 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.113 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.113 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.116 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.117 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.124 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.125 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.129 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.130 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.131 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.131 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.131 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.131 * [taylor]: Taking taylor expansion of 1/3 in y 1.131 * [backup-simplify]: Simplify 1/3 into 1/3 1.131 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.131 * [taylor]: Taking taylor expansion of x in y 1.131 * [backup-simplify]: Simplify x into x 1.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.131 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (* 1 1) into 1 1.132 * [backup-simplify]: Simplify (/ 1 1) into 1 1.132 * [backup-simplify]: Simplify (+ 0 1) into 1 1.132 * [backup-simplify]: Simplify (log 1) into 0 1.133 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.133 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.133 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.133 * [taylor]: Taking taylor expansion of 1/3 in x 1.133 * [backup-simplify]: Simplify 1/3 into 1/3 1.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (* 1 1) into 1 1.133 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [backup-simplify]: Simplify y into y 1.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.134 * [backup-simplify]: Simplify (+ 1 0) into 1 1.134 * [backup-simplify]: Simplify (log 1) into 0 1.134 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.134 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.135 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.135 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.135 * [taylor]: Taking taylor expansion of 1/3 in x 1.135 * [backup-simplify]: Simplify 1/3 into 1/3 1.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (/ 1 1) into 1 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.141 * [taylor]: Taking taylor expansion of y in x 1.141 * [backup-simplify]: Simplify y into y 1.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.141 * [backup-simplify]: Simplify (+ 1 0) into 1 1.142 * [backup-simplify]: Simplify (log 1) into 0 1.142 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.142 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.142 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.142 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.142 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.142 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.142 * [taylor]: Taking taylor expansion of -2/3 in y 1.142 * [backup-simplify]: Simplify -2/3 into -2/3 1.142 * [taylor]: Taking taylor expansion of (log x) in y 1.142 * [taylor]: Taking taylor expansion of x in y 1.142 * [backup-simplify]: Simplify x into x 1.142 * [backup-simplify]: Simplify (log x) into (log x) 1.142 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.142 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.143 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.145 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.145 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.145 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.146 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.147 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.149 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.150 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.150 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.150 * [taylor]: Taking taylor expansion of 1/3 in y 1.150 * [backup-simplify]: Simplify 1/3 into 1/3 1.150 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.150 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.150 * [taylor]: Taking taylor expansion of 1/3 in y 1.150 * [backup-simplify]: Simplify 1/3 into 1/3 1.151 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.151 * [backup-simplify]: Simplify x into x 1.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.151 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.151 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.151 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.159 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.159 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.159 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.161 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.162 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.166 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.168 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.168 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.168 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.168 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.168 * [taylor]: Taking taylor expansion of 1/3 in y 1.168 * [backup-simplify]: Simplify 1/3 into 1/3 1.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.168 * [backup-simplify]: Simplify x into x 1.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (* 1 1) into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.169 * [backup-simplify]: Simplify (+ 0 1) into 1 1.169 * [backup-simplify]: Simplify (log 1) into 0 1.170 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.170 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.170 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.170 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.170 * [taylor]: Taking taylor expansion of 1/3 in x 1.170 * [backup-simplify]: Simplify 1/3 into 1/3 1.170 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (* 1 1) into 1 1.171 * [backup-simplify]: Simplify (/ 1 1) into 1 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.171 * [taylor]: Taking taylor expansion of y in x 1.171 * [backup-simplify]: Simplify y into y 1.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.171 * [backup-simplify]: Simplify (+ 1 0) into 1 1.171 * [backup-simplify]: Simplify (log 1) into 0 1.171 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.172 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.172 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.172 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.172 * [taylor]: Taking taylor expansion of 1/3 in x 1.172 * [backup-simplify]: Simplify 1/3 into 1/3 1.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (* 1 1) into 1 1.172 * [backup-simplify]: Simplify (/ 1 1) into 1 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.172 * [taylor]: Taking taylor expansion of y in x 1.172 * [backup-simplify]: Simplify y into y 1.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.173 * [backup-simplify]: Simplify (+ 1 0) into 1 1.173 * [backup-simplify]: Simplify (log 1) into 0 1.173 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.173 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.173 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.173 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.173 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.173 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.173 * [taylor]: Taking taylor expansion of -2/3 in y 1.174 * [backup-simplify]: Simplify -2/3 into -2/3 1.174 * [taylor]: Taking taylor expansion of (log x) in y 1.174 * [taylor]: Taking taylor expansion of x in y 1.174 * [backup-simplify]: Simplify x into x 1.174 * [backup-simplify]: Simplify (log x) into (log x) 1.174 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.174 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.174 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.176 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.177 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.177 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.178 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.178 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.180 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.181 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.181 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.182 * [taylor]: Taking taylor expansion of 1/3 in y 1.182 * [backup-simplify]: Simplify 1/3 into 1/3 1.182 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.182 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.182 * [taylor]: Taking taylor expansion of 1/3 in y 1.182 * [backup-simplify]: Simplify 1/3 into 1/3 1.182 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.182 * [taylor]: Taking taylor expansion of x in y 1.182 * [backup-simplify]: Simplify x into x 1.182 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.182 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.182 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.182 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.186 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.192 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.193 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.197 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.199 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.199 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.199 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.199 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.199 * [taylor]: Taking taylor expansion of x in y 1.199 * [backup-simplify]: Simplify x into x 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.200 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.200 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.200 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [backup-simplify]: Simplify y into y 1.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.200 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.200 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.200 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [backup-simplify]: Simplify y into y 1.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.201 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.201 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.202 * [backup-simplify]: Simplify (+ 1 0) into 1 1.203 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.203 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.203 * [taylor]: Taking taylor expansion of 1/2 in y 1.203 * [backup-simplify]: Simplify 1/2 into 1/2 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.205 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.206 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.206 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [backup-simplify]: Simplify x into x 1.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (* 1 1) into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (+ 0 1) into 1 1.207 * [backup-simplify]: Simplify (sqrt 1) into 1 1.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (* 1 1) into 1 1.209 * [backup-simplify]: Simplify (/ 1 1) into 1 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.210 * [backup-simplify]: Simplify y into y 1.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.210 * [backup-simplify]: Simplify (+ 1 0) into 1 1.210 * [backup-simplify]: Simplify (sqrt 1) into 1 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (* 1 1) into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [backup-simplify]: Simplify y into y 1.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.213 * [backup-simplify]: Simplify (+ 1 0) into 1 1.213 * [backup-simplify]: Simplify (sqrt 1) into 1 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.214 * [taylor]: Taking taylor expansion of 1 in y 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.216 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.216 * [taylor]: Taking taylor expansion of 1/2 in y 1.216 * [backup-simplify]: Simplify 1/2 into 1/2 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (* 1 1) into 1 1.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.221 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.221 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.222 * [taylor]: Taking taylor expansion of x in y 1.222 * [backup-simplify]: Simplify x into x 1.222 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.222 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.222 * [backup-simplify]: Simplify (+ 0 1) into 1 1.223 * [backup-simplify]: Simplify (sqrt 1) into 1 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (* 1 1) into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.225 * [backup-simplify]: Simplify y into y 1.225 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.225 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.225 * [backup-simplify]: Simplify (sqrt 1) into 1 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (* 1 1) into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [backup-simplify]: Simplify y into y 1.227 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.228 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (sqrt 1) into 1 1.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.229 * [taylor]: Taking taylor expansion of 1 in y 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of 0 in y 1.229 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.231 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of 1/2 in y 1.231 * [backup-simplify]: Simplify 1/2 into 1/2 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (* 1 1) into 1 1.232 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.235 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.242 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.242 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.242 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.242 * [taylor]: Taking taylor expansion of x in y 1.242 * [backup-simplify]: Simplify x into x 1.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.242 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.242 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.242 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.243 * [taylor]: Taking taylor expansion of y in x 1.243 * [backup-simplify]: Simplify y into y 1.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.243 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.243 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [backup-simplify]: Simplify y into y 1.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.244 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.244 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.245 * [backup-simplify]: Simplify (+ 1 0) into 1 1.245 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.246 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.246 * [taylor]: Taking taylor expansion of 1/2 in y 1.246 * [backup-simplify]: Simplify 1/2 into 1/2 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.248 * [taylor]: Taking taylor expansion of 0 in y 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.248 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.248 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.248 * [taylor]: Taking taylor expansion of x in y 1.248 * [backup-simplify]: Simplify x into x 1.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.249 * [backup-simplify]: Simplify (+ 0 1) into 1 1.250 * [backup-simplify]: Simplify (sqrt 1) into 1 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (* 1 1) into 1 1.251 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.252 * [taylor]: Taking taylor expansion of y in x 1.252 * [backup-simplify]: Simplify y into y 1.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.252 * [backup-simplify]: Simplify (+ 1 0) into 1 1.252 * [backup-simplify]: Simplify (sqrt 1) into 1 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (* 1 1) into 1 1.254 * [backup-simplify]: Simplify (/ 1 1) into 1 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.254 * [taylor]: Taking taylor expansion of y in x 1.254 * [backup-simplify]: Simplify y into y 1.254 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.254 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.255 * [backup-simplify]: Simplify (+ 1 0) into 1 1.255 * [backup-simplify]: Simplify (sqrt 1) into 1 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.256 * [taylor]: Taking taylor expansion of 1 in y 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.258 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.258 * [taylor]: Taking taylor expansion of 1/2 in y 1.258 * [backup-simplify]: Simplify 1/2 into 1/2 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.263 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.263 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.263 * [taylor]: Taking taylor expansion of x in y 1.263 * [backup-simplify]: Simplify x into x 1.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (/ 1 1) into 1 1.264 * [backup-simplify]: Simplify (+ 0 1) into 1 1.264 * [backup-simplify]: Simplify (sqrt 1) into 1 1.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (* 1 1) into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.266 * [taylor]: Taking taylor expansion of y in x 1.266 * [backup-simplify]: Simplify y into y 1.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.267 * [backup-simplify]: Simplify (+ 1 0) into 1 1.267 * [backup-simplify]: Simplify (sqrt 1) into 1 1.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [backup-simplify]: Simplify y into y 1.269 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.269 * [backup-simplify]: Simplify (+ 1 0) into 1 1.269 * [backup-simplify]: Simplify (sqrt 1) into 1 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.271 * [taylor]: Taking taylor expansion of 1 in y 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.273 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.273 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of 1/2 in y 1.273 * [backup-simplify]: Simplify 1/2 into 1/2 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (* 1 1) into 1 1.273 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.277 * * * [progress]: simplifying candidates 1.278 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) y x (* -1 x) 1.279 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 1.282 * * [simplify]: iteration 0 : 141 enodes (cost 446 ) 1.285 * * [simplify]: iteration 1 : 440 enodes (cost 420 ) 1.293 * * [simplify]: iteration 2 : 1470 enodes (cost 416 ) 1.324 * * [simplify]: iteration 3 : 5001 enodes (cost 414 ) 1.326 * * * [progress]: adding candidates to table 1.527 * * [progress]: iteration 4 / 4 1.527 * * * [progress]: picking best candidate 1.530 * * * * [pick]: Picked # 1.530 * * * [progress]: localizing error 1.547 * * * [progress]: generating rewritten candidates 1.547 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.552 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.560 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.577 * * * [progress]: generating series expansions 1.577 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.577 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 1.577 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.577 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.577 * [taylor]: Taking taylor expansion of 1/3 in y 1.577 * [backup-simplify]: Simplify 1/3 into 1/3 1.577 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.577 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.577 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.577 * [taylor]: Taking taylor expansion of x in y 1.577 * [backup-simplify]: Simplify x into x 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.577 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.578 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.578 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.578 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.578 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.578 * [taylor]: Taking taylor expansion of 1/3 in x 1.578 * [backup-simplify]: Simplify 1/3 into 1/3 1.578 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.578 * [taylor]: Taking taylor expansion of y in x 1.578 * [backup-simplify]: Simplify y into y 1.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.578 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.578 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.578 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.578 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.578 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.578 * [taylor]: Taking taylor expansion of 1/3 in x 1.578 * [backup-simplify]: Simplify 1/3 into 1/3 1.578 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.579 * [taylor]: Taking taylor expansion of y in x 1.579 * [backup-simplify]: Simplify y into y 1.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.579 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.579 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.579 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.579 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.579 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.579 * [taylor]: Taking taylor expansion of 1/3 in y 1.579 * [backup-simplify]: Simplify 1/3 into 1/3 1.579 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (log 1) into 0 1.580 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.580 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.581 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.581 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.581 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.582 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in y 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.584 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.585 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (* 1 1) into 1 1.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.586 * [backup-simplify]: Simplify (+ 1 0) into 1 1.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.587 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.588 * [taylor]: Taking taylor expansion of 1/3 in y 1.588 * [backup-simplify]: Simplify 1/3 into 1/3 1.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.588 * [taylor]: Taking taylor expansion of 1/3 in y 1.588 * [backup-simplify]: Simplify 1/3 into 1/3 1.588 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.588 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [backup-simplify]: Simplify (log 1) into 0 1.590 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.590 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.590 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.590 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.590 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.592 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.593 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.594 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.598 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.601 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.601 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.605 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.607 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.607 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.607 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.607 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.607 * [taylor]: Taking taylor expansion of 1/3 in y 1.607 * [backup-simplify]: Simplify 1/3 into 1/3 1.607 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.608 * [backup-simplify]: Simplify x into x 1.608 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.612 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [backup-simplify]: Simplify (+ 0 1) into 1 1.614 * [backup-simplify]: Simplify (log 1) into 0 1.614 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.614 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.614 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.614 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.614 * [taylor]: Taking taylor expansion of 1/3 in x 1.614 * [backup-simplify]: Simplify 1/3 into 1/3 1.614 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [backup-simplify]: Simplify y into y 1.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.615 * [backup-simplify]: Simplify (+ 1 0) into 1 1.616 * [backup-simplify]: Simplify (log 1) into 0 1.616 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.616 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.616 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.616 * [taylor]: Taking taylor expansion of 1/3 in x 1.616 * [backup-simplify]: Simplify 1/3 into 1/3 1.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.617 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (log 1) into 0 1.618 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.618 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.618 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.618 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.618 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.618 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.618 * [taylor]: Taking taylor expansion of -2/3 in y 1.618 * [backup-simplify]: Simplify -2/3 into -2/3 1.618 * [taylor]: Taking taylor expansion of (log x) in y 1.618 * [taylor]: Taking taylor expansion of x in y 1.618 * [backup-simplify]: Simplify x into x 1.618 * [backup-simplify]: Simplify (log x) into (log x) 1.618 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.618 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.618 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.620 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.621 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.622 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.622 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.625 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.625 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.626 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.626 * [taylor]: Taking taylor expansion of 1/3 in y 1.626 * [backup-simplify]: Simplify 1/3 into 1/3 1.626 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.626 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.626 * [taylor]: Taking taylor expansion of 1/3 in y 1.626 * [backup-simplify]: Simplify 1/3 into 1/3 1.626 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.626 * [taylor]: Taking taylor expansion of x in y 1.626 * [backup-simplify]: Simplify x into x 1.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.626 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.627 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.627 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.627 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.634 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.635 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.637 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.638 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.642 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.643 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.644 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.644 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.644 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.644 * [taylor]: Taking taylor expansion of 1/3 in y 1.644 * [backup-simplify]: Simplify 1/3 into 1/3 1.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.644 * [taylor]: Taking taylor expansion of x in y 1.644 * [backup-simplify]: Simplify x into x 1.644 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.644 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.644 * [taylor]: Taking taylor expansion of y in y 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [backup-simplify]: Simplify (+ 0 1) into 1 1.645 * [backup-simplify]: Simplify (log 1) into 0 1.645 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.645 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.646 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.646 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.646 * [taylor]: Taking taylor expansion of 1/3 in x 1.646 * [backup-simplify]: Simplify 1/3 into 1/3 1.646 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.646 * [taylor]: Taking taylor expansion of y in x 1.646 * [backup-simplify]: Simplify y into y 1.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [backup-simplify]: Simplify (log 1) into 0 1.647 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.647 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.647 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.647 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.647 * [taylor]: Taking taylor expansion of 1/3 in x 1.647 * [backup-simplify]: Simplify 1/3 into 1/3 1.647 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.648 * [backup-simplify]: Simplify y into y 1.648 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.648 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.648 * [backup-simplify]: Simplify (+ 1 0) into 1 1.649 * [backup-simplify]: Simplify (log 1) into 0 1.649 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.649 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.649 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.649 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.649 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.649 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.649 * [taylor]: Taking taylor expansion of -2/3 in y 1.649 * [backup-simplify]: Simplify -2/3 into -2/3 1.649 * [taylor]: Taking taylor expansion of (log x) in y 1.649 * [taylor]: Taking taylor expansion of x in y 1.649 * [backup-simplify]: Simplify x into x 1.649 * [backup-simplify]: Simplify (log x) into (log x) 1.649 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.649 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.649 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.651 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.652 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.652 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.653 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.653 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.656 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.656 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.657 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.657 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.657 * [taylor]: Taking taylor expansion of 1/3 in y 1.657 * [backup-simplify]: Simplify 1/3 into 1/3 1.657 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.657 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.657 * [taylor]: Taking taylor expansion of 1/3 in y 1.657 * [backup-simplify]: Simplify 1/3 into 1/3 1.657 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.657 * [taylor]: Taking taylor expansion of x in y 1.657 * [backup-simplify]: Simplify x into x 1.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.657 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.658 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.658 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* 1 1) into 1 1.658 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.666 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.668 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.669 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.672 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.674 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.674 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.674 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.675 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [backup-simplify]: Simplify x into x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.675 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.675 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.675 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [backup-simplify]: Simplify y into y 1.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.676 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.676 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.676 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [backup-simplify]: Simplify y into y 1.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.676 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.676 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* 1 1) into 1 1.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.678 * [backup-simplify]: Simplify (+ 1 0) into 1 1.678 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.678 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.678 * [taylor]: Taking taylor expansion of 1/2 in y 1.678 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.681 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.681 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.681 * [backup-simplify]: Simplify x into x 1.681 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.681 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [backup-simplify]: Simplify (+ 0 1) into 1 1.682 * [backup-simplify]: Simplify (sqrt 1) into 1 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [backup-simplify]: Simplify y into y 1.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.685 * [backup-simplify]: Simplify (+ 1 0) into 1 1.685 * [backup-simplify]: Simplify (sqrt 1) into 1 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.687 * [taylor]: Taking taylor expansion of y in x 1.687 * [backup-simplify]: Simplify y into y 1.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.688 * [backup-simplify]: Simplify (sqrt 1) into 1 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.689 * [taylor]: Taking taylor expansion of 1 in y 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.691 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.691 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of 1/2 in y 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.696 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.696 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.696 * [taylor]: Taking taylor expansion of x in y 1.696 * [backup-simplify]: Simplify x into x 1.696 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.696 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [backup-simplify]: Simplify (+ 0 1) into 1 1.697 * [backup-simplify]: Simplify (sqrt 1) into 1 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.699 * [taylor]: Taking taylor expansion of y in x 1.699 * [backup-simplify]: Simplify y into y 1.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.699 * [backup-simplify]: Simplify (+ 1 0) into 1 1.699 * [backup-simplify]: Simplify (sqrt 1) into 1 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.701 * [taylor]: Taking taylor expansion of y in x 1.701 * [backup-simplify]: Simplify y into y 1.702 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.702 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.702 * [backup-simplify]: Simplify (+ 1 0) into 1 1.702 * [backup-simplify]: Simplify (sqrt 1) into 1 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.703 * [taylor]: Taking taylor expansion of 1 in y 1.703 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.705 * [taylor]: Taking taylor expansion of 1/2 in y 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.714 * [taylor]: Taking taylor expansion of 0 in y 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.715 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.715 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.715 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.715 * [taylor]: Taking taylor expansion of x in y 1.715 * [backup-simplify]: Simplify x into x 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.715 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.715 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.716 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.716 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.716 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.717 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.717 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [backup-simplify]: Simplify y into y 1.717 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.717 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.717 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.717 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.717 * [taylor]: Taking taylor expansion of y in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.718 * [backup-simplify]: Simplify (+ 1 0) into 1 1.719 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.719 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.719 * [taylor]: Taking taylor expansion of 1/2 in y 1.719 * [backup-simplify]: Simplify 1/2 into 1/2 1.719 * [taylor]: Taking taylor expansion of y in y 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in y 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.722 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.722 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.722 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.722 * [taylor]: Taking taylor expansion of x in y 1.722 * [backup-simplify]: Simplify x into x 1.722 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.722 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (* 1 1) into 1 1.722 * [backup-simplify]: Simplify (/ 1 1) into 1 1.723 * [backup-simplify]: Simplify (+ 0 1) into 1 1.723 * [backup-simplify]: Simplify (sqrt 1) into 1 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.725 * [backup-simplify]: Simplify y into y 1.725 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.725 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.725 * [backup-simplify]: Simplify (sqrt 1) into 1 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [backup-simplify]: Simplify y into y 1.728 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.728 * [backup-simplify]: Simplify (+ 1 0) into 1 1.728 * [backup-simplify]: Simplify (sqrt 1) into 1 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.730 * [taylor]: Taking taylor expansion of 1 in y 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [taylor]: Taking taylor expansion of 0 in y 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.732 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.732 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.732 * [taylor]: Taking taylor expansion of 1/2 in y 1.732 * [backup-simplify]: Simplify 1/2 into 1/2 1.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.735 * [taylor]: Taking taylor expansion of 0 in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.737 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.737 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.737 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.737 * [taylor]: Taking taylor expansion of x in y 1.737 * [backup-simplify]: Simplify x into x 1.737 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.737 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.737 * [taylor]: Taking taylor expansion of y in y 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 1 1) into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [backup-simplify]: Simplify (+ 0 1) into 1 1.738 * [backup-simplify]: Simplify (sqrt 1) into 1 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (* 1 1) into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.740 * [backup-simplify]: Simplify y into y 1.740 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.740 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.741 * [backup-simplify]: Simplify (sqrt 1) into 1 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (* 1 1) into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.743 * [taylor]: Taking taylor expansion of y in x 1.743 * [backup-simplify]: Simplify y into y 1.743 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.743 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (sqrt 1) into 1 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.745 * [taylor]: Taking taylor expansion of 1 in y 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of 0 in y 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.747 * [taylor]: Taking taylor expansion of 1/2 in y 1.747 * [backup-simplify]: Simplify 1/2 into 1/2 1.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (* 1 1) into 1 1.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.750 * [taylor]: Taking taylor expansion of 0 in y 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.751 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.751 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.751 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.752 * [taylor]: Taking taylor expansion of x in y 1.752 * [backup-simplify]: Simplify x into x 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.752 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.752 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.752 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.752 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [backup-simplify]: Simplify y into y 1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.753 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.753 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.753 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.753 * [taylor]: Taking taylor expansion of y in x 1.753 * [backup-simplify]: Simplify y into y 1.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.753 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.753 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.754 * [taylor]: Taking taylor expansion of y in y 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [taylor]: Taking taylor expansion of 0 in y 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* 1 1) into 1 1.754 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.755 * [backup-simplify]: Simplify (+ 1 0) into 1 1.755 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.755 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.755 * [taylor]: Taking taylor expansion of 1/2 in y 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of y in y 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.757 * [taylor]: Taking taylor expansion of 0 in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.758 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.758 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.758 * [taylor]: Taking taylor expansion of x in y 1.758 * [backup-simplify]: Simplify x into x 1.758 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.758 * [taylor]: Taking taylor expansion of y in y 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [backup-simplify]: Simplify (+ 0 1) into 1 1.759 * [backup-simplify]: Simplify (sqrt 1) into 1 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* 1 1) into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.761 * [taylor]: Taking taylor expansion of y in x 1.761 * [backup-simplify]: Simplify y into y 1.761 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.762 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.762 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [backup-simplify]: Simplify (sqrt 1) into 1 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.764 * [taylor]: Taking taylor expansion of y in x 1.764 * [backup-simplify]: Simplify y into y 1.764 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.764 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.764 * [backup-simplify]: Simplify (+ 1 0) into 1 1.765 * [backup-simplify]: Simplify (sqrt 1) into 1 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.766 * [taylor]: Taking taylor expansion of 1 in y 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.768 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.768 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.768 * [taylor]: Taking taylor expansion of 1/2 in y 1.768 * [backup-simplify]: Simplify 1/2 into 1/2 1.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.768 * [taylor]: Taking taylor expansion of y in y 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.772 * [taylor]: Taking taylor expansion of 0 in y 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.773 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.773 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.773 * [taylor]: Taking taylor expansion of x in y 1.773 * [backup-simplify]: Simplify x into x 1.773 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (+ 0 1) into 1 1.774 * [backup-simplify]: Simplify (sqrt 1) into 1 1.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.776 * [taylor]: Taking taylor expansion of x in x 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (* 1 1) into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.776 * [taylor]: Taking taylor expansion of y in x 1.776 * [backup-simplify]: Simplify y into y 1.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.777 * [backup-simplify]: Simplify (+ 1 0) into 1 1.777 * [backup-simplify]: Simplify (sqrt 1) into 1 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.779 * [backup-simplify]: Simplify y into y 1.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.779 * [backup-simplify]: Simplify (+ 1 0) into 1 1.779 * [backup-simplify]: Simplify (sqrt 1) into 1 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.781 * [taylor]: Taking taylor expansion of 1 in y 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [taylor]: Taking taylor expansion of 0 in y 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of 1/2 in y 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.788 * * * [progress]: simplifying candidates 1.789 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) y x (* -1 x) y x (* -1 x) 1.789 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 1.793 * * [simplify]: iteration 0 : 141 enodes (cost 422 ) 1.796 * * [simplify]: iteration 1 : 440 enodes (cost 404 ) 1.804 * * [simplify]: iteration 2 : 1470 enodes (cost 402 ) 1.836 * * [simplify]: iteration 3 : 5001 enodes (cost 399 ) 1.839 * * * [progress]: adding candidates to table 2.061 * [progress]: [Phase 3 of 3] Extracting. 2.061 * * [regime]: Finding splitpoints for: (# # # #) 2.062 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 2.062 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 2.076 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 2.095 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 2.111 * * * * [regimes]: Trying to branch on y from (# # # #) 2.130 * * * * [regimes]: Trying to branch on x from (# # # #) 2.147 * * * [regime]: Found split indices: #