31.747 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: iteration 2 : 8 enodes (cost 6 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration done: 8 enodes (cost 6 ) 0.030 * [simplify]: Simplified to: (fma x x (* y y)) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 0.054 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.054 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.054 * [taylor]: Taking taylor expansion of (* x x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.055 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (* x x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.055 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (* x x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.056 * [backup-simplify]: Simplify (* 0 0) into 0 0.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.056 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) 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 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.063 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 0.063 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.063 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.063 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.064 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.065 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.065 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.078 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 0.078 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.078 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.078 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ -1 1) into -1 0.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ -1 1) into -1 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.080 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.080 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.080 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [backup-simplify]: Simplify -1 into -1 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ -1 1) into -1 0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.080 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [backup-simplify]: Simplify -1 into -1 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ -1 1) into -1 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.081 * [backup-simplify]: Simplify (* -1 -1) into 1 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.096 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: Extracting # 3 : cost 0 0.097 * * [simplify]: Extracting # 4 : cost 0 0.097 * * [simplify]: Extracting # 5 : cost 0 0.097 * * [simplify]: iteration 0 : 18 enodes (cost 108 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: iteration 1 : 27 enodes (cost 105 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: iteration 2 : 71 enodes (cost 85 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: Extracting # 3 : cost 0 0.135 * * [simplify]: Extracting # 4 : cost 0 0.135 * * [simplify]: iteration 3 : 175 enodes (cost 85 ) 0.210 * * [simplify]: Extracting # 0 : cost 0 0.210 * * [simplify]: Extracting # 1 : cost 0 0.211 * * [simplify]: Extracting # 2 : cost 0 0.212 * * [simplify]: Extracting # 3 : cost 0 0.212 * * [simplify]: Extracting # 4 : cost 0 0.213 * * [simplify]: iteration 4 : 472 enodes (cost 85 ) 0.836 * * [simplify]: Extracting # 0 : cost 0 0.838 * * [simplify]: Extracting # 1 : cost 0 0.841 * * [simplify]: Extracting # 2 : cost 0 0.843 * * [simplify]: Extracting # 3 : cost 0 0.845 * * [simplify]: Extracting # 4 : cost 0 0.846 * * [simplify]: iteration 5 : 1746 enodes (cost 85 ) 4.933 * * [simplify]: Extracting # 0 : cost 0 4.939 * * [simplify]: Extracting # 1 : cost 0 4.941 * * [simplify]: Extracting # 2 : cost 0 4.944 * * [simplify]: Extracting # 3 : cost 0 4.947 * * [simplify]: Extracting # 4 : cost 0 4.949 * * [simplify]: iteration 6 : 4966 enodes (cost 85 ) 5.866 * * [simplify]: Extracting # 0 : cost 0 5.871 * * [simplify]: iteration done: 5000 enodes (cost 85 ) 5.871 * [simplify]: Simplified to: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (pow y 2)) 3) (hypot y x) (hypot y x) (fma x x (pow y 2)) (fma x x (pow y 2)) (fma x x (pow y 2)) 5.871 * * * [progress]: adding candidates to table 5.907 * * [progress]: iteration 2 / 4 5.907 * * * [progress]: picking best candidate 5.908 * * * * [pick]: Picked # 5.908 * * * [progress]: localizing error 5.916 * * * [progress]: generating rewritten candidates 5.916 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.927 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 5.927 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.929 * * * [progress]: generating series expansions 5.929 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.929 * [backup-simplify]: Simplify (* (hypot y x) (hypot y x)) into (pow (hypot y x) 2) 5.929 * [approximate]: Taking taylor expansion of (pow (hypot y x) 2) in (y x) around 0 5.929 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in x 5.929 * [taylor]: Taking taylor expansion of (hypot y x) in x 5.929 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.929 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 5.929 * [taylor]: Taking taylor expansion of (* y y) in x 5.929 * [taylor]: Taking taylor expansion of y in x 5.929 * [backup-simplify]: Simplify y into y 5.929 * [taylor]: Taking taylor expansion of y in x 5.929 * [backup-simplify]: Simplify y into y 5.929 * [taylor]: Taking taylor expansion of (* x x) in x 5.930 * [taylor]: Taking taylor expansion of x in x 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.930 * [taylor]: Taking taylor expansion of x in x 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.930 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.930 * [backup-simplify]: Simplify (* 0 0) into 0 5.930 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.930 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.930 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.931 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.931 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 5.932 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.932 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.932 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.932 * [taylor]: Taking taylor expansion of (* y y) in y 5.932 * [taylor]: Taking taylor expansion of y in y 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify 1 into 1 5.932 * [taylor]: Taking taylor expansion of y in y 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify 1 into 1 5.932 * [taylor]: Taking taylor expansion of (* x x) in y 5.932 * [taylor]: Taking taylor expansion of x in y 5.932 * [backup-simplify]: Simplify x into x 5.932 * [taylor]: Taking taylor expansion of x in y 5.932 * [backup-simplify]: Simplify x into x 5.932 * [backup-simplify]: Simplify (* 0 0) into 0 5.932 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.932 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.932 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.933 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.934 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 5.934 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.934 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.934 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.934 * [taylor]: Taking taylor expansion of (* y y) in y 5.934 * [taylor]: Taking taylor expansion of y in y 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of y in y 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of (* x x) in y 5.934 * [taylor]: Taking taylor expansion of x in y 5.934 * [backup-simplify]: Simplify x into x 5.934 * [taylor]: Taking taylor expansion of x in y 5.934 * [backup-simplify]: Simplify x into x 5.934 * [backup-simplify]: Simplify (* 0 0) into 0 5.934 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.934 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.935 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.935 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.936 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.936 * [taylor]: Taking taylor expansion of x in x 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.936 * [taylor]: Taking taylor expansion of 0 in x 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.937 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.937 * [backup-simplify]: Simplify (+ 1 0) into 1 5.938 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.938 * [backup-simplify]: Simplify (+ (* x (/ 1/2 x)) (+ (* 0 0) (* (/ 1/2 x) x))) into 1 5.938 * [taylor]: Taking taylor expansion of 1 in x 5.938 * [backup-simplify]: Simplify 1 into 1 5.938 * [backup-simplify]: Simplify 1 into 1 5.938 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify (* 1 1) into 1 5.939 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.940 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.941 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1/2 x)) (+ (* (/ 1/2 x) 0) (* 0 x)))) into 0 5.941 * [taylor]: Taking taylor expansion of 0 in x 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.943 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 5.943 * [backup-simplify]: Simplify (+ 0 0) into 0 5.944 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 x) 2) (+ (* 2 (* 0 0)))) (* 2 x)) into (/ -1/8 (pow x 3)) 5.945 * [backup-simplify]: Simplify (+ (* x (/ -1/8 (pow x 3))) (+ (* 0 0) (+ (* (/ 1/2 x) (/ 1/2 x)) (+ (* 0 0) (* (/ -1/8 (pow x 3)) x))))) into 0 5.945 * [taylor]: Taking taylor expansion of 0 in x 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 5.946 * [backup-simplify]: Simplify (* (hypot (/ 1 y) (/ 1 x)) (hypot (/ 1 y) (/ 1 x))) into (pow (hypot (/ 1 y) (/ 1 x)) 2) 5.946 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in (y x) around 0 5.946 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in x 5.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 5.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 5.946 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.946 * [taylor]: Taking taylor expansion of y in x 5.946 * [backup-simplify]: Simplify y into y 5.946 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.946 * [taylor]: Taking taylor expansion of y in x 5.946 * [backup-simplify]: Simplify y into y 5.946 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.946 * [taylor]: Taking taylor expansion of x in x 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (/ 1 1) into 1 5.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.947 * [taylor]: Taking taylor expansion of x in x 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (/ 1 1) into 1 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.948 * [backup-simplify]: Simplify (+ 0 1) into 1 5.948 * [backup-simplify]: Simplify (sqrt 1) into 1 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.951 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 5.951 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.951 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.951 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.951 * [taylor]: Taking taylor expansion of y in y 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.951 * [taylor]: Taking taylor expansion of y in y 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.952 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.952 * [taylor]: Taking taylor expansion of x in y 5.952 * [backup-simplify]: Simplify x into x 5.952 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.952 * [taylor]: Taking taylor expansion of x in y 5.952 * [backup-simplify]: Simplify x into x 5.952 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.952 * [backup-simplify]: Simplify (* 1 1) into 1 5.952 * [backup-simplify]: Simplify (+ 1 0) into 1 5.953 * [backup-simplify]: Simplify (sqrt 1) into 1 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.955 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 5.955 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.955 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.955 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.955 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.955 * [taylor]: Taking taylor expansion of y in y 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.956 * [taylor]: Taking taylor expansion of y in y 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.956 * [taylor]: Taking taylor expansion of x in y 5.956 * [backup-simplify]: Simplify x into x 5.956 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.956 * [taylor]: Taking taylor expansion of x in y 5.956 * [backup-simplify]: Simplify x into x 5.956 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.957 * [backup-simplify]: Simplify (* 1 1) into 1 5.957 * [backup-simplify]: Simplify (+ 1 0) into 1 5.957 * [backup-simplify]: Simplify (sqrt 1) into 1 5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.959 * [backup-simplify]: Simplify (+ 0 0) into 0 5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.960 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [taylor]: Taking taylor expansion of 1 in x 5.960 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.961 * [taylor]: Taking taylor expansion of 0 in x 5.961 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.963 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 5.963 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.964 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.965 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 5.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (* 1 1) into 1 5.966 * [backup-simplify]: Simplify (/ 1 1) into 1 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify 1 into 1 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.968 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 5.969 * [backup-simplify]: Simplify (+ 0 0) into 0 5.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 5.970 * [taylor]: Taking taylor expansion of 0 in x 5.970 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.975 * [backup-simplify]: Simplify (+ 0 0) into 0 5.976 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 5.977 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow x 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow x 2)) (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ -1/8 (pow x 4)) 1))))) into 0 5.977 * [taylor]: Taking taylor expansion of 0 in x 5.977 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.979 * [backup-simplify]: Simplify (* (hypot (/ 1 (- y)) (/ 1 (- x))) (hypot (/ 1 (- y)) (/ 1 (- x)))) into (pow (hypot (/ -1 y) (/ -1 x)) 2) 5.979 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in (y x) around 0 5.979 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in x 5.979 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 5.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.979 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 5.979 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.979 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.979 * [taylor]: Taking taylor expansion of -1 in x 5.979 * [backup-simplify]: Simplify -1 into -1 5.979 * [taylor]: Taking taylor expansion of y in x 5.979 * [backup-simplify]: Simplify y into y 5.979 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.979 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.979 * [taylor]: Taking taylor expansion of -1 in x 5.979 * [backup-simplify]: Simplify -1 into -1 5.980 * [taylor]: Taking taylor expansion of y in x 5.980 * [backup-simplify]: Simplify y into y 5.980 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.980 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.980 * [taylor]: Taking taylor expansion of -1 in x 5.980 * [backup-simplify]: Simplify -1 into -1 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.980 * [backup-simplify]: Simplify (/ -1 1) into -1 5.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.980 * [taylor]: Taking taylor expansion of -1 in x 5.980 * [backup-simplify]: Simplify -1 into -1 5.980 * [taylor]: Taking taylor expansion of x in x 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (/ -1 1) into -1 5.981 * [backup-simplify]: Simplify (* -1 -1) into 1 5.981 * [backup-simplify]: Simplify (+ 0 1) into 1 5.981 * [backup-simplify]: Simplify (sqrt 1) into 1 5.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.984 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 5.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.984 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.984 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.984 * [taylor]: Taking taylor expansion of -1 in y 5.984 * [backup-simplify]: Simplify -1 into -1 5.984 * [taylor]: Taking taylor expansion of y in y 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ -1 1) into -1 5.985 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.985 * [taylor]: Taking taylor expansion of -1 in y 5.985 * [backup-simplify]: Simplify -1 into -1 5.985 * [taylor]: Taking taylor expansion of y in y 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ -1 1) into -1 5.985 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.985 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.985 * [taylor]: Taking taylor expansion of -1 in y 5.985 * [backup-simplify]: Simplify -1 into -1 5.985 * [taylor]: Taking taylor expansion of x in y 5.985 * [backup-simplify]: Simplify x into x 5.985 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.986 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.986 * [taylor]: Taking taylor expansion of -1 in y 5.986 * [backup-simplify]: Simplify -1 into -1 5.986 * [taylor]: Taking taylor expansion of x in y 5.986 * [backup-simplify]: Simplify x into x 5.986 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.986 * [backup-simplify]: Simplify (* -1 -1) into 1 5.986 * [backup-simplify]: Simplify (+ 1 0) into 1 5.987 * [backup-simplify]: Simplify (sqrt 1) into 1 5.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.989 * [backup-simplify]: Simplify (+ 0 0) into 0 5.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.989 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 5.989 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.989 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.989 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.990 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.990 * [taylor]: Taking taylor expansion of -1 in y 5.990 * [backup-simplify]: Simplify -1 into -1 5.990 * [taylor]: Taking taylor expansion of y in y 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (/ -1 1) into -1 5.990 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.990 * [taylor]: Taking taylor expansion of -1 in y 5.990 * [backup-simplify]: Simplify -1 into -1 5.990 * [taylor]: Taking taylor expansion of y in y 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (/ -1 1) into -1 5.991 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.991 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.991 * [taylor]: Taking taylor expansion of -1 in y 5.991 * [backup-simplify]: Simplify -1 into -1 5.991 * [taylor]: Taking taylor expansion of x in y 5.991 * [backup-simplify]: Simplify x into x 5.991 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.991 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.991 * [taylor]: Taking taylor expansion of -1 in y 5.991 * [backup-simplify]: Simplify -1 into -1 5.991 * [taylor]: Taking taylor expansion of x in y 5.991 * [backup-simplify]: Simplify x into x 5.991 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.991 * [backup-simplify]: Simplify (* -1 -1) into 1 5.991 * [backup-simplify]: Simplify (+ 1 0) into 1 5.992 * [backup-simplify]: Simplify (sqrt 1) into 1 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.994 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.995 * [backup-simplify]: Simplify (* 1 1) into 1 5.995 * [taylor]: Taking taylor expansion of 1 in x 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.995 * [taylor]: Taking taylor expansion of 0 in x 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.998 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 5.998 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.999 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 6.004 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 6.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.004 * [taylor]: Taking taylor expansion of x in x 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.004 * [backup-simplify]: Simplify (* 1 1) into 1 6.004 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 6.008 * [taylor]: Taking taylor expansion of 0 in x 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.011 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.011 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.011 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.012 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 6.013 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow x 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow x 2)) (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ -1/8 (pow x 4)) 1))))) into 0 6.013 * [taylor]: Taking taylor expansion of 0 in x 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.014 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 6.015 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 6.015 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 6.015 * [taylor]: Taking taylor expansion of (hypot y x) in x 6.015 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.015 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 6.015 * [taylor]: Taking taylor expansion of (* y y) in x 6.015 * [taylor]: Taking taylor expansion of y in x 6.015 * [backup-simplify]: Simplify y into y 6.015 * [taylor]: Taking taylor expansion of y in x 6.015 * [backup-simplify]: Simplify y into y 6.015 * [taylor]: Taking taylor expansion of (* x x) in x 6.015 * [taylor]: Taking taylor expansion of x in x 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.015 * [taylor]: Taking taylor expansion of x in x 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 1 into 1 6.015 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.015 * [backup-simplify]: Simplify (* 0 0) into 0 6.015 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.015 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.015 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.016 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.016 * [backup-simplify]: Simplify (+ 0 0) into 0 6.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.016 * [taylor]: Taking taylor expansion of (hypot y x) in y 6.016 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.016 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 6.016 * [taylor]: Taking taylor expansion of (* y y) in y 6.016 * [taylor]: Taking taylor expansion of y in y 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of y in y 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of (* x x) in y 6.016 * [taylor]: Taking taylor expansion of x in y 6.016 * [backup-simplify]: Simplify x into x 6.016 * [taylor]: Taking taylor expansion of x in y 6.016 * [backup-simplify]: Simplify x into x 6.017 * [backup-simplify]: Simplify (* 0 0) into 0 6.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.017 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.017 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.017 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.017 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.018 * [taylor]: Taking taylor expansion of (hypot y x) in y 6.018 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.018 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 6.018 * [taylor]: Taking taylor expansion of (* y y) in y 6.018 * [taylor]: Taking taylor expansion of y in y 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [taylor]: Taking taylor expansion of y in y 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [taylor]: Taking taylor expansion of (* x x) in y 6.018 * [taylor]: Taking taylor expansion of x in y 6.018 * [backup-simplify]: Simplify x into x 6.018 * [taylor]: Taking taylor expansion of x in y 6.018 * [backup-simplify]: Simplify x into x 6.018 * [backup-simplify]: Simplify (* 0 0) into 0 6.018 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.018 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.018 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.019 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.019 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.019 * [taylor]: Taking taylor expansion of x in x 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in x 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.020 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 6.021 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.021 * [taylor]: Taking taylor expansion of 1/2 in x 6.021 * [backup-simplify]: Simplify 1/2 into 1/2 6.021 * [taylor]: Taking taylor expansion of x in x 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.023 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 6.023 * [taylor]: Taking taylor expansion of 0 in x 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.024 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 6.024 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 6.024 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 6.024 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.024 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 6.024 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.024 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [backup-simplify]: Simplify y into y 6.024 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.024 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [backup-simplify]: Simplify y into y 6.024 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.024 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.025 * [taylor]: Taking taylor expansion of x in x 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [backup-simplify]: Simplify (* 1 1) into 1 6.025 * [backup-simplify]: Simplify (+ 0 1) into 1 6.026 * [backup-simplify]: Simplify (sqrt 1) into 1 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.027 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 6.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.028 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 6.028 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.028 * [taylor]: Taking taylor expansion of y in y 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.028 * [taylor]: Taking taylor expansion of y in y 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.028 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.028 * [taylor]: Taking taylor expansion of x in y 6.028 * [backup-simplify]: Simplify x into x 6.028 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.028 * [taylor]: Taking taylor expansion of x in y 6.028 * [backup-simplify]: Simplify x into x 6.028 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.029 * [backup-simplify]: Simplify (* 1 1) into 1 6.029 * [backup-simplify]: Simplify (+ 1 0) into 1 6.029 * [backup-simplify]: Simplify (sqrt 1) into 1 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.031 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.031 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 6.031 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.031 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 6.031 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.031 * [taylor]: Taking taylor expansion of y in y 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.031 * [taylor]: Taking taylor expansion of y in y 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (/ 1 1) into 1 6.032 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.032 * [taylor]: Taking taylor expansion of x in y 6.032 * [backup-simplify]: Simplify x into x 6.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.032 * [taylor]: Taking taylor expansion of x in y 6.032 * [backup-simplify]: Simplify x into x 6.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.032 * [backup-simplify]: Simplify (* 1 1) into 1 6.032 * [backup-simplify]: Simplify (+ 1 0) into 1 6.033 * [backup-simplify]: Simplify (sqrt 1) into 1 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.034 * [backup-simplify]: Simplify (+ 0 0) into 0 6.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.034 * [taylor]: Taking taylor expansion of 1 in x 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of 0 in x 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.036 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 6.036 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 6.037 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.037 * [taylor]: Taking taylor expansion of 1/2 in x 6.037 * [backup-simplify]: Simplify 1/2 into 1/2 6.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.038 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.040 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 6.041 * [taylor]: Taking taylor expansion of 0 in x 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 6.042 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 6.042 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 6.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 6.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 6.042 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.042 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.042 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of y in x 6.043 * [backup-simplify]: Simplify y into y 6.043 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.043 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of y in x 6.043 * [backup-simplify]: Simplify y into y 6.043 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.043 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ -1 1) into -1 6.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.043 * [taylor]: Taking taylor expansion of -1 in x 6.043 * [backup-simplify]: Simplify -1 into -1 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ -1 1) into -1 6.044 * [backup-simplify]: Simplify (* -1 -1) into 1 6.044 * [backup-simplify]: Simplify (+ 0 1) into 1 6.044 * [backup-simplify]: Simplify (sqrt 1) into 1 6.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.046 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 6.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.046 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 6.046 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.046 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.046 * [taylor]: Taking taylor expansion of -1 in y 6.046 * [backup-simplify]: Simplify -1 into -1 6.046 * [taylor]: Taking taylor expansion of y in y 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (/ -1 1) into -1 6.047 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.047 * [taylor]: Taking taylor expansion of -1 in y 6.047 * [backup-simplify]: Simplify -1 into -1 6.047 * [taylor]: Taking taylor expansion of y in y 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (/ -1 1) into -1 6.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.047 * [taylor]: Taking taylor expansion of -1 in y 6.047 * [backup-simplify]: Simplify -1 into -1 6.047 * [taylor]: Taking taylor expansion of x in y 6.047 * [backup-simplify]: Simplify x into x 6.047 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.047 * [taylor]: Taking taylor expansion of -1 in y 6.047 * [backup-simplify]: Simplify -1 into -1 6.047 * [taylor]: Taking taylor expansion of x in y 6.047 * [backup-simplify]: Simplify x into x 6.047 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.047 * [backup-simplify]: Simplify (* -1 -1) into 1 6.048 * [backup-simplify]: Simplify (+ 1 0) into 1 6.048 * [backup-simplify]: Simplify (sqrt 1) into 1 6.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.049 * [backup-simplify]: Simplify (+ 0 0) into 0 6.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.050 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 6.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.050 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 6.050 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.050 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.050 * [taylor]: Taking taylor expansion of -1 in y 6.050 * [backup-simplify]: Simplify -1 into -1 6.050 * [taylor]: Taking taylor expansion of y in y 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 1 into 1 6.050 * [backup-simplify]: Simplify (/ -1 1) into -1 6.050 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.050 * [taylor]: Taking taylor expansion of -1 in y 6.050 * [backup-simplify]: Simplify -1 into -1 6.050 * [taylor]: Taking taylor expansion of y in y 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (/ -1 1) into -1 6.051 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.051 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.051 * [taylor]: Taking taylor expansion of -1 in y 6.051 * [backup-simplify]: Simplify -1 into -1 6.051 * [taylor]: Taking taylor expansion of x in y 6.051 * [backup-simplify]: Simplify x into x 6.051 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.051 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.051 * [taylor]: Taking taylor expansion of -1 in y 6.051 * [backup-simplify]: Simplify -1 into -1 6.051 * [taylor]: Taking taylor expansion of x in y 6.051 * [backup-simplify]: Simplify x into x 6.051 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.051 * [backup-simplify]: Simplify (* -1 -1) into 1 6.051 * [backup-simplify]: Simplify (+ 1 0) into 1 6.052 * [backup-simplify]: Simplify (sqrt 1) into 1 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.054 * [taylor]: Taking taylor expansion of 1 in x 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of 0 in x 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.055 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 6.055 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.056 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 6.056 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.056 * [taylor]: Taking taylor expansion of 1/2 in x 6.056 * [backup-simplify]: Simplify 1/2 into 1/2 6.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.056 * [taylor]: Taking taylor expansion of x in x 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (* 1 1) into 1 6.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.060 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.060 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.060 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 6.060 * [taylor]: Taking taylor expansion of 0 in x 6.060 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 6.062 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 6.062 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 6.062 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 6.062 * [taylor]: Taking taylor expansion of (hypot y x) in x 6.062 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.062 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 6.062 * [taylor]: Taking taylor expansion of (* y y) in x 6.062 * [taylor]: Taking taylor expansion of y in x 6.062 * [backup-simplify]: Simplify y into y 6.062 * [taylor]: Taking taylor expansion of y in x 6.062 * [backup-simplify]: Simplify y into y 6.062 * [taylor]: Taking taylor expansion of (* x x) in x 6.062 * [taylor]: Taking taylor expansion of x in x 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.063 * [backup-simplify]: Simplify (* 0 0) into 0 6.063 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.063 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.064 * [backup-simplify]: Simplify (+ 0 0) into 0 6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.064 * [taylor]: Taking taylor expansion of (hypot y x) in y 6.064 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.064 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 6.064 * [taylor]: Taking taylor expansion of (* y y) in y 6.064 * [taylor]: Taking taylor expansion of y in y 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.064 * [taylor]: Taking taylor expansion of y in y 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.064 * [taylor]: Taking taylor expansion of (* x x) in y 6.064 * [taylor]: Taking taylor expansion of x in y 6.064 * [backup-simplify]: Simplify x into x 6.064 * [taylor]: Taking taylor expansion of x in y 6.065 * [backup-simplify]: Simplify x into x 6.065 * [backup-simplify]: Simplify (* 0 0) into 0 6.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.065 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.065 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.066 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.066 * [taylor]: Taking taylor expansion of (hypot y x) in y 6.066 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 6.066 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 6.066 * [taylor]: Taking taylor expansion of (* y y) in y 6.066 * [taylor]: Taking taylor expansion of y in y 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [taylor]: Taking taylor expansion of y in y 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [taylor]: Taking taylor expansion of (* x x) in y 6.066 * [taylor]: Taking taylor expansion of x in y 6.066 * [backup-simplify]: Simplify x into x 6.067 * [taylor]: Taking taylor expansion of x in y 6.067 * [backup-simplify]: Simplify x into x 6.067 * [backup-simplify]: Simplify (* 0 0) into 0 6.067 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.067 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.067 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.068 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.068 * [taylor]: Taking taylor expansion of x in x 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [taylor]: Taking taylor expansion of 0 in x 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.069 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.070 * [backup-simplify]: Simplify (+ 1 0) into 1 6.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 6.070 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.070 * [taylor]: Taking taylor expansion of 1/2 in x 6.070 * [backup-simplify]: Simplify 1/2 into 1/2 6.070 * [taylor]: Taking taylor expansion of x in x 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.073 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 6.074 * [taylor]: Taking taylor expansion of 0 in x 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.075 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 6.075 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 6.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 6.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 6.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.075 * [taylor]: Taking taylor expansion of y in x 6.075 * [backup-simplify]: Simplify y into y 6.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.075 * [taylor]: Taking taylor expansion of y in x 6.075 * [backup-simplify]: Simplify y into y 6.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.075 * [taylor]: Taking taylor expansion of x in x 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.076 * [taylor]: Taking taylor expansion of x in x 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (+ 0 1) into 1 6.077 * [backup-simplify]: Simplify (sqrt 1) into 1 6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 6.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 6.079 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.079 * [taylor]: Taking taylor expansion of y in y 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (/ 1 1) into 1 6.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.080 * [taylor]: Taking taylor expansion of y in y 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (/ 1 1) into 1 6.080 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.080 * [taylor]: Taking taylor expansion of x in y 6.080 * [backup-simplify]: Simplify x into x 6.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.080 * [taylor]: Taking taylor expansion of x in y 6.080 * [backup-simplify]: Simplify x into x 6.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.081 * [backup-simplify]: Simplify (* 1 1) into 1 6.081 * [backup-simplify]: Simplify (+ 1 0) into 1 6.081 * [backup-simplify]: Simplify (sqrt 1) into 1 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 6.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 6.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 6.084 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.084 * [taylor]: Taking taylor expansion of y in y 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify (/ 1 1) into 1 6.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.084 * [taylor]: Taking taylor expansion of y in y 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.085 * [taylor]: Taking taylor expansion of x in y 6.085 * [backup-simplify]: Simplify x into x 6.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.085 * [taylor]: Taking taylor expansion of x in y 6.085 * [backup-simplify]: Simplify x into x 6.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.085 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (+ 1 0) into 1 6.086 * [backup-simplify]: Simplify (sqrt 1) into 1 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.089 * [taylor]: Taking taylor expansion of 1 in x 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [taylor]: Taking taylor expansion of 0 in x 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.091 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 6.091 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.092 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 6.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.092 * [taylor]: Taking taylor expansion of 1/2 in x 6.092 * [backup-simplify]: Simplify 1/2 into 1/2 6.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.092 * [taylor]: Taking taylor expansion of x in x 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (* 1 1) into 1 6.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 6.097 * [taylor]: Taking taylor expansion of 0 in x 6.097 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 6.099 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 6.099 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 6.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 6.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 6.099 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.099 * [taylor]: Taking taylor expansion of -1 in x 6.099 * [backup-simplify]: Simplify -1 into -1 6.099 * [taylor]: Taking taylor expansion of y in x 6.099 * [backup-simplify]: Simplify y into y 6.099 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.100 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.100 * [taylor]: Taking taylor expansion of -1 in x 6.100 * [backup-simplify]: Simplify -1 into -1 6.100 * [taylor]: Taking taylor expansion of y in x 6.100 * [backup-simplify]: Simplify y into y 6.100 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.100 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.100 * [taylor]: Taking taylor expansion of -1 in x 6.100 * [backup-simplify]: Simplify -1 into -1 6.100 * [taylor]: Taking taylor expansion of x in x 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify (/ -1 1) into -1 6.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.104 * [taylor]: Taking taylor expansion of -1 in x 6.104 * [backup-simplify]: Simplify -1 into -1 6.104 * [taylor]: Taking taylor expansion of x in x 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (/ -1 1) into -1 6.104 * [backup-simplify]: Simplify (* -1 -1) into 1 6.105 * [backup-simplify]: Simplify (+ 0 1) into 1 6.105 * [backup-simplify]: Simplify (sqrt 1) into 1 6.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.107 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.107 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 6.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 6.108 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.108 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.108 * [taylor]: Taking taylor expansion of -1 in y 6.108 * [backup-simplify]: Simplify -1 into -1 6.108 * [taylor]: Taking taylor expansion of y in y 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (/ -1 1) into -1 6.108 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.108 * [taylor]: Taking taylor expansion of -1 in y 6.108 * [backup-simplify]: Simplify -1 into -1 6.108 * [taylor]: Taking taylor expansion of y in y 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (/ -1 1) into -1 6.108 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.108 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.108 * [taylor]: Taking taylor expansion of -1 in y 6.108 * [backup-simplify]: Simplify -1 into -1 6.108 * [taylor]: Taking taylor expansion of x in y 6.108 * [backup-simplify]: Simplify x into x 6.109 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.109 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.109 * [taylor]: Taking taylor expansion of -1 in y 6.109 * [backup-simplify]: Simplify -1 into -1 6.109 * [taylor]: Taking taylor expansion of x in y 6.109 * [backup-simplify]: Simplify x into x 6.109 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.109 * [backup-simplify]: Simplify (* -1 -1) into 1 6.109 * [backup-simplify]: Simplify (+ 1 0) into 1 6.109 * [backup-simplify]: Simplify (sqrt 1) into 1 6.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 6.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 6.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 6.111 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.111 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.111 * [taylor]: Taking taylor expansion of -1 in y 6.111 * [backup-simplify]: Simplify -1 into -1 6.111 * [taylor]: Taking taylor expansion of y in y 6.111 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (/ -1 1) into -1 6.112 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.112 * [taylor]: Taking taylor expansion of -1 in y 6.112 * [backup-simplify]: Simplify -1 into -1 6.112 * [taylor]: Taking taylor expansion of y in y 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (/ -1 1) into -1 6.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.112 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.112 * [taylor]: Taking taylor expansion of -1 in y 6.112 * [backup-simplify]: Simplify -1 into -1 6.112 * [taylor]: Taking taylor expansion of x in y 6.112 * [backup-simplify]: Simplify x into x 6.112 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.112 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.112 * [taylor]: Taking taylor expansion of -1 in y 6.112 * [backup-simplify]: Simplify -1 into -1 6.112 * [taylor]: Taking taylor expansion of x in y 6.112 * [backup-simplify]: Simplify x into x 6.112 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.113 * [backup-simplify]: Simplify (* -1 -1) into 1 6.113 * [backup-simplify]: Simplify (+ 1 0) into 1 6.113 * [backup-simplify]: Simplify (sqrt 1) into 1 6.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.116 * [taylor]: Taking taylor expansion of 1 in x 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [taylor]: Taking taylor expansion of 0 in x 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.118 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 6.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 6.119 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.119 * [taylor]: Taking taylor expansion of 1/2 in x 6.119 * [backup-simplify]: Simplify 1/2 into 1/2 6.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.119 * [taylor]: Taking taylor expansion of x in x 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.124 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.124 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 6.125 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 6.125 * [taylor]: Taking taylor expansion of 0 in x 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 6.127 * * * [progress]: simplifying candidates 6.128 * [simplify]: Simplifying: (expm1 (* (hypot y x) (hypot y x))) (log1p (* (hypot y x) (hypot y x))) (+ 1 1) (* (hypot y x) (hypot y x)) (+ 1 1) (+ (log (hypot y x)) (log (hypot y x))) (log (* (hypot y x) (hypot y x))) (exp (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x))) (* (cbrt (* (hypot y x) (hypot y x))) (cbrt (* (hypot y x) (hypot y x)))) (cbrt (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (* (hypot y x) (hypot y x))) (* (hypot y x) (hypot y x))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (sqrt (* (hypot y x) (hypot y x))) (sqrt (* (hypot y x) (hypot y x))) (* (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 1 1) (* (hypot y x) (hypot y x)) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 2 1) (* (hypot y x) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (hypot y x) (sqrt (hypot y x))) (* (hypot y x) 1) (* (cbrt (hypot y x)) (hypot y x)) (* (sqrt (hypot y x)) (hypot y x)) (* (hypot y x) (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) x y (* -1 y) 6.129 * * [simplify]: Extracting # 0 : cost 0 6.129 * * [simplify]: Extracting # 1 : cost 0 6.129 * * [simplify]: Extracting # 2 : cost 0 6.129 * * [simplify]: Extracting # 3 : cost 0 6.129 * * [simplify]: Extracting # 4 : cost 0 6.129 * * [simplify]: iteration 0 : 44 enodes (cost 423 ) 6.143 * * [simplify]: Extracting # 0 : cost 0 6.143 * * [simplify]: Extracting # 1 : cost 0 6.143 * * [simplify]: Extracting # 2 : cost 0 6.143 * * [simplify]: iteration 1 : 80 enodes (cost 367 ) 6.169 * * [simplify]: Extracting # 0 : cost 0 6.169 * * [simplify]: Extracting # 1 : cost 0 6.170 * * [simplify]: Extracting # 2 : cost 0 6.170 * * [simplify]: Extracting # 3 : cost 0 6.170 * * [simplify]: iteration 2 : 197 enodes (cost 315 ) 6.259 * * [simplify]: Extracting # 0 : cost 0 6.260 * * [simplify]: Extracting # 1 : cost 0 6.263 * * [simplify]: Extracting # 2 : cost 0 6.264 * * [simplify]: Extracting # 3 : cost 0 6.264 * * [simplify]: Extracting # 4 : cost 0 6.264 * * [simplify]: iteration 3 : 465 enodes (cost 289 ) 6.501 * * [simplify]: Extracting # 0 : cost 0 6.503 * * [simplify]: Extracting # 1 : cost 0 6.504 * * [simplify]: Extracting # 2 : cost 0 6.505 * * [simplify]: Extracting # 3 : cost 0 6.506 * * [simplify]: Extracting # 4 : cost 0 6.507 * * [simplify]: iteration 4 : 1023 enodes (cost 284 ) 9.018 * * [simplify]: Extracting # 0 : cost 0 9.025 * * [simplify]: Extracting # 1 : cost 0 9.036 * * [simplify]: Extracting # 2 : cost 0 9.042 * * [simplify]: Extracting # 3 : cost 0 9.047 * * [simplify]: Extracting # 4 : cost 0 9.052 * * [simplify]: iteration 5 : 4982 enodes (cost 266 ) 11.305 * * [simplify]: Extracting # 0 : cost 0 11.309 * * [simplify]: iteration done: 5000 enodes (cost 266 ) 11.309 * [simplify]: Simplified to: (expm1 (pow (hypot y x) 2)) (log1p (pow (hypot y x) 2)) 2 (pow (hypot y x) 2) 2 (* 2 (log (hypot y x))) (* 2 (log (hypot y x))) (exp (pow (hypot y x) 2)) (pow (hypot y x) 6) (* (cbrt (pow (hypot y x) 2)) (cbrt (pow (hypot y x) 2))) (cbrt (pow (hypot y x) 2)) (pow (hypot y x) 6) (* (fma y y (* x x)) (fma y y (* x x))) (fabs (hypot y x)) (fabs (hypot y x)) (pow (cbrt (hypot y x)) 4) (pow (cbrt (hypot y x)) 2) (hypot y x) (hypot y x) 1 (pow (hypot y x) 2) (hypot y x) (hypot y x) 2 (pow (cbrt (hypot y x)) 5) (pow (sqrt (hypot y x)) 3) (hypot y x) (pow (cbrt (hypot y x)) 4) (pow (sqrt (hypot y x)) 3) (pow (hypot y x) 2) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (pow (cbrt (hypot y x)) 2) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (pow (cbrt (hypot y x)) 2) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x x)) x y (- y) x y (- y) 11.310 * * * [progress]: adding candidates to table 11.443 * [progress]: [Phase 3 of 3] Extracting. 11.443 * * [regime]: Finding splitpoints for: (# #) 11.444 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 11.444 * * * * [regimes]: Trying to branch on (* y y) from (# #) 11.457 * * * * [regimes]: Trying to branch on y from (# #) 11.475 * * * * [regimes]: Trying to branch on x from (# #) 11.490 * * * [regime]: Found split indices: #