53.277 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: Extracting # 3 : cost 0 0.023 * * [simplify]: Extracting # 4 : cost 0 0.023 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration 2 : 8 enodes (cost 6 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration done: 8 enodes (cost 6 ) 0.027 * [simplify]: Simplified to: (fma x x (* y y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 0.036 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.036 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.036 * [taylor]: Taking taylor expansion of (* x x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [backup-simplify]: Simplify x into x 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [backup-simplify]: Simplify x into x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.036 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.036 * [taylor]: Taking taylor expansion of (* x x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.037 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.037 * [taylor]: Taking taylor expansion of (* x x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [backup-simplify]: Simplify (* 0 0) into 0 0.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.037 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.038 * [backup-simplify]: Simplify (+ 0 0) into 0 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.039 * [backup-simplify]: Simplify (+ 1 0) into 1 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.043 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 0.044 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.044 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.044 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (* 1 1) into 1 0.044 * [backup-simplify]: Simplify (/ 1 1) into 1 0.044 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (/ 1 1) into 1 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (/ 1 1) into 1 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.045 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.045 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 1 0) into 1 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.058 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 0.058 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.058 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [backup-simplify]: Simplify -1 into -1 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ -1 1) into -1 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ -1 1) into -1 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.060 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.060 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ -1 1) into -1 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ -1 1) into -1 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.061 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.061 * [backup-simplify]: Simplify (* -1 -1) into 1 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 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 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.079 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.081 * * * [progress]: simplifying candidates 0.081 * [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)) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: Extracting # 3 : cost 0 0.082 * * [simplify]: Extracting # 4 : cost 0 0.082 * * [simplify]: Extracting # 5 : cost 0 0.082 * * [simplify]: iteration 0 : 18 enodes (cost 108 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.085 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: Extracting # 3 : cost 0 0.085 * * [simplify]: Extracting # 4 : cost 0 0.085 * * [simplify]: iteration 1 : 27 enodes (cost 105 ) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: Extracting # 1 : cost 0 0.091 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: iteration 2 : 71 enodes (cost 85 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: Extracting # 3 : cost 0 0.104 * * [simplify]: Extracting # 4 : cost 0 0.104 * * [simplify]: iteration 3 : 175 enodes (cost 85 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.163 * * [simplify]: Extracting # 4 : cost 0 0.163 * * [simplify]: iteration 4 : 472 enodes (cost 85 ) 0.600 * * [simplify]: Extracting # 0 : cost 0 0.602 * * [simplify]: Extracting # 1 : cost 0 0.604 * * [simplify]: Extracting # 2 : cost 0 0.605 * * [simplify]: Extracting # 3 : cost 0 0.607 * * [simplify]: Extracting # 4 : cost 0 0.608 * * [simplify]: iteration 5 : 1746 enodes (cost 85 ) 4.676 * * [simplify]: Extracting # 0 : cost 0 4.683 * * [simplify]: Extracting # 1 : cost 0 4.691 * * [simplify]: Extracting # 2 : cost 0 4.694 * * [simplify]: Extracting # 3 : cost 0 4.696 * * [simplify]: Extracting # 4 : cost 0 4.699 * * [simplify]: iteration 6 : 4966 enodes (cost 85 ) 5.577 * * [simplify]: Extracting # 0 : cost 0 5.580 * * [simplify]: iteration done: 5000 enodes (cost 85 ) 5.581 * [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)) 5.581 * * * [progress]: adding candidates to table 5.613 * * [progress]: iteration 2 / 4 5.613 * * * [progress]: picking best candidate 5.616 * * * * [pick]: Picked # 5.616 * * * [progress]: localizing error 5.623 * * * [progress]: generating rewritten candidates 5.623 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.633 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 5.634 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.636 * * * [progress]: generating series expansions 5.636 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.636 * [backup-simplify]: Simplify (* (hypot y x) (hypot y x)) into (pow (hypot y x) 2) 5.636 * [approximate]: Taking taylor expansion of (pow (hypot y x) 2) in (y x) around 0 5.636 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in x 5.636 * [taylor]: Taking taylor expansion of (hypot y x) in x 5.636 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.636 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 5.636 * [taylor]: Taking taylor expansion of (* y y) in x 5.636 * [taylor]: Taking taylor expansion of y in x 5.636 * [backup-simplify]: Simplify y into y 5.636 * [taylor]: Taking taylor expansion of y in x 5.636 * [backup-simplify]: Simplify y into y 5.636 * [taylor]: Taking taylor expansion of (* x x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.637 * [backup-simplify]: Simplify (* 0 0) into 0 5.637 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.637 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.637 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.638 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.638 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 5.638 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.638 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.638 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.638 * [taylor]: Taking taylor expansion of (* y y) in y 5.638 * [taylor]: Taking taylor expansion of y in y 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of y in y 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.638 * [taylor]: Taking taylor expansion of (* x x) in y 5.639 * [taylor]: Taking taylor expansion of x in y 5.639 * [backup-simplify]: Simplify x into x 5.639 * [taylor]: Taking taylor expansion of x in y 5.639 * [backup-simplify]: Simplify x into x 5.639 * [backup-simplify]: Simplify (* 0 0) into 0 5.639 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.639 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.639 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.640 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.640 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 5.640 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.640 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.640 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.640 * [taylor]: Taking taylor expansion of (* y y) in y 5.640 * [taylor]: Taking taylor expansion of y in y 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [taylor]: Taking taylor expansion of y in y 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [taylor]: Taking taylor expansion of (* x x) in y 5.641 * [taylor]: Taking taylor expansion of x in y 5.641 * [backup-simplify]: Simplify x into x 5.641 * [taylor]: Taking taylor expansion of x in y 5.641 * [backup-simplify]: Simplify x into x 5.641 * [backup-simplify]: Simplify (* 0 0) into 0 5.641 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.641 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.641 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.642 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.642 * [backup-simplify]: Simplify (+ 0 0) into 0 5.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.643 * [taylor]: Taking taylor expansion of x in x 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.643 * [taylor]: Taking taylor expansion of 0 in x 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.644 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.644 * [backup-simplify]: Simplify (+ 1 0) into 1 5.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.645 * [backup-simplify]: Simplify (+ (* x (/ 1/2 x)) (+ (* 0 0) (* (/ 1/2 x) x))) into 1 5.645 * [taylor]: Taking taylor expansion of 1 in x 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (* 1 1) into 1 5.646 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.653 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.653 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1/2 x)) (+ (* (/ 1/2 x) 0) (* 0 x)))) into 0 5.653 * [taylor]: Taking taylor expansion of 0 in x 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.656 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 x) 2) (+ (* 2 (* 0 0)))) (* 2 x)) into (/ -1/8 (pow x 3)) 5.658 * [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 5.658 * [taylor]: Taking taylor expansion of 0 in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 5.658 * [backup-simplify]: Simplify (* (hypot (/ 1 y) (/ 1 x)) (hypot (/ 1 y) (/ 1 x))) into (pow (hypot (/ 1 y) (/ 1 x)) 2) 5.658 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in (y x) around 0 5.658 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in x 5.658 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 5.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.659 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 5.659 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.659 * [taylor]: Taking taylor expansion of y in x 5.659 * [backup-simplify]: Simplify y into y 5.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.659 * [taylor]: Taking taylor expansion of y in x 5.659 * [backup-simplify]: Simplify y into y 5.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.659 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.659 * [taylor]: Taking taylor expansion of x in x 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify (/ 1 1) into 1 5.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.659 * [taylor]: Taking taylor expansion of x in x 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.660 * [backup-simplify]: Simplify (+ 0 1) into 1 5.661 * [backup-simplify]: Simplify (sqrt 1) into 1 5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.663 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 5.663 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.663 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.663 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.663 * [taylor]: Taking taylor expansion of y in y 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.664 * [taylor]: Taking taylor expansion of y in y 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.664 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.664 * [taylor]: Taking taylor expansion of x in y 5.664 * [backup-simplify]: Simplify x into x 5.664 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.664 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.664 * [taylor]: Taking taylor expansion of x in y 5.664 * [backup-simplify]: Simplify x into x 5.664 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.664 * [backup-simplify]: Simplify (* 1 1) into 1 5.665 * [backup-simplify]: Simplify (+ 1 0) into 1 5.665 * [backup-simplify]: Simplify (sqrt 1) into 1 5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.668 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 5.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.668 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (/ 1 1) into 1 5.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.669 * [taylor]: Taking taylor expansion of x in y 5.669 * [backup-simplify]: Simplify x into x 5.669 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.669 * [taylor]: Taking taylor expansion of x in y 5.669 * [backup-simplify]: Simplify x into x 5.669 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.669 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (+ 1 0) into 1 5.670 * [backup-simplify]: Simplify (sqrt 1) into 1 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.672 * [backup-simplify]: Simplify (* 1 1) into 1 5.672 * [taylor]: Taking taylor expansion of 1 in x 5.672 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.673 * [taylor]: Taking taylor expansion of 0 in x 5.673 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.675 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 5.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.676 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.677 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 5.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.677 * [taylor]: Taking taylor expansion of x in x 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [backup-simplify]: Simplify (* 1 1) into 1 5.677 * [backup-simplify]: Simplify (/ 1 1) into 1 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.679 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 5.681 * [taylor]: Taking taylor expansion of 0 in x 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.684 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.684 * [backup-simplify]: Simplify (+ 0 0) into 0 5.685 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 5.686 * [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 5.686 * [taylor]: Taking taylor expansion of 0 in x 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.687 * [backup-simplify]: Simplify (* (hypot (/ 1 (- y)) (/ 1 (- x))) (hypot (/ 1 (- y)) (/ 1 (- x)))) into (pow (hypot (/ -1 y) (/ -1 x)) 2) 5.687 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in (y x) around 0 5.687 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in x 5.687 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 5.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.687 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 5.687 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.687 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.687 * [taylor]: Taking taylor expansion of -1 in x 5.687 * [backup-simplify]: Simplify -1 into -1 5.687 * [taylor]: Taking taylor expansion of y in x 5.687 * [backup-simplify]: Simplify y into y 5.688 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.688 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.688 * [taylor]: Taking taylor expansion of -1 in x 5.688 * [backup-simplify]: Simplify -1 into -1 5.688 * [taylor]: Taking taylor expansion of y in x 5.688 * [backup-simplify]: Simplify y into y 5.688 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.688 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.688 * [taylor]: Taking taylor expansion of -1 in x 5.688 * [backup-simplify]: Simplify -1 into -1 5.688 * [taylor]: Taking taylor expansion of x in x 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (/ -1 1) into -1 5.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.688 * [taylor]: Taking taylor expansion of -1 in x 5.688 * [backup-simplify]: Simplify -1 into -1 5.688 * [taylor]: Taking taylor expansion of x in x 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (/ -1 1) into -1 5.689 * [backup-simplify]: Simplify (* -1 -1) into 1 5.689 * [backup-simplify]: Simplify (+ 0 1) into 1 5.689 * [backup-simplify]: Simplify (sqrt 1) into 1 5.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.691 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.691 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 5.691 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.691 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.691 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.691 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.691 * [taylor]: Taking taylor expansion of -1 in y 5.691 * [backup-simplify]: Simplify -1 into -1 5.691 * [taylor]: Taking taylor expansion of y in y 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (/ -1 1) into -1 5.692 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.692 * [taylor]: Taking taylor expansion of -1 in y 5.692 * [backup-simplify]: Simplify -1 into -1 5.692 * [taylor]: Taking taylor expansion of y in y 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (/ -1 1) into -1 5.692 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.692 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.692 * [taylor]: Taking taylor expansion of -1 in y 5.692 * [backup-simplify]: Simplify -1 into -1 5.692 * [taylor]: Taking taylor expansion of x in y 5.692 * [backup-simplify]: Simplify x into x 5.692 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.692 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.692 * [taylor]: Taking taylor expansion of -1 in y 5.692 * [backup-simplify]: Simplify -1 into -1 5.692 * [taylor]: Taking taylor expansion of x in y 5.692 * [backup-simplify]: Simplify x into x 5.692 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.693 * [backup-simplify]: Simplify (* -1 -1) into 1 5.693 * [backup-simplify]: Simplify (+ 1 0) into 1 5.693 * [backup-simplify]: Simplify (sqrt 1) into 1 5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.695 * [backup-simplify]: Simplify (+ 0 0) into 0 5.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.695 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 5.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.695 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.695 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.695 * [taylor]: Taking taylor expansion of -1 in y 5.695 * [backup-simplify]: Simplify -1 into -1 5.695 * [taylor]: Taking taylor expansion of y in y 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (/ -1 1) into -1 5.696 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.696 * [taylor]: Taking taylor expansion of -1 in y 5.696 * [backup-simplify]: Simplify -1 into -1 5.696 * [taylor]: Taking taylor expansion of y in y 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (/ -1 1) into -1 5.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.696 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.696 * [taylor]: Taking taylor expansion of -1 in y 5.696 * [backup-simplify]: Simplify -1 into -1 5.696 * [taylor]: Taking taylor expansion of x in y 5.696 * [backup-simplify]: Simplify x into x 5.696 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.696 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.696 * [taylor]: Taking taylor expansion of -1 in y 5.696 * [backup-simplify]: Simplify -1 into -1 5.696 * [taylor]: Taking taylor expansion of x in y 5.696 * [backup-simplify]: Simplify x into x 5.696 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.697 * [backup-simplify]: Simplify (* -1 -1) into 1 5.697 * [backup-simplify]: Simplify (+ 1 0) into 1 5.697 * [backup-simplify]: Simplify (sqrt 1) into 1 5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.699 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of 1 in x 5.699 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.700 * [taylor]: Taking taylor expansion of 0 in x 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.701 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 5.702 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.702 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.703 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 5.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (* 1 1) into 1 5.703 * [backup-simplify]: Simplify (/ 1 1) into 1 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.705 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.705 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.705 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 5.706 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 5.707 * [taylor]: Taking taylor expansion of 0 in x 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.710 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.710 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.710 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 5.710 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 5.712 * [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 5.712 * [taylor]: Taking taylor expansion of 0 in x 5.712 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.714 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 5.714 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 5.714 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 5.714 * [taylor]: Taking taylor expansion of (hypot y x) in x 5.714 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.714 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 5.714 * [taylor]: Taking taylor expansion of (* y y) in x 5.714 * [taylor]: Taking taylor expansion of y in x 5.714 * [backup-simplify]: Simplify y into y 5.714 * [taylor]: Taking taylor expansion of y in x 5.714 * [backup-simplify]: Simplify y into y 5.714 * [taylor]: Taking taylor expansion of (* x x) in x 5.714 * [taylor]: Taking taylor expansion of x in x 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.714 * [taylor]: Taking taylor expansion of x in x 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.714 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.714 * [backup-simplify]: Simplify (* 0 0) into 0 5.715 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.715 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.715 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.715 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.715 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.716 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.716 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.716 * [taylor]: Taking taylor expansion of (* y y) in y 5.716 * [taylor]: Taking taylor expansion of y in y 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [taylor]: Taking taylor expansion of y in y 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [taylor]: Taking taylor expansion of (* x x) in y 5.716 * [taylor]: Taking taylor expansion of x in y 5.716 * [backup-simplify]: Simplify x into x 5.716 * [taylor]: Taking taylor expansion of x in y 5.716 * [backup-simplify]: Simplify x into x 5.716 * [backup-simplify]: Simplify (* 0 0) into 0 5.716 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.716 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.716 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.717 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.717 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.717 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.717 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.717 * [taylor]: Taking taylor expansion of (* y y) in y 5.717 * [taylor]: Taking taylor expansion of y in y 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [taylor]: Taking taylor expansion of y in y 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [taylor]: Taking taylor expansion of (* x x) in y 5.717 * [taylor]: Taking taylor expansion of x in y 5.717 * [backup-simplify]: Simplify x into x 5.717 * [taylor]: Taking taylor expansion of x in y 5.717 * [backup-simplify]: Simplify x into x 5.718 * [backup-simplify]: Simplify (* 0 0) into 0 5.718 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.718 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.718 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.718 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.718 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.719 * [taylor]: Taking taylor expansion of x in x 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [taylor]: Taking taylor expansion of 0 in x 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.720 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.720 * [backup-simplify]: Simplify (+ 1 0) into 1 5.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.720 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.720 * [taylor]: Taking taylor expansion of 1/2 in x 5.720 * [backup-simplify]: Simplify 1/2 into 1/2 5.720 * [taylor]: Taking taylor expansion of x in x 5.720 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.722 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.723 * [taylor]: Taking taylor expansion of 0 in x 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.724 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 5.724 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 5.724 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 5.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.724 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 5.724 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.724 * [taylor]: Taking taylor expansion of y in x 5.724 * [backup-simplify]: Simplify y into y 5.724 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.724 * [taylor]: Taking taylor expansion of y in x 5.724 * [backup-simplify]: Simplify y into y 5.724 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.724 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.724 * [taylor]: Taking taylor expansion of x in x 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ 1 1) into 1 5.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.725 * [taylor]: Taking taylor expansion of x in x 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ 1 1) into 1 5.725 * [backup-simplify]: Simplify (* 1 1) into 1 5.726 * [backup-simplify]: Simplify (+ 0 1) into 1 5.726 * [backup-simplify]: Simplify (sqrt 1) into 1 5.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.728 * [backup-simplify]: Simplify (+ 0 0) into 0 5.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.729 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.729 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.729 * [taylor]: Taking taylor expansion of y in y 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ 1 1) into 1 5.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.729 * [taylor]: Taking taylor expansion of y in y 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ 1 1) into 1 5.729 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.729 * [taylor]: Taking taylor expansion of x in y 5.729 * [backup-simplify]: Simplify x into x 5.729 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.729 * [taylor]: Taking taylor expansion of x in y 5.729 * [backup-simplify]: Simplify x into x 5.730 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.730 * [backup-simplify]: Simplify (* 1 1) into 1 5.730 * [backup-simplify]: Simplify (+ 1 0) into 1 5.730 * [backup-simplify]: Simplify (sqrt 1) into 1 5.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.732 * [backup-simplify]: Simplify (+ 0 0) into 0 5.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.733 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.733 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.733 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.733 * [taylor]: Taking taylor expansion of y in y 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.733 * [taylor]: Taking taylor expansion of y in y 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.734 * [backup-simplify]: Simplify (/ 1 1) into 1 5.734 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.734 * [taylor]: Taking taylor expansion of x in y 5.734 * [backup-simplify]: Simplify x into x 5.734 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.734 * [taylor]: Taking taylor expansion of x in y 5.734 * [backup-simplify]: Simplify x into x 5.734 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.734 * [backup-simplify]: Simplify (* 1 1) into 1 5.735 * [backup-simplify]: Simplify (+ 1 0) into 1 5.735 * [backup-simplify]: Simplify (sqrt 1) into 1 5.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.737 * [backup-simplify]: Simplify (+ 0 0) into 0 5.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.737 * [taylor]: Taking taylor expansion of 1 in x 5.737 * [backup-simplify]: Simplify 1 into 1 5.737 * [taylor]: Taking taylor expansion of 0 in x 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.740 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 5.740 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.741 * [taylor]: Taking taylor expansion of 1/2 in x 5.741 * [backup-simplify]: Simplify 1/2 into 1/2 5.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.741 * [taylor]: Taking taylor expansion of x in x 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 1 into 1 5.741 * [backup-simplify]: Simplify (* 1 1) into 1 5.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.746 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.747 * [taylor]: Taking taylor expansion of 0 in x 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.749 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 5.749 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 5.749 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 5.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.749 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 5.749 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.749 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.749 * [taylor]: Taking taylor expansion of -1 in x 5.749 * [backup-simplify]: Simplify -1 into -1 5.749 * [taylor]: Taking taylor expansion of y in x 5.749 * [backup-simplify]: Simplify y into y 5.749 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.749 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.749 * [taylor]: Taking taylor expansion of -1 in x 5.749 * [backup-simplify]: Simplify -1 into -1 5.749 * [taylor]: Taking taylor expansion of y in x 5.749 * [backup-simplify]: Simplify y into y 5.749 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.749 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.749 * [taylor]: Taking taylor expansion of -1 in x 5.749 * [backup-simplify]: Simplify -1 into -1 5.749 * [taylor]: Taking taylor expansion of x in x 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (/ -1 1) into -1 5.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.750 * [taylor]: Taking taylor expansion of -1 in x 5.750 * [backup-simplify]: Simplify -1 into -1 5.750 * [taylor]: Taking taylor expansion of x in x 5.750 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (/ -1 1) into -1 5.751 * [backup-simplify]: Simplify (* -1 -1) into 1 5.751 * [backup-simplify]: Simplify (+ 0 1) into 1 5.751 * [backup-simplify]: Simplify (sqrt 1) into 1 5.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.757 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.757 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.758 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.758 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.758 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.758 * [taylor]: Taking taylor expansion of -1 in y 5.758 * [backup-simplify]: Simplify -1 into -1 5.758 * [taylor]: Taking taylor expansion of y in y 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (/ -1 1) into -1 5.758 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.758 * [taylor]: Taking taylor expansion of -1 in y 5.758 * [backup-simplify]: Simplify -1 into -1 5.758 * [taylor]: Taking taylor expansion of y in y 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (/ -1 1) into -1 5.759 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.759 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.759 * [taylor]: Taking taylor expansion of -1 in y 5.759 * [backup-simplify]: Simplify -1 into -1 5.759 * [taylor]: Taking taylor expansion of x in y 5.759 * [backup-simplify]: Simplify x into x 5.759 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.759 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.759 * [taylor]: Taking taylor expansion of -1 in y 5.759 * [backup-simplify]: Simplify -1 into -1 5.759 * [taylor]: Taking taylor expansion of x in y 5.759 * [backup-simplify]: Simplify x into x 5.759 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.759 * [backup-simplify]: Simplify (* -1 -1) into 1 5.760 * [backup-simplify]: Simplify (+ 1 0) into 1 5.760 * [backup-simplify]: Simplify (sqrt 1) into 1 5.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.762 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.762 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.763 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.763 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.763 * [taylor]: Taking taylor expansion of -1 in y 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of y in y 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ -1 1) into -1 5.763 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.763 * [taylor]: Taking taylor expansion of -1 in y 5.763 * [backup-simplify]: Simplify -1 into -1 5.763 * [taylor]: Taking taylor expansion of y in y 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (/ -1 1) into -1 5.764 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.764 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.764 * [taylor]: Taking taylor expansion of -1 in y 5.764 * [backup-simplify]: Simplify -1 into -1 5.764 * [taylor]: Taking taylor expansion of x in y 5.764 * [backup-simplify]: Simplify x into x 5.764 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.764 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.764 * [taylor]: Taking taylor expansion of -1 in y 5.764 * [backup-simplify]: Simplify -1 into -1 5.764 * [taylor]: Taking taylor expansion of x in y 5.764 * [backup-simplify]: Simplify x into x 5.764 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.764 * [backup-simplify]: Simplify (* -1 -1) into 1 5.764 * [backup-simplify]: Simplify (+ 1 0) into 1 5.765 * [backup-simplify]: Simplify (sqrt 1) into 1 5.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.767 * [taylor]: Taking taylor expansion of 1 in x 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of 0 in x 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.769 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 5.770 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.771 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.771 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.771 * [taylor]: Taking taylor expansion of 1/2 in x 5.771 * [backup-simplify]: Simplify 1/2 into 1/2 5.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.771 * [taylor]: Taking taylor expansion of x in x 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [backup-simplify]: Simplify (* 1 1) into 1 5.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.775 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.776 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.776 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.777 * [taylor]: Taking taylor expansion of 0 in x 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.778 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.779 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 5.779 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 5.779 * [taylor]: Taking taylor expansion of (hypot y x) in x 5.779 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.779 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 5.779 * [taylor]: Taking taylor expansion of (* y y) in x 5.779 * [taylor]: Taking taylor expansion of y in x 5.779 * [backup-simplify]: Simplify y into y 5.779 * [taylor]: Taking taylor expansion of y in x 5.779 * [backup-simplify]: Simplify y into y 5.779 * [taylor]: Taking taylor expansion of (* x x) in x 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.779 * [backup-simplify]: Simplify (* 0 0) into 0 5.779 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.780 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.780 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.781 * [backup-simplify]: Simplify (+ 0 0) into 0 5.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.781 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.781 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.781 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.781 * [taylor]: Taking taylor expansion of (* y y) in y 5.781 * [taylor]: Taking taylor expansion of y in y 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 1 into 1 5.781 * [taylor]: Taking taylor expansion of y in y 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 1 into 1 5.781 * [taylor]: Taking taylor expansion of (* x x) in y 5.781 * [taylor]: Taking taylor expansion of x in y 5.781 * [backup-simplify]: Simplify x into x 5.781 * [taylor]: Taking taylor expansion of x in y 5.781 * [backup-simplify]: Simplify x into x 5.781 * [backup-simplify]: Simplify (* 0 0) into 0 5.781 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.782 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.782 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.782 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.783 * [backup-simplify]: Simplify (+ 0 0) into 0 5.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.783 * [taylor]: Taking taylor expansion of (hypot y x) in y 5.783 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 5.783 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 5.783 * [taylor]: Taking taylor expansion of (* y y) in y 5.783 * [taylor]: Taking taylor expansion of y in y 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [taylor]: Taking taylor expansion of y in y 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [taylor]: Taking taylor expansion of (* x x) in y 5.783 * [taylor]: Taking taylor expansion of x in y 5.783 * [backup-simplify]: Simplify x into x 5.783 * [taylor]: Taking taylor expansion of x in y 5.783 * [backup-simplify]: Simplify x into x 5.784 * [backup-simplify]: Simplify (* 0 0) into 0 5.784 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.784 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.784 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.784 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.784 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.785 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.785 * [taylor]: Taking taylor expansion of x in x 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [taylor]: Taking taylor expansion of 0 in x 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.786 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.786 * [backup-simplify]: Simplify (+ 1 0) into 1 5.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 5.787 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.787 * [taylor]: Taking taylor expansion of 1/2 in x 5.787 * [backup-simplify]: Simplify 1/2 into 1/2 5.787 * [taylor]: Taking taylor expansion of x in x 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.790 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.790 * [backup-simplify]: Simplify (+ 0 0) into 0 5.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 5.790 * [taylor]: Taking taylor expansion of 0 in x 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 5.791 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 5.791 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 5.791 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 5.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.791 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 5.791 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.791 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.791 * [taylor]: Taking taylor expansion of y in x 5.791 * [backup-simplify]: Simplify y into y 5.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.791 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.791 * [taylor]: Taking taylor expansion of y in x 5.791 * [backup-simplify]: Simplify y into y 5.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.791 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.791 * [taylor]: Taking taylor expansion of x in x 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.792 * [taylor]: Taking taylor expansion of x in x 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [backup-simplify]: Simplify (* 1 1) into 1 5.792 * [backup-simplify]: Simplify (+ 0 1) into 1 5.793 * [backup-simplify]: Simplify (sqrt 1) into 1 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.795 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.795 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.795 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.795 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.795 * [taylor]: Taking taylor expansion of y in y 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (/ 1 1) into 1 5.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.796 * [taylor]: Taking taylor expansion of y in y 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (/ 1 1) into 1 5.796 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.796 * [taylor]: Taking taylor expansion of x in y 5.796 * [backup-simplify]: Simplify x into x 5.796 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.796 * [taylor]: Taking taylor expansion of x in y 5.796 * [backup-simplify]: Simplify x into x 5.796 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (+ 1 0) into 1 5.797 * [backup-simplify]: Simplify (sqrt 1) into 1 5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.799 * [backup-simplify]: Simplify (+ 0 0) into 0 5.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 5.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 5.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 5.800 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.800 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.800 * [taylor]: Taking taylor expansion of y in y 5.800 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 1 into 1 5.801 * [backup-simplify]: Simplify (/ 1 1) into 1 5.801 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.801 * [taylor]: Taking taylor expansion of y in y 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify 1 into 1 5.801 * [backup-simplify]: Simplify (/ 1 1) into 1 5.801 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.801 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.801 * [taylor]: Taking taylor expansion of x in y 5.801 * [backup-simplify]: Simplify x into x 5.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.801 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.801 * [taylor]: Taking taylor expansion of x in y 5.801 * [backup-simplify]: Simplify x into x 5.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.801 * [backup-simplify]: Simplify (* 1 1) into 1 5.802 * [backup-simplify]: Simplify (+ 1 0) into 1 5.802 * [backup-simplify]: Simplify (sqrt 1) into 1 5.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.804 * [backup-simplify]: Simplify (+ 0 0) into 0 5.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.805 * [taylor]: Taking taylor expansion of 1 in x 5.805 * [backup-simplify]: Simplify 1 into 1 5.805 * [taylor]: Taking taylor expansion of 0 in x 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.807 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 5.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.808 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.808 * [taylor]: Taking taylor expansion of 1/2 in x 5.808 * [backup-simplify]: Simplify 1/2 into 1/2 5.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.808 * [taylor]: Taking taylor expansion of x in x 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 1 into 1 5.808 * [backup-simplify]: Simplify (* 1 1) into 1 5.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 5.813 * [backup-simplify]: Simplify (+ 0 0) into 0 5.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.813 * [taylor]: Taking taylor expansion of 0 in x 5.813 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 5.815 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 5.815 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 5.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 5.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 5.815 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.815 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.815 * [taylor]: Taking taylor expansion of -1 in x 5.815 * [backup-simplify]: Simplify -1 into -1 5.815 * [taylor]: Taking taylor expansion of y in x 5.815 * [backup-simplify]: Simplify y into y 5.815 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.816 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.816 * [taylor]: Taking taylor expansion of -1 in x 5.816 * [backup-simplify]: Simplify -1 into -1 5.816 * [taylor]: Taking taylor expansion of y in x 5.816 * [backup-simplify]: Simplify y into y 5.816 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.816 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.816 * [taylor]: Taking taylor expansion of -1 in x 5.816 * [backup-simplify]: Simplify -1 into -1 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [backup-simplify]: Simplify (/ -1 1) into -1 5.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.816 * [taylor]: Taking taylor expansion of -1 in x 5.816 * [backup-simplify]: Simplify -1 into -1 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ -1 1) into -1 5.817 * [backup-simplify]: Simplify (* -1 -1) into 1 5.817 * [backup-simplify]: Simplify (+ 0 1) into 1 5.818 * [backup-simplify]: Simplify (sqrt 1) into 1 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.820 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.820 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.820 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.821 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.821 * [taylor]: Taking taylor expansion of -1 in y 5.821 * [backup-simplify]: Simplify -1 into -1 5.821 * [taylor]: Taking taylor expansion of y in y 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (/ -1 1) into -1 5.821 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.821 * [taylor]: Taking taylor expansion of -1 in y 5.821 * [backup-simplify]: Simplify -1 into -1 5.821 * [taylor]: Taking taylor expansion of y in y 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (/ -1 1) into -1 5.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.822 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.822 * [taylor]: Taking taylor expansion of -1 in y 5.822 * [backup-simplify]: Simplify -1 into -1 5.822 * [taylor]: Taking taylor expansion of x in y 5.822 * [backup-simplify]: Simplify x into x 5.822 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.822 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.822 * [taylor]: Taking taylor expansion of -1 in y 5.822 * [backup-simplify]: Simplify -1 into -1 5.822 * [taylor]: Taking taylor expansion of x in y 5.822 * [backup-simplify]: Simplify x into x 5.822 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.822 * [backup-simplify]: Simplify (* -1 -1) into 1 5.822 * [backup-simplify]: Simplify (+ 1 0) into 1 5.823 * [backup-simplify]: Simplify (sqrt 1) into 1 5.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.825 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 5.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 5.826 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 5.826 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.826 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.826 * [taylor]: Taking taylor expansion of -1 in y 5.826 * [backup-simplify]: Simplify -1 into -1 5.826 * [taylor]: Taking taylor expansion of y in y 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (/ -1 1) into -1 5.826 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.826 * [taylor]: Taking taylor expansion of -1 in y 5.826 * [backup-simplify]: Simplify -1 into -1 5.826 * [taylor]: Taking taylor expansion of y in y 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ -1 1) into -1 5.827 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.827 * [taylor]: Taking taylor expansion of -1 in y 5.827 * [backup-simplify]: Simplify -1 into -1 5.827 * [taylor]: Taking taylor expansion of x in y 5.827 * [backup-simplify]: Simplify x into x 5.827 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.827 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.827 * [taylor]: Taking taylor expansion of -1 in y 5.827 * [backup-simplify]: Simplify -1 into -1 5.827 * [taylor]: Taking taylor expansion of x in y 5.827 * [backup-simplify]: Simplify x into x 5.827 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.827 * [backup-simplify]: Simplify (* -1 -1) into 1 5.828 * [backup-simplify]: Simplify (+ 1 0) into 1 5.828 * [backup-simplify]: Simplify (sqrt 1) into 1 5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.830 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.831 * [taylor]: Taking taylor expansion of 1 in x 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [taylor]: Taking taylor expansion of 0 in x 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.833 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 5.833 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.834 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 5.834 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 5.834 * [taylor]: Taking taylor expansion of 1/2 in x 5.834 * [backup-simplify]: Simplify 1/2 into 1/2 5.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.835 * [taylor]: Taking taylor expansion of x in x 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [backup-simplify]: Simplify (* 1 1) into 1 5.835 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.839 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.839 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 5.840 * [taylor]: Taking taylor expansion of 0 in x 5.840 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 5.842 * * * [progress]: simplifying candidates 5.843 * [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) 5.844 * * [simplify]: Extracting # 0 : cost 0 5.844 * * [simplify]: Extracting # 1 : cost 0 5.844 * * [simplify]: Extracting # 2 : cost 0 5.844 * * [simplify]: Extracting # 3 : cost 0 5.844 * * [simplify]: Extracting # 4 : cost 0 5.844 * * [simplify]: iteration 0 : 44 enodes (cost 423 ) 5.858 * * [simplify]: Extracting # 0 : cost 0 5.859 * * [simplify]: Extracting # 1 : cost 0 5.859 * * [simplify]: Extracting # 2 : cost 0 5.859 * * [simplify]: iteration 1 : 80 enodes (cost 367 ) 5.886 * * [simplify]: Extracting # 0 : cost 0 5.886 * * [simplify]: Extracting # 1 : cost 0 5.887 * * [simplify]: Extracting # 2 : cost 0 5.887 * * [simplify]: Extracting # 3 : cost 0 5.887 * * [simplify]: iteration 2 : 197 enodes (cost 315 ) 5.981 * * [simplify]: Extracting # 0 : cost 0 5.981 * * [simplify]: Extracting # 1 : cost 0 5.982 * * [simplify]: Extracting # 2 : cost 0 5.982 * * [simplify]: Extracting # 3 : cost 0 5.983 * * [simplify]: Extracting # 4 : cost 0 5.983 * * [simplify]: iteration 3 : 465 enodes (cost 289 ) 6.275 * * [simplify]: Extracting # 0 : cost 0 6.276 * * [simplify]: Extracting # 1 : cost 0 6.277 * * [simplify]: Extracting # 2 : cost 0 6.278 * * [simplify]: Extracting # 3 : cost 0 6.280 * * [simplify]: Extracting # 4 : cost 0 6.281 * * [simplify]: iteration 4 : 1023 enodes (cost 284 ) 8.661 * * [simplify]: Extracting # 0 : cost 0 8.669 * * [simplify]: Extracting # 1 : cost 0 8.675 * * [simplify]: Extracting # 2 : cost 0 8.682 * * [simplify]: Extracting # 3 : cost 0 8.688 * * [simplify]: Extracting # 4 : cost 0 8.694 * * [simplify]: iteration 5 : 4982 enodes (cost 266 ) 11.148 * * [simplify]: Extracting # 0 : cost 0 11.160 * * [simplify]: iteration done: 5000 enodes (cost 266 ) 11.161 * [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) 11.161 * * * [progress]: adding candidates to table 11.330 * [progress]: [Phase 3 of 3] Extracting. 11.330 * * [regime]: Finding splitpoints for: (# #) 11.331 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 11.331 * * * * [regimes]: Trying to branch on (* y y) from (# #) 11.347 * * * * [regimes]: Trying to branch on y from (# #) 11.364 * * * * [regimes]: Trying to branch on x from (# #) 11.382 * * * [regime]: Found split indices: #