47.064 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: iteration done: 6 enodes (cost 7 ) 0.043 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.064 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 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 (+ (* y 0) (* 0 y)) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.071 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.089 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.101 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.102 * * [simplify]: Extracting # 0 : cost 0 0.102 * * [simplify]: Extracting # 1 : cost 0 0.102 * * [simplify]: Extracting # 2 : cost 0 0.102 * * [simplify]: Extracting # 3 : cost 0 0.102 * * [simplify]: Extracting # 4 : cost 0 0.102 * * [simplify]: Extracting # 5 : cost 0 0.102 * * [simplify]: Extracting # 6 : cost 0 0.102 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: Extracting # 2 : cost 0 0.110 * * [simplify]: Extracting # 3 : cost 0 0.110 * * [simplify]: Extracting # 4 : cost 0 0.110 * * [simplify]: iteration 1 : 100 enodes (cost 161 ) 0.146 * * [simplify]: Extracting # 0 : cost 0 0.146 * * [simplify]: Extracting # 1 : cost 0 0.146 * * [simplify]: Extracting # 2 : cost 0 0.146 * * [simplify]: Extracting # 3 : cost 0 0.147 * * [simplify]: Extracting # 4 : cost 0 0.147 * * [simplify]: iteration 2 : 291 enodes (cost 131 ) 0.282 * * [simplify]: Extracting # 0 : cost 0 0.283 * * [simplify]: Extracting # 1 : cost 0 0.283 * * [simplify]: Extracting # 2 : cost 0 0.284 * * [simplify]: Extracting # 3 : cost 0 0.284 * * [simplify]: iteration 3 : 694 enodes (cost 131 ) 0.702 * * [simplify]: Extracting # 0 : cost 0 0.705 * * [simplify]: Extracting # 1 : cost 0 0.708 * * [simplify]: Extracting # 2 : cost 0 0.711 * * [simplify]: Extracting # 3 : cost 0 0.713 * * [simplify]: Extracting # 4 : cost 0 0.716 * * [simplify]: iteration 4 : 1837 enodes (cost 131 ) 1.681 * * [simplify]: Extracting # 0 : cost 0 1.687 * * [simplify]: Extracting # 1 : cost 0 1.692 * * [simplify]: Extracting # 2 : cost 0 1.697 * * [simplify]: Extracting # 3 : cost 0 1.702 * * [simplify]: Extracting # 4 : cost 0 1.707 * * [simplify]: iteration done: 5000 enodes (cost 131 ) 1.707 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.707 * * * [progress]: adding candidates to table 1.737 * * [progress]: iteration 2 / 4 1.737 * * * [progress]: picking best candidate 1.740 * * * * [pick]: Picked # 1.740 * * * [progress]: localizing error 1.756 * * * [progress]: generating rewritten candidates 1.756 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.825 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.855 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.882 * * * [progress]: generating series expansions 1.883 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.883 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) 1.883 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (x y) around 0 1.883 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.883 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.883 * [taylor]: Taking taylor expansion of x in y 1.883 * [backup-simplify]: Simplify x into x 1.883 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.884 * [taylor]: Taking taylor expansion of x in y 1.884 * [backup-simplify]: Simplify x into x 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.884 * [taylor]: Taking taylor expansion of y in y 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.884 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.884 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.884 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.884 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.884 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.884 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.885 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.885 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.885 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.886 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.886 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.886 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.886 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 1.886 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 1.886 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.886 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [backup-simplify]: Simplify y into y 1.886 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [backup-simplify]: Simplify y into y 1.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.887 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.887 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.887 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.887 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.887 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.888 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 1.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.888 * [taylor]: Taking taylor expansion of y in y 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.888 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 1.890 * [taylor]: Taking taylor expansion of 0 in y 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.891 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1 1.894 * [taylor]: Taking taylor expansion of 1 in y 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0 1.899 * [taylor]: Taking taylor expansion of 0 in y 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.901 * [backup-simplify]: Simplify (* 1 1) into 1 1.902 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.903 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 1 0) into 1 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (- (/ 1 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))) (* 1 (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 0 1.907 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.908 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.908 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.908 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.908 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.908 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.908 * [taylor]: Taking taylor expansion of x in y 1.908 * [backup-simplify]: Simplify x into x 1.908 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.908 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.908 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.908 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.909 * [taylor]: Taking taylor expansion of y in y 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* 1 1) into 1 1.909 * [backup-simplify]: Simplify (* 1 1) into 1 1.910 * [backup-simplify]: Simplify (/ 1 1) into 1 1.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.910 * [taylor]: Taking taylor expansion of x in y 1.910 * [backup-simplify]: Simplify x into x 1.910 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.910 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.910 * [taylor]: Taking taylor expansion of y in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.912 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.913 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.913 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.913 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.913 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.914 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.914 * [backup-simplify]: Simplify y into y 1.914 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.914 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.915 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.915 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [backup-simplify]: Simplify y into y 1.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.917 * [backup-simplify]: Simplify (/ 1 1) into 1 1.917 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.917 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.918 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.918 * [taylor]: Taking taylor expansion of y in x 1.918 * [backup-simplify]: Simplify y into y 1.918 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.918 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.918 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.918 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.919 * [taylor]: Taking taylor expansion of y in x 1.919 * [backup-simplify]: Simplify y into y 1.919 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.920 * [backup-simplify]: Simplify (+ 1 0) into 1 1.920 * [backup-simplify]: Simplify (+ 1 0) into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of 1 in y 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.925 * [taylor]: Taking taylor expansion of 0 in y 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.929 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.931 * [taylor]: Taking taylor expansion of y in y 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* 1 1) into 1 1.931 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.938 * [taylor]: Taking taylor expansion of 0 in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.942 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.947 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.947 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.947 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.947 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.947 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.947 * [taylor]: Taking taylor expansion of x in y 1.947 * [backup-simplify]: Simplify x into x 1.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.947 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.947 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.947 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.947 * [taylor]: Taking taylor expansion of y in y 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.949 * [taylor]: Taking taylor expansion of x in y 1.949 * [backup-simplify]: Simplify x into x 1.949 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.949 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (- 1) into -1 1.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.951 * [backup-simplify]: Simplify (- 1) into -1 1.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.951 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.951 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.951 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.951 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.952 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.952 * [taylor]: Taking taylor expansion of y in x 1.952 * [backup-simplify]: Simplify y into y 1.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.953 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.953 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.953 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.954 * [taylor]: Taking taylor expansion of y in x 1.954 * [backup-simplify]: Simplify y into y 1.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.954 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.955 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.955 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.956 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.956 * [taylor]: Taking taylor expansion of y in x 1.956 * [backup-simplify]: Simplify y into y 1.956 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.957 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.957 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.957 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.958 * [backup-simplify]: Simplify y into y 1.958 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of 1 in y 1.959 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.963 * [taylor]: Taking taylor expansion of 0 in y 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.968 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.969 * [taylor]: Taking taylor expansion of y in y 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.982 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.987 * [taylor]: Taking taylor expansion of 0 in y 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.989 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.989 * [backup-simplify]: Simplify (- (pow x 4) (pow y 4)) into (- (pow x 4) (pow y 4)) 1.989 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 1.989 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.990 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.990 * [taylor]: Taking taylor expansion of x in y 1.990 * [backup-simplify]: Simplify x into x 1.990 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.990 * [taylor]: Taking taylor expansion of y in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.990 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [backup-simplify]: Simplify y into y 1.990 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.990 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [backup-simplify]: Simplify y into y 1.990 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.990 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.991 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.991 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.991 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.991 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [taylor]: Taking taylor expansion of 0 in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.993 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [taylor]: Taking taylor expansion of 0 in y 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.997 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 1.997 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.997 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.997 * [backup-simplify]: Simplify x into x 1.997 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.997 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.997 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.997 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.997 * [taylor]: Taking taylor expansion of y in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.998 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.999 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.999 * [taylor]: Taking taylor expansion of y in x 1.999 * [backup-simplify]: Simplify y into y 2.000 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.000 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.000 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.000 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.000 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.001 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.001 * [taylor]: Taking taylor expansion of y in x 2.001 * [backup-simplify]: Simplify y into y 2.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.001 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.001 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.002 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [taylor]: Taking taylor expansion of 1 in y 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [taylor]: Taking taylor expansion of 0 in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in y 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.016 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.016 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (* 1 1) into 1 2.017 * [backup-simplify]: Simplify (* 1 1) into 1 2.017 * [backup-simplify]: Simplify (/ 1 1) into 1 2.018 * [backup-simplify]: Simplify (- 1) into -1 2.018 * [backup-simplify]: Simplify -1 into -1 2.018 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.021 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [taylor]: Taking taylor expansion of 0 in y 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [taylor]: Taking taylor expansion of 0 in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 2.032 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 2.032 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 2.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 2.033 * [taylor]: Taking taylor expansion of (pow x 4) in y 2.033 * [taylor]: Taking taylor expansion of x in y 2.033 * [backup-simplify]: Simplify x into x 2.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.033 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.033 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.033 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.034 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.035 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.035 * [backup-simplify]: Simplify y into y 2.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.036 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.036 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 2.037 * [taylor]: Taking taylor expansion of (pow y 4) in x 2.037 * [taylor]: Taking taylor expansion of y in x 2.037 * [backup-simplify]: Simplify y into y 2.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.037 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 2.037 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [taylor]: Taking taylor expansion of 1 in y 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in y 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [taylor]: Taking taylor expansion of 0 in y 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [taylor]: Taking taylor expansion of 0 in y 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 2.048 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 2.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.048 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.048 * [taylor]: Taking taylor expansion of y in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (* 1 1) into 1 2.049 * [backup-simplify]: Simplify (* 1 1) into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (- 1) into -1 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.053 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 2.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [taylor]: Taking taylor expansion of 0 in y 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.060 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [taylor]: Taking taylor expansion of 0 in y 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 2.064 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.064 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 2.064 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 2.064 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.064 * [taylor]: Taking taylor expansion of x in y 2.064 * [backup-simplify]: Simplify x into x 2.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.064 * [taylor]: Taking taylor expansion of y in y 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.064 * [taylor]: Taking taylor expansion of y in x 2.064 * [backup-simplify]: Simplify y into y 2.065 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.065 * [taylor]: Taking taylor expansion of y in x 2.065 * [backup-simplify]: Simplify y into y 2.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.065 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.065 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.065 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.065 * [taylor]: Taking taylor expansion of y in y 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in y 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [taylor]: Taking taylor expansion of 1 in y 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (* 1 1) into 1 2.068 * [backup-simplify]: Simplify (- 1) into -1 2.068 * [backup-simplify]: Simplify -1 into -1 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in y 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [taylor]: Taking taylor expansion of 0 in y 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.074 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.074 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.074 * [taylor]: Taking taylor expansion of x in y 2.074 * [backup-simplify]: Simplify x into x 2.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.076 * [taylor]: Taking taylor expansion of y in x 2.076 * [backup-simplify]: Simplify y into y 2.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.077 * [backup-simplify]: Simplify y into y 2.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.078 * [backup-simplify]: Simplify (+ 1 0) into 1 2.078 * [taylor]: Taking taylor expansion of 1 in y 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in y 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.081 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.081 * [taylor]: Taking taylor expansion of y in y 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [backup-simplify]: Simplify (- 1) into -1 2.082 * [backup-simplify]: Simplify -1 into -1 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [taylor]: Taking taylor expansion of 0 in y 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [taylor]: Taking taylor expansion of 0 in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (- 0) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 2.092 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.092 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.092 * [taylor]: Taking taylor expansion of x in y 2.092 * [backup-simplify]: Simplify x into x 2.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.093 * [taylor]: Taking taylor expansion of y in y 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.094 * [taylor]: Taking taylor expansion of y in x 2.094 * [backup-simplify]: Simplify y into y 2.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.095 * [taylor]: Taking taylor expansion of y in x 2.095 * [backup-simplify]: Simplify y into y 2.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.096 * [backup-simplify]: Simplify (+ 1 0) into 1 2.096 * [taylor]: Taking taylor expansion of 1 in y 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in y 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.099 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [backup-simplify]: Simplify (- 1) into -1 2.100 * [backup-simplify]: Simplify -1 into -1 2.100 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 2.110 * * * [progress]: simplifying candidates 2.113 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 4))) (log (- (* x x) (* y y)))) (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (exp (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (* (* (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (- (- (pow x 4) (pow y 4))) (- (- (* x x) (* y y))) (/ (pow x 4) (- (* x x) (* y y))) (/ (pow y 4) (- (* x x) (* y y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (* x 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x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (cbrt (- (pow x 4) (pow y 4))) (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (pow x 4) (pow y 4))) (- (pow (pow x 4) 3) (pow (pow y 4) 3)) (+ (* (pow x 4) (pow x 4)) (+ (* (pow y 4) (pow y 4)) (* (pow x 4) (pow y 4)))) (- (pow y 4)) (- (* (pow x 4) (pow x 4)) (* (pow y 4) (pow y 4))) (+ (pow x 4) (pow y 4)) (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (- (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (- (pow (sqrt x) 4) (sqrt (pow y 4))) (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (- (pow (sqrt x) 4) (pow y (/ 4 2))) (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (- (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (- (sqrt (pow x 4)) (sqrt (pow y 4))) (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (- (sqrt (pow x 4)) (pow y (/ 4 2))) (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (- (pow x (/ 4 2)) (sqrt (pow y 4))) (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 2.119 * * [simplify]: Extracting # 0 : cost 0 2.120 * * [simplify]: Extracting # 1 : cost 0 2.120 * * [simplify]: Extracting # 2 : cost 0 2.121 * * [simplify]: Extracting # 3 : cost 0 2.121 * * [simplify]: Extracting # 4 : cost 0 2.122 * * [simplify]: Extracting # 5 : cost 0 2.122 * * [simplify]: Extracting # 6 : cost 0 2.122 * * [simplify]: iteration 0 : 221 enodes (cost 3074 ) 2.188 * * [simplify]: Extracting # 0 : cost 0 2.189 * * [simplify]: Extracting # 1 : cost 0 2.190 * * [simplify]: Extracting # 2 : cost 0 2.191 * * [simplify]: Extracting # 3 : cost 0 2.192 * * [simplify]: Extracting # 4 : cost 0 2.193 * * [simplify]: iteration 1 : 522 enodes (cost 2853 ) 2.449 * * [simplify]: Extracting # 0 : cost 0 2.452 * * [simplify]: Extracting # 1 : cost 0 2.455 * * [simplify]: Extracting # 2 : cost 0 2.457 * * [simplify]: Extracting # 3 : cost 0 2.460 * * [simplify]: Extracting # 4 : cost 0 2.462 * * [simplify]: Extracting # 5 : cost 0 2.465 * * [simplify]: iteration 2 : 1590 enodes (cost 2757 ) 3.267 * * [simplify]: Extracting # 0 : cost 0 3.276 * * [simplify]: Extracting # 1 : cost 0 3.283 * * [simplify]: Extracting # 2 : cost 0 3.298 * * [simplify]: Extracting # 3 : cost 0 3.306 * * [simplify]: Extracting # 4 : cost 0 3.315 * * [simplify]: iteration done: 5001 enodes (cost 2437 ) 3.316 * [simplify]: Simplified to: (log (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (* y y))) (pow (+ (pow x 2) (* y y)) 3) (* (cbrt (+ (pow x 2) (* y y))) (cbrt (+ (pow x 2) (* y y)))) (cbrt (+ (pow x 2) (* y y))) (pow (+ (pow x 2) (* y y)) 3) (sqrt (+ (pow x 2) (* y y))) (sqrt (+ (pow x 2) (* y y))) (- (- (pow x 4) (pow y 4))) (- (- (* x x) (* y y))) (/ (pow x 4) (- (* x x) (* y y))) (/ (pow y 4) (- (* x x) (* y y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y)))) (* (cbrt (- (pow x 4) (pow y 4))) 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(pow y 4)) (- (pow y 4)) (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (* (+ x y) (- x y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow x 6) (pow y 6)) (+ (+ (pow x 4) (pow y 4)) (* (* x x) (* y y))) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (* y y)) (+ y x) (- x y) (- (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (* (- x y) (+ y x)) (* (- x y) (+ y x)) (* (- x y) (+ y x)) 3.318 * * * [progress]: adding candidates to table 3.627 * [progress]: [Phase 3 of 3] Extracting. 3.627 * * [regime]: Finding splitpoints for: (# #) 3.627 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 3.627 * * * * [regimes]: Trying to branch on (* y y) from (# #) 3.649 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.669 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 3.684 * * * * [regimes]: Trying to branch on y from (# #) 3.698 * * * * [regimes]: Trying to branch on x from (# #) 3.709 * * * [regime]: Found split indices: #