600.019 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.017 * * [simplify]: Extracting # 0 : cost 0 0.017 * * [simplify]: Extracting # 1 : cost 0 0.017 * * [simplify]: Extracting # 2 : cost 0 0.017 * * [simplify]: Extracting # 3 : cost 0 0.017 * * [simplify]: Extracting # 4 : cost 0 0.017 * * [simplify]: Extracting # 5 : cost 0 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (hypot x y) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 0.041 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.041 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.041 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.041 * [taylor]: Taking taylor expansion of (* x x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of (* y y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.042 * [backup-simplify]: Simplify (* 0 0) into 0 0.042 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.042 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.042 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.044 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.044 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.044 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.044 * [taylor]: Taking taylor expansion of (* x x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of (* y y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [backup-simplify]: Simplify y into y 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (* 0 0) into 0 0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.045 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.046 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.046 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.047 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.047 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.047 * [taylor]: Taking taylor expansion of (* x x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (* y y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (* 0 0) into 0 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.048 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.048 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.048 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [backup-simplify]: Simplify 1/2 into 1/2 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.058 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 0.058 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 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 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 x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 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 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 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 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.065 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.071 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of 1/2 in y 0.081 * [backup-simplify]: Simplify 1/2 into 1/2 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.090 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 0.090 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.091 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.091 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.091 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ -1 1) into -1 0.092 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.092 * [taylor]: Taking taylor expansion of -1 in y 0.092 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ -1 1) into -1 0.093 * [backup-simplify]: Simplify (* -1 -1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.094 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.097 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.097 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.098 * [taylor]: Taking taylor expansion of -1 in x 0.098 * [backup-simplify]: Simplify -1 into -1 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ -1 1) into -1 0.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.098 * [taylor]: Taking taylor expansion of -1 in x 0.098 * [backup-simplify]: Simplify -1 into -1 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ -1 1) into -1 0.099 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [backup-simplify]: Simplify -1 into -1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [backup-simplify]: Simplify -1 into -1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.139 * [backup-simplify]: Simplify (* -1 -1) into 1 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (sqrt 1) into 1 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.143 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.143 * [backup-simplify]: Simplify (* -1 -1) into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.148 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of 1/2 in y 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.155 * * * [progress]: simplifying candidates 0.156 * [simplify]: Simplifying: (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.156 * * [simplify]: Extracting # 0 : cost 0 0.156 * * [simplify]: Extracting # 1 : cost 0 0.156 * * [simplify]: Extracting # 2 : cost 0 0.156 * * [simplify]: Extracting # 3 : cost 0 0.156 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.159 * * [simplify]: Extracting # 1 : cost 0 0.159 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.162 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.166 * * [simplify]: Extracting # 0 : cost 0 0.166 * * [simplify]: Extracting # 1 : cost 0 0.166 * * [simplify]: Extracting # 2 : cost 0 0.166 * * [simplify]: Extracting # 3 : cost 0 0.166 * * [simplify]: Extracting # 4 : cost 0 0.166 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: Extracting # 4 : cost 0 0.176 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.185 * * [simplify]: Extracting # 0 : cost 0 0.185 * * [simplify]: Extracting # 1 : cost 0 0.185 * * [simplify]: Extracting # 2 : cost 0 0.185 * * [simplify]: Extracting # 3 : cost 0 0.185 * * [simplify]: Extracting # 4 : cost 0 0.185 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.193 * * [simplify]: Extracting # 3 : cost 0 0.193 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 0.208 * * [simplify]: Extracting # 0 : cost 0 0.209 * * [simplify]: Extracting # 1 : cost 0 0.209 * * [simplify]: Extracting # 2 : cost 0 0.209 * * [simplify]: Extracting # 3 : cost 0 0.209 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 0.296 * * [simplify]: Extracting # 0 : cost 0 0.297 * * [simplify]: Extracting # 1 : cost 0 0.298 * * [simplify]: Extracting # 2 : cost 0 0.298 * * [simplify]: Extracting # 3 : cost 0 0.299 * * [simplify]: Extracting # 4 : cost 0 0.299 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 1.252 * * [simplify]: Extracting # 0 : cost 0 1.254 * * [simplify]: Extracting # 1 : cost 0 1.256 * * [simplify]: Extracting # 2 : cost 0 1.257 * * [simplify]: Extracting # 3 : cost 0 1.259 * * [simplify]: Extracting # 4 : cost 0 1.261 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 2.345 * * [simplify]: Extracting # 0 : cost 0 2.353 * * [simplify]: Extracting # 1 : cost 0 2.359 * * [simplify]: Extracting # 2 : cost 0 2.364 * * [simplify]: Extracting # 3 : cost 0 2.369 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 2.369 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (- x) 2.369 * * * [progress]: adding candidates to table 2.404 * * [progress]: iteration 2 / 4 2.404 * * * [progress]: picking best candidate 2.407 * * * * [pick]: Picked # 2.407 * * * [progress]: localizing error 2.425 * * * [progress]: generating rewritten candidates 2.425 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.441 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.460 * * * [progress]: generating series expansions 2.460 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.460 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.460 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.460 * [taylor]: Taking taylor expansion of x in y 2.460 * [backup-simplify]: Simplify x into x 2.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.461 * [taylor]: Taking taylor expansion of y in y 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.461 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.461 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.461 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.462 * [taylor]: Taking taylor expansion of x in x 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.462 * [taylor]: Taking taylor expansion of y in x 2.462 * [backup-simplify]: Simplify y into y 2.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.462 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.463 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.463 * [taylor]: Taking taylor expansion of y in x 2.464 * [backup-simplify]: Simplify y into y 2.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.464 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.464 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.465 * [taylor]: Taking taylor expansion of y in y 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [taylor]: Taking taylor expansion of 0 in y 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.466 * [backup-simplify]: Simplify (+ 1 0) into 1 2.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.467 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.467 * [taylor]: Taking taylor expansion of 1/2 in y 2.467 * [backup-simplify]: Simplify 1/2 into 1/2 2.467 * [taylor]: Taking taylor expansion of y in y 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.471 * [taylor]: Taking taylor expansion of 0 in y 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.472 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.472 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.472 * [taylor]: Taking taylor expansion of x in y 2.472 * [backup-simplify]: Simplify x into x 2.472 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.473 * [taylor]: Taking taylor expansion of y in y 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (* 1 1) into 1 2.474 * [backup-simplify]: Simplify (/ 1 1) into 1 2.474 * [backup-simplify]: Simplify (+ 0 1) into 1 2.474 * [backup-simplify]: Simplify (sqrt 1) into 1 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.478 * [backup-simplify]: Simplify (/ 1 1) into 1 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.478 * [taylor]: Taking taylor expansion of y in x 2.478 * [backup-simplify]: Simplify y into y 2.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.479 * [backup-simplify]: Simplify (+ 1 0) into 1 2.479 * [backup-simplify]: Simplify (sqrt 1) into 1 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (/ 1 1) into 1 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.483 * [taylor]: Taking taylor expansion of y in x 2.483 * [backup-simplify]: Simplify y into y 2.483 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.483 * [backup-simplify]: Simplify (+ 1 0) into 1 2.484 * [backup-simplify]: Simplify (sqrt 1) into 1 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.486 * [taylor]: Taking taylor expansion of 1 in y 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [taylor]: Taking taylor expansion of 0 in y 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.490 * [taylor]: Taking taylor expansion of 1/2 in y 2.490 * [backup-simplify]: Simplify 1/2 into 1/2 2.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.490 * [taylor]: Taking taylor expansion of y in y 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.493 * [taylor]: Taking taylor expansion of 0 in y 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.495 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.495 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.495 * [taylor]: Taking taylor expansion of x in y 2.495 * [backup-simplify]: Simplify x into x 2.495 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.495 * [taylor]: Taking taylor expansion of y in y 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.496 * [backup-simplify]: Simplify (/ 1 1) into 1 2.496 * [backup-simplify]: Simplify (+ 0 1) into 1 2.496 * [backup-simplify]: Simplify (sqrt 1) into 1 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.498 * [taylor]: Taking taylor expansion of x in x 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (* 1 1) into 1 2.498 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.498 * [taylor]: Taking taylor expansion of y in x 2.498 * [backup-simplify]: Simplify y into y 2.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.499 * [backup-simplify]: Simplify (+ 1 0) into 1 2.499 * [backup-simplify]: Simplify (sqrt 1) into 1 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ 0 0) into 0 2.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.501 * [taylor]: Taking taylor expansion of y in x 2.501 * [backup-simplify]: Simplify y into y 2.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.501 * [backup-simplify]: Simplify (+ 1 0) into 1 2.502 * [backup-simplify]: Simplify (sqrt 1) into 1 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.503 * [taylor]: Taking taylor expansion of 1 in y 2.503 * [backup-simplify]: Simplify 1 into 1 2.503 * [taylor]: Taking taylor expansion of 0 in y 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.505 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.505 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.505 * [taylor]: Taking taylor expansion of 1/2 in y 2.505 * [backup-simplify]: Simplify 1/2 into 1/2 2.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.505 * [taylor]: Taking taylor expansion of y in y 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (* 1 1) into 1 2.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.509 * [taylor]: Taking taylor expansion of 0 in y 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.510 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.510 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 2.510 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.510 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.510 * [taylor]: Taking taylor expansion of x in y 2.510 * [backup-simplify]: Simplify x into x 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.510 * [taylor]: Taking taylor expansion of y in x 2.511 * [backup-simplify]: Simplify y into y 2.511 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.511 * [taylor]: Taking taylor expansion of y in x 2.511 * [backup-simplify]: Simplify y into y 2.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.511 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.511 * [taylor]: Taking taylor expansion of y in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [taylor]: Taking taylor expansion of 0 in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (* 1 1) into 1 2.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.512 * [backup-simplify]: Simplify (+ 1 0) into 1 2.512 * [taylor]: Taking taylor expansion of 1 in y 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (* 1 1) into 1 2.512 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.514 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [taylor]: Taking taylor expansion of 0 in y 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [taylor]: Taking taylor expansion of 0 in y 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.516 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.516 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.516 * [taylor]: Taking taylor expansion of x in y 2.516 * [backup-simplify]: Simplify x into x 2.516 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.517 * [taylor]: Taking taylor expansion of y in y 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (* 1 1) into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (* 1 1) into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.518 * [taylor]: Taking taylor expansion of y in x 2.518 * [backup-simplify]: Simplify y into y 2.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.519 * [taylor]: Taking taylor expansion of y in x 2.519 * [backup-simplify]: Simplify y into y 2.519 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.519 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.520 * [backup-simplify]: Simplify (+ 1 0) into 1 2.520 * [taylor]: Taking taylor expansion of 1 in y 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [taylor]: Taking taylor expansion of 0 in y 2.521 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.524 * [taylor]: Taking taylor expansion of y in y 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (/ 1 1) into 1 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [taylor]: Taking taylor expansion of 0 in y 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in y 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.531 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.531 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.531 * [taylor]: Taking taylor expansion of x in y 2.531 * [backup-simplify]: Simplify x into x 2.531 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.531 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.531 * [taylor]: Taking taylor expansion of y in y 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.532 * [backup-simplify]: Simplify (/ 1 1) into 1 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.532 * [taylor]: Taking taylor expansion of x in x 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (* 1 1) into 1 2.532 * [backup-simplify]: Simplify (/ 1 1) into 1 2.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.532 * [taylor]: Taking taylor expansion of y in x 2.532 * [backup-simplify]: Simplify y into y 2.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.537 * [backup-simplify]: Simplify (/ 1 1) into 1 2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.537 * [taylor]: Taking taylor expansion of y in x 2.537 * [backup-simplify]: Simplify y into y 2.537 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.538 * [backup-simplify]: Simplify (+ 1 0) into 1 2.538 * [taylor]: Taking taylor expansion of 1 in y 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in y 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.540 * [taylor]: Taking taylor expansion of y in y 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (* 1 1) into 1 2.540 * [backup-simplify]: Simplify (/ 1 1) into 1 2.540 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.542 * [taylor]: Taking taylor expansion of 0 in y 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.545 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [taylor]: Taking taylor expansion of 0 in y 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.546 * * * [progress]: simplifying candidates 2.547 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (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)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.548 * * [simplify]: Extracting # 0 : cost 0 2.548 * * [simplify]: Extracting # 1 : cost 0 2.548 * * [simplify]: Extracting # 2 : cost 0 2.548 * * [simplify]: Extracting # 3 : cost 0 2.548 * * [simplify]: Extracting # 4 : cost 0 2.548 * * [simplify]: Extracting # 5 : cost 0 2.548 * * [simplify]: iteration 0 : 52 enodes (cost 413 ) 2.559 * * [simplify]: Extracting # 0 : cost 0 2.559 * * [simplify]: Extracting # 1 : cost 0 2.559 * * [simplify]: Extracting # 2 : cost 0 2.560 * * [simplify]: Extracting # 3 : cost 0 2.560 * * [simplify]: Extracting # 4 : cost 0 2.560 * * [simplify]: iteration 1 : 134 enodes (cost 285 ) 2.628 * * [simplify]: Extracting # 0 : cost 0 2.628 * * [simplify]: Extracting # 1 : cost 0 2.629 * * [simplify]: Extracting # 2 : cost 0 2.629 * * [simplify]: Extracting # 3 : cost 0 2.629 * * [simplify]: Extracting # 4 : cost 0 2.630 * * [simplify]: iteration 2 : 396 enodes (cost 237 ) 2.833 * * [simplify]: Extracting # 0 : cost 0 2.835 * * [simplify]: Extracting # 1 : cost 0 2.837 * * [simplify]: Extracting # 2 : cost 0 2.839 * * [simplify]: Extracting # 3 : cost 0 2.840 * * [simplify]: Extracting # 4 : cost 0 2.842 * * [simplify]: iteration 3 : 1156 enodes (cost 233 ) 4.151 * * [simplify]: Extracting # 0 : cost 0 4.155 * * [simplify]: Extracting # 1 : cost 0 4.158 * * [simplify]: Extracting # 2 : cost 0 4.163 * * [simplify]: Extracting # 3 : cost 0 4.177 * * [simplify]: Extracting # 4 : cost 0 4.182 * * [simplify]: iteration 4 : 3429 enodes (cost 233 ) 5.306 * * [simplify]: Extracting # 0 : cost 0 5.311 * * [simplify]: Extracting # 1 : cost 0 5.316 * * [simplify]: Extracting # 2 : cost 0 5.321 * * [simplify]: Extracting # 3 : cost 0 5.328 * * [simplify]: iteration done: 5000 enodes (cost 233 ) 5.328 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (fma x x (* y y)))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (fma (* y y) (- (* y y) (* x x)) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (* 2 (log (hypot x 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 (hypot x y) 6) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 5.328 * * * [progress]: adding candidates to table 5.409 * [progress]: [Phase 3 of 3] Extracting. 5.409 * * [regime]: Finding splitpoints for: (# #) 5.409 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 5.409 * * * * [regimes]: Trying to branch on (* y y) from (# #) 5.421 * * * * [regimes]: Trying to branch on (* x x) from (# #) 5.438 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 5.458 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 5.482 * * * * [regimes]: Trying to branch on y from (# #) 5.500 * * * * [regimes]: Trying to branch on x from (# #) 5.518 * * * [regime]: Found split indices: #