8.114 * [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]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) (* h1 h1))) 0.020 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.022 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.023 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 0.032 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.032 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.032 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.032 * [taylor]: Taking taylor expansion of (* x x) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [backup-simplify]: Simplify x into x 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [backup-simplify]: Simplify x into x 0.032 * [taylor]: Taking taylor expansion of (* y y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify 1 into 1 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify 1 into 1 0.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.033 * [backup-simplify]: Simplify (* 0 0) into 0 0.033 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.033 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.033 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.034 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.034 * [backup-simplify]: Simplify (+ 0 0) into 0 0.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.034 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.034 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.034 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.034 * [taylor]: Taking taylor expansion of (* x x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of (* y y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [backup-simplify]: Simplify y into y 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [backup-simplify]: Simplify y into y 0.034 * [backup-simplify]: Simplify (* 0 0) into 0 0.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.035 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.035 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.035 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.035 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.035 * [backup-simplify]: Simplify (+ 0 0) into 0 0.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.036 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.036 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.036 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.036 * [taylor]: Taking taylor expansion of (* x x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [taylor]: Taking taylor expansion of (* y y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [backup-simplify]: Simplify y into y 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [backup-simplify]: Simplify y into y 0.036 * [backup-simplify]: Simplify (* 0 0) into 0 0.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.036 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.036 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.037 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.038 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.038 * [backup-simplify]: Simplify (+ 1 0) into 1 0.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.039 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [backup-simplify]: Simplify 1/2 into 1/2 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.042 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 0.042 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [backup-simplify]: Simplify x into x 0.042 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [backup-simplify]: Simplify x into x 0.042 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (/ 1 1) into 1 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (/ 1 1) into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.044 * [backup-simplify]: Simplify (+ 0 1) into 1 0.044 * [backup-simplify]: Simplify (sqrt 1) into 1 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.046 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.046 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 1 0) into 1 0.047 * [backup-simplify]: Simplify (sqrt 1) into 1 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (sqrt 1) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.054 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.055 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of 1/2 in y 0.055 * [backup-simplify]: Simplify 1/2 into 1/2 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.061 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 0.061 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ -1 1) into -1 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ -1 1) into -1 0.062 * [backup-simplify]: Simplify (* -1 -1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.063 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.065 * [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 -1 in x 0.065 * [backup-simplify]: Simplify -1 into -1 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 x) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [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 -1 in x 0.066 * [backup-simplify]: Simplify -1 into -1 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 -1 in x 0.066 * [backup-simplify]: Simplify -1 into -1 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) 0.067 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ -1 1) into -1 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ -1 1) into -1 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.070 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.070 * [backup-simplify]: Simplify (* -1 -1) into 1 0.071 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify (sqrt 1) into 1 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.075 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.075 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.082 * * * [progress]: simplifying candidates 0.082 * [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) 0.082 * [simplify]: Sending expressions to egg_math: (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) h1 h0 (* -1 h0) 0.085 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.087 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.089 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.091 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.093 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.096 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.102 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.120 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.193 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.194 * * * [progress]: adding candidates to table 0.226 * * [progress]: iteration 2 / 4 0.226 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.233 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.247 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.253 * [backup-simplify]: Simplify (* (sqrt (hypot x y)) (sqrt (hypot x y))) into (hypot x y) 0.253 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.253 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.253 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.253 * [taylor]: Taking taylor expansion of (* x x) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [backup-simplify]: Simplify x into x 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [backup-simplify]: Simplify x into x 0.253 * [taylor]: Taking taylor expansion of (* y y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.254 * [backup-simplify]: Simplify (* 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.254 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.254 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.255 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.255 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.255 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.255 * [taylor]: Taking taylor expansion of (* x x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (* y y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [backup-simplify]: Simplify (* 0 0) into 0 0.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.255 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.255 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.256 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.256 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.256 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.256 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.256 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.256 * [taylor]: Taking taylor expansion of (* x x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (* y y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (* 0 0) into 0 0.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.257 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.257 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.257 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.258 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.260 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.260 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.263 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 x) (/ 1 y))) (sqrt (hypot (/ 1 x) (/ 1 y)))) into (hypot (/ 1 x) (/ 1 y)) 0.263 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.263 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.263 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.265 * [backup-simplify]: Simplify (sqrt 1) into 1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.267 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.267 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.267 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (sqrt 1) into 1 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.270 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.280 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.281 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.281 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of 1/2 in y 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.286 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) (sqrt (hypot (/ 1 (- x)) (/ 1 (- y))))) into (hypot (/ -1 x) (/ -1 y)) 0.286 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.286 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.286 * [taylor]: Taking taylor expansion of -1 in y 0.286 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [backup-simplify]: Simplify x into x 0.287 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [backup-simplify]: Simplify x into x 0.287 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.287 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.287 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ -1 1) into -1 0.287 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ -1 1) into -1 0.288 * [backup-simplify]: Simplify (* -1 -1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.290 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.290 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.290 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ -1 1) into -1 0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ -1 1) into -1 0.291 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.291 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.291 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.292 * [backup-simplify]: Simplify (* -1 -1) into 1 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ -1 1) into -1 0.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ -1 1) into -1 0.295 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.295 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.296 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.296 * [backup-simplify]: Simplify (* -1 -1) into 1 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.300 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.300 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.301 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of 1/2 in y 0.301 * [backup-simplify]: Simplify 1/2 into 1/2 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.307 * [backup-simplify]: Simplify (sqrt (hypot x y)) into (sqrt (hypot x y)) 0.307 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y 0.307 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.307 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.307 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.307 * [taylor]: Taking taylor expansion of (* x x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [taylor]: Taking taylor expansion of (* y y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.307 * [backup-simplify]: Simplify (* 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.308 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.308 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.309 * [backup-simplify]: Simplify (sqrt x) into (sqrt x) 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt x))) into 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.309 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.309 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.309 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (* y y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* 0 0) into 0 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.309 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.310 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.310 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.310 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.311 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.311 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.311 * [taylor]: Taking taylor expansion of (* x x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (* y y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* 0 0) into 0 0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.311 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.311 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.312 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.312 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.312 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.312 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (sqrt 0) into 0 0.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.316 * [backup-simplify]: Simplify (/ (- (/ 1/2 y) (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/4 (sqrt (/ 1 (pow y 3)))) 0.316 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 0.316 * [taylor]: Taking taylor expansion of 1/4 in y 0.316 * [backup-simplify]: Simplify 1/4 into 1/4 0.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify (sqrt 0) into 0 0.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.321 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.322 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.322 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.324 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.324 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 x) (/ 1 y))) into (sqrt (hypot (/ 1 x) (/ 1 y))) 0.324 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y 0.324 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.324 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [backup-simplify]: Simplify x into x 0.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [backup-simplify]: Simplify x into x 0.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.325 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (+ 0 1) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [backup-simplify]: Simplify (sqrt 0) into 0 0.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.329 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.329 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.329 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify (sqrt 0) into 0 0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.333 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [backup-simplify]: Simplify (sqrt 0) into 0 0.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [taylor]: Taking taylor expansion of +nan.0 in y 0.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.338 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.340 * [taylor]: Taking taylor expansion of +nan.0 in y 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.342 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.343 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.344 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.344 * [taylor]: Taking taylor expansion of +nan.0 in y 0.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.344 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 1/2 in y 0.344 * [backup-simplify]: Simplify 1/2 into 1/2 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of +nan.0 in y 0.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) 0.351 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.351 * [taylor]: Taking taylor expansion of +nan.0 in y 0.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.351 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of +nan.0 in y 0.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.351 * [taylor]: Taking taylor expansion of +nan.0 in y 0.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.353 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.354 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.356 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.357 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.358 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 2)) (+ (* +nan.0 (* 1 (/ 1 x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.358 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (hypot (/ -1 x) (/ -1 y))) 0.358 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y 0.358 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.358 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.358 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of x in y 0.359 * [backup-simplify]: Simplify x into x 0.359 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [backup-simplify]: Simplify x into x 0.359 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ -1 1) into -1 0.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ -1 1) into -1 0.360 * [backup-simplify]: Simplify (* -1 -1) into 1 0.360 * [backup-simplify]: Simplify (+ 0 1) into 1 0.360 * [backup-simplify]: Simplify (sqrt 1) into 1 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.362 * [backup-simplify]: Simplify (sqrt 0) into 0 0.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.363 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.363 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.363 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.363 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ -1 1) into -1 0.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ -1 1) into -1 0.364 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.365 * [backup-simplify]: Simplify (* -1 -1) into 1 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (sqrt 1) into 1 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.367 * [backup-simplify]: Simplify (sqrt 0) into 0 0.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.368 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.368 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.368 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.368 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [backup-simplify]: Simplify -1 into -1 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ -1 1) into -1 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ -1 1) into -1 0.369 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.369 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.369 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.369 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.369 * [backup-simplify]: Simplify (* -1 -1) into 1 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [backup-simplify]: Simplify (sqrt 0) into 0 0.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [taylor]: Taking taylor expansion of +nan.0 in y 0.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.373 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.381 * [taylor]: Taking taylor expansion of +nan.0 in y 0.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.383 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.385 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) 0.385 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.385 * [taylor]: Taking taylor expansion of +nan.0 in y 0.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.385 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of 1/2 in y 0.385 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of +nan.0 in y 0.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.387 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.388 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) 0.392 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.392 * [taylor]: Taking taylor expansion of +nan.0 in y 0.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.392 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.392 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of +nan.0 in y 0.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.392 * [taylor]: Taking taylor expansion of +nan.0 in y 0.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.394 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.395 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.397 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.398 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.399 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.399 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- x)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.399 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.399 * [backup-simplify]: Simplify (sqrt (hypot x y)) into (sqrt (hypot x y)) 0.399 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y 0.399 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.399 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.400 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.400 * [taylor]: Taking taylor expansion of (* x x) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [backup-simplify]: Simplify x into x 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [backup-simplify]: Simplify x into x 0.400 * [taylor]: Taking taylor expansion of (* y y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.400 * [backup-simplify]: Simplify (* 0 0) into 0 0.400 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.400 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.400 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.401 * [backup-simplify]: Simplify (sqrt x) into (sqrt x) 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt x))) into 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.401 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.401 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.401 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.401 * [taylor]: Taking taylor expansion of (* x x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (* y y) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [backup-simplify]: Simplify y into y 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [backup-simplify]: Simplify y into y 0.402 * [backup-simplify]: Simplify (* 0 0) into 0 0.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.402 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.402 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.402 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.403 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.403 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.403 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.403 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.403 * [taylor]: Taking taylor expansion of (* x x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of (* y y) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [backup-simplify]: Simplify y into y 0.403 * [backup-simplify]: Simplify (* 0 0) into 0 0.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.404 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.404 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.404 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.404 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.405 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (sqrt 0) into 0 0.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.407 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.408 * [backup-simplify]: Simplify (/ (- (/ 1/2 y) (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/4 (sqrt (/ 1 (pow y 3)))) 0.408 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 0.408 * [taylor]: Taking taylor expansion of 1/4 in y 0.408 * [backup-simplify]: Simplify 1/4 into 1/4 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 0) into 0 0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.414 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.414 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.414 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.416 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.417 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.417 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 x) (/ 1 y))) into (sqrt (hypot (/ 1 x) (/ 1 y))) 0.417 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y 0.417 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.417 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.417 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [backup-simplify]: Simplify x into x 0.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [backup-simplify]: Simplify x into x 0.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.417 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.420 * [backup-simplify]: Simplify (sqrt 0) into 0 0.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.421 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.421 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.421 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [backup-simplify]: Simplify y into y 0.422 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [backup-simplify]: Simplify y into y 0.422 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [backup-simplify]: Simplify (sqrt 0) into 0 0.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.426 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.426 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.426 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.426 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (sqrt 1) into 1 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [backup-simplify]: Simplify (sqrt 0) into 0 0.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [taylor]: Taking taylor expansion of +nan.0 in y 0.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.430 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.432 * [taylor]: Taking taylor expansion of +nan.0 in y 0.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.434 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.436 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) 0.436 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.436 * [taylor]: Taking taylor expansion of +nan.0 in y 0.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.436 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.436 * [taylor]: Taking taylor expansion of 1/2 in y 0.436 * [backup-simplify]: Simplify 1/2 into 1/2 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of +nan.0 in y 0.437 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.438 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) 0.442 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.442 * [taylor]: Taking taylor expansion of +nan.0 in y 0.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.442 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.442 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of +nan.0 in y 0.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.443 * [taylor]: Taking taylor expansion of +nan.0 in y 0.443 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.445 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.446 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.448 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.449 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.449 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.450 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 2)) (+ (* +nan.0 (* 1 (/ 1 x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.450 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (hypot (/ -1 x) (/ -1 y))) 0.450 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y 0.450 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.450 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 0.450 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 0.450 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.450 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.450 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 0.451 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 0.451 * [backup-simplify]: Simplify (* -1 -1) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.452 * [backup-simplify]: Simplify (sqrt 1) into 1 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.454 * [backup-simplify]: Simplify (sqrt 0) into 0 0.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.455 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ -1 1) into -1 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.456 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [backup-simplify]: Simplify y into y 0.456 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.456 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [backup-simplify]: Simplify y into y 0.456 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.456 * [backup-simplify]: Simplify (* -1 -1) into 1 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (sqrt 1) into 1 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.459 * [backup-simplify]: Simplify (sqrt 0) into 0 0.460 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.460 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.460 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.460 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ -1 1) into -1 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ -1 1) into -1 0.461 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.461 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.461 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [backup-simplify]: Simplify y into y 0.461 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.461 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.461 * [taylor]: Taking taylor expansion of -1 in x 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [backup-simplify]: Simplify y into y 0.461 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.461 * [backup-simplify]: Simplify (* -1 -1) into 1 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.464 * [backup-simplify]: Simplify (sqrt 0) into 0 0.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [taylor]: Taking taylor expansion of +nan.0 in y 0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.466 * [taylor]: Taking taylor expansion of +nan.0 in y 0.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.468 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.470 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) 0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.470 * [taylor]: Taking taylor expansion of +nan.0 in y 0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.470 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.471 * [taylor]: Taking taylor expansion of 1/2 in y 0.471 * [backup-simplify]: Simplify 1/2 into 1/2 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of +nan.0 in y 0.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.473 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.473 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) 0.482 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.482 * [taylor]: Taking taylor expansion of +nan.0 in y 0.482 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.482 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.483 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of +nan.0 in y 0.483 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.483 * [taylor]: Taking taylor expansion of +nan.0 in y 0.483 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.485 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.485 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.488 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.489 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 0.489 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.490 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- x)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.490 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.490 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 0.490 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.490 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.490 * [taylor]: Taking taylor expansion of (* x x) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [backup-simplify]: Simplify x into x 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [backup-simplify]: Simplify x into x 0.490 * [taylor]: Taking taylor expansion of (* y y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.491 * [backup-simplify]: Simplify (* 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.491 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.491 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.492 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.492 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.492 * [taylor]: Taking taylor expansion of (* x x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of (* y y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [backup-simplify]: Simplify y into y 0.492 * [backup-simplify]: Simplify (* 0 0) into 0 0.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.492 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.492 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.493 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.493 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.493 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.493 * [taylor]: Taking taylor expansion of (* x x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of (* y y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [backup-simplify]: Simplify y into y 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [backup-simplify]: Simplify y into y 0.494 * [backup-simplify]: Simplify (* 0 0) into 0 0.494 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.494 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.494 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.494 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.495 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.497 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.497 * [taylor]: Taking taylor expansion of 1/2 in y 0.497 * [backup-simplify]: Simplify 1/2 into 1/2 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.500 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 0.500 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.500 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [backup-simplify]: Simplify x into x 0.500 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [backup-simplify]: Simplify x into x 0.500 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.503 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.507 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [backup-simplify]: Simplify y into y 0.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [backup-simplify]: Simplify y into y 0.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.513 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.513 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of 1/2 in y 0.513 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.518 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 0.518 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.519 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.519 * [taylor]: Taking taylor expansion of -1 in y 0.519 * [backup-simplify]: Simplify -1 into -1 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [backup-simplify]: Simplify x into x 0.519 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.519 * [taylor]: Taking taylor expansion of -1 in y 0.519 * [backup-simplify]: Simplify -1 into -1 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [backup-simplify]: Simplify x into x 0.519 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.519 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.519 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.519 * [taylor]: Taking taylor expansion of -1 in y 0.519 * [backup-simplify]: Simplify -1 into -1 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ -1 1) into -1 0.519 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.519 * [taylor]: Taking taylor expansion of -1 in y 0.519 * [backup-simplify]: Simplify -1 into -1 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ -1 1) into -1 0.520 * [backup-simplify]: Simplify (* -1 -1) into 1 0.520 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.522 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.522 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.522 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [backup-simplify]: Simplify -1 into -1 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ -1 1) into -1 0.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [backup-simplify]: Simplify -1 into -1 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ -1 1) into -1 0.523 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.523 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [backup-simplify]: Simplify -1 into -1 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.523 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.523 * [taylor]: Taking taylor expansion of -1 in x 0.523 * [backup-simplify]: Simplify -1 into -1 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.524 * [backup-simplify]: Simplify (* -1 -1) into 1 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (sqrt 1) into 1 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.526 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [backup-simplify]: Simplify -1 into -1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.527 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.527 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.527 * [backup-simplify]: Simplify (* -1 -1) into 1 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.530 * [taylor]: Taking taylor expansion of 1 in y 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.532 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.532 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.533 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.533 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of 1/2 in y 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.538 * * * [progress]: simplifying candidates 0.539 * [simplify]: Simplifying: (expm1 (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (log1p (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (sqrt (hypot x y))) (log (sqrt (hypot x y)))) (log (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (exp (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))) (* (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (hypot x y) (hypot x y)) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 1 1) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot x y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) 1) (* (cbrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (expm1 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt 1) (sqrt (hypot x y)) (/ 1 2) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (expm1 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt 1) (sqrt (hypot x y)) (/ 1 2) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (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) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) y x (* -1 x) 0.540 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (sqrt (hypot h0 h1))) (log1p (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1))) (exp (sqrt (hypot h0 h1))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (cbrt (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (cbrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt 1) (sqrt (hypot h0 h1)) (/ 1 2) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (expm1 (sqrt (hypot h0 h1))) (log1p (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1))) (exp (sqrt (hypot h0 h1))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (cbrt (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (cbrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (sqrt 1) (sqrt (hypot h0 h1)) (/ 1 2) (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) h1 h0 (* -1 h0) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) h1 h0 (* -1 h0) 0.544 * * [simplify]: iteration 0 : 164 enodes (cost 346 ) 0.550 * * [simplify]: iteration 1 : 607 enodes (cost 298 ) 0.570 * * [simplify]: iteration 2 : 3753 enodes (cost 280 ) 0.702 * * [simplify]: iteration 3 : 5001 enodes (cost 280 ) 0.705 * * * [progress]: adding candidates to table 0.907 * [progress]: [Phase 3 of 3] Extracting. 0.907 * * [regime]: Finding splitpoints for: (# #) 0.907 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.907 * * * * [regimes]: Trying to branch on y from (# #) 0.918 * * * * [regimes]: Trying to branch on x from (# #) 0.932 * * * [regime]: Found split indices: #