15.135 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.022 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.024 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.025 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.027 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.074 * [taylor]: Taking taylor expansion of x in z 0.074 * [backup-simplify]: Simplify x into x 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.074 * [taylor]: Taking taylor expansion of y in z 0.074 * [backup-simplify]: Simplify y into y 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.074 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.074 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.074 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.075 * [backup-simplify]: Simplify z into z 0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.075 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.076 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.076 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.076 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.076 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.077 * [taylor]: Taking taylor expansion of z in x 0.077 * [backup-simplify]: Simplify z into z 0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.077 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.077 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.077 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.077 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.077 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.078 * [taylor]: Taking taylor expansion of z in x 0.078 * [backup-simplify]: Simplify z into z 0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.078 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.079 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.079 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.079 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.079 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.080 * [taylor]: Taking taylor expansion of z in y 0.080 * [backup-simplify]: Simplify z into z 0.080 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.080 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.080 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.080 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.081 * [taylor]: Taking taylor expansion of z in z 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.082 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.083 * [taylor]: Taking taylor expansion of 1/2 in y 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.083 * [taylor]: Taking taylor expansion of z in y 0.083 * [backup-simplify]: Simplify z into z 0.083 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.083 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.083 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.083 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.084 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.084 * [taylor]: Taking taylor expansion of 1/2 in z 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of z in z 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.086 * [taylor]: Taking taylor expansion of 1/2 in z 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of z in z 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.088 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.088 * [taylor]: Taking taylor expansion of x in z 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.088 * [taylor]: Taking taylor expansion of z in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.089 * [taylor]: Taking taylor expansion of y in z 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.092 * [taylor]: Taking taylor expansion of z in y 0.092 * [backup-simplify]: Simplify z into z 0.092 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.096 * [taylor]: Taking taylor expansion of z in x 0.096 * [backup-simplify]: Simplify z into z 0.096 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.096 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [backup-simplify]: Simplify (sqrt 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.099 * [taylor]: Taking taylor expansion of z in x 0.099 * [backup-simplify]: Simplify z into z 0.099 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (sqrt 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [taylor]: Taking taylor expansion of 1 in z 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.103 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.104 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.104 * [backup-simplify]: Simplify z into z 0.104 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.108 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.111 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.111 * [taylor]: Taking taylor expansion of 1/2 in z 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.111 * [taylor]: Taking taylor expansion of z in z 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.120 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.120 * [taylor]: Taking taylor expansion of -1/2 in y 0.120 * [backup-simplify]: Simplify -1/2 into -1/2 0.120 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.120 * [taylor]: Taking taylor expansion of 1/4 in y 0.120 * [backup-simplify]: Simplify 1/4 into 1/4 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.120 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.120 * [taylor]: Taking taylor expansion of z in y 0.120 * [backup-simplify]: Simplify z into z 0.120 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.120 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.120 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.120 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.120 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.121 * [taylor]: Taking taylor expansion of z in y 0.121 * [backup-simplify]: Simplify z into z 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.121 * [taylor]: Taking taylor expansion of 1/4 in y 0.121 * [backup-simplify]: Simplify 1/4 into 1/4 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.123 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.130 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.131 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.131 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.132 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in z 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [taylor]: Taking taylor expansion of 0 in z 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in z 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [taylor]: Taking taylor expansion of 0 in z 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [taylor]: Taking taylor expansion of 0 in z 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.137 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.137 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.137 * [taylor]: Taking taylor expansion of x in z 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.137 * [taylor]: Taking taylor expansion of z in z 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.138 * [taylor]: Taking taylor expansion of y in z 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [backup-simplify]: Simplify z into z 0.141 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.144 * [taylor]: Taking taylor expansion of z in x 0.144 * [backup-simplify]: Simplify z into z 0.144 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (sqrt 1) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.147 * [taylor]: Taking taylor expansion of z in x 0.147 * [backup-simplify]: Simplify z into z 0.147 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (sqrt 1) into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [taylor]: Taking taylor expansion of 1 in z 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.151 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.152 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.152 * [taylor]: Taking taylor expansion of 1/2 in y 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.152 * [taylor]: Taking taylor expansion of z in y 0.152 * [backup-simplify]: Simplify z into z 0.152 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.159 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.159 * [taylor]: Taking taylor expansion of 1/2 in z 0.159 * [backup-simplify]: Simplify 1/2 into 1/2 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.165 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.165 * [taylor]: Taking taylor expansion of -1/2 in y 0.165 * [backup-simplify]: Simplify -1/2 into -1/2 0.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.165 * [taylor]: Taking taylor expansion of 1/4 in y 0.165 * [backup-simplify]: Simplify 1/4 into 1/4 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [backup-simplify]: Simplify z into z 0.165 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.165 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.166 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [backup-simplify]: Simplify 1/2 into 1/2 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [backup-simplify]: Simplify z into z 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.166 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [backup-simplify]: Simplify 1/4 into 1/4 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.168 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.175 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.176 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.176 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.177 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.182 * * * [progress]: simplifying candidates 0.182 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) z x (* -1 x) 0.182 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (log1p (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt 1) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) h0 h2 (* -1 h2) 0.185 * * [simplify]: iteration 0 : 96 enodes (cost 156 ) 0.188 * * [simplify]: iteration 1 : 305 enodes (cost 148 ) 0.195 * * [simplify]: iteration 2 : 1103 enodes (cost 148 ) 0.219 * * [simplify]: iteration 3 : 4548 enodes (cost 148 ) 0.296 * * [simplify]: iteration 4 : 5001 enodes (cost 148 ) 0.297 * * * [progress]: adding candidates to table 0.355 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.379 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.380 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.380 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [backup-simplify]: Simplify x into x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.380 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.380 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.380 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [backup-simplify]: Simplify y into y 0.381 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.381 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.381 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [backup-simplify]: Simplify y into y 0.382 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.382 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.382 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.382 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.383 * [backup-simplify]: Simplify (+ 1 0) into 1 0.384 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.384 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.384 * [taylor]: Taking taylor expansion of 1/2 in y 0.384 * [backup-simplify]: Simplify 1/2 into 1/2 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [backup-simplify]: Simplify x into x 0.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (+ 0 1) into 1 0.388 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [backup-simplify]: Simplify y into y 0.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [backup-simplify]: Simplify y into y 0.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.397 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of 1/2 in y 0.397 * [backup-simplify]: Simplify 1/2 into 1/2 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [backup-simplify]: Simplify x into x 0.403 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (+ 0 1) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [backup-simplify]: Simplify y into y 0.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of 1/2 in y 0.413 * [backup-simplify]: Simplify 1/2 into 1/2 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.418 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.418 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow x 2) (pow y 2))) z) 0.418 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.418 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.418 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.418 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.418 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.418 * [taylor]: Taking taylor expansion of x in z 0.418 * [backup-simplify]: Simplify x into x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.418 * [taylor]: Taking taylor expansion of y in z 0.418 * [backup-simplify]: Simplify y into y 0.418 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.419 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.419 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.419 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.419 * [taylor]: Taking taylor expansion of x in z 0.419 * [backup-simplify]: Simplify x into x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.419 * [taylor]: Taking taylor expansion of y in z 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.420 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.420 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.420 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.420 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.420 * [taylor]: Taking taylor expansion of (* z z) in z 0.420 * [taylor]: Taking taylor expansion of z in z 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of z in z 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 0.421 * [backup-simplify]: Simplify (* 0 0) into 0 0.421 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 0.421 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.422 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.422 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.423 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.423 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.423 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.423 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.423 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [backup-simplify]: Simplify x into x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.424 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.424 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.424 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.424 * [taylor]: Taking taylor expansion of (* z z) in y 0.424 * [taylor]: Taking taylor expansion of z in y 0.424 * [backup-simplify]: Simplify z into z 0.424 * [taylor]: Taking taylor expansion of z in y 0.424 * [backup-simplify]: Simplify z into z 0.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.424 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.424 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.425 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.425 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.425 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.425 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.425 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.425 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.426 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.426 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.427 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.427 * [taylor]: Taking taylor expansion of (* z z) in x 0.427 * [taylor]: Taking taylor expansion of z in x 0.427 * [backup-simplify]: Simplify z into z 0.427 * [taylor]: Taking taylor expansion of z in x 0.427 * [backup-simplify]: Simplify z into z 0.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.427 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.427 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.427 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.428 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.428 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.428 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.428 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.428 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.428 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.429 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.429 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.430 * [taylor]: Taking taylor expansion of (* z z) in x 0.430 * [taylor]: Taking taylor expansion of z in x 0.430 * [backup-simplify]: Simplify z into z 0.430 * [taylor]: Taking taylor expansion of z in x 0.430 * [backup-simplify]: Simplify z into z 0.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.430 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.430 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.430 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.430 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.431 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.431 * [taylor]: Taking taylor expansion of z in y 0.431 * [backup-simplify]: Simplify z into z 0.431 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.431 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.431 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.431 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.431 * [taylor]: Taking taylor expansion of z in z 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [taylor]: Taking taylor expansion of 0 in z 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [taylor]: Taking taylor expansion of 0 in z 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.434 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.434 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.435 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.436 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 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 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.436 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.436 * [taylor]: Taking taylor expansion of z in y 0.436 * [backup-simplify]: Simplify z into z 0.436 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.436 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.436 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.436 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.436 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.437 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.437 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.437 * [taylor]: Taking taylor expansion of 1/2 in z 0.437 * [backup-simplify]: Simplify 1/2 into 1/2 0.437 * [taylor]: Taking taylor expansion of z in z 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [taylor]: Taking taylor expansion of 0 in z 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.439 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.439 * [taylor]: Taking taylor expansion of 1/2 in z 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [taylor]: Taking taylor expansion of z in z 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.440 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 z)) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) 0.440 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.440 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.441 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.441 * [taylor]: Taking taylor expansion of x in z 0.441 * [backup-simplify]: Simplify x into x 0.441 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.441 * [taylor]: Taking taylor expansion of y in z 0.441 * [backup-simplify]: Simplify y into y 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.441 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.441 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.442 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.442 * [taylor]: Taking taylor expansion of x in z 0.442 * [backup-simplify]: Simplify x into x 0.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.443 * [taylor]: Taking taylor expansion of y in z 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.443 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.443 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.443 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.443 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.444 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.444 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.444 * [taylor]: Taking taylor expansion of z in z 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.444 * [taylor]: Taking taylor expansion of z in z 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ 0 1) into 1 0.445 * [backup-simplify]: Simplify (sqrt 1) into 1 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.447 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.448 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 0.448 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [backup-simplify]: Simplify x into x 0.448 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.448 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [backup-simplify]: Simplify (+ 0 1) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 0.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.451 * [backup-simplify]: Simplify (+ 0 1) into 1 0.452 * [backup-simplify]: Simplify (sqrt 1) into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.453 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.453 * [taylor]: Taking taylor expansion of z in y 0.453 * [backup-simplify]: Simplify z into z 0.453 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.453 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.453 * [taylor]: Taking taylor expansion of z in y 0.453 * [backup-simplify]: Simplify z into z 0.453 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.455 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [backup-simplify]: Simplify y into y 0.456 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (sqrt 1) into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.458 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.460 * [taylor]: Taking taylor expansion of z in x 0.461 * [backup-simplify]: Simplify z into z 0.461 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.461 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.461 * [taylor]: Taking taylor expansion of z in x 0.461 * [backup-simplify]: Simplify z into z 0.461 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.462 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [backup-simplify]: Simplify y into y 0.463 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [backup-simplify]: Simplify (sqrt 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.468 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.468 * [taylor]: Taking taylor expansion of z in x 0.468 * [backup-simplify]: Simplify z into z 0.468 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.468 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.468 * [taylor]: Taking taylor expansion of z in x 0.468 * [backup-simplify]: Simplify z into z 0.468 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.472 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [taylor]: Taking taylor expansion of 1 in z 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.478 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.478 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 0.478 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.479 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.479 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.479 * [taylor]: Taking taylor expansion of 1/2 in y 0.479 * [backup-simplify]: Simplify 1/2 into 1/2 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.479 * [taylor]: Taking taylor expansion of z in y 0.479 * [backup-simplify]: Simplify z into z 0.479 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in z 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [taylor]: Taking taylor expansion of 0 in z 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [taylor]: Taking taylor expansion of 0 in z 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.489 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.489 * [taylor]: Taking taylor expansion of 1/2 in z 0.489 * [backup-simplify]: Simplify 1/2 into 1/2 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.489 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.489 * [taylor]: Taking taylor expansion of z in z 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [taylor]: Taking taylor expansion of 0 in z 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [taylor]: Taking taylor expansion of 0 in z 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.498 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.499 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.499 * [taylor]: Taking taylor expansion of -1/2 in y 0.499 * [backup-simplify]: Simplify -1/2 into -1/2 0.499 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.499 * [taylor]: Taking taylor expansion of 1/4 in y 0.499 * [backup-simplify]: Simplify 1/4 into 1/4 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.500 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.500 * [taylor]: Taking taylor expansion of z in y 0.500 * [backup-simplify]: Simplify z into z 0.500 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.500 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.500 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.500 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of 1/2 in y 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.500 * [taylor]: Taking taylor expansion of z in y 0.500 * [backup-simplify]: Simplify z into z 0.500 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.500 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.501 * [taylor]: Taking taylor expansion of 1/4 in y 0.501 * [backup-simplify]: Simplify 1/4 into 1/4 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 4) 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 (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.502 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.509 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.511 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.511 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.512 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.512 * [taylor]: Taking taylor expansion of 0 in z 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [taylor]: Taking taylor expansion of 0 in z 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [taylor]: Taking taylor expansion of 0 in z 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [taylor]: Taking taylor expansion of 0 in z 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [taylor]: Taking taylor expansion of 0 in z 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.516 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (- z))) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) 0.516 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.516 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.516 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.516 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 0.516 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.516 * [taylor]: Taking taylor expansion of x in z 0.516 * [backup-simplify]: Simplify x into x 0.516 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.517 * [taylor]: Taking taylor expansion of y in z 0.517 * [backup-simplify]: Simplify y into y 0.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.517 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.517 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.517 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.518 * [taylor]: Taking taylor expansion of x in z 0.518 * [backup-simplify]: Simplify x into x 0.518 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.518 * [taylor]: Taking taylor expansion of y in z 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.519 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.519 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.519 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.519 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.520 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.520 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.520 * [taylor]: Taking taylor expansion of -1 in z 0.520 * [backup-simplify]: Simplify -1 into -1 0.520 * [taylor]: Taking taylor expansion of z in z 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ -1 1) into -1 0.520 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.520 * [taylor]: Taking taylor expansion of -1 in z 0.520 * [backup-simplify]: Simplify -1 into -1 0.520 * [taylor]: Taking taylor expansion of z in z 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ -1 1) into -1 0.521 * [backup-simplify]: Simplify (* -1 -1) into 1 0.521 * [backup-simplify]: Simplify (+ 0 1) into 1 0.521 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.523 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.523 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.523 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 0.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.524 * [backup-simplify]: Simplify x into x 0.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (+ 0 1) into 1 0.525 * [backup-simplify]: Simplify (sqrt 1) into 1 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [backup-simplify]: Simplify x into x 0.526 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.526 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.529 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.529 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.529 * [taylor]: Taking taylor expansion of -1 in y 0.529 * [backup-simplify]: Simplify -1 into -1 0.529 * [taylor]: Taking taylor expansion of z in y 0.529 * [backup-simplify]: Simplify z into z 0.529 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.529 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.529 * [taylor]: Taking taylor expansion of -1 in y 0.529 * [backup-simplify]: Simplify -1 into -1 0.529 * [taylor]: Taking taylor expansion of z in y 0.529 * [backup-simplify]: Simplify z into z 0.529 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (sqrt 1) into 1 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.531 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [backup-simplify]: Simplify y into y 0.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (sqrt 1) into 1 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.535 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.535 * [backup-simplify]: Simplify (+ 1 0) into 1 0.535 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [backup-simplify]: Simplify -1 into -1 0.537 * [taylor]: Taking taylor expansion of z in x 0.537 * [backup-simplify]: Simplify z into z 0.537 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.537 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [backup-simplify]: Simplify -1 into -1 0.537 * [taylor]: Taking taylor expansion of z in x 0.537 * [backup-simplify]: Simplify z into z 0.537 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.537 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.539 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.539 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.539 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.539 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.540 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.540 * [backup-simplify]: Simplify (sqrt 1) into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [backup-simplify]: Simplify y into y 0.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.543 * [backup-simplify]: Simplify (+ 1 0) into 1 0.543 * [backup-simplify]: Simplify (sqrt 1) into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.544 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.544 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.544 * [taylor]: Taking taylor expansion of -1 in x 0.544 * [backup-simplify]: Simplify -1 into -1 0.544 * [taylor]: Taking taylor expansion of z in x 0.544 * [backup-simplify]: Simplify z into z 0.545 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.545 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of z in x 0.545 * [backup-simplify]: Simplify z into z 0.545 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [taylor]: Taking taylor expansion of 1 in z 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.551 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.552 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.552 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 0.552 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.553 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.553 * [taylor]: Taking taylor expansion of 1/2 in y 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.553 * [taylor]: Taking taylor expansion of z in y 0.553 * [backup-simplify]: Simplify z into z 0.553 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.553 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 1) into 1 0.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in z 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [taylor]: Taking taylor expansion of 0 in z 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [taylor]: Taking taylor expansion of 0 in z 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.563 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.563 * [taylor]: Taking taylor expansion of 1/2 in z 0.563 * [backup-simplify]: Simplify 1/2 into 1/2 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.563 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.563 * [taylor]: Taking taylor expansion of z in z 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [taylor]: Taking taylor expansion of 0 in z 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [taylor]: Taking taylor expansion of 0 in z 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.574 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.576 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.576 * [taylor]: Taking taylor expansion of -1/2 in y 0.576 * [backup-simplify]: Simplify -1/2 into -1/2 0.576 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.576 * [taylor]: Taking taylor expansion of 1/4 in y 0.576 * [backup-simplify]: Simplify 1/4 into 1/4 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.576 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.576 * [taylor]: Taking taylor expansion of z in y 0.576 * [backup-simplify]: Simplify z into z 0.576 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.576 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.577 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.577 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of 1/2 in y 0.577 * [backup-simplify]: Simplify 1/2 into 1/2 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.577 * [taylor]: Taking taylor expansion of z in y 0.577 * [backup-simplify]: Simplify z into z 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.577 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.577 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.577 * [taylor]: Taking taylor expansion of 1/4 in y 0.577 * [backup-simplify]: Simplify 1/4 into 1/4 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.579 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.585 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.586 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.587 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.587 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.588 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in z 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [taylor]: Taking taylor expansion of 0 in z 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [taylor]: Taking taylor expansion of 0 in z 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [taylor]: Taking taylor expansion of 0 in z 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [taylor]: Taking taylor expansion of 0 in z 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.592 * * * [progress]: simplifying candidates 0.593 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) z x (* -1 x) 0.593 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) (* h0 h0)))) (log1p (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (expm1 (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (log1p (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h2 h2)) (log (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (exp (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (* (cbrt (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (cbrt (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2))) (cbrt (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (* (* (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2) (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (sqrt (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) (sqrt (hypot (sqrt (+ (* h1 h1) (* h0 h0))) h2)) h0 h1 (* -1 h1) h2 h1 (* -1 h1) 0.596 * * [simplify]: iteration 0 : 114 enodes (cost 180 ) 0.600 * * [simplify]: iteration 1 : 282 enodes (cost 163 ) 0.606 * * [simplify]: iteration 2 : 660 enodes (cost 163 ) 0.618 * * [simplify]: iteration 3 : 1620 enodes (cost 163 ) 0.651 * * [simplify]: iteration 4 : 5001 enodes (cost 163 ) 0.652 * * * [progress]: adding candidates to table 0.738 * * [progress]: iteration 3 / 4 0.739 * * * [progress]: picking best candidate 0.740 * * * * [pick]: Picked # 0.740 * * * [progress]: localizing error 0.745 * * * [progress]: generating rewritten candidates 0.745 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.745 * * * [progress]: generating series expansions 0.745 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.746 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z) 0.746 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 0.746 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.746 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 0.746 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 0.746 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.746 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.746 * [taylor]: Taking taylor expansion of (* x x) in z 0.746 * [taylor]: Taking taylor expansion of x in z 0.746 * [backup-simplify]: Simplify x into x 0.746 * [taylor]: Taking taylor expansion of x in z 0.746 * [backup-simplify]: Simplify x into x 0.746 * [taylor]: Taking taylor expansion of (* y y) in z 0.746 * [taylor]: Taking taylor expansion of y in z 0.746 * [backup-simplify]: Simplify y into y 0.746 * [taylor]: Taking taylor expansion of y in z 0.746 * [backup-simplify]: Simplify y into y 0.746 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.746 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.746 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.746 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.746 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.747 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.747 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.747 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.747 * [taylor]: Taking taylor expansion of (* x x) in z 0.747 * [taylor]: Taking taylor expansion of x in z 0.747 * [backup-simplify]: Simplify x into x 0.747 * [taylor]: Taking taylor expansion of x in z 0.747 * [backup-simplify]: Simplify x into x 0.747 * [taylor]: Taking taylor expansion of (* y y) in z 0.747 * [taylor]: Taking taylor expansion of y in z 0.747 * [backup-simplify]: Simplify y into y 0.747 * [taylor]: Taking taylor expansion of y in z 0.747 * [backup-simplify]: Simplify y into y 0.747 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.748 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.748 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.748 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.748 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.748 * [taylor]: Taking taylor expansion of (* z z) in z 0.748 * [taylor]: Taking taylor expansion of z in z 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of z in z 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 0.749 * [backup-simplify]: Simplify (* 0 0) into 0 0.749 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 0.749 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.750 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.750 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 0.750 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.751 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 0.751 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 0.751 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.751 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.751 * [taylor]: Taking taylor expansion of (* x x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [backup-simplify]: Simplify x into x 0.751 * [taylor]: Taking taylor expansion of (* y y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.751 * [backup-simplify]: Simplify (* 0 0) into 0 0.751 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.751 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.751 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.752 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.752 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.752 * [taylor]: Taking taylor expansion of (* x x) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [backup-simplify]: Simplify x into x 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [backup-simplify]: Simplify x into x 0.753 * [taylor]: Taking taylor expansion of (* y y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.753 * [backup-simplify]: Simplify (* 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.753 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.753 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.754 * [taylor]: Taking taylor expansion of (* z z) in y 0.754 * [taylor]: Taking taylor expansion of z in y 0.754 * [backup-simplify]: Simplify z into z 0.754 * [taylor]: Taking taylor expansion of z in y 0.754 * [backup-simplify]: Simplify z into z 0.754 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.754 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.754 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.754 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.754 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.754 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.755 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.755 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.755 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.755 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.755 * [taylor]: Taking taylor expansion of (* x x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [taylor]: Taking taylor expansion of (* y y) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [backup-simplify]: Simplify y into y 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [backup-simplify]: Simplify y into y 0.756 * [backup-simplify]: Simplify (* 0 0) into 0 0.756 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.756 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.756 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.757 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.757 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.757 * [taylor]: Taking taylor expansion of (* x x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (* y y) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [backup-simplify]: Simplify y into y 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [backup-simplify]: Simplify y into y 0.757 * [backup-simplify]: Simplify (* 0 0) into 0 0.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.757 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.758 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.758 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.758 * [taylor]: Taking taylor expansion of (* z z) in x 0.758 * [taylor]: Taking taylor expansion of z in x 0.758 * [backup-simplify]: Simplify z into z 0.758 * [taylor]: Taking taylor expansion of z in x 0.758 * [backup-simplify]: Simplify z into z 0.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.759 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.759 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.761 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.761 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.761 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.762 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.762 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.762 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.762 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.762 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.762 * [taylor]: Taking taylor expansion of (* x x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [taylor]: Taking taylor expansion of (* y y) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.763 * [backup-simplify]: Simplify y into y 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [backup-simplify]: Simplify y into y 0.763 * [backup-simplify]: Simplify (* 0 0) into 0 0.763 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.763 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.763 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.763 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.763 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.764 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.764 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.764 * [taylor]: Taking taylor expansion of (* x x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [taylor]: Taking taylor expansion of (* y y) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [backup-simplify]: Simplify y into y 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [backup-simplify]: Simplify y into y 0.764 * [backup-simplify]: Simplify (* 0 0) into 0 0.764 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.765 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.765 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.765 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.765 * [taylor]: Taking taylor expansion of (* z z) in x 0.765 * [taylor]: Taking taylor expansion of z in x 0.765 * [backup-simplify]: Simplify z into z 0.765 * [taylor]: Taking taylor expansion of z in x 0.765 * [backup-simplify]: Simplify z into z 0.765 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.766 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.766 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.766 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.766 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.766 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.766 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.767 * [taylor]: Taking taylor expansion of z in y 0.767 * [backup-simplify]: Simplify z into z 0.767 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.767 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.767 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.767 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.767 * [taylor]: Taking taylor expansion of z in z 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [taylor]: Taking taylor expansion of 0 in z 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [taylor]: Taking taylor expansion of 0 in z 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.768 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.769 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.770 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.771 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.771 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.772 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.772 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.772 * [taylor]: Taking taylor expansion of 1/2 in y 0.772 * [backup-simplify]: Simplify 1/2 into 1/2 0.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.772 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.772 * [taylor]: Taking taylor expansion of z in y 0.772 * [backup-simplify]: Simplify z into z 0.772 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.772 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.772 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.772 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.772 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.773 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.773 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.773 * [taylor]: Taking taylor expansion of 1/2 in z 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of z in z 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [taylor]: Taking taylor expansion of 0 in z 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.775 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.775 * [taylor]: Taking taylor expansion of 1/2 in z 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of z in z 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.777 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) 0.777 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 0.777 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 0.777 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.777 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 0.777 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 0.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.777 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.777 * [taylor]: Taking taylor expansion of x in z 0.777 * [backup-simplify]: Simplify x into x 0.777 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.777 * [taylor]: Taking taylor expansion of x in z 0.777 * [backup-simplify]: Simplify x into x 0.777 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.777 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.777 * [taylor]: Taking taylor expansion of y in z 0.777 * [backup-simplify]: Simplify y into y 0.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.777 * [taylor]: Taking taylor expansion of y in z 0.777 * [backup-simplify]: Simplify y into y 0.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.777 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.777 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.777 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.778 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.779 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.779 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.779 * [taylor]: Taking taylor expansion of x in z 0.779 * [backup-simplify]: Simplify x into x 0.779 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.779 * [taylor]: Taking taylor expansion of x in z 0.779 * [backup-simplify]: Simplify x into x 0.779 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.779 * [taylor]: Taking taylor expansion of y in z 0.779 * [backup-simplify]: Simplify y into y 0.779 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.779 * [taylor]: Taking taylor expansion of y in z 0.779 * [backup-simplify]: Simplify y into y 0.779 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.779 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.779 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.779 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.779 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.781 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.781 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.781 * [taylor]: Taking taylor expansion of z in z 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.781 * [taylor]: Taking taylor expansion of z in z 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (+ 0 1) into 1 0.782 * [backup-simplify]: Simplify (sqrt 1) into 1 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.784 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 0.784 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.784 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 0.784 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 0.784 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.784 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.784 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [backup-simplify]: Simplify x into x 0.784 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [backup-simplify]: Simplify x into x 0.784 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.784 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ 0 1) into 1 0.786 * [backup-simplify]: Simplify (sqrt 1) into 1 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.788 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.788 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.788 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [backup-simplify]: Simplify x into x 0.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [backup-simplify]: Simplify x into x 0.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.788 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.789 * [backup-simplify]: Simplify (+ 0 1) into 1 0.789 * [backup-simplify]: Simplify (sqrt 1) into 1 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.791 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.791 * [taylor]: Taking taylor expansion of z in y 0.791 * [backup-simplify]: Simplify z into z 0.791 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.791 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.791 * [taylor]: Taking taylor expansion of z in y 0.791 * [backup-simplify]: Simplify z into z 0.791 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (+ 1 0) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.793 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.793 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.793 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.795 * [backup-simplify]: Simplify (sqrt 1) into 1 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.797 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.797 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (sqrt 1) into 1 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.800 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.800 * [taylor]: Taking taylor expansion of z in x 0.800 * [backup-simplify]: Simplify z into z 0.801 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.801 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.801 * [taylor]: Taking taylor expansion of z in x 0.801 * [backup-simplify]: Simplify z into z 0.801 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.803 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.803 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.803 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [backup-simplify]: Simplify y into y 0.804 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [backup-simplify]: Simplify y into y 0.804 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (+ 1 0) into 1 0.804 * [backup-simplify]: Simplify (sqrt 1) into 1 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.806 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.806 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [backup-simplify]: Simplify y into y 0.807 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [backup-simplify]: Simplify y into y 0.807 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (+ 1 0) into 1 0.808 * [backup-simplify]: Simplify (sqrt 1) into 1 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.810 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.810 * [taylor]: Taking taylor expansion of z in x 0.810 * [backup-simplify]: Simplify z into z 0.810 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.810 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.810 * [taylor]: Taking taylor expansion of z in x 0.810 * [backup-simplify]: Simplify z into z 0.810 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.811 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.812 * [taylor]: Taking taylor expansion of 1 in y 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [taylor]: Taking taylor expansion of 1 in z 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.814 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.814 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.817 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.817 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 0.818 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.819 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.819 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.819 * [taylor]: Taking taylor expansion of 1/2 in y 0.819 * [backup-simplify]: Simplify 1/2 into 1/2 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.819 * [taylor]: Taking taylor expansion of z in y 0.819 * [backup-simplify]: Simplify z into z 0.819 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.819 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (+ 0 1) into 1 0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.821 * [taylor]: Taking taylor expansion of 0 in z 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [taylor]: Taking taylor expansion of 0 in z 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [taylor]: Taking taylor expansion of 0 in z 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.830 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.830 * [taylor]: Taking taylor expansion of 1/2 in z 0.830 * [backup-simplify]: Simplify 1/2 into 1/2 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.830 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.830 * [taylor]: Taking taylor expansion of z in z 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [taylor]: Taking taylor expansion of 0 in z 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [taylor]: Taking taylor expansion of 0 in z 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.839 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.841 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.841 * [taylor]: Taking taylor expansion of -1/2 in y 0.841 * [backup-simplify]: Simplify -1/2 into -1/2 0.841 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.841 * [taylor]: Taking taylor expansion of 1/4 in y 0.841 * [backup-simplify]: Simplify 1/4 into 1/4 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.841 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.841 * [taylor]: Taking taylor expansion of z in y 0.841 * [backup-simplify]: Simplify z into z 0.841 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.841 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.841 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.841 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of 1/2 in y 0.841 * [backup-simplify]: Simplify 1/2 into 1/2 0.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.841 * [taylor]: Taking taylor expansion of z in y 0.841 * [backup-simplify]: Simplify z into z 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.842 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.842 * [taylor]: Taking taylor expansion of 1/4 in y 0.842 * [backup-simplify]: Simplify 1/4 into 1/4 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.843 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.850 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.850 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.852 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.852 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.853 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in z 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in z 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.857 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) 0.857 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 0.857 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 0.857 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.857 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 0.857 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 0.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.858 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.858 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.858 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [backup-simplify]: Simplify -1 into -1 0.858 * [taylor]: Taking taylor expansion of x in z 0.858 * [backup-simplify]: Simplify x into x 0.858 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.858 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [backup-simplify]: Simplify -1 into -1 0.858 * [taylor]: Taking taylor expansion of x in z 0.858 * [backup-simplify]: Simplify x into x 0.858 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.858 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.858 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [backup-simplify]: Simplify -1 into -1 0.858 * [taylor]: Taking taylor expansion of y in z 0.858 * [backup-simplify]: Simplify y into y 0.858 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.858 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [backup-simplify]: Simplify -1 into -1 0.858 * [taylor]: Taking taylor expansion of y in z 0.858 * [backup-simplify]: Simplify y into y 0.858 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.858 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.858 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.858 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.861 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.861 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.863 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.863 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.863 * [taylor]: Taking taylor expansion of -1 in z 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of x in z 0.863 * [backup-simplify]: Simplify x into x 0.863 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.863 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.863 * [taylor]: Taking taylor expansion of -1 in z 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of x in z 0.863 * [backup-simplify]: Simplify x into x 0.863 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.863 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.863 * [taylor]: Taking taylor expansion of -1 in z 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of y in z 0.863 * [backup-simplify]: Simplify y into y 0.863 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.863 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.863 * [taylor]: Taking taylor expansion of -1 in z 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of y in z 0.863 * [backup-simplify]: Simplify y into y 0.863 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.863 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.863 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.863 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.864 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.864 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.865 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.865 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.865 * [taylor]: Taking taylor expansion of -1 in z 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [taylor]: Taking taylor expansion of z in z 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ -1 1) into -1 0.865 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.865 * [taylor]: Taking taylor expansion of -1 in z 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [taylor]: Taking taylor expansion of z in z 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ -1 1) into -1 0.866 * [backup-simplify]: Simplify (* -1 -1) into 1 0.866 * [backup-simplify]: Simplify (+ 0 1) into 1 0.866 * [backup-simplify]: Simplify (sqrt 1) into 1 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.868 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 0.868 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.868 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 0.868 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 0.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.868 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.868 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.868 * [taylor]: Taking taylor expansion of -1 in y 0.868 * [backup-simplify]: Simplify -1 into -1 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [backup-simplify]: Simplify x into x 0.868 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.869 * [taylor]: Taking taylor expansion of -1 in y 0.869 * [backup-simplify]: Simplify -1 into -1 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [backup-simplify]: Simplify x into x 0.869 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.869 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.869 * [taylor]: Taking taylor expansion of -1 in y 0.869 * [backup-simplify]: Simplify -1 into -1 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (/ -1 1) into -1 0.869 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.869 * [taylor]: Taking taylor expansion of -1 in y 0.869 * [backup-simplify]: Simplify -1 into -1 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (/ -1 1) into -1 0.870 * [backup-simplify]: Simplify (* -1 -1) into 1 0.870 * [backup-simplify]: Simplify (+ 0 1) into 1 0.870 * [backup-simplify]: Simplify (sqrt 1) into 1 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.873 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.873 * [taylor]: Taking taylor expansion of -1 in y 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [backup-simplify]: Simplify x into x 0.873 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.873 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.873 * [taylor]: Taking taylor expansion of -1 in y 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [backup-simplify]: Simplify x into x 0.873 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.873 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.873 * [taylor]: Taking taylor expansion of -1 in y 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (/ -1 1) into -1 0.873 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.873 * [taylor]: Taking taylor expansion of -1 in y 0.873 * [backup-simplify]: Simplify -1 into -1 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ -1 1) into -1 0.874 * [backup-simplify]: Simplify (* -1 -1) into 1 0.874 * [backup-simplify]: Simplify (+ 0 1) into 1 0.874 * [backup-simplify]: Simplify (sqrt 1) into 1 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.876 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.876 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.876 * [taylor]: Taking taylor expansion of -1 in y 0.876 * [backup-simplify]: Simplify -1 into -1 0.876 * [taylor]: Taking taylor expansion of z in y 0.877 * [backup-simplify]: Simplify z into z 0.877 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.877 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.877 * [taylor]: Taking taylor expansion of -1 in y 0.877 * [backup-simplify]: Simplify -1 into -1 0.877 * [taylor]: Taking taylor expansion of z in y 0.877 * [backup-simplify]: Simplify z into z 0.877 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.877 * [backup-simplify]: Simplify (+ 1 0) into 1 0.877 * [backup-simplify]: Simplify (sqrt 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.878 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.879 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.879 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [backup-simplify]: Simplify -1 into -1 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ -1 1) into -1 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [backup-simplify]: Simplify -1 into -1 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ -1 1) into -1 0.879 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.880 * [backup-simplify]: Simplify -1 into -1 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [backup-simplify]: Simplify y into y 0.880 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.880 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.880 * [taylor]: Taking taylor expansion of -1 in x 0.880 * [backup-simplify]: Simplify -1 into -1 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [backup-simplify]: Simplify y into y 0.880 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.880 * [backup-simplify]: Simplify (* -1 -1) into 1 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.880 * [backup-simplify]: Simplify (sqrt 1) into 1 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.883 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ -1 1) into -1 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ -1 1) into -1 0.883 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [backup-simplify]: Simplify y into y 0.883 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.883 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [backup-simplify]: Simplify y into y 0.884 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.884 * [backup-simplify]: Simplify (* -1 -1) into 1 0.884 * [backup-simplify]: Simplify (+ 1 0) into 1 0.884 * [backup-simplify]: Simplify (sqrt 1) into 1 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.886 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.886 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.886 * [taylor]: Taking taylor expansion of -1 in x 0.886 * [backup-simplify]: Simplify -1 into -1 0.886 * [taylor]: Taking taylor expansion of z in x 0.886 * [backup-simplify]: Simplify z into z 0.886 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.886 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.886 * [taylor]: Taking taylor expansion of -1 in x 0.886 * [backup-simplify]: Simplify -1 into -1 0.886 * [taylor]: Taking taylor expansion of z in x 0.886 * [backup-simplify]: Simplify z into z 0.886 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.887 * [backup-simplify]: Simplify (* 1 1) into 1 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (sqrt 1) into 1 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.888 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.888 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.888 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.888 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.888 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.889 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [backup-simplify]: Simplify -1 into -1 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ -1 1) into -1 0.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [backup-simplify]: Simplify -1 into -1 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ -1 1) into -1 0.889 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.889 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [backup-simplify]: Simplify -1 into -1 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [backup-simplify]: Simplify y into y 0.889 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.889 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.889 * [taylor]: Taking taylor expansion of -1 in x 0.889 * [backup-simplify]: Simplify -1 into -1 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [backup-simplify]: Simplify y into y 0.889 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.890 * [backup-simplify]: Simplify (* -1 -1) into 1 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (sqrt 1) into 1 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.892 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.892 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.892 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.892 * [taylor]: Taking taylor expansion of -1 in x 0.892 * [backup-simplify]: Simplify -1 into -1 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ -1 1) into -1 0.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ -1 1) into -1 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.893 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [backup-simplify]: Simplify y into y 0.893 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.893 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.893 * [taylor]: Taking taylor expansion of -1 in x 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [backup-simplify]: Simplify y into y 0.893 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.894 * [backup-simplify]: Simplify (* -1 -1) into 1 0.894 * [backup-simplify]: Simplify (+ 1 0) into 1 0.894 * [backup-simplify]: Simplify (sqrt 1) into 1 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.896 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.896 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.896 * [taylor]: Taking taylor expansion of -1 in x 0.896 * [backup-simplify]: Simplify -1 into -1 0.896 * [taylor]: Taking taylor expansion of z in x 0.896 * [backup-simplify]: Simplify z into z 0.896 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.896 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.896 * [taylor]: Taking taylor expansion of -1 in x 0.896 * [backup-simplify]: Simplify -1 into -1 0.896 * [taylor]: Taking taylor expansion of z in x 0.896 * [backup-simplify]: Simplify z into z 0.896 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.897 * [backup-simplify]: Simplify (+ 1 0) into 1 0.897 * [backup-simplify]: Simplify (sqrt 1) into 1 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.898 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [taylor]: Taking taylor expansion of 1 in z 0.898 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.900 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.900 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.903 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.904 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.904 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 0.904 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.905 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.905 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [backup-simplify]: Simplify 1/2 into 1/2 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.905 * [taylor]: Taking taylor expansion of z in y 0.905 * [backup-simplify]: Simplify z into z 0.905 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.906 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 1) into 1 0.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in z 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [taylor]: Taking taylor expansion of 0 in z 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [taylor]: Taking taylor expansion of 0 in z 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.917 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.917 * [taylor]: Taking taylor expansion of 1/2 in z 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.917 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.917 * [taylor]: Taking taylor expansion of z in z 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [taylor]: Taking taylor expansion of 0 in z 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [taylor]: Taking taylor expansion of 0 in z 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.927 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.929 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.929 * [taylor]: Taking taylor expansion of -1/2 in y 0.929 * [backup-simplify]: Simplify -1/2 into -1/2 0.929 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.929 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.929 * [taylor]: Taking taylor expansion of 1/4 in y 0.929 * [backup-simplify]: Simplify 1/4 into 1/4 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.929 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.929 * [taylor]: Taking taylor expansion of z in y 0.929 * [backup-simplify]: Simplify z into z 0.929 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.929 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.929 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.929 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.929 * [taylor]: Taking taylor expansion of 1/2 in y 0.929 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.929 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.929 * [taylor]: Taking taylor expansion of z in y 0.929 * [backup-simplify]: Simplify z into z 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.930 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.930 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.930 * [taylor]: Taking taylor expansion of 1/4 in y 0.930 * [backup-simplify]: Simplify 1/4 into 1/4 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.931 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.938 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.938 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.940 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.940 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.941 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.941 * [taylor]: Taking taylor expansion of 0 in z 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [taylor]: Taking taylor expansion of 0 in z 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.943 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.945 * * * [progress]: simplifying candidates 0.945 * [simplify]: Simplifying: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) 0.945 * [simplify]: Sending expressions to egg_math: (expm1 (hypot (hypot h2 h1) h0)) (log1p (hypot (hypot h2 h1) h0)) (+ (* (hypot h2 h1) (hypot h2 h1)) (* h0 h0)) (log (hypot (hypot h2 h1) h0)) (exp (hypot (hypot h2 h1) h0)) (* (cbrt (hypot (hypot h2 h1) h0)) (cbrt (hypot (hypot h2 h1) h0))) (cbrt (hypot (hypot h2 h1) h0)) (* (* (hypot (hypot h2 h1) h0) (hypot (hypot h2 h1) h0)) (hypot (hypot h2 h1) h0)) (sqrt (hypot (hypot h2 h1) h0)) (sqrt (hypot (hypot h2 h1) h0)) h0 h2 (* -1 h2) 0.948 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 0.950 * * [simplify]: iteration 1 : 27 enodes (cost 36 ) 0.951 * * [simplify]: iteration 2 : 31 enodes (cost 36 ) 0.953 * * [simplify]: iteration 3 : 36 enodes (cost 36 ) 0.955 * * [simplify]: iteration 4 : 55 enodes (cost 36 ) 0.957 * * [simplify]: iteration 5 : 109 enodes (cost 36 ) 0.963 * * [simplify]: iteration 6 : 515 enodes (cost 36 ) 0.980 * * [simplify]: iteration 7 : 1689 enodes (cost 36 ) 1.048 * * [simplify]: iteration 8 : 5001 enodes (cost 36 ) 1.048 * * * [progress]: adding candidates to table 1.081 * [progress]: [Phase 3 of 3] Extracting. 1.083 * [simplify]: Simplifying: (hypot (hypot x y) z) 1.083 * [simplify]: Sending expressions to egg_math: (hypot (hypot h2 h1) h0) 1.084 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 1.084 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 1.618 * [regime-testing]: End program error score: 0.004875609451181397 1.655 * [regime-testing]: Target error score: 25.452954363975827