16.448 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.022 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.032 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.035 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.081 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.081 * [taylor]: Taking taylor expansion of x in z 0.081 * [backup-simplify]: Simplify x into x 0.081 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.081 * [taylor]: Taking taylor expansion of y in z 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in z 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 (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.081 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.081 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.081 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.081 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.082 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 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 (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.083 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 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 (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.084 * [taylor]: Taking taylor expansion of z in x 0.085 * [backup-simplify]: Simplify z into z 0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.085 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.085 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.085 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.085 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.085 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.086 * [taylor]: Taking taylor expansion of z in x 0.086 * [backup-simplify]: Simplify z into z 0.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.086 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.086 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.087 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.087 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.087 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.088 * [backup-simplify]: Simplify z into z 0.088 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.088 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.088 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of z in z 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.090 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [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))))) 0.091 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.091 * [taylor]: Taking taylor expansion of 1/2 in y 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [backup-simplify]: Simplify z into z 0.092 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.092 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.092 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.092 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.093 * [taylor]: Taking taylor expansion of 1/2 in z 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [taylor]: Taking taylor expansion of z in z 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.095 * [taylor]: Taking taylor expansion of 1/2 in z 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [taylor]: Taking taylor expansion of z in z 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.097 * [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))))) 0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.097 * [taylor]: Taking taylor expansion of x in z 0.097 * [backup-simplify]: Simplify x into x 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.097 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.097 * [taylor]: Taking taylor expansion of z in z 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.098 * [taylor]: Taking taylor expansion of y in z 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.105 * [taylor]: Taking taylor expansion of z in y 0.105 * [backup-simplify]: Simplify z into z 0.105 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.109 * [taylor]: Taking taylor expansion of z in x 0.109 * [backup-simplify]: Simplify z into z 0.109 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.112 * [taylor]: Taking taylor expansion of z in x 0.112 * [backup-simplify]: Simplify z into z 0.112 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (sqrt 1) into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [taylor]: Taking taylor expansion of 1 in z 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.117 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.118 * [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)))) 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.118 * [taylor]: Taking taylor expansion of z in y 0.118 * [backup-simplify]: Simplify z into z 0.118 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.126 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.126 * [taylor]: Taking taylor expansion of 1/2 in z 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.126 * [taylor]: Taking taylor expansion of z in z 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [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)))))) 0.132 * [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 0.132 * [taylor]: Taking taylor expansion of -1/2 in y 0.132 * [backup-simplify]: Simplify -1/2 into -1/2 0.132 * [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 0.132 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.132 * [taylor]: Taking taylor expansion of 1/4 in y 0.132 * [backup-simplify]: Simplify 1/4 into 1/4 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.132 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.132 * [backup-simplify]: Simplify z into z 0.132 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.133 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.133 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.133 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of 1/2 in y 0.133 * [backup-simplify]: Simplify 1/2 into 1/2 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.133 * [taylor]: Taking taylor expansion of z in y 0.133 * [backup-simplify]: Simplify z into z 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.134 * [taylor]: Taking taylor expansion of 1/4 in y 0.134 * [backup-simplify]: Simplify 1/4 into 1/4 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.135 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.143 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.144 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.145 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.145 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.150 * [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))))) 0.150 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.151 * [taylor]: Taking taylor expansion of x in z 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.152 * [taylor]: Taking taylor expansion of y in z 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.155 * [taylor]: Taking taylor expansion of z in y 0.155 * [backup-simplify]: Simplify z into z 0.155 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (sqrt 1) into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [backup-simplify]: Simplify z into z 0.159 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.162 * [taylor]: Taking taylor expansion of z in x 0.162 * [backup-simplify]: Simplify z into z 0.162 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (sqrt 1) into 1 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [taylor]: Taking taylor expansion of 1 in z 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.166 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.167 * [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)))) 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of 1/2 in y 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.168 * [backup-simplify]: Simplify z into z 0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.175 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.175 * [taylor]: Taking taylor expansion of 1/2 in z 0.175 * [backup-simplify]: Simplify 1/2 into 1/2 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 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 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.180 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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)))))) 0.182 * [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 0.182 * [taylor]: Taking taylor expansion of -1/2 in y 0.182 * [backup-simplify]: Simplify -1/2 into -1/2 0.182 * [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 0.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.182 * [taylor]: Taking taylor expansion of 1/4 in y 0.182 * [backup-simplify]: Simplify 1/4 into 1/4 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.182 * [backup-simplify]: Simplify z into z 0.182 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.182 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.182 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of 1/2 in y 0.182 * [backup-simplify]: Simplify 1/2 into 1/2 0.182 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.182 * [backup-simplify]: Simplify z into z 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.183 * [taylor]: Taking taylor expansion of 1/4 in y 0.183 * [backup-simplify]: Simplify 1/4 into 1/4 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.185 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.192 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.194 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.194 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.195 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.200 * * * [progress]: simplifying candidates 0.200 * [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) 0.200 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log1p (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt 1) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3))) (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2)))) (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (/ 1 2) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) h2 h0 (* -1 h0) 0.204 * * [simplify]: iteration 0 : 96 enodes (cost 156 ) 0.208 * * [simplify]: iteration 1 : 305 enodes (cost 148 ) 0.216 * * [simplify]: iteration 2 : 1103 enodes (cost 148 ) 0.243 * * [simplify]: iteration 3 : 4548 enodes (cost 148 ) 0.322 * * [simplify]: iteration 4 : 5001 enodes (cost 148 ) 0.324 * * * [progress]: adding candidates to table 0.391 * * [progress]: iteration 2 / 4 0.391 * * * [progress]: picking best candidate 0.396 * * * * [pick]: Picked # 0.396 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.404 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.412 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.413 * * * [progress]: generating series expansions 0.413 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.413 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.413 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 0.413 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.413 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.413 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [backup-simplify]: Simplify y into y 0.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.414 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.414 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.415 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.415 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.418 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.418 * [taylor]: Taking taylor expansion of 1/2 in y 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.421 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [backup-simplify]: Simplify x into x 0.421 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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) 0.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.426 * [backup-simplify]: Simplify (sqrt 1) into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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 (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [backup-simplify]: Simplify (sqrt 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 1/2 in y 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.438 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [backup-simplify]: Simplify x into x 0.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (+ 0 1) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [backup-simplify]: Simplify y into y 0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [backup-simplify]: Simplify y into y 0.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 1 in y 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 1/2 in y 0.450 * [backup-simplify]: Simplify 1/2 into 1/2 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.455 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.455 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow x 2) (pow y 2))) z) 0.455 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.455 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.455 * [taylor]: Taking taylor expansion of x in z 0.455 * [backup-simplify]: Simplify x into x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.455 * [taylor]: Taking taylor expansion of y in z 0.455 * [backup-simplify]: Simplify y into y 0.455 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.455 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.456 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.456 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.456 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.456 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.457 * [taylor]: Taking taylor expansion of x in z 0.457 * [backup-simplify]: Simplify x into x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.457 * [taylor]: Taking taylor expansion of y in z 0.457 * [backup-simplify]: Simplify y into y 0.457 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.457 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.457 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.457 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.458 * [taylor]: Taking taylor expansion of (* z z) in z 0.458 * [taylor]: Taking taylor expansion of z in z 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of z in z 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 0.458 * [backup-simplify]: Simplify (* 0 0) into 0 0.458 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 0.459 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.459 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.460 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.460 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [backup-simplify]: Simplify x into x 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.460 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.460 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.460 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [backup-simplify]: Simplify x into x 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.461 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.461 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.461 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.462 * [taylor]: Taking taylor expansion of (* z z) in y 0.462 * [taylor]: Taking taylor expansion of z in y 0.462 * [backup-simplify]: Simplify z into z 0.462 * [taylor]: Taking taylor expansion of z in y 0.462 * [backup-simplify]: Simplify z into z 0.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.462 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.462 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.462 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.462 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.462 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.463 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.463 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 * [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 (+ 0 (pow y 2)) into (pow y 2) 0.463 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.464 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.465 * [taylor]: Taking taylor expansion of (* z z) in x 0.465 * [taylor]: Taking taylor expansion of z in x 0.465 * [backup-simplify]: Simplify z into z 0.465 * [taylor]: Taking taylor expansion of z in x 0.465 * [backup-simplify]: Simplify z into z 0.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.465 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.465 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.465 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.465 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.466 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.466 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.466 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.466 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 (pow y 2)) into (pow y 2) 0.466 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [backup-simplify]: Simplify y into y 0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.467 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.467 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.468 * [taylor]: Taking taylor expansion of (* z z) in x 0.468 * [taylor]: Taking taylor expansion of z in x 0.468 * [backup-simplify]: Simplify z into z 0.468 * [taylor]: Taking taylor expansion of z in x 0.468 * [backup-simplify]: Simplify z into z 0.468 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.468 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.468 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.468 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.468 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.469 * [taylor]: Taking taylor expansion of z in y 0.469 * [backup-simplify]: Simplify z into z 0.469 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.469 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.469 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.469 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.469 * [taylor]: Taking taylor expansion of z in z 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [taylor]: Taking taylor expansion of 0 in z 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [taylor]: Taking taylor expansion of 0 in z 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.472 * [backup-simplify]: Simplify (+ 1 0) into 1 0.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.473 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.473 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [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))))) 0.474 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.474 * [taylor]: Taking taylor expansion of 1/2 in y 0.474 * [backup-simplify]: Simplify 1/2 into 1/2 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.474 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.474 * [taylor]: Taking taylor expansion of z in y 0.474 * [backup-simplify]: Simplify z into z 0.474 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.475 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.475 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.475 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.475 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.476 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.476 * [taylor]: Taking taylor expansion of 1/2 in z 0.476 * [backup-simplify]: Simplify 1/2 into 1/2 0.476 * [taylor]: Taking taylor expansion of z in z 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [taylor]: Taking taylor expansion of 0 in z 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.478 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.478 * [taylor]: Taking taylor expansion of 1/2 in z 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of z in z 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.479 * [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)) 0.479 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.479 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.480 * [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)))) 0.480 * [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 0.480 * [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 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.480 * [taylor]: Taking taylor expansion of x in z 0.480 * [backup-simplify]: Simplify x into x 0.480 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.480 * [taylor]: Taking taylor expansion of y in z 0.480 * [backup-simplify]: Simplify y into y 0.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.480 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.480 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.480 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.482 * [taylor]: Taking taylor expansion of x in z 0.482 * [backup-simplify]: Simplify x into x 0.482 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.482 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.482 * [taylor]: Taking taylor expansion of y in z 0.482 * [backup-simplify]: Simplify y into y 0.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.482 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.482 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.482 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) 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 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.484 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.484 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.484 * [taylor]: Taking taylor expansion of z in z 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.484 * [taylor]: Taking taylor expansion of z in z 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.491 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.491 * [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)))) 0.491 * [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 0.491 * [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 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [backup-simplify]: Simplify x into x 0.492 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ 0 1) into 1 0.493 * [backup-simplify]: Simplify (sqrt 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [backup-simplify]: Simplify x into x 0.495 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (+ 0 1) into 1 0.496 * [backup-simplify]: Simplify (sqrt 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.498 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.498 * [taylor]: Taking taylor expansion of z in y 0.498 * [backup-simplify]: Simplify z into z 0.498 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.498 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.498 * [taylor]: Taking taylor expansion of z in y 0.498 * [backup-simplify]: Simplify z into z 0.498 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (sqrt 1) into 1 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.500 * [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)))) 0.500 * [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 0.500 * [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 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.506 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.506 * [taylor]: Taking taylor expansion of z in x 0.506 * [backup-simplify]: Simplify z into z 0.506 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.506 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.506 * [taylor]: Taking taylor expansion of z in x 0.506 * [backup-simplify]: Simplify z into z 0.506 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (sqrt 1) into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.508 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.508 * [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)))) 0.508 * [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 0.508 * [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 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [backup-simplify]: Simplify y into y 0.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.509 * [backup-simplify]: Simplify (+ 1 0) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [backup-simplify]: Simplify y into y 0.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.512 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (sqrt 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.514 * [taylor]: Taking taylor expansion of z in x 0.514 * [backup-simplify]: Simplify z into z 0.514 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.514 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.514 * [taylor]: Taking taylor expansion of z in x 0.514 * [backup-simplify]: Simplify z into z 0.514 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (sqrt 1) into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [taylor]: Taking taylor expansion of 1 in z 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.518 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.521 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.521 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 0.521 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.522 * [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)))) 0.522 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.522 * [taylor]: Taking taylor expansion of 1/2 in y 0.522 * [backup-simplify]: Simplify 1/2 into 1/2 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.522 * [taylor]: Taking taylor expansion of z in y 0.522 * [backup-simplify]: Simplify z into z 0.522 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.522 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 1) into 1 0.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in z 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [taylor]: Taking taylor expansion of 0 in z 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [taylor]: Taking taylor expansion of 0 in z 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.533 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.533 * [taylor]: Taking taylor expansion of 1/2 in z 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.533 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.533 * [taylor]: Taking taylor expansion of z in z 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.542 * [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 0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [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)))))) 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of -1/2 in y 0.544 * [backup-simplify]: Simplify -1/2 into -1/2 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.544 * [taylor]: Taking taylor expansion of 1/4 in y 0.544 * [backup-simplify]: Simplify 1/4 into 1/4 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.544 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.544 * [taylor]: Taking taylor expansion of z in y 0.544 * [backup-simplify]: Simplify z into z 0.545 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.545 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.545 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.545 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [backup-simplify]: Simplify 1/2 into 1/2 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.545 * [taylor]: Taking taylor expansion of z in y 0.545 * [backup-simplify]: Simplify z into z 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.546 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.546 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.546 * [taylor]: Taking taylor expansion of 1/4 in y 0.546 * [backup-simplify]: Simplify 1/4 into 1/4 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.547 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.554 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.555 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.555 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.556 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.556 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.557 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in z 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [taylor]: Taking taylor expansion of 0 in z 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in z 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [taylor]: Taking taylor expansion of 0 in z 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [taylor]: Taking taylor expansion of 0 in z 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.562 * [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)) 0.562 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.562 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.562 * [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)))) 0.562 * [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 0.562 * [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 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.562 * [taylor]: Taking taylor expansion of x in z 0.562 * [backup-simplify]: Simplify x into x 0.562 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.563 * [taylor]: Taking taylor expansion of y in z 0.563 * [backup-simplify]: Simplify y into y 0.563 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.563 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.563 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.563 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.563 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.563 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.564 * [taylor]: Taking taylor expansion of x in z 0.564 * [backup-simplify]: Simplify x into x 0.564 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.565 * [taylor]: Taking taylor expansion of y in z 0.565 * [backup-simplify]: Simplify y into y 0.565 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.565 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.565 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.565 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.566 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.566 * [taylor]: Taking taylor expansion of -1 in z 0.566 * [backup-simplify]: Simplify -1 into -1 0.566 * [taylor]: Taking taylor expansion of z in z 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ -1 1) into -1 0.567 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.567 * [taylor]: Taking taylor expansion of -1 in z 0.567 * [backup-simplify]: Simplify -1 into -1 0.567 * [taylor]: Taking taylor expansion of z in z 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ -1 1) into -1 0.567 * [backup-simplify]: Simplify (* -1 -1) into 1 0.567 * [backup-simplify]: Simplify (+ 0 1) into 1 0.568 * [backup-simplify]: Simplify (sqrt 1) into 1 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.570 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.570 * [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)))) 0.570 * [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 0.570 * [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 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [backup-simplify]: Simplify x into x 0.570 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [backup-simplify]: Simplify (+ 0 1) into 1 0.572 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [backup-simplify]: Simplify x into x 0.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (sqrt 1) into 1 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.576 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.576 * [taylor]: Taking taylor expansion of -1 in y 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of z in y 0.576 * [backup-simplify]: Simplify z into z 0.576 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.576 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.576 * [taylor]: Taking taylor expansion of -1 in y 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of z in y 0.576 * [backup-simplify]: Simplify z into z 0.576 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (+ 1 0) into 1 0.577 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.578 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.578 * [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)))) 0.578 * [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 0.579 * [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 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [backup-simplify]: Simplify y into y 0.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.580 * [backup-simplify]: Simplify (+ 1 0) into 1 0.580 * [backup-simplify]: Simplify (sqrt 1) into 1 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [backup-simplify]: Simplify y into y 0.582 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.582 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify (sqrt 1) into 1 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.585 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.585 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of z in x 0.585 * [backup-simplify]: Simplify z into z 0.585 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.585 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of z in x 0.585 * [backup-simplify]: Simplify z into z 0.585 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (+ 1 0) into 1 0.586 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.587 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.587 * [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)))) 0.587 * [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 0.587 * [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 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [backup-simplify]: Simplify y into y 0.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.588 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify (sqrt 1) into 1 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.591 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.592 * [backup-simplify]: Simplify (sqrt 1) into 1 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.593 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of z in x 0.594 * [backup-simplify]: Simplify z into z 0.594 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.594 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of z in x 0.594 * [backup-simplify]: Simplify z into z 0.594 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (+ 1 0) into 1 0.595 * [backup-simplify]: Simplify (sqrt 1) into 1 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.599 * [taylor]: Taking taylor expansion of 1 in y 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [taylor]: Taking taylor expansion of 1 in z 0.599 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.602 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.604 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.605 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.605 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 0.605 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.606 * [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)))) 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.606 * [taylor]: Taking taylor expansion of 1/2 in y 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.606 * [taylor]: Taking taylor expansion of z in y 0.606 * [backup-simplify]: Simplify z into z 0.606 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.606 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 1) into 1 0.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in z 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [taylor]: Taking taylor expansion of 0 in z 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [taylor]: Taking taylor expansion of 0 in z 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.617 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.617 * [taylor]: Taking taylor expansion of 1/2 in z 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.617 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.617 * [taylor]: Taking taylor expansion of z in z 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in z 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in z 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.626 * [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 0.626 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [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)))))) 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of -1/2 in y 0.628 * [backup-simplify]: Simplify -1/2 into -1/2 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.628 * [taylor]: Taking taylor expansion of 1/4 in y 0.628 * [backup-simplify]: Simplify 1/4 into 1/4 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.628 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.628 * [taylor]: Taking taylor expansion of z in y 0.628 * [backup-simplify]: Simplify z into z 0.628 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.628 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.628 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.628 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.628 * [taylor]: Taking taylor expansion of 1/2 in y 0.628 * [backup-simplify]: Simplify 1/2 into 1/2 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.628 * [taylor]: Taking taylor expansion of z in y 0.628 * [backup-simplify]: Simplify z into z 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.629 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.629 * [taylor]: Taking taylor expansion of 1/4 in y 0.629 * [backup-simplify]: Simplify 1/4 into 1/4 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.631 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.638 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.640 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.640 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.641 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.641 * [taylor]: Taking taylor expansion of 0 in z 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [taylor]: Taking taylor expansion of 0 in z 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.646 * * * [progress]: simplifying candidates 0.647 * [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) 0.647 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (expm1 (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (log1p (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)) (log (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (exp (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (* (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2))) (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (* (* (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2) (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (sqrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (sqrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) h1 h0 (* -1 h0) h2 h0 (* -1 h0) 0.651 * * [simplify]: iteration 0 : 114 enodes (cost 180 ) 0.655 * * [simplify]: iteration 1 : 282 enodes (cost 163 ) 0.662 * * [simplify]: iteration 2 : 660 enodes (cost 163 ) 0.676 * * [simplify]: iteration 3 : 1620 enodes (cost 163 ) 0.713 * * [simplify]: iteration 4 : 5001 enodes (cost 163 ) 0.715 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 3 / 4 0.811 * * * [progress]: picking best candidate 0.813 * * * * [pick]: Picked # 0.813 * * * [progress]: localizing error 0.820 * * * [progress]: generating rewritten candidates 0.820 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.822 * [backup-simplify]: Simplify (hypot (* (sqrt 1) (hypot x y)) z) into (hypot (hypot x y) z) 0.822 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 0.822 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 0.822 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.822 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 0.822 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 0.822 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.822 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.822 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.822 * [taylor]: Taking taylor expansion of (* x x) in z 0.822 * [taylor]: Taking taylor expansion of x in z 0.822 * [backup-simplify]: Simplify x into x 0.822 * [taylor]: Taking taylor expansion of x in z 0.822 * [backup-simplify]: Simplify x into x 0.822 * [taylor]: Taking taylor expansion of (* y y) in z 0.822 * [taylor]: Taking taylor expansion of y in z 0.822 * [backup-simplify]: Simplify y into y 0.822 * [taylor]: Taking taylor expansion of y in z 0.822 * [backup-simplify]: Simplify y into y 0.822 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.822 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.823 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.823 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.823 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.823 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.823 * [taylor]: Taking taylor expansion of (* x x) in z 0.824 * [taylor]: Taking taylor expansion of x in z 0.824 * [backup-simplify]: Simplify x into x 0.824 * [taylor]: Taking taylor expansion of x in z 0.824 * [backup-simplify]: Simplify x into x 0.824 * [taylor]: Taking taylor expansion of (* y y) in z 0.824 * [taylor]: Taking taylor expansion of y in z 0.824 * [backup-simplify]: Simplify y into y 0.824 * [taylor]: Taking taylor expansion of y in z 0.824 * [backup-simplify]: Simplify y into y 0.824 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.824 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.824 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.824 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.824 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.825 * [taylor]: Taking taylor expansion of (* z z) in z 0.825 * [taylor]: Taking taylor expansion of z in z 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of z in z 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 0.826 * [backup-simplify]: Simplify (* 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 0.826 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.826 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.827 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 0.827 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.827 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 0.827 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 0.827 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.827 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.827 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.827 * [taylor]: Taking taylor expansion of (* x x) in y 0.827 * [taylor]: Taking taylor expansion of x in y 0.828 * [backup-simplify]: Simplify x into x 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [backup-simplify]: Simplify x into x 0.828 * [taylor]: Taking taylor expansion of (* y y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.828 * [backup-simplify]: Simplify (* 0 0) into 0 0.828 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.828 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.828 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.829 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.829 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.829 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.829 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.829 * [taylor]: Taking taylor expansion of (* x x) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [backup-simplify]: Simplify x into x 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [backup-simplify]: Simplify x into x 0.829 * [taylor]: Taking taylor expansion of (* y y) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.830 * [backup-simplify]: Simplify (* 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.830 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.830 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.830 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.831 * [taylor]: Taking taylor expansion of (* z z) in y 0.831 * [taylor]: Taking taylor expansion of z in y 0.831 * [backup-simplify]: Simplify z into z 0.831 * [taylor]: Taking taylor expansion of z in y 0.831 * [backup-simplify]: Simplify z into z 0.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.831 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.831 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.831 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.831 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.831 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.832 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.832 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.832 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.832 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.832 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.832 * [taylor]: Taking taylor expansion of (* x x) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (* y y) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.832 * [backup-simplify]: Simplify y into y 0.832 * [taylor]: Taking taylor expansion of y in x 0.832 * [backup-simplify]: Simplify y into y 0.833 * [backup-simplify]: Simplify (* 0 0) into 0 0.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.833 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.833 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.833 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.833 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.834 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.834 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.834 * [taylor]: Taking taylor expansion of (* x x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [taylor]: Taking taylor expansion of (* y y) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [backup-simplify]: Simplify y into y 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [backup-simplify]: Simplify y into y 0.834 * [backup-simplify]: Simplify (* 0 0) into 0 0.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.834 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.835 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.835 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.835 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.835 * [taylor]: Taking taylor expansion of (* z z) in x 0.835 * [taylor]: Taking taylor expansion of z in x 0.835 * [backup-simplify]: Simplify z into z 0.835 * [taylor]: Taking taylor expansion of z in x 0.835 * [backup-simplify]: Simplify z into z 0.835 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.836 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.836 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.836 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.836 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.836 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.837 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.837 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.837 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.837 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.837 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.837 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.837 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.837 * [taylor]: Taking taylor expansion of (* x x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [taylor]: Taking taylor expansion of (* y y) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [backup-simplify]: Simplify y into y 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [backup-simplify]: Simplify y into y 0.837 * [backup-simplify]: Simplify (* 0 0) into 0 0.837 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.837 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.837 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.838 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.838 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.838 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.838 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.838 * [taylor]: Taking taylor expansion of (* x x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [taylor]: Taking taylor expansion of (* y y) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [backup-simplify]: Simplify y into y 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [backup-simplify]: Simplify y into y 0.839 * [backup-simplify]: Simplify (* 0 0) into 0 0.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.839 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.839 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.840 * [taylor]: Taking taylor expansion of (* z z) in x 0.840 * [taylor]: Taking taylor expansion of z in x 0.840 * [backup-simplify]: Simplify z into z 0.840 * [taylor]: Taking taylor expansion of z in x 0.840 * [backup-simplify]: Simplify z into z 0.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.840 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.840 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.840 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.840 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.841 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 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 * [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 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.841 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.841 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.841 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.842 * [taylor]: Taking taylor expansion of z in z 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [taylor]: Taking taylor expansion of 0 in z 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [taylor]: Taking taylor expansion of 0 in z 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.843 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.844 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.845 * [backup-simplify]: Simplify (+ 1 0) into 1 0.845 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.846 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.846 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.846 * [backup-simplify]: Simplify (+ 1 0) into 1 0.847 * [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))))) 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.847 * [taylor]: Taking taylor expansion of 1/2 in y 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.847 * [taylor]: Taking taylor expansion of z in y 0.847 * [backup-simplify]: Simplify z into z 0.847 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.847 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.848 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.848 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.848 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.848 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.848 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.848 * [taylor]: Taking taylor expansion of 1/2 in z 0.848 * [backup-simplify]: Simplify 1/2 into 1/2 0.848 * [taylor]: Taking taylor expansion of z in z 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [taylor]: Taking taylor expansion of 0 in z 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.850 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.851 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.851 * [taylor]: Taking taylor expansion of 1/2 in z 0.851 * [backup-simplify]: Simplify 1/2 into 1/2 0.851 * [taylor]: Taking taylor expansion of z in z 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.852 * [backup-simplify]: Simplify (hypot (* (sqrt 1) (hypot (/ 1 x) (/ 1 y))) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) 0.853 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 0.853 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.853 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 0.853 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 0.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.853 * [backup-simplify]: Simplify x into x 0.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.853 * [backup-simplify]: Simplify x into x 0.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.853 * [taylor]: Taking taylor expansion of y in z 0.853 * [backup-simplify]: Simplify y into y 0.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.853 * [taylor]: Taking taylor expansion of y in z 0.853 * [backup-simplify]: Simplify y into y 0.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.853 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.853 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.854 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.854 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.855 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.855 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.855 * [taylor]: Taking taylor expansion of x in z 0.855 * [backup-simplify]: Simplify x into x 0.855 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.855 * [taylor]: Taking taylor expansion of x in z 0.855 * [backup-simplify]: Simplify x into x 0.855 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.855 * [taylor]: Taking taylor expansion of y in z 0.855 * [backup-simplify]: Simplify y into y 0.855 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.855 * [taylor]: Taking taylor expansion of y in z 0.855 * [backup-simplify]: Simplify y into y 0.856 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.856 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.856 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.856 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.856 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.857 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.857 * [taylor]: Taking taylor expansion of z in z 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.858 * [taylor]: Taking taylor expansion of z in z 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [backup-simplify]: Simplify (* 1 1) into 1 0.858 * [backup-simplify]: Simplify (+ 0 1) into 1 0.859 * [backup-simplify]: Simplify (sqrt 1) into 1 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.861 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 0.861 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.861 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 0.861 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 0.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [backup-simplify]: Simplify x into x 0.861 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [backup-simplify]: Simplify x into x 0.861 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.862 * [backup-simplify]: Simplify (+ 0 1) into 1 0.863 * [backup-simplify]: Simplify (sqrt 1) into 1 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.865 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.865 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.865 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [backup-simplify]: Simplify x into x 0.865 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [backup-simplify]: Simplify x into x 0.865 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.865 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.865 * [taylor]: Taking taylor expansion of y in y 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 y) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [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 0.867 * [backup-simplify]: Simplify (sqrt 1) into 1 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [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 0.869 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.869 * [taylor]: Taking taylor expansion of z in y 0.869 * [backup-simplify]: Simplify z into z 0.869 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.869 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.869 * [taylor]: Taking taylor expansion of z in y 0.869 * [backup-simplify]: Simplify z into z 0.869 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (+ 1 0) into 1 0.869 * [backup-simplify]: Simplify (sqrt 1) into 1 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.871 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.871 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.871 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.871 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.871 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.871 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.871 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.871 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [backup-simplify]: Simplify y into y 0.872 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [backup-simplify]: Simplify y into y 0.872 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ 1 0) into 1 0.873 * [backup-simplify]: Simplify (sqrt 1) into 1 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.875 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.875 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.875 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [backup-simplify]: Simplify y into y 0.876 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [backup-simplify]: Simplify y into y 0.876 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.876 * [backup-simplify]: Simplify (* 1 1) into 1 0.876 * [backup-simplify]: Simplify (+ 1 0) into 1 0.877 * [backup-simplify]: Simplify (sqrt 1) into 1 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 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 0.879 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.879 * [taylor]: Taking taylor expansion of z in x 0.879 * [backup-simplify]: Simplify z into z 0.879 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.879 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.879 * [taylor]: Taking taylor expansion of z in x 0.879 * [backup-simplify]: Simplify z into z 0.879 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (+ 1 0) into 1 0.879 * [backup-simplify]: Simplify (sqrt 1) into 1 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.881 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.881 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.881 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.881 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.881 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.881 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [backup-simplify]: Simplify y into y 0.882 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [backup-simplify]: Simplify y into y 0.882 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.882 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.882 * [backup-simplify]: Simplify (sqrt 1) into 1 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.885 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [backup-simplify]: Simplify y into y 0.885 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [backup-simplify]: Simplify y into y 0.885 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (sqrt 1) into 1 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [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 (* (/ 1 z) (/ 1 z)) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.888 * [taylor]: Taking taylor expansion of z in x 0.888 * [backup-simplify]: Simplify z into z 0.888 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.888 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.888 * [taylor]: Taking taylor expansion of z in x 0.888 * [backup-simplify]: Simplify z into z 0.888 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (sqrt 1) into 1 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.890 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 1 in z 0.890 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.892 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.893 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.895 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.896 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.896 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 0.896 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.897 * [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)))) 0.897 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.898 * [taylor]: Taking taylor expansion of 1/2 in y 0.898 * [backup-simplify]: Simplify 1/2 into 1/2 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.898 * [taylor]: Taking taylor expansion of z in y 0.898 * [backup-simplify]: Simplify z into z 0.898 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.909 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.910 * [taylor]: Taking taylor expansion of 1/2 in z 0.910 * [backup-simplify]: Simplify 1/2 into 1/2 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.910 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.910 * [taylor]: Taking taylor expansion of z in z 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [taylor]: Taking taylor expansion of 0 in z 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in z 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.924 * [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 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [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)))))) 0.926 * [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 0.927 * [taylor]: Taking taylor expansion of -1/2 in y 0.927 * [backup-simplify]: Simplify -1/2 into -1/2 0.927 * [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 0.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.927 * [taylor]: Taking taylor expansion of 1/4 in y 0.927 * [backup-simplify]: Simplify 1/4 into 1/4 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.927 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.927 * [taylor]: Taking taylor expansion of z in y 0.927 * [backup-simplify]: Simplify z into z 0.927 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.927 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.927 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.927 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.927 * [taylor]: Taking taylor expansion of 1/2 in y 0.927 * [backup-simplify]: Simplify 1/2 into 1/2 0.927 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.927 * [taylor]: Taking taylor expansion of z in y 0.927 * [backup-simplify]: Simplify z into z 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.928 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.928 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.928 * [taylor]: Taking taylor expansion of 1/4 in y 0.928 * [backup-simplify]: Simplify 1/4 into 1/4 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.929 * [backup-simplify]: Simplify (/ 1 1) into 1 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.930 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.932 * [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 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.937 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.937 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.939 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.939 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.940 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in z 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in z 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.942 * [taylor]: Taking taylor expansion of 0 in z 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [taylor]: Taking taylor expansion of 0 in z 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [taylor]: Taking taylor expansion of 0 in z 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.945 * [backup-simplify]: Simplify (hypot (* (sqrt 1) (hypot (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) 0.945 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 0.945 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.945 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 0.945 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 0.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.945 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.945 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.945 * [taylor]: Taking taylor expansion of -1 in z 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [taylor]: Taking taylor expansion of x in z 0.945 * [backup-simplify]: Simplify x into x 0.945 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.945 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.945 * [taylor]: Taking taylor expansion of -1 in z 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [taylor]: Taking taylor expansion of x in z 0.945 * [backup-simplify]: Simplify x into x 0.945 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.945 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.945 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.945 * [taylor]: Taking taylor expansion of -1 in z 0.945 * [backup-simplify]: Simplify -1 into -1 0.945 * [taylor]: Taking taylor expansion of y in z 0.945 * [backup-simplify]: Simplify y into y 0.945 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.945 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.945 * [taylor]: Taking taylor expansion of -1 in z 0.945 * [backup-simplify]: Simplify -1 into -1 0.946 * [taylor]: Taking taylor expansion of y in z 0.946 * [backup-simplify]: Simplify y into y 0.946 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.946 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.946 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.946 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.946 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.946 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.947 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.947 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.947 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.947 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.947 * [taylor]: Taking taylor expansion of -1 in z 0.947 * [backup-simplify]: Simplify -1 into -1 0.947 * [taylor]: Taking taylor expansion of x in z 0.947 * [backup-simplify]: Simplify x into x 0.948 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.948 * [taylor]: Taking taylor expansion of -1 in z 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of x in z 0.948 * [backup-simplify]: Simplify x into x 0.948 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.948 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.948 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.948 * [taylor]: Taking taylor expansion of -1 in z 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of y in z 0.948 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.948 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.948 * [taylor]: Taking taylor expansion of -1 in z 0.948 * [backup-simplify]: Simplify -1 into -1 0.948 * [taylor]: Taking taylor expansion of y in z 0.948 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.948 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.948 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.948 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.948 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.948 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.949 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.950 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.950 * [taylor]: Taking taylor expansion of -1 in z 0.950 * [backup-simplify]: Simplify -1 into -1 0.950 * [taylor]: Taking taylor expansion of z in z 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ -1 1) into -1 0.950 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.950 * [taylor]: Taking taylor expansion of -1 in z 0.950 * [backup-simplify]: Simplify -1 into -1 0.950 * [taylor]: Taking taylor expansion of z in z 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ -1 1) into -1 0.951 * [backup-simplify]: Simplify (* -1 -1) into 1 0.951 * [backup-simplify]: Simplify (+ 0 1) into 1 0.951 * [backup-simplify]: Simplify (sqrt 1) into 1 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.953 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 0.953 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.953 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 0.953 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 0.953 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.954 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.954 * [taylor]: Taking taylor expansion of -1 in y 0.954 * [backup-simplify]: Simplify -1 into -1 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [backup-simplify]: Simplify x into x 0.954 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.954 * [taylor]: Taking taylor expansion of -1 in y 0.954 * [backup-simplify]: Simplify -1 into -1 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [backup-simplify]: Simplify x into x 0.954 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.954 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.954 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.954 * [taylor]: Taking taylor expansion of -1 in y 0.954 * [backup-simplify]: Simplify -1 into -1 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ -1 1) into -1 0.954 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.954 * [taylor]: Taking taylor expansion of -1 in y 0.954 * [backup-simplify]: Simplify -1 into -1 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (/ -1 1) into -1 0.955 * [backup-simplify]: Simplify (* -1 -1) into 1 0.955 * [backup-simplify]: Simplify (+ 0 1) into 1 0.956 * [backup-simplify]: Simplify (sqrt 1) into 1 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.958 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [backup-simplify]: Simplify -1 into -1 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [backup-simplify]: Simplify x into x 0.958 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [backup-simplify]: Simplify -1 into -1 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [backup-simplify]: Simplify x into x 0.958 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.958 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.958 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [backup-simplify]: Simplify -1 into -1 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ -1 1) into -1 0.959 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.959 * [backup-simplify]: Simplify -1 into -1 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ -1 1) into -1 0.959 * [backup-simplify]: Simplify (* -1 -1) into 1 0.960 * [backup-simplify]: Simplify (+ 0 1) into 1 0.960 * [backup-simplify]: Simplify (sqrt 1) into 1 0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.962 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.962 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.962 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of z in y 0.962 * [backup-simplify]: Simplify z into z 0.962 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.962 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.962 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of z in y 0.962 * [backup-simplify]: Simplify z into z 0.962 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (+ 1 0) into 1 0.963 * [backup-simplify]: Simplify (sqrt 1) into 1 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.964 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.964 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.964 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.964 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.965 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.965 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ -1 1) into -1 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ -1 1) into -1 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [backup-simplify]: Simplify -1 into -1 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [backup-simplify]: Simplify y into y 0.966 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.966 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [backup-simplify]: Simplify -1 into -1 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [backup-simplify]: Simplify y into y 0.966 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.966 * [backup-simplify]: Simplify (* -1 -1) into 1 0.966 * [backup-simplify]: Simplify (+ 1 0) into 1 0.967 * [backup-simplify]: Simplify (sqrt 1) into 1 0.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.969 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.969 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.969 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.969 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.969 * [taylor]: Taking taylor expansion of -1 in x 0.969 * [backup-simplify]: Simplify -1 into -1 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ -1 1) into -1 0.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.970 * [taylor]: Taking taylor expansion of -1 in x 0.970 * [backup-simplify]: Simplify -1 into -1 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ -1 1) into -1 0.970 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.970 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.970 * [taylor]: Taking taylor expansion of -1 in x 0.970 * [backup-simplify]: Simplify -1 into -1 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.970 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.970 * [taylor]: Taking taylor expansion of -1 in x 0.970 * [backup-simplify]: Simplify -1 into -1 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.971 * [backup-simplify]: Simplify (* -1 -1) into 1 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.971 * [backup-simplify]: Simplify (sqrt 1) into 1 0.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.973 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.973 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.973 * [taylor]: Taking taylor expansion of -1 in x 0.973 * [backup-simplify]: Simplify -1 into -1 0.973 * [taylor]: Taking taylor expansion of z in x 0.973 * [backup-simplify]: Simplify z into z 0.973 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.973 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.973 * [taylor]: Taking taylor expansion of -1 in x 0.973 * [backup-simplify]: Simplify -1 into -1 0.973 * [taylor]: Taking taylor expansion of z in x 0.973 * [backup-simplify]: Simplify z into z 0.973 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (sqrt 1) into 1 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.976 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.976 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.976 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.976 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.976 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.976 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [backup-simplify]: Simplify -1 into -1 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (/ -1 1) into -1 0.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [backup-simplify]: Simplify -1 into -1 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (/ -1 1) into -1 0.977 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.977 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [backup-simplify]: Simplify -1 into -1 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [backup-simplify]: Simplify y into y 0.977 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.977 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.977 * [taylor]: Taking taylor expansion of -1 in x 0.977 * [backup-simplify]: Simplify -1 into -1 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [backup-simplify]: Simplify y into y 0.977 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.977 * [backup-simplify]: Simplify (* -1 -1) into 1 0.978 * [backup-simplify]: Simplify (+ 1 0) into 1 0.978 * [backup-simplify]: Simplify (sqrt 1) into 1 0.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.980 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.980 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.980 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.980 * [taylor]: Taking taylor expansion of -1 in x 0.980 * [backup-simplify]: Simplify -1 into -1 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (/ -1 1) into -1 0.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.981 * [taylor]: Taking taylor expansion of -1 in x 0.981 * [backup-simplify]: Simplify -1 into -1 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ -1 1) into -1 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.981 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.981 * [taylor]: Taking taylor expansion of -1 in x 0.981 * [backup-simplify]: Simplify -1 into -1 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.981 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.981 * [taylor]: Taking taylor expansion of -1 in x 0.981 * [backup-simplify]: Simplify -1 into -1 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.981 * [backup-simplify]: Simplify (* -1 -1) into 1 0.982 * [backup-simplify]: Simplify (+ 1 0) into 1 0.982 * [backup-simplify]: Simplify (sqrt 1) into 1 0.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.984 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [backup-simplify]: Simplify -1 into -1 0.984 * [taylor]: Taking taylor expansion of z in x 0.984 * [backup-simplify]: Simplify z into z 0.984 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.984 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [backup-simplify]: Simplify -1 into -1 0.984 * [taylor]: Taking taylor expansion of z in x 0.984 * [backup-simplify]: Simplify z into z 0.984 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ 1 0) into 1 0.985 * [backup-simplify]: Simplify (sqrt 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.986 * [taylor]: Taking taylor expansion of 1 in y 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [taylor]: Taking taylor expansion of 1 in z 0.986 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.988 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.991 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.993 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.993 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 0.993 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.994 * [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)))) 0.994 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.994 * [taylor]: Taking taylor expansion of 1/2 in y 0.994 * [backup-simplify]: Simplify 1/2 into 1/2 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.994 * [taylor]: Taking taylor expansion of z in y 0.994 * [backup-simplify]: Simplify z into z 0.994 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (+ 0 1) into 1 0.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.002 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.006 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.006 * [taylor]: Taking taylor expansion of 1/2 in z 1.006 * [backup-simplify]: Simplify 1/2 into 1/2 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.006 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.006 * [taylor]: Taking taylor expansion of z in z 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (* 1 1) into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [taylor]: Taking taylor expansion of 0 in z 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [taylor]: Taking taylor expansion of 0 in z 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.014 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.014 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.017 * [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 1.017 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.017 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [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)))))) 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of -1/2 in y 1.019 * [backup-simplify]: Simplify -1/2 into -1/2 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.019 * [taylor]: Taking taylor expansion of 1/4 in y 1.019 * [backup-simplify]: Simplify 1/4 into 1/4 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.019 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.019 * [taylor]: Taking taylor expansion of z in y 1.019 * [backup-simplify]: Simplify z into z 1.019 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.019 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.019 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.019 * [taylor]: Taking taylor expansion of 1/2 in y 1.019 * [backup-simplify]: Simplify 1/2 into 1/2 1.019 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.019 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.019 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.019 * [taylor]: Taking taylor expansion of z in y 1.019 * [backup-simplify]: Simplify z into z 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.020 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.020 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.020 * [taylor]: Taking taylor expansion of 1/4 in y 1.020 * [backup-simplify]: Simplify 1/4 into 1/4 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (* 1 1) into 1 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.021 * [backup-simplify]: Simplify (/ 1 1) into 1 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.022 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.033 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.034 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.035 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.035 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.036 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in z 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in z 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 1.041 * * * [progress]: simplifying candidates 1.041 * [simplify]: Simplifying: (expm1 (hypot (* (sqrt 1) (hypot x y)) z)) (log1p (hypot (* (sqrt 1) (hypot x y)) z)) (+ (* (* (sqrt 1) (hypot x y)) (* (sqrt 1) (hypot x y))) (* z z)) (log (hypot (* (sqrt 1) (hypot x y)) z)) (exp (hypot (* (sqrt 1) (hypot x y)) z)) (* (cbrt (hypot (* (sqrt 1) (hypot x y)) z)) (cbrt (hypot (* (sqrt 1) (hypot x y)) z))) (cbrt (hypot (* (sqrt 1) (hypot x y)) z)) (* (* (hypot (* (sqrt 1) (hypot x y)) z) (hypot (* (sqrt 1) (hypot x y)) z)) (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) (sqrt (hypot (* (sqrt 1) (hypot x y)) z)) z x (* -1 x) 1.042 * [simplify]: Sending expressions to egg_math: (expm1 (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (log1p (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (+ (* (* (sqrt 1) (hypot h0 h1)) (* (sqrt 1) (hypot h0 h1))) (* h2 h2)) (log (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (exp (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (* (cbrt (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (cbrt (hypot (* (sqrt 1) (hypot h0 h1)) h2))) (cbrt (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (* (* (hypot (* (sqrt 1) (hypot h0 h1)) h2) (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (sqrt (hypot (* (sqrt 1) (hypot h0 h1)) h2)) (sqrt (hypot (* (sqrt 1) (hypot h0 h1)) h2)) h2 h0 (* -1 h0) 1.045 * * [simplify]: iteration 0 : 37 enodes (cost 69 ) 1.048 * * [simplify]: iteration 1 : 58 enodes (cost 60 ) 1.051 * * [simplify]: iteration 2 : 77 enodes (cost 57 ) 1.054 * * [simplify]: iteration 3 : 128 enodes (cost 56 ) 1.058 * * [simplify]: iteration 4 : 228 enodes (cost 56 ) 1.062 * * [simplify]: iteration 5 : 294 enodes (cost 56 ) 1.071 * * [simplify]: iteration 6 : 830 enodes (cost 56 ) 1.097 * * [simplify]: iteration 7 : 2534 enodes (cost 56 ) 1.185 * * [simplify]: iteration 8 : 5002 enodes (cost 56 ) 1.186 * * * [progress]: adding candidates to table 1.222 * [progress]: [Phase 3 of 3] Extracting. 1.224 * [simplify]: Simplifying: (hypot (* (sqrt 1) (hypot x y)) z) 1.225 * [simplify]: Sending expressions to egg_math: (hypot (* (sqrt 1) (hypot h0 h1)) h2) 1.225 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 1.226 * * [simplify]: iteration 1 : 11 enodes (cost 4 ) 1.786 * [regime-testing]: End program error score: 0.004875609451181397 1.822 * [regime-testing]: Target error score: 25.452954363975827