29.735 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.024 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.026 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.066 * [taylor]: Taking taylor expansion of x in z 0.066 * [backup-simplify]: Simplify x into x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.066 * [taylor]: Taking taylor expansion of y in z 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.066 * [taylor]: Taking taylor expansion of z in z 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.066 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.066 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.067 * [taylor]: Taking taylor expansion of z in y 0.067 * [backup-simplify]: Simplify z into z 0.067 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.068 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.068 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.068 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.068 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.068 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.069 * [taylor]: Taking taylor expansion of z in x 0.069 * [backup-simplify]: Simplify z into z 0.069 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.069 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.069 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.072 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.072 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.072 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.073 * [taylor]: Taking taylor expansion of z in x 0.073 * [backup-simplify]: Simplify z into z 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.073 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.073 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.074 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.074 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.075 * [backup-simplify]: Simplify z into z 0.075 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.075 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.075 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.075 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.075 * [taylor]: Taking taylor expansion of z in z 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.076 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [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))))) 0.077 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.077 * [taylor]: Taking taylor expansion of 1/2 in y 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.077 * [taylor]: Taking taylor expansion of z in y 0.077 * [backup-simplify]: Simplify z into z 0.078 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.078 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.078 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.078 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.078 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.078 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.078 * [taylor]: Taking taylor expansion of 1/2 in z 0.079 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [taylor]: Taking taylor expansion of z in z 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.081 * [taylor]: Taking taylor expansion of 1/2 in z 0.081 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.082 * [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))))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.082 * [taylor]: Taking taylor expansion of x in z 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.083 * [taylor]: Taking taylor expansion of y in z 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.085 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.086 * [taylor]: Taking taylor expansion of z in y 0.086 * [backup-simplify]: Simplify z into z 0.086 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) into 1 0.087 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 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 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.089 * [backup-simplify]: Simplify z into z 0.089 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.092 * [taylor]: Taking taylor expansion of z in x 0.092 * [backup-simplify]: Simplify z into z 0.092 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [taylor]: Taking taylor expansion of 1 in z 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.096 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.096 * [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)))) 0.096 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.096 * [taylor]: Taking taylor expansion of 1/2 in y 0.096 * [backup-simplify]: Simplify 1/2 into 1/2 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.097 * [taylor]: Taking taylor expansion of z in y 0.097 * [backup-simplify]: Simplify z into z 0.097 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 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 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.100 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.103 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.103 * [taylor]: Taking taylor expansion of 1/2 in z 0.103 * [backup-simplify]: Simplify 1/2 into 1/2 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.103 * [taylor]: Taking taylor expansion of z in z 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [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)))))) 0.109 * [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 0.109 * [taylor]: Taking taylor expansion of -1/2 in y 0.109 * [backup-simplify]: Simplify -1/2 into -1/2 0.109 * [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 0.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.109 * [taylor]: Taking taylor expansion of 1/4 in y 0.109 * [backup-simplify]: Simplify 1/4 into 1/4 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.109 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [backup-simplify]: Simplify z into z 0.109 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.109 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.109 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.109 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [backup-simplify]: Simplify z into z 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.110 * [taylor]: Taking taylor expansion of 1/4 in y 0.110 * [backup-simplify]: Simplify 1/4 into 1/4 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.111 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.118 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.119 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.119 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.120 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.124 * [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))))) 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.124 * [taylor]: Taking taylor expansion of x in z 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.125 * [taylor]: Taking taylor expansion of z in z 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.125 * [taylor]: Taking taylor expansion of y in z 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (+ 0 1) into 1 0.126 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.128 * [taylor]: Taking taylor expansion of z in y 0.128 * [backup-simplify]: Simplify z into z 0.128 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [backup-simplify]: Simplify (sqrt 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.132 * [taylor]: Taking taylor expansion of z in x 0.132 * [backup-simplify]: Simplify z into z 0.132 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.134 * [taylor]: Taking taylor expansion of z in x 0.134 * [backup-simplify]: Simplify z into z 0.134 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (sqrt 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [taylor]: Taking taylor expansion of 1 in z 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.138 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.139 * [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)))) 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.139 * [taylor]: Taking taylor expansion of 1/2 in y 0.139 * [backup-simplify]: Simplify 1/2 into 1/2 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.139 * [taylor]: Taking taylor expansion of z in y 0.139 * [backup-simplify]: Simplify z into z 0.139 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.145 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.145 * [taylor]: Taking taylor expansion of 1/2 in z 0.145 * [backup-simplify]: Simplify 1/2 into 1/2 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.145 * [taylor]: Taking taylor expansion of z in z 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.149 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [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)))))) 0.151 * [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 0.151 * [taylor]: Taking taylor expansion of -1/2 in y 0.151 * [backup-simplify]: Simplify -1/2 into -1/2 0.151 * [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 0.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.151 * [taylor]: Taking taylor expansion of 1/4 in y 0.151 * [backup-simplify]: Simplify 1/4 into 1/4 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [backup-simplify]: Simplify z into z 0.151 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.151 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.151 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [backup-simplify]: Simplify 1/2 into 1/2 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.151 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [backup-simplify]: Simplify z into z 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.152 * [taylor]: Taking taylor expansion of 1/4 in y 0.152 * [backup-simplify]: Simplify 1/4 into 1/4 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.153 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.160 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.161 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.161 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.162 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.168 * * * [progress]: simplifying candidates 0.169 * [simplify]: Simplifying: (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) 0.169 * [simplify]: Sending expressions to egg_math: (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) 0.172 * * [simplify]: iteration 0 : 90 enodes (cost 142 ) 0.174 * * [simplify]: iteration 1 : 275 enodes (cost 137 ) 0.180 * * [simplify]: iteration 2 : 951 enodes (cost 137 ) 0.199 * * [simplify]: iteration 3 : 3615 enodes (cost 137 ) 0.265 * * [simplify]: iteration 4 : 5002 enodes (cost 137 ) 0.266 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.309 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.316 * * * [progress]: generating rewritten candidates 0.316 * * * [progress]: generating series expansions 0.316 * * * [progress]: simplifying candidates 0.316 * [simplify]: Simplifying: 0.316 * [simplify]: Sending expressions to egg_math: 0.318 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.318 * * * [progress]: adding candidates to table 0.319 * * [progress]: iteration 3 / 4 0.319 * * * [progress]: picking best candidate 0.320 * * * * [pick]: Picked # 0.320 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * [progress]: generating series expansions 0.322 * * * [progress]: simplifying candidates 0.323 * [simplify]: Simplifying: 0.323 * [simplify]: Sending expressions to egg_math: 0.325 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.325 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 4 / 4 0.325 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.327 * * * [progress]: generating rewritten candidates 0.327 * * * [progress]: generating series expansions 0.327 * * * [progress]: simplifying candidates 0.327 * [simplify]: Simplifying: 0.327 * [simplify]: Sending expressions to egg_math: 0.329 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.329 * * * [progress]: adding candidates to table 0.329 * [progress]: [Phase 3 of 3] Extracting. 0.329 * * [regime]: Finding splitpoints for: (# # # #) 0.330 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 0.330 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.356 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.379 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.399 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.416 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.432 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.450 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.466 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.484 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.506 * * * * [regimes]: Trying to branch on z from (# # # #) 0.525 * * * * [regimes]: Trying to branch on y from (# # # #) 0.557 * * * * [regimes]: Trying to branch on x from (# # # #) 0.592 * * * [regime]: Found split indices: #