19.502 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.999 * * * [progress]: [2/2] Setting up program. 1.002 * [progress]: [Phase 2 of 3] Improving. 1.003 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1.005 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 1.006 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 1.008 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 1.009 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 1.009 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1.009 * * [progress]: iteration 1 / 4 1.009 * * * [progress]: picking best candidate 1.012 * * * * [pick]: Picked # 1.012 * * * [progress]: localizing error 1.025 * * * [progress]: generating rewritten candidates 1.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 1.035 * * * [progress]: generating series expansions 1.035 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.035 * [taylor]: Taking taylor expansion of x in z 1.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.035 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.035 * [taylor]: Taking taylor expansion of y in z 1.035 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.035 * [taylor]: Taking taylor expansion of z in z 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.036 * [taylor]: Taking taylor expansion of z in y 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.036 * [taylor]: Taking taylor expansion of z in x 1.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.037 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.037 * [taylor]: Taking taylor expansion of z in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.038 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.038 * [taylor]: Taking taylor expansion of z in y 1.038 * [taylor]: Taking taylor expansion of z in z 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [taylor]: Taking taylor expansion of 0 in z 1.038 * [taylor]: Taking taylor expansion of 0 in z 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.039 * [taylor]: Taking taylor expansion of 1/2 in y 1.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.039 * [taylor]: Taking taylor expansion of z in y 1.039 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.039 * [taylor]: Taking taylor expansion of 1/2 in z 1.039 * [taylor]: Taking taylor expansion of z in z 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.039 * [taylor]: Taking taylor expansion of 1/2 in z 1.039 * [taylor]: Taking taylor expansion of z in z 1.040 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.040 * [taylor]: Taking taylor expansion of x in z 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.040 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.040 * [taylor]: Taking taylor expansion of z in z 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.040 * [taylor]: Taking taylor expansion of y in z 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.040 * [taylor]: Taking taylor expansion of z in y 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.041 * [taylor]: Taking taylor expansion of z in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.041 * [taylor]: Taking taylor expansion of z in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of 1 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 1 in z 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.042 * [taylor]: Taking taylor expansion of 1/2 in y 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.042 * [taylor]: Taking taylor expansion of z in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of 0 in z 1.043 * [taylor]: Taking taylor expansion of 0 in z 1.043 * [taylor]: Taking taylor expansion of 0 in z 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.043 * [taylor]: Taking taylor expansion of 1/2 in z 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.043 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.044 * [taylor]: Taking taylor expansion of z in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.045 * [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 1.045 * [taylor]: Taking taylor expansion of -1/2 in y 1.045 * [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 1.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.045 * [taylor]: Taking taylor expansion of 1/4 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.045 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.045 * [taylor]: Taking taylor expansion of z in y 1.045 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/2 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.045 * [taylor]: Taking taylor expansion of z in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.045 * [taylor]: Taking taylor expansion of 1/4 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of 0 in z 1.046 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.047 * [taylor]: Taking taylor expansion of x in z 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.047 * [taylor]: Taking taylor expansion of z in z 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.047 * [taylor]: Taking taylor expansion of y in z 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.048 * [taylor]: Taking taylor expansion of z in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.048 * [taylor]: Taking taylor expansion of z in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.049 * [taylor]: Taking taylor expansion of z in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.049 * [taylor]: Taking taylor expansion of 1 in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [taylor]: Taking taylor expansion of 1 in z 1.050 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.050 * [taylor]: Taking taylor expansion of 1/2 in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.050 * [taylor]: Taking taylor expansion of z in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 0 in z 1.050 * [taylor]: Taking taylor expansion of 0 in z 1.050 * [taylor]: Taking taylor expansion of 0 in z 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.051 * [taylor]: Taking taylor expansion of 1/2 in z 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.051 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.051 * [taylor]: Taking taylor expansion of z in z 1.051 * [taylor]: Taking taylor expansion of 0 in z 1.051 * [taylor]: Taking taylor expansion of 0 in z 1.052 * [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 1.052 * [taylor]: Taking taylor expansion of -1/2 in y 1.052 * [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 1.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.052 * [taylor]: Taking taylor expansion of 1/4 in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.052 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.052 * [taylor]: Taking taylor expansion of z in y 1.052 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.052 * [taylor]: Taking taylor expansion of 1/2 in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.052 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.052 * [taylor]: Taking taylor expansion of z in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.052 * [taylor]: Taking taylor expansion of 1/4 in y 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.053 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.054 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.054 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [taylor]: Taking taylor expansion of 1 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of 1 in y 1.056 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of 1 in y 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.060 * * * [progress]: simplifying candidates 1.060 * [simplify]: Simplifying using # : (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)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.063 * * [simplify]: iteration 0 : 173 enodes (cost 212 ) 1.067 * * [simplify]: iteration 1 : 707 enodes (cost 203 ) 1.077 * * [simplify]: iteration 2 : 1993 enodes (cost 203 ) 1.117 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 1.119 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (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)))) 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)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.119 * * * [progress]: adding candidates to table 1.161 * * [progress]: iteration 2 / 4 1.161 * * * [progress]: picking best candidate 1.168 * * * * [pick]: Picked # 1.169 * * * [progress]: localizing error 1.171 * * * [progress]: generating rewritten candidates 1.171 * * * [progress]: generating series expansions 1.171 * * * [progress]: simplifying candidates 1.171 * [simplify]: Simplifying using # : 1.173 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.173 * [simplify]: Simplified to: 1.173 * * * [progress]: adding candidates to table 1.173 * * [progress]: iteration 3 / 4 1.173 * * * [progress]: picking best candidate 1.178 * * * * [pick]: Picked # 1.178 * * * [progress]: localizing error 1.179 * * * [progress]: generating rewritten candidates 1.179 * * * [progress]: generating series expansions 1.179 * * * [progress]: simplifying candidates 1.179 * [simplify]: Simplifying using # : 1.181 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.181 * [simplify]: Simplified to: 1.181 * * * [progress]: adding candidates to table 1.181 * * [progress]: iteration 4 / 4 1.181 * * * [progress]: picking best candidate 1.184 * * * * [pick]: Picked # 1.184 * * * [progress]: localizing error 1.184 * * * [progress]: generating rewritten candidates 1.184 * * * [progress]: generating series expansions 1.184 * * * [progress]: simplifying candidates 1.185 * [simplify]: Simplifying using # : 1.186 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.187 * [simplify]: Simplified to: 1.187 * * * [progress]: adding candidates to table 1.187 * [progress]: [Phase 3 of 3] Extracting. 1.187 * * [regime]: Finding splitpoints for: (# # # #) 1.188 * * * [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) 1.188 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.236 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 1.282 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.330 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.376 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.415 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.461 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.499 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 1.544 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 1.593 * * * * [regimes]: Trying to branch on z from (# # # #) 1.648 * * * * [regimes]: Trying to branch on y from (# # # #) 1.714 * * * * [regimes]: Trying to branch on x from (# # # #) 1.770 * * * [regime]: Found split indices: #