23.012 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.020 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.022 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.024 * * [simplify]: iteration 3 : 30 enodes (cost 10 ) 0.028 * * [simplify]: iteration done : 30 enodes (cost 10 ) 0.028 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 3) 0.043 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y 0.044 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y 0.044 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.044 * [taylor]: Taking taylor expansion of (* z z) in y 0.044 * [taylor]: Taking taylor expansion of z in y 0.044 * [taylor]: Taking taylor expansion of z in y 0.044 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.044 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x 0.045 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x 0.046 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.046 * [taylor]: Taking taylor expansion of (* z z) in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.046 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* x x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.048 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.048 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.048 * [taylor]: Taking taylor expansion of (* z z) in z 0.048 * [taylor]: Taking taylor expansion of z in z 0.048 * [taylor]: Taking taylor expansion of z in z 0.048 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.048 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.048 * [taylor]: Taking taylor expansion of (* x x) in z 0.048 * [taylor]: Taking taylor expansion of x in z 0.048 * [taylor]: Taking taylor expansion of x in z 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.048 * [taylor]: Taking taylor expansion of y in z 0.050 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.050 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.050 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* z z) in z 0.050 * [taylor]: Taking taylor expansion of z in z 0.050 * [taylor]: Taking taylor expansion of z in z 0.050 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.050 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (* x x) in z 0.050 * [taylor]: Taking taylor expansion of x in z 0.050 * [taylor]: Taking taylor expansion of x in z 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.050 * [taylor]: Taking taylor expansion of y in z 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in x 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.055 * [taylor]: Taking taylor expansion of 1/2 in x 0.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y 0.059 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.059 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.059 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.059 * [taylor]: Taking taylor expansion of z in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.059 * [taylor]: Taking taylor expansion of z in y 0.059 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.060 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x 0.066 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.066 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.066 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.066 * [taylor]: Taking taylor expansion of z in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.066 * [taylor]: Taking taylor expansion of z in x 0.066 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.066 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.066 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.070 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.070 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.070 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.070 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.070 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.070 * [taylor]: Taking taylor expansion of z in z 0.071 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.071 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.071 * [taylor]: Taking taylor expansion of x in z 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.071 * [taylor]: Taking taylor expansion of x in z 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.071 * [taylor]: Taking taylor expansion of y in z 0.074 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.074 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.074 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.074 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.074 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.075 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.075 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.075 * [taylor]: Taking taylor expansion of x in z 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.075 * [taylor]: Taking taylor expansion of x in z 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.075 * [taylor]: Taking taylor expansion of y in z 0.078 * [taylor]: Taking taylor expansion of 1 in x 0.078 * [taylor]: Taking taylor expansion of 0 in x 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.081 * [taylor]: Taking taylor expansion of 1/2 in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in x 0.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of 1/2 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x 0.094 * [taylor]: Taking taylor expansion of -1/2 in x 0.094 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x 0.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.094 * [taylor]: Taking taylor expansion of 1/2 in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.094 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x 0.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x 0.095 * [taylor]: Taking taylor expansion of 1/4 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x 0.096 * [taylor]: Taking taylor expansion of 1/4 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.110 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.110 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.110 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.110 * [taylor]: Taking taylor expansion of -1 in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.110 * [taylor]: Taking taylor expansion of -1 in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.110 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.110 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.111 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.111 * [taylor]: Taking taylor expansion of -1 in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.111 * [taylor]: Taking taylor expansion of -1 in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.114 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.114 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.114 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of z in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of z in x 0.114 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.114 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.118 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.118 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.118 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.118 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.118 * [taylor]: Taking taylor expansion of -1 in z 0.118 * [taylor]: Taking taylor expansion of z in z 0.119 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.119 * [taylor]: Taking taylor expansion of -1 in z 0.119 * [taylor]: Taking taylor expansion of z in z 0.119 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.119 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.119 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.119 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.119 * [taylor]: Taking taylor expansion of -1 in z 0.119 * [taylor]: Taking taylor expansion of x in z 0.119 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.119 * [taylor]: Taking taylor expansion of -1 in z 0.119 * [taylor]: Taking taylor expansion of x in z 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.119 * [taylor]: Taking taylor expansion of y in z 0.122 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.122 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.122 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.122 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.122 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.122 * [taylor]: Taking taylor expansion of -1 in z 0.122 * [taylor]: Taking taylor expansion of z in z 0.123 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.123 * [taylor]: Taking taylor expansion of -1 in z 0.123 * [taylor]: Taking taylor expansion of z in z 0.123 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.123 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.123 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.123 * [taylor]: Taking taylor expansion of -1 in z 0.123 * [taylor]: Taking taylor expansion of x in z 0.123 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.123 * [taylor]: Taking taylor expansion of -1 in z 0.123 * [taylor]: Taking taylor expansion of x in z 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.123 * [taylor]: Taking taylor expansion of y in z 0.126 * [taylor]: Taking taylor expansion of 1 in x 0.127 * [taylor]: Taking taylor expansion of 0 in x 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.130 * [taylor]: Taking taylor expansion of 1/2 in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in x 0.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of 1/2 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x 0.146 * [taylor]: Taking taylor expansion of -1/2 in x 0.146 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of 1/2 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x 0.147 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x 0.147 * [taylor]: Taking taylor expansion of 1/4 in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x 0.148 * [taylor]: Taking taylor expansion of 1/4 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.162 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 3) 0.162 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.162 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.162 * [taylor]: Taking taylor expansion of (* x x) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.162 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.162 * [taylor]: Taking taylor expansion of (* x x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of x 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 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.162 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.162 * [taylor]: Taking taylor expansion of (* x x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.183 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.183 * [taylor]: Taking taylor expansion of -1 in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.183 * [taylor]: Taking taylor expansion of -1 in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.184 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.185 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * * * [progress]: simplifying candidates 0.198 * [simplify]: Simplifying using # : (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (* (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt 1) (sqrt (fma z z (fma x x (* y y)))) (/ 1 2) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) y z (* -1 z) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.200 * * [simplify]: iteration 0 : 39 enodes (cost 315 ) 0.205 * * [simplify]: iteration 1 : 55 enodes (cost 285 ) 0.212 * * [simplify]: iteration 2 : 108 enodes (cost 257 ) 0.231 * * [simplify]: iteration 3 : 250 enodes (cost 257 ) 0.323 * * [simplify]: iteration 4 : 800 enodes (cost 257 ) 0.764 * * [simplify]: iteration 5 : 3332 enodes (cost 257 ) 2.134 * * [simplify]: iteration done : 5000 enodes (cost 257 ) 2.134 * [simplify]: Simplified to: (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (pow (sqrt (fma z z (fma x x (* y y)))) 3) (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) 1 (sqrt (fma z z (fma x x (* y y)))) 1/2 (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) y z (- z) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.135 * * * [progress]: adding candidates to table 2.227 * * [progress]: iteration 2 / 4 2.227 * * * [progress]: picking best candidate 2.231 * * * * [pick]: Picked # 2.231 * * * [progress]: localizing error 2.232 * * * [progress]: generating rewritten candidates 2.232 * * * [progress]: generating series expansions 2.232 * * * [progress]: simplifying candidates 2.232 * [simplify]: Simplifying using # : 2.233 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.233 * * [simplify]: iteration done : 0 enodes (cost 0 ) 2.233 * [simplify]: Simplified to: 2.233 * * * [progress]: adding candidates to table 2.233 * * [progress]: iteration 3 / 4 2.233 * * * [progress]: picking best candidate 2.236 * * * * [pick]: Picked # 2.236 * * * [progress]: localizing error 2.238 * * * [progress]: generating rewritten candidates 2.238 * * * [progress]: generating series expansions 2.238 * * * [progress]: simplifying candidates 2.238 * [simplify]: Simplifying using # : 2.239 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.239 * * [simplify]: iteration done : 0 enodes (cost 0 ) 2.239 * [simplify]: Simplified to: 2.239 * * * [progress]: adding candidates to table 2.239 * * [progress]: iteration 4 / 4 2.239 * * * [progress]: picking best candidate 2.240 * * * * [pick]: Picked # 2.240 * * * [progress]: localizing error 2.241 * * * [progress]: generating rewritten candidates 2.241 * * * [progress]: generating series expansions 2.241 * * * [progress]: simplifying candidates 2.241 * [simplify]: Simplifying using # : 2.242 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.242 * * [simplify]: iteration done : 0 enodes (cost 0 ) 2.242 * [simplify]: Simplified to: 2.242 * * * [progress]: adding candidates to table 2.242 * [progress]: [Phase 3 of 3] Extracting. 2.242 * * [regime]: Finding splitpoints for: (# # # #) 2.243 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) z y x) 2.243 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 2.261 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.279 * * * * [regimes]: Trying to branch on z from (# # # #) 2.306 * * * * [regimes]: Trying to branch on y from (# # # #) 2.326 * * * * [regimes]: Trying to branch on x from (# # # #) 2.353 * * * [regime]: Found split indices: #