20.596 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (- (* x x) (* (* y 4.0) z)) 0.023 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.024 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.025 * * [simplify]: iteration 2 : 64 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 79 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 79 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (- (* x x) (* (* y 4.0) z)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in (x y z) around 0 0.042 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in z 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.042 * [taylor]: Taking taylor expansion of x in z 0.042 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.042 * [taylor]: Taking taylor expansion of 4.0 in z 0.042 * [taylor]: Taking taylor expansion of (* z y) in z 0.042 * [taylor]: Taking taylor expansion of z in z 0.042 * [taylor]: Taking taylor expansion of y in z 0.042 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.042 * [taylor]: Taking taylor expansion of 4.0 in y 0.042 * [taylor]: Taking taylor expansion of (* z y) in y 0.042 * [taylor]: Taking taylor expansion of z in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.042 * [taylor]: Taking taylor expansion of 4.0 in x 0.042 * [taylor]: Taking taylor expansion of (* z y) in x 0.042 * [taylor]: Taking taylor expansion of z in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.043 * [taylor]: Taking taylor expansion of 4.0 in x 0.043 * [taylor]: Taking taylor expansion of (* z y) in x 0.043 * [taylor]: Taking taylor expansion of z in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.043 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.043 * [taylor]: Taking taylor expansion of 4.0 in y 0.043 * [taylor]: Taking taylor expansion of (* z y) in y 0.043 * [taylor]: Taking taylor expansion of z in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in z 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.045 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.045 * [taylor]: Taking taylor expansion of 4.0 in z 0.045 * [taylor]: Taking taylor expansion of z in z 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 1 in z 0.047 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.053 * [taylor]: Taking taylor expansion of 0 in z 0.054 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.054 * [taylor]: Taking taylor expansion of x in z 0.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.054 * [taylor]: Taking taylor expansion of 4.0 in z 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.054 * [taylor]: Taking taylor expansion of (* z y) in z 0.054 * [taylor]: Taking taylor expansion of z in z 0.054 * [taylor]: Taking taylor expansion of y in z 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.054 * [taylor]: Taking taylor expansion of 4.0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.054 * [taylor]: Taking taylor expansion of (* z y) in y 0.054 * [taylor]: Taking taylor expansion of z in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (* 4.0 (/ 1 (* z y))) in x 0.055 * [taylor]: Taking taylor expansion of 4.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.055 * [taylor]: Taking taylor expansion of (* z y) in x 0.055 * [taylor]: Taking taylor expansion of z in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.056 * [taylor]: Taking taylor expansion of 4.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.056 * [taylor]: Taking taylor expansion of (* z y) in x 0.056 * [taylor]: Taking taylor expansion of z in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 1 in z 0.059 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.059 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.059 * [taylor]: Taking taylor expansion of 4.0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.059 * [taylor]: Taking taylor expansion of (* z y) in y 0.059 * [taylor]: Taking taylor expansion of z in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.059 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.059 * [taylor]: Taking taylor expansion of 4.0 in z 0.059 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.059 * [taylor]: Taking taylor expansion of z in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in z 0.063 * [taylor]: Taking taylor expansion of 0 in z 0.063 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.073 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.073 * [taylor]: Taking taylor expansion of x in z 0.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.073 * [taylor]: Taking taylor expansion of 4.0 in z 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.073 * [taylor]: Taking taylor expansion of (* z y) in z 0.073 * [taylor]: Taking taylor expansion of z in z 0.073 * [taylor]: Taking taylor expansion of y in z 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.073 * [taylor]: Taking taylor expansion of 4.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.073 * [taylor]: Taking taylor expansion of (* z y) in y 0.073 * [taylor]: Taking taylor expansion of z in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.074 * [taylor]: Taking taylor expansion of 4.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.074 * [taylor]: Taking taylor expansion of (* z y) in x 0.074 * [taylor]: Taking taylor expansion of z in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.075 * [taylor]: Taking taylor expansion of 4.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.075 * [taylor]: Taking taylor expansion of (* z y) in x 0.075 * [taylor]: Taking taylor expansion of z in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 1 in z 0.078 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.078 * [taylor]: Taking taylor expansion of 4.0 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.078 * [taylor]: Taking taylor expansion of (* z y) in y 0.078 * [taylor]: Taking taylor expansion of z in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.078 * [taylor]: Taking taylor expansion of 4.0 in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.078 * [taylor]: Taking taylor expansion of z in z 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.087 * [taylor]: Taking taylor expansion of 0 in z 0.087 * [taylor]: Taking taylor expansion of 0 in z 0.087 * [taylor]: Taking taylor expansion of 0 in z 0.088 * * * [progress]: simplifying candidates 0.088 * [simplify]: Simplifying using # : (fma x x (- (* z (* y 4.0)))) (fma (- z) (* y 4.0) (* z (* y 4.0))) (fma x x (- (* (* 4.0 z) y))) (fma (- (* 4.0 z)) y (* (* 4.0 z) y)) (fma x x (- (* (* y z) 4.0))) (fma (- (* y z)) 4.0 (* (* y z) 4.0)) (fma x x (- (* (* y 4.0) z))) (fma (- (* y 4.0)) z (* (* y 4.0) z)) (fma x x (- (* z (* y 4.0)))) (fma (- z) (* y 4.0) (* z (* y 4.0))) (fma x x (- (* (* 4.0 z) y))) (fma (- (* 4.0 z)) y (* (* 4.0 z) y)) (fma x x (- (* (* y z) 4.0))) (fma (- (* y z)) 4.0 (* (* y z) 4.0)) (fma x x (- (* (* y 4.0) z))) (fma (- (* y 4.0)) z (* (* y 4.0) z)) (- (* (* y 4.0) z)) (- (* (* y 4.0) z)) (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z)))) (- (* (* y 4.0) z)) (- (* (* x x) (* x x)) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)) (- (* (* y 4.0) z)) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) 0.091 * * [simplify]: iteration 0 : 119 enodes (cost 124 ) 0.094 * * [simplify]: iteration 1 : 439 enodes (cost 114 ) 0.103 * * [simplify]: iteration 2 : 1861 enodes (cost 111 ) 0.145 * * [simplify]: iteration 3 : 5001 enodes (cost 79 ) 0.146 * [simplify]: Simplified to: (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (fma x x (- (* (* 4.0 z) y))) 0 (- (* (* 4.0 z) y)) (- (* (* 4.0 z) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (fma y (* (* 4.0 z) (fma x x (* (* y 4.0) z))) (pow x 4)) (- (* (* 4.0 z) y)) (fma (- (* (* y 4.0) (* y 4.0))) (* z z) (pow x 4)) (fma x x (* (* y 4.0) z)) (- (* (* 4.0 z) y)) (fma x x (- (* (* 4.0 z) y))) (fma x x (- (* (* 4.0 z) y))) (fma x x (- (* (* 4.0 z) y))) 0.146 * * * [progress]: adding candidates to table 0.159 * * [progress]: iteration 2 / 4 0.159 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.167 * * * [progress]: generating rewritten candidates 0.167 * * * [progress]: generating series expansions 0.167 * * * [progress]: simplifying candidates 0.167 * [simplify]: Simplifying using # : 0.169 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.169 * [simplify]: Simplified to: 0.169 * * * [progress]: adding candidates to table 0.169 * [progress]: [Phase 3 of 3] Extracting. 0.171 * [simplify]: Simplifying using # : (fma x x (- (* (* 4.0 z) y))) 0.172 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.172 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.172 * * [simplify]: iteration 2 : 22 enodes (cost 4 ) 0.172 * [simplify]: Simplified to: (fma x x (- (* (* 4.0 z) y))) 0.772 * [regime-testing]: End program error score: 0.03600450056257032