52.179 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 0.032 * * [simplify]: iteration 0 : 24 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 46 enodes (cost 6 ) 0.035 * * [simplify]: iteration 2 : 73 enodes (cost 6 ) 0.036 * * [simplify]: iteration 3 : 99 enodes (cost 6 ) 0.038 * * [simplify]: iteration 4 : 119 enodes (cost 6 ) 0.040 * * [simplify]: iteration 5 : 145 enodes (cost 6 ) 0.042 * * [simplify]: iteration 6 : 178 enodes (cost 6 ) 0.044 * * [simplify]: iteration 7 : 253 enodes (cost 6 ) 0.048 * * [simplify]: iteration 8 : 333 enodes (cost 6 ) 0.052 * * [simplify]: iteration 9 : 467 enodes (cost 6 ) 0.055 * * [simplify]: iteration 10 : 467 enodes (cost 6 ) 0.055 * [simplify]: Simplified to: (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.084 * [approximate]: Approximating (- (* 0.125 x) (* 0.5 (* z y))) in (x y z) around 0 0.085 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in y 0.085 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.088 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in y 0.088 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.088 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.091 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in y 0.091 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.091 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.093 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (* 0.5 (* z y))) in z 0.093 * [approximate]: Approximating (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in (x y z) around 0 0.096 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in y 0.097 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in y 0.097 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.099 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.101 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in y 0.102 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.102 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.106 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in y 0.107 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.108 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.108 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.113 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in y 0.114 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.114 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.116 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.116 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 x)) (* 0.5 (/ 1 (* z y)))) in z 0.117 * [approximate]: Approximating (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in (x y z) around 0 0.119 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in y 0.120 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in y 0.121 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.122 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.125 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in y 0.126 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.126 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.131 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in y 0.131 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.136 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.136 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.141 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in y 0.142 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.142 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.144 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.144 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (/ 1 (* z y))) (* 0.125 (/ 1 x)))) in z 0.145 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.145 * [approximate]: Approximating (* 0.5 (* z y)) in (y z) around 0 0.145 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.146 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.148 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.150 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.153 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.153 * [approximate]: Approximating (/ 0.5 (* z y)) in (y z) around 0 0.154 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.155 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.156 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.158 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.158 * [approximate]: Approximating (/ 0.5 (* z y)) in (y z) around 0 0.160 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.161 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.162 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.163 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.164 * * * [progress]: simplifying candidates 0.165 * [simplify]: Simplifying using # : (/ (exp (* (/ 1.0 8.0) x)) (exp (/ (* y z) 2.0))) (log (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (exp (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* (* (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))) (* 8.0 2.0) (- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3)) (+ (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (+ (* (/ (* y z) 2.0) (/ (* y z) 2.0)) (* (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (neg (/ (* y z) 2.0)) (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (neg (/ (* y z) 2.0)) (- (+ (log y) (log z)) (log 2.0)) (- (log (* y z)) (log 2.0)) (log (/ (* y z) 2.0)) (exp (/ (* y z) 2.0)) (/ (* (* (* y y) y) (* (* z z) z)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* y z) (* y z)) (* y z)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* y z) 2.0)) (cbrt (/ (* y z) 2.0))) (cbrt (/ (* y z) 2.0)) (* (* (/ (* y z) 2.0) (/ (* y z) 2.0)) (/ (* y z) 2.0)) (sqrt (/ (* y z) 2.0)) (sqrt (/ (* y z) 2.0)) (neg (* y z)) (neg 2.0) (/ y (* (cbrt 2.0) (cbrt 2.0))) (/ z (cbrt 2.0)) (/ y (sqrt 2.0)) (/ z (sqrt 2.0)) (/ y 1) (/ z 2.0) (/ 1 2.0) (/ 2.0 (* y z)) (/ (* y z) (* (cbrt 2.0) (cbrt 2.0))) (/ (* y z) (sqrt 2.0)) (/ (* y z) 1) (/ 2.0 z) (* 0.125 x) (- (* 0.125 x) (* 0.5 (* z y))) (- (* 0.125 x) (* 0.5 (* z y))) (* 0.5 (* z y)) (* 0.5 (* z y)) (* 0.5 (* z y)) 0.168 * * [simplify]: iteration 0 : 207 enodes (cost 204 ) 0.172 * * [simplify]: iteration 1 : 856 enodes (cost 183 ) 0.187 * * [simplify]: iteration 2 : 4232 enodes (cost 183 ) 0.253 * * [simplify]: iteration 3 : 5002 enodes (cost 183 ) 0.255 * [simplify]: Simplified to: (exp (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (log (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (exp (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (pow (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) 3) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (- (* (* 1.0 x) 2.0) (* 8.0 (* y z))) (* 8.0 2.0) (- (pow (* (/ 1.0 8.0) x) 3) (pow (/ (* y z) 2.0) 3)) (+ (* (/ (* y z) 2.0) (+ (/ (* y z) 2.0) (* (/ 1.0 8.0) x))) (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x))) (neg (/ (* y z) 2.0)) (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) (neg (/ (* y z) 2.0)) (log (/ (* y z) 2.0)) (log (/ (* y z) 2.0)) (log (/ (* y z) 2.0)) (exp (/ (* y z) 2.0)) (pow (/ (* y z) 2.0) 3) (pow (/ (* y z) 2.0) 3) (* (cbrt (/ (* y z) 2.0)) (cbrt (/ (* y z) 2.0))) (cbrt (/ (* y z) 2.0)) (pow (/ (* y z) 2.0) 3) (sqrt (/ (* y z) 2.0)) (sqrt (/ (* y z) 2.0)) (neg (* y z)) (neg 2.0) (/ y (* (cbrt 2.0) (cbrt 2.0))) (/ z (cbrt 2.0)) (/ y (sqrt 2.0)) (/ z (sqrt 2.0)) y (/ z 2.0) (/ 1 2.0) (/ 2.0 (* y z)) (/ (* y z) (* (cbrt 2.0) (cbrt 2.0))) (/ (* y z) (sqrt 2.0)) (* y z) (/ 2.0 z) (* 0.125 x) (- (* 0.125 x) (* 0.5 (* z y))) (- (* 0.125 x) (* 0.5 (* z y))) (* 0.5 (* z y)) (* 0.5 (* z y)) (* 0.5 (* z y)) 0.255 * * * [progress]: adding candidates to table 0.355 * [progress]: [Phase 3 of 3] Extracting. 0.359 * [simplify]: Simplifying using # : (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 0.359 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.360 * * [simplify]: iteration 1 : 16 enodes (cost 6 ) 0.360 * [simplify]: Simplified to: (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)