1.297 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 0.033 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.034 * * [simplify]: iteration 1 : 59 enodes (cost 6 ) 0.036 * * [simplify]: iteration 2 : 111 enodes (cost 6 ) 0.039 * * [simplify]: iteration 3 : 204 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 369 enodes (cost 6 ) 0.047 * * [simplify]: iteration 5 : 839 enodes (cost 6 ) 0.060 * * [simplify]: iteration 6 : 2168 enodes (cost 6 ) 0.089 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.089 * [simplify]: Simplified to: (/ (/ (fma x x (- (* y y) (* z z))) 2.0) y) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.125 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.132 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in (x y z) around 0 0.132 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.132 * [taylor]: Taking taylor expansion of 0.5 in z 0.132 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in z 0.132 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.132 * [taylor]: Taking taylor expansion of x in z 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.132 * [taylor]: Taking taylor expansion of y in z 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.132 * [taylor]: Taking taylor expansion of z in z 0.132 * [taylor]: Taking taylor expansion of y in z 0.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in y 0.133 * [taylor]: Taking taylor expansion of 0.5 in y 0.133 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in y 0.133 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.133 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in x 0.133 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.133 * [taylor]: Taking taylor expansion of z in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in x 0.134 * [taylor]: Taking taylor expansion of 0.5 in x 0.134 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in x 0.134 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y 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 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (pow y 2) (pow z 2)) y)) in y 0.135 * [taylor]: Taking taylor expansion of 0.5 in y 0.135 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow z 2)) y) in y 0.135 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.135 * [taylor]: Taking taylor expansion of z in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (* -0.5 (pow z 2)) in z 0.135 * [taylor]: Taking taylor expansion of -0.5 in z 0.135 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.135 * [taylor]: Taking taylor expansion of z in z 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of 0.5 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0.5 in z 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0.5 in z 0.147 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in (x y z) around 0 0.147 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.147 * [taylor]: Taking taylor expansion of 0.5 in z 0.147 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in z 0.147 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.147 * [taylor]: Taking taylor expansion of x in z 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.148 * [taylor]: Taking taylor expansion of y in z 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.148 * [taylor]: Taking taylor expansion of z in z 0.148 * [taylor]: Taking taylor expansion of y in z 0.148 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.148 * [taylor]: Taking taylor expansion of 0.5 in y 0.148 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in y 0.149 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.150 * [taylor]: Taking taylor expansion of 0.5 in x 0.150 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.150 * [taylor]: Taking taylor expansion of z in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.150 * [taylor]: Taking taylor expansion of 0.5 in x 0.150 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.151 * [taylor]: Taking taylor expansion of z in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.152 * [taylor]: Taking taylor expansion of 0.5 in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ y (pow z 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.157 * [taylor]: Taking taylor expansion of 0.5 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ y (pow z 2))) in y 0.157 * [taylor]: Taking taylor expansion of 0.5 in y 0.157 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.157 * [taylor]: Taking taylor expansion of z in y 0.158 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0.5 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0.5 in z 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in z 0.169 * [taylor]: Taking taylor expansion of 0 in z 0.169 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow z 2)))) in z 0.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow z 2))) in z 0.177 * [taylor]: Taking taylor expansion of 0.5 in z 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [approximate]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in (x y z) around 0 0.180 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.180 * [taylor]: Taking taylor expansion of -0.5 in z 0.180 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in z 0.180 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.180 * [taylor]: Taking taylor expansion of x in z 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.180 * [taylor]: Taking taylor expansion of y in z 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.180 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of y in z 0.181 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.181 * [taylor]: Taking taylor expansion of -0.5 in y 0.181 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in y 0.181 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.182 * [taylor]: Taking taylor expansion of -0.5 in x 0.182 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.182 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.183 * [taylor]: Taking taylor expansion of z in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.183 * [taylor]: Taking taylor expansion of -0.5 in x 0.183 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.183 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.184 * [taylor]: Taking taylor expansion of z in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.184 * [taylor]: Taking taylor expansion of -0.5 in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ y (pow z 2))) (* 0.5 (/ 1 y))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y (pow z 2))) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.189 * [taylor]: Taking taylor expansion of z in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.195 * [taylor]: Taking taylor expansion of 0.5 in z 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.196 * [taylor]: Taking taylor expansion of 0.5 in z 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow z 2))) in z 0.215 * [taylor]: Taking taylor expansion of 0.5 in z 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.219 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.219 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in (x y z) around 0 0.219 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.219 * [taylor]: Taking taylor expansion of x in z 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.219 * [taylor]: Taking taylor expansion of y in z 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.219 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.219 * [taylor]: Taking taylor expansion of z in y 0.219 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.220 * [taylor]: Taking taylor expansion of z in y 0.220 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.220 * [taylor]: Taking taylor expansion of z in z 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [taylor]: Taking taylor expansion of 1 in z 0.224 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.226 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.226 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.226 * [taylor]: Taking taylor expansion of x in z 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.226 * [taylor]: Taking taylor expansion of y in z 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.227 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.228 * [taylor]: Taking taylor expansion of z in y 0.228 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.229 * [taylor]: Taking taylor expansion of z in x 0.229 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.230 * [taylor]: Taking taylor expansion of z in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.234 * [taylor]: Taking taylor expansion of z in y 0.234 * [taylor]: Taking taylor expansion of 1 in z 0.234 * [taylor]: Taking taylor expansion of 1 in z 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.244 * [taylor]: Taking taylor expansion of x in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.244 * [taylor]: Taking taylor expansion of y in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.244 * [taylor]: Taking taylor expansion of z in z 0.245 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.246 * [taylor]: Taking taylor expansion of z in y 0.246 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.248 * [taylor]: Taking taylor expansion of z in x 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.252 * [taylor]: Taking taylor expansion of z in y 0.252 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [taylor]: Taking taylor expansion of 1 in z 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.260 * [taylor]: Taking taylor expansion of z in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.262 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of 1 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.291 * * * [progress]: simplifying candidates 0.292 * [simplify]: Simplifying using # : (expm1 (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log1p (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (- (log (- (+ (* x x) (* y y)) (* z z))) (+ (log y) (log 2.0))) (- (log (- (+ (* x x) (* y y)) (* z z))) (log (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (exp (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (/ (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (/ (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (* (* (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (- (- (+ (* x x) (* y y)) (* z z))) (- (* y 2.0)) (/ (+ (* x x) (* y y)) (* y 2.0)) (/ (* z z) (* y 2.0)) (/ (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) y) (/ (cbrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) y) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ 1 y) (/ (- (+ (* x x) (* y y)) (* z z)) 2.0) (/ (+ (sqrt (+ (* x x) (* y y))) z) y) (/ (- (sqrt (+ (* x x) (* y y))) z) 2.0) (/ 1 (* y 2.0)) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (- (+ (* x x) (* y y)) (* z z)) y) (/ (* y 2.0) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (- (+ (* x x) (* y y)) (* z z))) (/ (* y 2.0) (- (sqrt (+ (* x x) (* y y))) z)) (* (* y 2.0) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* (* y 2.0) (+ (+ (* x x) (* y y)) (* z z))) (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (- (* z z))) (fma (- z) z (* z z)) (fma (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (- (* z z))) (fma (- z) z (* z z)) (fma 1 (+ (* x x) (* y y)) (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (+ (* x x) (* y y)) (* z z))) (log1p (- (+ (* x x) (* y y)) (* z z))) (- (* z z)) (- (* z z)) (- (* z z)) (/ (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (/ (exp (+ (* x x) (* y y))) (exp (* z z))) (log (- (+ (* x x) (* y y)) (* z z))) (exp (- (+ (* x x) (* y y)) (* z z))) (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (cbrt (- (+ (* x x) (* y y)) (* z z))) (* (* (- (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z))) (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (- (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* z z)) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (+ (+ (* x x) (* y y)) (* z z)) (+ (sqrt (+ (* x x) (* y y))) z) (- (sqrt (+ (* x x) (* y y))) z) (- (* y y) (* z z)) (- (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (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)) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (* 0.5 y) (* 0.5 (/ (pow x 2) y))) (* 0.5 (/ (pow z 2) y))) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (- (+ (pow x 2) (pow y 2)) (pow z 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.299 * * [simplify]: iteration 0 : 365 enodes (cost 571 ) 0.308 * * [simplify]: iteration 1 : 1599 enodes (cost 486 ) 0.333 * * [simplify]: iteration 2 : 5002 enodes (cost 469 ) 0.337 * [simplify]: Simplified to: (expm1 (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log1p (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (log (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (exp (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (pow (/ (/ (fma x x (- (* y y) (* z z))) 2.0) y) 3) (pow (/ (/ (fma x x (- (* y y) (* z z))) 2.0) y) 3) (* (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)))) (cbrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (pow (/ (/ (fma x x (- (* y y) (* z z))) 2.0) y) 3) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (sqrt (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))) (+ (- (fma x x (* y y))) (pow z 2)) (- (* y 2.0)) (/ (/ (fma x x (* y y)) y) 2.0) (/ (* z z) (* y 2.0)) (/ (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) y) (/ (cbrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) y) (/ (sqrt (- (+ (* x x) (* y y)) (* z z))) 2.0) (/ 1 y) (/ (fma x x (- (* y y) (* z z))) 2.0) (/ (+ (sqrt (+ (* x x) (* y y))) z) y) (- (/ (hypot x y) 2.0) (/ z 2.0)) (/ 1 (* y 2.0)) (/ 2.0 (/ (fma x x (- (* y y) (* z z))) y)) (/ (fma x x (- (* y y) (* z z))) y) (/ (* y 2.0) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (/ (* y 2.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (/ 2.0 (/ (fma x x (- (* y y) (* z z))) y)) (/ y (- (/ (hypot x y) 2.0) (/ z 2.0))) (* y (+ (* (* (fma x x (* y y)) (fma z z (fma x x (* y y)))) 2.0) (* (pow z 4) 2.0))) (* (* (fma z z (fma x x (* y y))) 2.0) y) (fma (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (- (* z z))) (fma (- z) z (* z z)) (fma x x (- (* y y) (* z z))) (fma (- z) z (* z z)) (fma x x (- (* y y) (* z z))) (fma (- z) z (* z z)) (expm1 (- (+ (* x x) (* y y)) (* z z))) (log1p (- (+ (* x x) (* y y)) (* z z))) (- (* z z)) (- (* z z)) (- (* z z)) (exp (- (fma x x (* y y)) (pow z 2))) (exp (- (fma x x (* y y)) (pow z 2))) (log (fma x x (- (* y y) (* z z)))) (exp (- (fma x x (* y y)) (pow z 2))) (* (cbrt (- (+ (* x x) (* y y)) (* z z))) (cbrt (- (+ (* x x) (* y y)) (* z z)))) (cbrt (- (+ (* x x) (* y y)) (* z z))) (pow (fma x x (- (* y y) (* z z))) 3) (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (- (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (fma x x (* y y)) (fma z z (fma x x (* y y)))) (pow z 4)) (- (* z z)) (* (fma x x (- (* y y) (* z z))) (fma z z (fma x x (* y y)))) (fma z z (fma x x (* y y))) (+ z (hypot x y)) (- (hypot x y) z) (- (* y y) (* z z)) (- (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (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 (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (pow y 3) (pow y 3) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* 0.5 (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (fma x x (- (* y y) (* z z))) (fma x x (- (* y y) (* z z))) (fma x x (- (* y y) (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.337 * * * [progress]: adding candidates to table 0.513 * * [progress]: iteration 2 / 4 0.513 * * * [progress]: picking best candidate 0.521 * * * * [pick]: Picked # 0.521 * * * [progress]: localizing error 0.532 * * * [progress]: generating rewritten candidates 0.533 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.538 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.547 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.547 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.547 * [taylor]: Taking taylor expansion of z in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.547 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.547 * [taylor]: Taking taylor expansion of z in z 0.547 * [taylor]: Taking taylor expansion of y in z 0.547 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.548 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.548 * [taylor]: Taking taylor expansion of z in z 0.548 * [taylor]: Taking taylor expansion of y in z 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 0.556 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.557 * [taylor]: Taking taylor expansion of z in y 0.557 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.557 * [taylor]: Taking taylor expansion of y in z 0.557 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.557 * [taylor]: Taking taylor expansion of z in z 0.557 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.557 * [taylor]: Taking taylor expansion of y in z 0.557 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.557 * [taylor]: Taking taylor expansion of z in z 0.557 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 0.562 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.562 * [taylor]: Taking taylor expansion of -1 in y 0.562 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.562 * [taylor]: Taking taylor expansion of z in y 0.562 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.562 * [taylor]: Taking taylor expansion of -1 in z 0.562 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.562 * [taylor]: Taking taylor expansion of y in z 0.562 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.562 * [taylor]: Taking taylor expansion of z in z 0.562 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.562 * [taylor]: Taking taylor expansion of -1 in z 0.562 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.563 * [taylor]: Taking taylor expansion of y in z 0.563 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.563 * [taylor]: Taking taylor expansion of z in z 0.563 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.563 * [taylor]: Taking taylor expansion of -1 in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.570 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.581 * [taylor]: Taking taylor expansion of -1 in y 0.581 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 0.581 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.582 * [taylor]: Taking taylor expansion of -1 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * * * [progress]: simplifying candidates 0.591 * [simplify]: Simplifying using # : (expm1 (/ (pow z 2) y)) (log1p (/ (pow z 2) y)) (- (* (log z) 2) (log y)) (- (* (log z) 2) (log y)) (- (log (pow z 2)) (log y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (/ (* (* (pow z 2) (pow z 2)) (pow z 2)) (* (* y y) y)) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (* (* (/ (pow z 2) y) (/ (pow z 2) y)) (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (- (pow z 2)) (- y) (/ (pow (* (cbrt z) (cbrt z)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) (sqrt y)) (/ (pow (cbrt z) 2) (sqrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) 1) (/ (pow (cbrt z) 2) y) (/ (pow (sqrt z) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt z) 2) (cbrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) 1) (/ (pow (sqrt z) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow z 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) (/ z 1) (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) 1) (/ (cbrt (pow z 2)) y) (/ (sqrt (pow z 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow z 2)) (cbrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) 1) (/ (sqrt (pow z 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) (/ 1 1) (/ (pow z 2) y) (/ (pow z (/ 2 2)) (* (cbrt y) (cbrt y))) (/ (pow z (/ 2 2)) (cbrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) 1) (/ (pow z (/ 2 2)) y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (/ (pow z 2) 1) (/ y (pow (cbrt z) 2)) (/ y (pow (sqrt z) 2)) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (sqrt (pow z 2))) (/ y (pow z 2)) (/ y (pow z (/ 2 2))) (expm1 (/ (pow x 2) y)) (log1p (/ (pow x 2) y)) (- (* (log x) 2) (log y)) (- (* (log x) 2) (log y)) (- (log (pow x 2)) (log y)) (log (/ (pow x 2) y)) (exp (/ (pow x 2) y)) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* y y) y)) (* (cbrt (/ (pow x 2) y)) (cbrt (/ (pow x 2) y))) (cbrt (/ (pow x 2) y)) (* (* (/ (pow x 2) y) (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (- (pow x 2)) (- y) (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt x) 2) (cbrt y)) (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt y)) (/ (pow (cbrt x) 2) (sqrt y)) (/ (pow (* (cbrt x) (cbrt x)) 2) 1) (/ (pow (cbrt x) 2) y) (/ (pow (sqrt x) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt x) 2) (cbrt y)) (/ (pow (sqrt x) 2) (sqrt y)) (/ (pow (sqrt x) 2) (sqrt y)) (/ (pow (sqrt x) 2) 1) (/ (pow (sqrt x) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow x 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) (/ x 1) (/ x y) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow x 2)) (cbrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt y)) (/ (cbrt (pow x 2)) (sqrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1) (/ (cbrt (pow x 2)) y) (/ (sqrt (pow x 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow x 2)) (cbrt y)) (/ (sqrt (pow x 2)) (sqrt y)) (/ (sqrt (pow x 2)) (sqrt y)) (/ (sqrt (pow x 2)) 1) (/ (sqrt (pow x 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) (/ 1 1) (/ (pow x 2) y) (/ (pow x (/ 2 2)) (* (cbrt y) (cbrt y))) (/ (pow x (/ 2 2)) (cbrt y)) (/ (pow x (/ 2 2)) (sqrt y)) (/ (pow x (/ 2 2)) (sqrt y)) (/ (pow x (/ 2 2)) 1) (/ (pow x (/ 2 2)) y) (/ 1 y) (/ y (pow x 2)) (/ (pow x 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (sqrt y)) (/ (pow x 2) 1) (/ y (pow (cbrt x) 2)) (/ y (pow (sqrt x) 2)) (/ y (pow x 2)) (/ y x) (/ y (cbrt (pow x 2))) (/ y (sqrt (pow x 2))) (/ y (pow x 2)) (/ y (pow x (/ 2 2))) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) 0.598 * * [simplify]: iteration 0 : 276 enodes (cost 494 ) 0.604 * * [simplify]: iteration 1 : 970 enodes (cost 434 ) 0.627 * * [simplify]: iteration 2 : 5002 enodes (cost 427 ) 0.631 * [simplify]: Simplified to: (expm1 (/ (pow z 2) y)) (log1p (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (- (pow z 2)) (- y) (/ (pow (cbrt z) 4) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (cbrt z) 4) (* (sqrt y) 1)) (/ (pow (cbrt z) 2) (sqrt y)) (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (* (cbrt (pow z 2)) (cbrt (pow z 2))) (/ (cbrt (pow z 2)) y) (/ (/ (fabs z) (cbrt y)) (cbrt y)) (/ (fabs z) (cbrt y)) (/ (fabs z) (sqrt y)) (/ (fabs z) (sqrt y)) (fabs z) (/ (fabs z) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (pow z 2) (/ y (pow (cbrt z) 2)) (/ y z) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (fabs z)) (/ y (pow z 2)) (/ y z) (expm1 (/ (pow x 2) y)) (log1p (/ (pow x 2) y)) (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (log (/ (pow x 2) y)) (exp (/ (pow x 2) y)) (pow (/ (pow x 2) y) 3) (* (cbrt (/ (pow x 2) y)) (cbrt (/ (pow x 2) y))) (cbrt (/ (pow x 2) y)) (pow (/ (pow x 2) y) 3) (sqrt (/ (pow x 2) y)) (sqrt (/ (pow x 2) y)) (- (pow x 2)) (- y) (/ (pow (cbrt x) 4) (* (* (cbrt y) (cbrt y)) 1)) (/ (pow (cbrt x) 2) (cbrt y)) (/ (pow (cbrt x) 4) (* (sqrt y) 1)) (/ (pow (cbrt x) 2) (sqrt y)) (pow (cbrt x) 4) (/ (pow (cbrt x) 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) 1 (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow x 2)) (cbrt y)) (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt y)) (/ (cbrt (pow x 2)) (sqrt y)) (* (cbrt (pow x 2)) (cbrt (pow x 2))) (/ (cbrt (pow x 2)) y) (/ (/ (fabs x) (cbrt y)) (cbrt y)) (/ (fabs x) (cbrt y)) (/ (fabs x) (sqrt y)) (/ (fabs x) (sqrt y)) (fabs x) (/ (fabs x) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow x 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow x 2) (sqrt y)) 1 (/ (pow x 2) y) (/ x (* (cbrt y) (cbrt y))) (/ x (cbrt y)) (/ x (sqrt y)) (/ x (sqrt y)) x (/ x y) (/ 1 y) (/ y (pow x 2)) (/ (pow x 2) (* (cbrt y) (cbrt y))) (/ (pow x 2) (sqrt y)) (pow x 2) (/ y (pow (cbrt x) 2)) (/ y x) (/ y (pow x 2)) (/ y x) (/ y (cbrt (pow x 2))) (/ y (fabs x)) (/ y (pow x 2)) (/ y x) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) 0.632 * * * [progress]: adding candidates to table 0.872 * * [progress]: iteration 3 / 4 0.872 * * * [progress]: picking best candidate 0.880 * * * * [pick]: Picked # 0.880 * * * [progress]: localizing error 0.890 * * * [progress]: generating rewritten candidates 0.890 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.895 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.905 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 0.905 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.905 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.905 * [taylor]: Taking taylor expansion of z in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.905 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.905 * [taylor]: Taking taylor expansion of z in z 0.905 * [taylor]: Taking taylor expansion of y in z 0.906 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.906 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.906 * [taylor]: Taking taylor expansion of z in z 0.906 * [taylor]: Taking taylor expansion of y in z 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 0.910 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.910 * [taylor]: Taking taylor expansion of z in y 0.910 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.910 * [taylor]: Taking taylor expansion of y in z 0.910 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.910 * [taylor]: Taking taylor expansion of z in z 0.911 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.911 * [taylor]: Taking taylor expansion of y in z 0.911 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.911 * [taylor]: Taking taylor expansion of z in z 0.911 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 0.915 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.915 * [taylor]: Taking taylor expansion of -1 in y 0.915 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.915 * [taylor]: Taking taylor expansion of z in y 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.916 * [taylor]: Taking taylor expansion of -1 in z 0.916 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.916 * [taylor]: Taking taylor expansion of y in z 0.916 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.916 * [taylor]: Taking taylor expansion of z in z 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.916 * [taylor]: Taking taylor expansion of -1 in z 0.916 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.916 * [taylor]: Taking taylor expansion of y in z 0.916 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.916 * [taylor]: Taking taylor expansion of z in z 0.916 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.916 * [taylor]: Taking taylor expansion of -1 in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.924 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 0.929 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 0.934 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.934 * [taylor]: Taking taylor expansion of -1 in y 0.934 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 0.935 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 0.935 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.935 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (expm1 (/ (pow z 2) y)) (log1p (/ (pow z 2) y)) (- (* (log z) 2) (log y)) (- (* (log z) 2) (log y)) (- (log (pow z 2)) (log y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (/ (* (* (pow z 2) (pow z 2)) (pow z 2)) (* (* y y) y)) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (* (* (/ (pow z 2) y) (/ (pow z 2) y)) (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (- (pow z 2)) (- y) (/ (pow (* (cbrt z) (cbrt z)) 2) (* (cbrt y) (cbrt y))) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) (sqrt y)) (/ (pow (cbrt z) 2) (sqrt y)) (/ (pow (* (cbrt z) (cbrt z)) 2) 1) (/ (pow (cbrt z) 2) y) (/ (pow (sqrt z) 2) (* (cbrt y) (cbrt y))) (/ (pow (sqrt z) 2) (cbrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) (sqrt y)) (/ (pow (sqrt z) 2) 1) (/ (pow (sqrt z) 2) y) (/ (pow 1 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ (pow 1 2) (sqrt y)) (/ (pow z 2) (sqrt y)) (/ (pow 1 2) 1) (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) (/ z 1) (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) 1) (/ (cbrt (pow z 2)) y) (/ (sqrt (pow z 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (pow z 2)) (cbrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) (sqrt y)) (/ (sqrt (pow z 2)) 1) (/ (sqrt (pow z 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) (/ 1 1) (/ (pow z 2) y) (/ (pow z (/ 2 2)) (* (cbrt y) (cbrt y))) (/ (pow z (/ 2 2)) (cbrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) (sqrt y)) (/ (pow z (/ 2 2)) 1) (/ (pow z (/ 2 2)) y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (/ (pow z 2) 1) (/ y (pow (cbrt z) 2)) (/ y (pow (sqrt z) 2)) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (sqrt (pow z 2))) (/ y (pow z 2)) (/ y (pow z (/ 2 2))) (expm1 (* x (/ x y))) (log1p (* x (/ x y))) (* x (/ x y)) (+ (log x) (- (log x) (log y))) (+ (log x) (log (/ x y))) (log (* x (/ x y))) (exp (* x (/ x y))) (* (* (* x x) x) (/ (* (* x x) x) (* (* y y) y))) (* (* (* x x) x) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* x (/ x y))) (cbrt (* x (/ x y)))) (cbrt (* x (/ x y))) (* (* (* x (/ x y)) (* x (/ x y))) (* x (/ x y))) (sqrt (* x (/ x y))) (sqrt (* x (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (/ (sqrt x) (sqrt y))) (* (sqrt x) (/ (sqrt x) (sqrt y))) (* x (* (cbrt (/ x y)) (cbrt (/ x y)))) (* x (sqrt (/ x y))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* x (/ (* (cbrt x) (cbrt x)) 1)) (* x (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt x) (sqrt y))) (* x (/ (sqrt x) 1)) (* x (/ 1 (* (cbrt y) (cbrt y)))) (* x (/ 1 (sqrt y))) (* x (/ 1 1)) (* x 1) (* x x) (* (cbrt x) (/ x y)) (* (sqrt x) (/ x y)) (* x (/ x y)) (* x x) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) 0.954 * * [simplify]: iteration 0 : 296 enodes (cost 386 ) 0.961 * * [simplify]: iteration 1 : 1256 enodes (cost 335 ) 0.988 * * [simplify]: iteration 2 : 5002 enodes (cost 332 ) 0.991 * [simplify]: Simplified to: (expm1 (/ (pow z 2) y)) (log1p (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (log (/ (pow z 2) y)) (exp (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (* (cbrt (/ (pow z 2) y)) (cbrt (/ (pow z 2) y))) (cbrt (/ (pow z 2) y)) (pow (/ (pow z 2) y) 3) (sqrt (/ (pow z 2) y)) (sqrt (/ (pow z 2) y)) (- (pow z 2)) (- y) (/ (pow (cbrt z) 4) (* (* (cbrt y) (cbrt y)) 1)) (/ (pow (cbrt z) 2) (cbrt y)) (/ (pow (cbrt z) 4) (* (sqrt y) 1)) (/ (pow (cbrt z) 2) (sqrt y)) (pow (cbrt z) 4) (/ (pow (cbrt z) 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (pow z 2)) (cbrt y)) (/ (* (cbrt (pow z 2)) (cbrt (pow z 2))) (sqrt y)) (/ (cbrt (pow z 2)) (sqrt y)) (* (cbrt (pow z 2)) (cbrt (pow z 2))) (/ (cbrt (pow z 2)) y) (/ (/ (fabs z) (cbrt y)) (cbrt y)) (/ (fabs z) (cbrt y)) (/ (fabs z) (sqrt y)) (/ (fabs z) (sqrt y)) (fabs z) (/ (fabs z) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (pow z 2) (cbrt y)) (/ 1 (sqrt y)) (/ (pow z 2) (sqrt y)) 1 (/ (pow z 2) y) (/ z (* (cbrt y) (cbrt y))) (/ z (cbrt y)) (/ z (sqrt y)) (/ z (sqrt y)) z (/ z y) (/ 1 y) (/ y (pow z 2)) (/ (pow z 2) (* (cbrt y) (cbrt y))) (/ (pow z 2) (sqrt y)) (pow z 2) (/ y (pow (cbrt z) 2)) (/ y z) (/ y (pow z 2)) (/ y z) (/ y (cbrt (pow z 2))) (/ y (fabs z)) (/ y (pow z 2)) (/ y z) (expm1 (* x (/ x y))) (log1p (* x (/ x y))) (* x (/ x y)) (log (* x (/ x y))) (log (* x (/ x y))) (log (* x (/ x y))) (exp (* x (/ x y))) (pow (* x (/ x y)) 3) (pow (* x (/ x y)) 3) (* (cbrt (* x (/ x y))) (cbrt (* x (/ x y)))) (cbrt (* x (/ x y))) (pow (* x (/ x y)) 3) (sqrt (* x (/ x y))) (sqrt (* x (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (sqrt (/ x y))) (/ x (sqrt y)) (/ x (sqrt y)) (* x (* (cbrt (/ x y)) (cbrt (/ x y)))) (* x (sqrt (/ x y))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (* (cbrt x) (cbrt x)) x) (* x (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt x) (sqrt y))) (* (sqrt x) x) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (pow x 2) (* (cbrt x) (/ x y)) (* (sqrt x) (/ x y)) (* x (/ x y)) (pow x 2) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (* x (/ x y)) (* x (/ x y)) (* x (/ x y)) 0.991 * * * [progress]: adding candidates to table 1.167 * * [progress]: iteration 4 / 4 1.168 * * * [progress]: picking best candidate 1.173 * * * * [pick]: Picked # 1.173 * * * [progress]: localizing error 1.183 * * * [progress]: generating rewritten candidates 1.183 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 1.194 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 1.203 * * * [progress]: generating series expansions 1.203 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 1.203 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 1.203 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.203 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.203 * [taylor]: Taking taylor expansion of z in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.204 * [taylor]: Taking taylor expansion of z in z 1.204 * [taylor]: Taking taylor expansion of y in z 1.204 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.204 * [taylor]: Taking taylor expansion of z in z 1.204 * [taylor]: Taking taylor expansion of y in z 1.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.206 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 1.209 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.209 * [taylor]: Taking taylor expansion of z in y 1.209 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.209 * [taylor]: Taking taylor expansion of y in z 1.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.209 * [taylor]: Taking taylor expansion of z in z 1.209 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.209 * [taylor]: Taking taylor expansion of y in z 1.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.209 * [taylor]: Taking taylor expansion of z in z 1.210 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of 0 in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 1.214 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.214 * [taylor]: Taking taylor expansion of -1 in y 1.214 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.214 * [taylor]: Taking taylor expansion of z in y 1.214 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.214 * [taylor]: Taking taylor expansion of -1 in z 1.214 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.214 * [taylor]: Taking taylor expansion of y in z 1.214 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.214 * [taylor]: Taking taylor expansion of z in z 1.215 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.215 * [taylor]: Taking taylor expansion of -1 in z 1.215 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.215 * [taylor]: Taking taylor expansion of y in z 1.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.215 * [taylor]: Taking taylor expansion of z in z 1.215 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.215 * [taylor]: Taking taylor expansion of -1 in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.223 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 1.223 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 1.223 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.223 * [taylor]: Taking taylor expansion of x in y 1.223 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.226 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 1.228 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.231 * [taylor]: Taking taylor expansion of 0 in y 1.233 * [taylor]: Taking taylor expansion of 0 in y 1.233 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 1.233 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.233 * [taylor]: Taking taylor expansion of -1 in y 1.233 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.234 * [taylor]: Taking taylor expansion of x in y 1.234 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.235 * [taylor]: Taking taylor expansion of -1 in y 1.235 * [taylor]: Taking taylor expansion of y in y 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.242 * * * [progress]: simplifying candidates 1.243 * [simplify]: Simplifying using # : (expm1 (* z (/ z y))) (log1p (* z (/ z y))) (* z (/ z y)) (+ (log z) (- (log z) (log y))) (+ (log z) (log (/ z y))) (log (* z (/ z y))) (exp (* z (/ z y))) (* (* (* z z) z) (/ (* (* z z) z) (* (* y y) y))) (* (* (* z z) z) (* (* (/ z y) (/ z y)) (/ z y))) (* (cbrt (* z (/ z y))) (cbrt (* z (/ z y)))) (cbrt (* z (/ z y))) (* (* (* z (/ z y)) (* z (/ z y))) (* z (/ z y))) (sqrt (* z (/ z y))) (sqrt (* z (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (/ (sqrt z) (sqrt y))) (* (sqrt z) (/ (sqrt z) (sqrt y))) (* z (* (cbrt (/ z y)) (cbrt (/ z y)))) (* z (sqrt (/ z y))) (* z (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (* z (/ (* (cbrt z) (cbrt z)) (sqrt y))) (* z (/ (* (cbrt z) (cbrt z)) 1)) (* z (/ (sqrt z) (* (cbrt y) (cbrt y)))) (* z (/ (sqrt z) (sqrt y))) (* z (/ (sqrt z) 1)) (* z (/ 1 (* (cbrt y) (cbrt y)))) (* z (/ 1 (sqrt y))) (* z (/ 1 1)) (* z 1) (* z z) (* (cbrt z) (/ z y)) (* (sqrt z) (/ z y)) (* z (/ z y)) (* z z) (expm1 (* x (/ x y))) (log1p (* x (/ x y))) (* x (/ x y)) (+ (log x) (- (log x) (log y))) (+ (log x) (log (/ x y))) (log (* x (/ x y))) (exp (* x (/ x y))) (* (* (* x x) x) (/ (* (* x x) x) (* (* y y) y))) (* (* (* x x) x) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* x (/ x y))) (cbrt (* x (/ x y)))) (cbrt (* x (/ x y))) (* (* (* x (/ x y)) (* x (/ x y))) (* x (/ x y))) (sqrt (* x (/ x y))) (sqrt (* x (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (/ (sqrt x) (sqrt y))) (* (sqrt x) (/ (sqrt x) (sqrt y))) (* x (* (cbrt (/ x y)) (cbrt (/ x y)))) (* x (sqrt (/ x y))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* x (/ (* (cbrt x) (cbrt x)) 1)) (* x (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt x) (sqrt y))) (* x (/ (sqrt x) 1)) (* x (/ 1 (* (cbrt y) (cbrt y)))) (* x (/ 1 (sqrt y))) (* x (/ 1 1)) (* x 1) (* x x) (* (cbrt x) (/ x y)) (* (sqrt x) (/ x y)) (* x (/ x y)) (* x x) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) 1.248 * * [simplify]: iteration 0 : 303 enodes (cost 278 ) 1.256 * * [simplify]: iteration 1 : 1486 enodes (cost 236 ) 1.287 * * [simplify]: iteration 2 : 5001 enodes (cost 236 ) 1.290 * [simplify]: Simplified to: (expm1 (* z (/ z y))) (log1p (* z (/ z y))) (* z (/ z y)) (log (* z (/ z y))) (log (* z (/ z y))) (log (* z (/ z y))) (exp (* z (/ z y))) (pow (* z (/ z y)) 3) (pow (* z (/ z y)) 3) (* (cbrt (* z (/ z y))) (cbrt (* z (/ z y)))) (cbrt (* z (/ z y))) (pow (* z (/ z y)) 3) (sqrt (* z (/ z y))) (sqrt (* z (/ z y))) (* (sqrt z) (sqrt (/ z y))) (* (sqrt z) (sqrt (/ z y))) (/ z (sqrt y)) (/ z (sqrt y)) (* z (* (cbrt (/ z y)) (cbrt (/ z y)))) (* z (sqrt (/ z y))) (* z (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (* z (/ (* (cbrt z) (cbrt z)) (sqrt y))) (* (* (cbrt z) (cbrt z)) z) (* z (/ (sqrt z) (* (cbrt y) (cbrt y)))) (* z (/ (sqrt z) (sqrt y))) (* (sqrt z) z) (/ z (* (cbrt y) (cbrt y))) (/ z (sqrt y)) z z (pow z 2) (* (cbrt z) (/ z y)) (* (sqrt z) (/ z y)) (* z (/ z y)) (pow z 2) (expm1 (* x (/ x y))) (log1p (* x (/ x y))) (* x (/ x y)) (log (* x (/ x y))) (log (* x (/ x y))) (log (* x (/ x y))) (exp (* x (/ x y))) (pow (* x (/ x y)) 3) (pow (* x (/ x y)) 3) (* (cbrt (* x (/ x y))) (cbrt (* x (/ x y)))) (cbrt (* x (/ x y))) (pow (* x (/ x y)) 3) (sqrt (* x (/ x y))) (sqrt (* x (/ x y))) (* (sqrt x) (sqrt (/ x y))) (* (sqrt x) (sqrt (/ x y))) (/ x (sqrt y)) (/ x (sqrt y)) (* x (* (cbrt (/ x y)) (cbrt (/ x y)))) (* x (sqrt (/ x y))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (* (cbrt x) (cbrt x)) x) (* x (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt x) (sqrt y))) (* (sqrt x) x) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (pow x 2) (* (cbrt x) (/ x y)) (* (sqrt x) (/ x y)) (* x (/ x y)) (pow x 2) (* z (/ z y)) (* z (/ z y)) (* z (/ z y)) (* x (/ x y)) (* x (/ x y)) (* x (/ x y)) 1.290 * * * [progress]: adding candidates to table 1.423 * [progress]: [Phase 3 of 3] Extracting. 1.424 * * [regime]: Finding splitpoints for: (# # #) 1.424 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 1.424 * * * * [regimes]: Trying to branch on z from (# # #) 1.440 * * * * [regimes]: Trying to branch on y from (# # #) 1.458 * * * * [regimes]: Trying to branch on x from (# # #) 1.475 * * * [regime]: Found split indices: #