26.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.048 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.049 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.050 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.051 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.053 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.055 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.058 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.068 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.126 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.126 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.145 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.153 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.153 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.153 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.153 * [taylor]: Taking taylor expansion of y in z 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.154 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.154 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.154 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.154 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.154 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.155 * [taylor]: Taking taylor expansion of 1/2 in z 0.155 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.155 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.155 * [taylor]: Taking taylor expansion of z in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.156 * [taylor]: Taking taylor expansion of y in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.156 * [taylor]: Taking taylor expansion of z in z 0.156 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.156 * [taylor]: Taking taylor expansion of z in y 0.156 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.156 * [taylor]: Taking taylor expansion of z in y 0.157 * [taylor]: Taking taylor expansion of 1 in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.157 * [taylor]: Taking taylor expansion of -1/2 in z 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.157 * [taylor]: Taking taylor expansion of z in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.158 * [taylor]: Taking taylor expansion of y in z 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.158 * [taylor]: Taking taylor expansion of z in z 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.158 * [taylor]: Taking taylor expansion of z in y 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.158 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of 1 in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.159 * [taylor]: Taking taylor expansion of -1/2 in z 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.160 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.160 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.160 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.160 * [taylor]: Taking taylor expansion of y in z 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.160 * [taylor]: Taking taylor expansion of z in z 0.160 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.160 * [taylor]: Taking taylor expansion of z in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.160 * [taylor]: Taking taylor expansion of 1 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.161 * [taylor]: Taking taylor expansion of y in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.161 * [taylor]: Taking taylor expansion of z in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.161 * [taylor]: Taking taylor expansion of z in y 0.162 * [taylor]: Taking taylor expansion of 1 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.162 * [taylor]: Taking taylor expansion of z in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.163 * [taylor]: Taking taylor expansion of y in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.163 * [taylor]: Taking taylor expansion of z in z 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.163 * [taylor]: Taking taylor expansion of z in y 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.164 * [taylor]: Taking taylor expansion of z in y 0.164 * [taylor]: Taking taylor expansion of 1 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.164 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.164 * [taylor]: Taking taylor expansion of z in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [taylor]: Taking taylor expansion of 0 in z 0.165 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.165 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.165 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.165 * [taylor]: Taking taylor expansion of y in z 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.165 * [taylor]: Taking taylor expansion of z in z 0.165 * [taylor]: Taking taylor expansion of x in z 0.165 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.166 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.166 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.166 * [taylor]: Taking taylor expansion of z in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.166 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.167 * [taylor]: Taking taylor expansion of z in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.167 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.168 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.168 * [taylor]: Taking taylor expansion of z in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.169 * [taylor]: Taking taylor expansion of x in z 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.169 * [taylor]: Taking taylor expansion of y in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.169 * [taylor]: Taking taylor expansion of z in z 0.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.169 * [taylor]: Taking taylor expansion of z in x 0.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.170 * [taylor]: Taking taylor expansion of z in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.171 * [taylor]: Taking taylor expansion of z in y 0.172 * [taylor]: Taking taylor expansion of 1 in z 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.173 * [taylor]: Taking taylor expansion of -1/2 in z 0.173 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.173 * [taylor]: Taking taylor expansion of z in z 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.178 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.178 * [taylor]: Taking taylor expansion of -1 in z 0.178 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.178 * [taylor]: Taking taylor expansion of x in z 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.178 * [taylor]: Taking taylor expansion of y in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.178 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.178 * [taylor]: Taking taylor expansion of -1 in y 0.178 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.179 * [taylor]: Taking taylor expansion of z in x 0.180 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.180 * [taylor]: Taking taylor expansion of z in x 0.181 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.181 * [taylor]: Taking taylor expansion of -1 in y 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 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 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.181 * [taylor]: Taking taylor expansion of z in y 0.181 * [taylor]: Taking taylor expansion of -1 in z 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.183 * [taylor]: Taking taylor expansion of 1/2 in z 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.183 * [taylor]: Taking taylor expansion of z in z 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.185 * * * [progress]: simplifying candidates 0.185 * [simplify]: Simplifying using # : (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (neg (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* z z)) (* x (sqrt (- (* y y) (* z z)))) (+ (log x) (log (sqrt (- (* y y) (* z z))))) (log (* x (sqrt (- (* y y) (* z z))))) (exp (* x (sqrt (- (* y y) (* z z))))) (* (* (* x x) x) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))))) (* (cbrt (* x (sqrt (- (* y y) (* z z))))) (cbrt (* x (sqrt (- (* y y) (* z z)))))) (cbrt (* x (sqrt (- (* y y) (* z z))))) (* (* (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z))))) (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* x (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z)))))) (* x (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x (sqrt 1)) (* x (sqrt (+ y z))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x 1) (* (cbrt x) (sqrt (- (* y y) (* z z)))) (* (sqrt x) (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (pow (* y y) 3) (pow (* z z) 3)))) (* x (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))) (* z (sqrt (neg 1))) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0 (* x y) (* -1 (* x y)) 0.189 * * [simplify]: iteration 0 : 188 enodes (cost 364 ) 0.193 * * [simplify]: iteration 1 : 742 enodes (cost 340 ) 0.208 * * [simplify]: iteration 2 : 3019 enodes (cost 337 ) 0.259 * * [simplify]: iteration 3 : 5001 enodes (cost 337 ) 0.262 * [simplify]: Simplified to: (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (exp (- (* y y) (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (+ (pow y 4) (* (* y y) (* z z))) (pow z 4)) (neg (* z z)) (+ (* (neg (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* z z)) (* x (sqrt (- (* y y) (* z z)))) (log (* x (sqrt (- (* y y) (* z z))))) (log (* x (sqrt (- (* y y) (* z z))))) (exp (* x (sqrt (- (* y y) (* z z))))) (pow (* x (sqrt (- (* y y) (* z z)))) 3) (* (cbrt (* x (sqrt (- (* y y) (* z z))))) (cbrt (* x (sqrt (- (* y y) (* z z)))))) (cbrt (* x (sqrt (- (* y y) (* z z))))) (pow (* x (sqrt (- (* y y) (* z z)))) 3) (sqrt (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* x (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z)))))) (* (fabs (cbrt (- (* y y) (* z z)))) x) (* x (sqrt (sqrt (- (* y y) (* z z))))) x (* x (sqrt (+ y z))) (* x (sqrt (sqrt (- (* y y) (* z z))))) x (* (cbrt x) (sqrt (- (* y y) (* z z)))) (* (sqrt x) (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (pow (* y y) 3) (pow (* z z) 3)))) (* x (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0 (* x y) (* -1 (* x y)) 0.262 * * * [progress]: adding candidates to table 0.419 * * [progress]: iteration 2 / 4 0.419 * * * [progress]: picking best candidate 0.435 * * * * [pick]: Picked # 0.435 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.437 * * * [progress]: generating series expansions 0.437 * * * [progress]: simplifying candidates 0.437 * [simplify]: Simplifying using # : 0.439 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.439 * [simplify]: Simplified to: 0.439 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 3 / 4 0.439 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.474 * * * [progress]: generating series expansions 0.474 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.474 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.474 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.474 * [taylor]: Taking taylor expansion of (+ z y) in z 0.474 * [taylor]: Taking taylor expansion of z in z 0.474 * [taylor]: Taking taylor expansion of y in z 0.474 * [taylor]: Taking taylor expansion of (- y z) in z 0.474 * [taylor]: Taking taylor expansion of y in z 0.474 * [taylor]: Taking taylor expansion of z in z 0.475 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.475 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.475 * [taylor]: Taking taylor expansion of (+ z y) in y 0.475 * [taylor]: Taking taylor expansion of z in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (- y z) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of z in y 0.475 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.475 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.475 * [taylor]: Taking taylor expansion of (+ z y) in y 0.475 * [taylor]: Taking taylor expansion of z in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (- y z) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of z in y 0.476 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.476 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.476 * [taylor]: Taking taylor expansion of -1 in z 0.476 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.476 * [taylor]: Taking taylor expansion of z in z 0.476 * [taylor]: Taking taylor expansion of 0 in z 0.476 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.476 * [taylor]: Taking taylor expansion of 1/2 in z 0.476 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.476 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.476 * [taylor]: Taking taylor expansion of -1 in z 0.476 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.476 * [taylor]: Taking taylor expansion of z in z 0.477 * [taylor]: Taking taylor expansion of 0 in z 0.477 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.477 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.477 * [taylor]: Taking taylor expansion of y in z 0.477 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.477 * [taylor]: Taking taylor expansion of z in z 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.477 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.477 * [taylor]: Taking taylor expansion of z in z 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.477 * [taylor]: Taking taylor expansion of y in z 0.477 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.478 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.478 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 1 in z 0.478 * [taylor]: Taking taylor expansion of 0 in z 0.479 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.479 * [taylor]: Taking taylor expansion of -1/2 in z 0.479 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.479 * [taylor]: Taking taylor expansion of z in z 0.479 * [taylor]: Taking taylor expansion of 0 in z 0.480 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in (y z) around 0 0.480 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in z 0.480 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 z) (/ 1 y)))) in z 0.480 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 z) (/ 1 y))) in z 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.480 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.480 * [taylor]: Taking taylor expansion of z in z 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.480 * [taylor]: Taking taylor expansion of y in z 0.480 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in z 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.480 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.480 * [taylor]: Taking taylor expansion of z in z 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.480 * [taylor]: Taking taylor expansion of y in z 0.480 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 z) (/ 1 y)))) in y 0.480 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 z) (/ 1 y))) in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.480 * [taylor]: Taking taylor expansion of z in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.480 * [taylor]: Taking taylor expansion of z in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (neg (+ (/ 1 z) (/ 1 y)))) in y 0.480 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 z) (/ 1 y))) in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.480 * [taylor]: Taking taylor expansion of z in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.481 * [taylor]: Taking taylor expansion of z in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in z 0.481 * [taylor]: Taking taylor expansion of 0 in z 0.481 * [taylor]: Taking taylor expansion of (pow NAN 2) in z 0.481 * [taylor]: Taking taylor expansion of NAN in z 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) z)) in z 0.482 * [taylor]: Taking taylor expansion of 2 in z 0.482 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) z) in z 0.483 * [taylor]: Taking taylor expansion of (pow NAN 2) in z 0.483 * [taylor]: Taking taylor expansion of NAN in z 0.483 * [taylor]: Taking taylor expansion of z in z 0.485 * [taylor]: Taking taylor expansion of (+ (* 3 (pow NAN 6)) (/ (pow NAN 2) (pow z 2))) in z 0.485 * [taylor]: Taking taylor expansion of (* 3 (pow NAN 6)) in z 0.485 * [taylor]: Taking taylor expansion of 3 in z 0.485 * [taylor]: Taking taylor expansion of (pow NAN 6) in z 0.485 * [taylor]: Taking taylor expansion of NAN in z 0.485 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow z 2)) in z 0.485 * [taylor]: Taking taylor expansion of (pow NAN 2) in z 0.485 * [taylor]: Taking taylor expansion of NAN in z 0.485 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.485 * [taylor]: Taking taylor expansion of z in z 0.486 * * * [progress]: simplifying candidates 0.487 * [simplify]: Simplifying using # : (* (+ y z) (- y z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (+ y z) (- y z)) (+ (log (sqrt (+ y z))) (log (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z))) (* (* (sqrt (- y z)) (sqrt (- y z))) (sqrt (- y z)))) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (+ y z) (- y z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (* (sqrt (- y z)) (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (sqrt (+ y z)) (sqrt (* (cbrt (- y z)) (cbrt (- y z))))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) 1) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (* z (sqrt -1)) y (+ (* 2 (/ (* (pow NAN 2) z) y)) (+ (/ (* (pow NAN 2) (pow z 2)) (pow y 2)) (pow NAN 2))) 0.490 * * [simplify]: iteration 0 : 191 enodes (cost 329 ) 0.494 * * [simplify]: iteration 1 : 653 enodes (cost 323 ) 0.506 * * [simplify]: iteration 2 : 2572 enodes (cost 319 ) 0.545 * * [simplify]: iteration 3 : 5001 enodes (cost 319 ) 0.547 * [simplify]: Simplified to: (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (- (* y y) (* z z)) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (- (* y y) (* z z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (fabs (cbrt (- y z))) (sqrt (+ y z))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (* z (sqrt -1)) y (+ (* 2 (/ (* (pow NAN 2) z) y)) (+ (/ (* (pow NAN 2) (pow z 2)) (pow y 2)) (pow NAN 2))) 0.548 * * * [progress]: adding candidates to table 0.656 * * [progress]: iteration 4 / 4 0.656 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.668 * * * [progress]: generating rewritten candidates 0.668 * * * [progress]: generating series expansions 0.668 * * * [progress]: simplifying candidates 0.668 * [simplify]: Simplifying using # : 0.670 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.670 * [simplify]: Simplified to: 0.670 * * * [progress]: adding candidates to table 0.670 * [progress]: [Phase 3 of 3] Extracting. 0.670 * * [regime]: Finding splitpoints for: (# # # # #) 0.670 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (- (* y y) (* z z)) (sqrt (- (* y y) (* z z))) (* x (sqrt (- (* y y) (* z z)))) z y x) 0.670 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 0.738 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.800 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.861 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.899 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # # # #) 0.962 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# #) 1.006 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # # # #) 1.075 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# #) 1.121 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # # # #) 1.198 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.299 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.362 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.470 * * * [regime]: Found split indices: #