1.527 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0)) 0.034 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.037 * * [simplify]: iteration 1 : 59 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 111 enodes (cost 6 ) 0.044 * * [simplify]: iteration 3 : 204 enodes (cost 6 ) 0.049 * * [simplify]: iteration 4 : 369 enodes (cost 6 ) 0.056 * * [simplify]: iteration 5 : 839 enodes (cost 6 ) 0.072 * * [simplify]: iteration 6 : 2168 enodes (cost 6 ) 0.105 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.106 * [simplify]: Simplified to: (/ (/ (fma x x (- (* y y) (* z z))) 2.0) y) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.122 * * * [progress]: generating rewritten candidates 0.122 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.133 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in (x y z) around 0 0.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in z 0.141 * [taylor]: Taking taylor expansion of 0.5 in z 0.141 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in z 0.141 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.141 * [taylor]: Taking taylor expansion of x in z 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.141 * [taylor]: Taking taylor expansion of y in z 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in y 0.142 * [taylor]: Taking taylor expansion of 0.5 in y 0.142 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in y 0.142 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in x 0.143 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in x 0.143 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.143 * [taylor]: Taking taylor expansion of z in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y)) in x 0.143 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [taylor]: Taking taylor expansion of (/ (- (+ (pow x 2) (pow y 2)) (pow z 2)) y) in x 0.143 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.143 * [taylor]: Taking taylor expansion of z in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (pow y 2) (pow z 2)) y)) in y 0.144 * [taylor]: Taking taylor expansion of 0.5 in y 0.144 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow z 2)) y) in y 0.144 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (* -0.5 (pow z 2)) in z 0.145 * [taylor]: Taking taylor expansion of -0.5 in z 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.145 * [taylor]: Taking taylor expansion of z in z 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of 0.5 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0.5 in z 0.152 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0.5 in z 0.156 * [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 0.156 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.156 * [taylor]: Taking taylor expansion of 0.5 in z 0.156 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in z 0.156 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.156 * [taylor]: Taking taylor expansion of x 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 0.157 * [taylor]: Taking taylor expansion of y in z 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.157 * [taylor]: Taking taylor expansion of 0.5 in y 0.157 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in y 0.157 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [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 y in y 0.158 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.158 * [taylor]: Taking taylor expansion of 0.5 in x 0.158 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.158 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.159 * [taylor]: Taking taylor expansion of 0.5 in x 0.159 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.159 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.160 * [taylor]: Taking taylor expansion of z in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.161 * [taylor]: Taking taylor expansion of 0.5 in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ y (pow z 2)))) in y 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of 0.5 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ y (pow z 2))) in y 0.171 * [taylor]: Taking taylor expansion of 0.5 in y 0.171 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.171 * [taylor]: Taking taylor expansion of z in y 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0.5 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0.5 in z 0.182 * [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 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow z 2)))) in z 0.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow z 2))) in z 0.193 * [taylor]: Taking taylor expansion of 0.5 in z 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [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 0.196 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in z 0.196 * [taylor]: Taking taylor expansion of -0.5 in z 0.196 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in z 0.196 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.196 * [taylor]: Taking taylor expansion of x in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.196 * [taylor]: Taking taylor expansion of y in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.196 * [taylor]: Taking taylor expansion of z in z 0.197 * [taylor]: Taking taylor expansion of y in z 0.197 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in y 0.197 * [taylor]: Taking taylor expansion of -0.5 in y 0.197 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in y 0.197 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.198 * [taylor]: Taking taylor expansion of -0.5 in x 0.198 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.198 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.199 * [taylor]: Taking taylor expansion of z in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (* -0.5 (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y)) in x 0.199 * [taylor]: Taking taylor expansion of -0.5 in x 0.199 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) y) in x 0.199 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.200 * [taylor]: Taking taylor expansion of z in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.201 * [taylor]: Taking taylor expansion of -0.5 in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ y (pow z 2))) (* 0.5 (/ 1 y))) in y 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y (pow z 2))) in y 0.206 * [taylor]: Taking taylor expansion of 0.5 in y 0.206 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of 0.5 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.212 * [taylor]: Taking taylor expansion of 0.5 in z 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.213 * [taylor]: Taking taylor expansion of 0.5 in z 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.220 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow z 2))) in z 0.228 * [taylor]: Taking taylor expansion of 0.5 in z 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.228 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.228 * [taylor]: Taking taylor expansion of z in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.232 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.232 * [approximate]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in (x y z) around 0 0.232 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in z 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.232 * [taylor]: Taking taylor expansion of x in z 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.232 * [taylor]: Taking taylor expansion of y in z 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.232 * [taylor]: Taking taylor expansion of z in z 0.232 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.232 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.232 * [taylor]: Taking taylor expansion of z in x 0.232 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (pow z 2)) in x 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.232 * [taylor]: Taking taylor expansion of z in x 0.233 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.233 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 1 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [taylor]: Taking taylor expansion of 1 in z 0.239 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.239 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.240 * [taylor]: Taking taylor expansion of x in z 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.240 * [taylor]: Taking taylor expansion of y in z 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.240 * [taylor]: Taking taylor expansion of z in z 0.240 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.241 * [taylor]: Taking taylor expansion of z in y 0.241 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.242 * [taylor]: Taking taylor expansion of z in x 0.242 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.243 * [taylor]: Taking taylor expansion of z in x 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.247 * [taylor]: Taking taylor expansion of z in y 0.248 * [taylor]: Taking taylor expansion of 1 in z 0.248 * [taylor]: Taking taylor expansion of 1 in z 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in z 0.251 * [taylor]: Taking taylor expansion of 0 in z 0.251 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.256 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.256 * [taylor]: Taking taylor expansion of z in z 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (x y z) around 0 0.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.258 * [taylor]: Taking taylor expansion of x in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.258 * [taylor]: Taking taylor expansion of y in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.259 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.260 * [taylor]: Taking taylor expansion of z in y 0.260 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.261 * [taylor]: Taking taylor expansion of z in x 0.261 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ 1 (pow z 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.262 * [taylor]: Taking taylor expansion of z in x 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.271 * [taylor]: Taking taylor expansion of z in y 0.272 * [taylor]: Taking taylor expansion of 1 in z 0.272 * [taylor]: Taking taylor expansion of 1 in z 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.281 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.281 * [taylor]: Taking taylor expansion of z in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.282 * * * [progress]: simplifying candidates 0.283 * [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)) (- (+ (* 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)) 0.290 * * [simplify]: iteration 0 : 299 enodes (cost 503 ) 0.298 * * [simplify]: iteration 1 : 1242 enodes (cost 422 ) 0.324 * * [simplify]: iteration 2 : 5001 enodes (cost 407 ) 0.328 * [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)))) (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)) (* 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))) 0.328 * * * [progress]: adding candidates to table 0.469 * * [progress]: iteration 2 / 4 0.469 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.496 * * * [progress]: generating rewritten candidates 0.496 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.501 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.506 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.548 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 0.548 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.548 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.548 * [taylor]: Taking taylor expansion of z in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [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 0.549 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.549 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.549 * [taylor]: Taking taylor expansion of z in z 0.549 * [taylor]: Taking taylor expansion of y in z 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 0.554 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.554 * [taylor]: Taking taylor expansion of z in y 0.554 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.554 * [taylor]: Taking taylor expansion of y in z 0.554 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.554 * [taylor]: Taking taylor expansion of z in z 0.555 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.555 * [taylor]: Taking taylor expansion of y in z 0.555 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.555 * [taylor]: Taking taylor expansion of z in z 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 0.560 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 0.560 * [taylor]: Taking taylor expansion of -1 in y 0.560 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.560 * [taylor]: Taking taylor expansion of z in y 0.560 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.560 * [taylor]: Taking taylor expansion of -1 in z 0.560 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.560 * [taylor]: Taking taylor expansion of y in z 0.560 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.560 * [taylor]: Taking taylor expansion of z in z 0.561 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 0.561 * [taylor]: Taking taylor expansion of -1 in z 0.561 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.561 * [taylor]: Taking taylor expansion of y in z 0.561 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.561 * [taylor]: Taking taylor expansion of z in z 0.561 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.561 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.569 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [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 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [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 0.575 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [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 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 0.580 * [taylor]: Taking taylor expansion of -1 in y 0.580 * [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 0.581 * [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) in y 0.582 * [taylor]: Taking taylor expansion of -1 in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [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]: [ 3 / 3 ] generating series at (2 2) 0.590 * [approximate]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 0.590 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 0.590 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in z 0.590 * [taylor]: Taking taylor expansion of y in z 0.590 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in z 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.590 * [taylor]: Taking taylor expansion of x in z 0.590 * [taylor]: Taking taylor expansion of y in z 0.590 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 0.590 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.590 * [taylor]: Taking taylor expansion of z in z 0.590 * [taylor]: Taking taylor expansion of y in z 0.590 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 0.591 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in x 0.591 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.591 * [taylor]: Taking taylor expansion of z in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 0.591 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.591 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.591 * [taylor]: Taking taylor expansion of z in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 0.592 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 0.592 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.592 * [taylor]: Taking taylor expansion of z in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow z 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.592 * [taylor]: Taking taylor expansion of z in x 0.592 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.592 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.593 * [taylor]: Taking taylor expansion of z in z 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.595 * [taylor]: Taking taylor expansion of 0 in z 0.595 * [taylor]: Taking taylor expansion of 0 in z 0.599 * [taylor]: Taking taylor expansion of 1 in x 0.599 * [taylor]: Taking taylor expansion of 1 in z 0.599 * [taylor]: Taking taylor expansion of 0 in z 0.600 * [taylor]: Taking taylor expansion of 1 in z 0.601 * [approximate]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 0.601 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 0.601 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 0.601 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 0.601 * [taylor]: Taking taylor expansion of y in z 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.601 * [taylor]: Taking taylor expansion of x in z 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.602 * [taylor]: Taking taylor expansion of y in z 0.602 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.602 * [taylor]: Taking taylor expansion of y in z 0.602 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.602 * [taylor]: Taking taylor expansion of z in z 0.602 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.602 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.603 * [taylor]: Taking taylor expansion of z in x 0.603 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 0.603 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 0.603 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.603 * [taylor]: Taking taylor expansion of z in y 0.604 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 0.604 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 0.604 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.604 * [taylor]: Taking taylor expansion of z in y 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.606 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.608 * [taylor]: Taking taylor expansion of z in x 0.608 * [taylor]: Taking taylor expansion of 1 in z 0.608 * [taylor]: Taking taylor expansion of 1 in z 0.610 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [taylor]: Taking taylor expansion of 0 in z 0.611 * [taylor]: Taking taylor expansion of 0 in z 0.611 * [taylor]: Taking taylor expansion of 0 in z 0.614 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.615 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.615 * [taylor]: Taking taylor expansion of z in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.623 * [approximate]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 0.623 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 0.623 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 0.623 * [taylor]: Taking taylor expansion of y in z 0.623 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.623 * [taylor]: Taking taylor expansion of z in z 0.624 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 0.624 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 0.624 * [taylor]: Taking taylor expansion of y in z 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.624 * [taylor]: Taking taylor expansion of x in z 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.624 * [taylor]: Taking taylor expansion of y in z 0.624 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 0.624 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.624 * [taylor]: Taking taylor expansion of z in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 0.625 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 0.625 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.625 * [taylor]: Taking taylor expansion of z in y 0.625 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 0.625 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 0.626 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.626 * [taylor]: Taking taylor expansion of z in y 0.626 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 0.626 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of 0 in x 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2)) (/ 1 (pow x 2))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.630 * [taylor]: Taking taylor expansion of z in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of -1 in z 0.631 * [taylor]: Taking taylor expansion of -1 in z 0.633 * [taylor]: Taking taylor expansion of 0 in x 0.634 * [taylor]: Taking taylor expansion of 0 in z 0.634 * [taylor]: Taking taylor expansion of 0 in z 0.635 * [taylor]: Taking taylor expansion of 0 in z 0.637 * [taylor]: Taking taylor expansion of 0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.639 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.639 * [taylor]: Taking taylor expansion of z in z 0.639 * [taylor]: Taking taylor expansion of 0 in z 0.639 * [taylor]: Taking taylor expansion of 0 in z 0.640 * * * [progress]: simplifying candidates 0.645 * [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 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(/ (pow z 2) y))) (+ (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (+ (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (pow (sqrt z) 2) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (pow (sqrt z) 2) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (pow z (/ 2 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (pow z (/ 2 2)) (sqrt y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (/ (pow x 2) y) (/ (pow z 2) y)) (- (/ (pow z 2) y)) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 0.667 * * [simplify]: iteration 0 : 957 enodes (cost 4380 ) 0.685 * * [simplify]: iteration 1 : 3231 enodes (cost 3066 ) 0.741 * * [simplify]: iteration 2 : 5002 enodes (cost 2874 ) 0.755 * [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 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y))) (exp (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (* (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)))) (cbrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (pow (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 3) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (sqrt (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (fma (- (pow z 2)) (fma (/ (pow x 2) y) (- (/ (pow x 2) y) y) (* y y)) (* (+ (pow y 3) (pow (/ (pow x 2) y) 3)) y)) (fma y (* (/ (pow x 2) y) (- (/ (pow x 2) y) y)) (pow y 3)) (- (* (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) y) (* (- y (/ (pow x 2) y)) (pow z 2))) (* (- y (/ (pow x 2) y)) y) (- (pow (+ y (/ (pow x 2) y)) 3) (pow (/ (pow z 2) y) 3)) (fma (/ z y) (* z (fma (/ z y) z (+ y (/ (pow x 2) y)))) (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)))) (- (/ (pow z 2) y)) (* (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (fma (/ z y) z (+ y (/ (pow x 2) y)))) (fma (/ z y) z (+ y (/ (pow x 2) y))) (+ (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (- (sqrt (+ y (/ (pow x 2) y))) (sqrt (/ (pow z 2) y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ (sqrt (pow z 2)) (sqrt y))) (+ (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (sqrt (+ y (/ (pow x 2) y))) (/ z (sqrt y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (/ (pow x 2) y) (/ (pow z 2) y)) (- (/ (pow z 2) y)) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 0.758 * * * [progress]: adding candidates to table 1.143 * * [progress]: iteration 3 / 4 1.143 * * * [progress]: picking best candidate 1.157 * * * * [pick]: Picked # 1.157 * * * [progress]: localizing error 1.168 * * * [progress]: generating rewritten candidates 1.168 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 1.173 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.179 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.196 * * * [progress]: generating series expansions 1.196 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 1.196 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 1.196 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.196 * [taylor]: Taking taylor expansion of x in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of y in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 1.202 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.204 * [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 (* -1 (/ y (pow x 2))) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.209 * [taylor]: Taking taylor expansion of -1 in y 1.209 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.209 * [taylor]: Taking taylor expansion of -1 in x 1.209 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.210 * [taylor]: Taking taylor expansion of -1 in x 1.210 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.210 * [taylor]: Taking taylor expansion of -1 in y 1.210 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.218 * [taylor]: Taking taylor expansion of 0 in y 1.218 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.218 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 1.218 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.218 * [taylor]: Taking taylor expansion of z in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.218 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.218 * [taylor]: Taking taylor expansion of z in z 1.219 * [taylor]: Taking taylor expansion of y in z 1.219 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.219 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.219 * [taylor]: Taking taylor expansion of z in z 1.219 * [taylor]: Taking taylor expansion of y in z 1.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.221 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 1.223 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.223 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.224 * [taylor]: Taking taylor expansion of z in y 1.224 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.224 * [taylor]: Taking taylor expansion of y in z 1.224 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.224 * [taylor]: Taking taylor expansion of z in z 1.224 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.224 * [taylor]: Taking taylor expansion of y in z 1.224 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.224 * [taylor]: Taking taylor expansion of z in z 1.224 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.234 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 1.234 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.234 * [taylor]: Taking taylor expansion of -1 in y 1.234 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.234 * [taylor]: Taking taylor expansion of z in y 1.234 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.235 * [taylor]: Taking taylor expansion of -1 in z 1.235 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.235 * [taylor]: Taking taylor expansion of y in z 1.235 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.235 * [taylor]: Taking taylor expansion of z in z 1.235 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.235 * [taylor]: Taking taylor expansion of -1 in z 1.235 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.235 * [taylor]: Taking taylor expansion of y in z 1.235 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.235 * [taylor]: Taking taylor expansion of z in z 1.235 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.236 * [taylor]: Taking taylor expansion of -1 in y 1.236 * [taylor]: Taking taylor expansion of y in y 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.240 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [taylor]: Taking taylor expansion of 0 in y 1.243 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.244 * [approximate]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 1.244 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.244 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in z 1.244 * [taylor]: Taking taylor expansion of y in z 1.244 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in z 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.244 * [taylor]: Taking taylor expansion of x in z 1.244 * [taylor]: Taking taylor expansion of y in z 1.244 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.244 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.244 * [taylor]: Taking taylor expansion of z in z 1.244 * [taylor]: Taking taylor expansion of y in z 1.245 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 1.245 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in x 1.245 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.245 * [taylor]: Taking taylor expansion of z in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 1.245 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.245 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.245 * [taylor]: Taking taylor expansion of z in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 1.246 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.246 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.246 * [taylor]: Taking taylor expansion of z in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.246 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow z 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.246 * [taylor]: Taking taylor expansion of z in x 1.247 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 1.247 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.247 * [taylor]: Taking taylor expansion of z in z 1.249 * [taylor]: Taking taylor expansion of 0 in x 1.249 * [taylor]: Taking taylor expansion of 0 in z 1.250 * [taylor]: Taking taylor expansion of 0 in z 1.253 * [taylor]: Taking taylor expansion of 1 in x 1.253 * [taylor]: Taking taylor expansion of 1 in z 1.253 * [taylor]: Taking taylor expansion of 0 in z 1.255 * [taylor]: Taking taylor expansion of 1 in z 1.256 * [approximate]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 1.256 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.256 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 1.256 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 1.256 * [taylor]: Taking taylor expansion of y in z 1.256 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.256 * [taylor]: Taking taylor expansion of x in z 1.256 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.256 * [taylor]: Taking taylor expansion of y in z 1.256 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.256 * [taylor]: Taking taylor expansion of y in z 1.256 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.256 * [taylor]: Taking taylor expansion of z in z 1.257 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.257 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 1.257 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.257 * [taylor]: Taking taylor expansion of y in x 1.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.257 * [taylor]: Taking taylor expansion of y in x 1.257 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 1.257 * [taylor]: Taking taylor expansion of y in x 1.257 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.257 * [taylor]: Taking taylor expansion of z in x 1.257 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 1.257 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.257 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.257 * [taylor]: Taking taylor expansion of x in y 1.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.258 * [taylor]: Taking taylor expansion of z in y 1.258 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 1.258 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.258 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.258 * [taylor]: Taking taylor expansion of x in y 1.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.259 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.259 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.259 * [taylor]: Taking taylor expansion of z in y 1.259 * [taylor]: Taking taylor expansion of 1 in x 1.260 * [taylor]: Taking taylor expansion of 0 in x 1.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.262 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.262 * [taylor]: Taking taylor expansion of z in x 1.263 * [taylor]: Taking taylor expansion of 1 in z 1.263 * [taylor]: Taking taylor expansion of 1 in z 1.264 * [taylor]: Taking taylor expansion of 0 in x 1.266 * [taylor]: Taking taylor expansion of 0 in z 1.266 * [taylor]: Taking taylor expansion of 0 in z 1.266 * [taylor]: Taking taylor expansion of 0 in z 1.268 * [taylor]: Taking taylor expansion of 0 in x 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.270 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.270 * [taylor]: Taking taylor expansion of z in z 1.271 * [taylor]: Taking taylor expansion of 0 in z 1.271 * [taylor]: Taking taylor expansion of 0 in z 1.271 * [approximate]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 1.272 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 1.272 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.272 * [taylor]: Taking taylor expansion of y in z 1.272 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.272 * [taylor]: Taking taylor expansion of z in z 1.272 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 1.272 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 1.272 * [taylor]: Taking taylor expansion of y in z 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.272 * [taylor]: Taking taylor expansion of x in z 1.272 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.272 * [taylor]: Taking taylor expansion of y in z 1.272 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 1.272 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.272 * [taylor]: Taking taylor expansion of z in x 1.272 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 1.272 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 1.273 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.273 * [taylor]: Taking taylor expansion of z in y 1.273 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.273 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.273 * [taylor]: Taking taylor expansion of x in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 1.274 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.274 * [taylor]: Taking taylor expansion of z in y 1.274 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.274 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of 0 in x 1.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2)) (/ 1 (pow x 2))) in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.278 * [taylor]: Taking taylor expansion of z in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of -1 in z 1.279 * [taylor]: Taking taylor expansion of -1 in z 1.281 * [taylor]: Taking taylor expansion of 0 in x 1.282 * [taylor]: Taking taylor expansion of 0 in z 1.282 * [taylor]: Taking taylor expansion of 0 in z 1.282 * [taylor]: Taking taylor expansion of 0 in z 1.285 * [taylor]: Taking taylor expansion of 0 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.287 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.287 * [taylor]: Taking taylor expansion of z in z 1.287 * [taylor]: Taking taylor expansion of 0 in z 1.287 * [taylor]: Taking taylor expansion of 0 in z 1.288 * * * [progress]: simplifying candidates 1.290 * [simplify]: Simplifying using # : (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))) (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) (fma (* (cbrt (+ y (/ (pow x 2) y))) (cbrt (+ y (/ (pow x 2) y)))) (cbrt (+ y (/ (pow x 2) y))) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (fma (sqrt (+ y (/ (pow x 2) y))) (sqrt (+ y (/ (pow x 2) y))) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (fma 1 (+ y (/ (pow x 2) y)) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (fma 1 (+ y (/ (pow x 2) y)) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (expm1 (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (log1p (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (/ (* (exp y) (exp (/ (pow x 2) y))) (exp (* z (/ z y)))) (/ (exp (+ y (/ (pow x 2) y))) (exp (* z (/ z y)))) (log (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (exp (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (* (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y))))) (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (* (* (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (sqrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (sqrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (- (* (+ (pow y 3) (pow (/ (pow x 2) y) 3)) y) (* (+ (* y y) (- (* (/ (pow x 2) y) (/ (pow x 2) y)) (* y (/ (pow x 2) y)))) (* z z))) (* (+ (* y y) (- (* (/ (pow x 2) y) (/ (pow x 2) y)) (* y (/ (pow x 2) y)))) y) (- (* (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) y) (* (- y (/ (pow x 2) y)) (* z z))) (* (- y (/ (pow x 2) y)) y) (- (pow (+ y (/ (pow x 2) y)) 3) (pow (* z (/ z y)) 3)) (+ (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (+ (* (* z (/ z y)) (* z (/ z y))) (* (+ y (/ (pow x 2) y)) (* z (/ z y))))) (- (* z (/ z y))) (- (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y))) (* (* z (/ z y)) (* z (/ z y)))) (+ (+ y (/ (pow x 2) y)) (* z (/ z y))) (- (/ (pow x 2) y) (* z (/ z y))) (- (* z (/ z y))) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 1.299 * * [simplify]: iteration 0 : 451 enodes (cost 667 ) 1.311 * * [simplify]: iteration 1 : 1889 enodes (cost 597 ) 1.353 * * [simplify]: iteration 2 : 5002 enodes (cost 591 ) 1.359 * [simplify]: Simplified to: (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) (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) (fma (* (cbrt (+ y (/ (pow x 2) y))) (cbrt (+ y (/ (pow x 2) y)))) (cbrt (+ y (/ (pow x 2) y))) (- (* (/ z y) z))) (* (/ z y) (+ (- z) z)) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (* (/ z y) (+ (- z) z)) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (* (/ z y) (+ (- z) z)) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (* (/ z y) (+ (- z) z)) (expm1 (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (log1p (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (exp (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (exp (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (log (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (exp (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (* (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y))))) (cbrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (pow (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 3) (sqrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (sqrt (- (+ y (/ (pow x 2) y)) (* z (/ z y)))) (fma (- (fma (/ (pow x 2) y) (- (/ (pow x 2) y) y) (* y y))) (pow z 2) (* (+ (pow y 3) (pow (/ (pow x 2) y) 3)) y)) (fma y (* (/ (pow x 2) y) (- (/ (pow x 2) y) y)) (pow y 3)) (- (* (- (* y y) (* (/ (pow x 2) y) (/ (pow x 2) y))) y) (* (- y (/ (pow x 2) y)) (* z z))) (* (- y (/ (pow x 2) y)) y) (- (pow (+ y (/ (pow x 2) y)) 3) (pow (* z (/ z y)) 3)) (fma z (* (/ z y) (fma z (/ z y) (+ y (/ (pow x 2) y)))) (* (+ y (/ (pow x 2) y)) (+ y (/ (pow x 2) y)))) (- (* z (/ z y))) (* (fma z (/ z y) (+ y (/ (pow x 2) y))) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))) (fma z (/ z y) (+ y (/ (pow x 2) y))) (- (/ (pow x 2) y) (* z (/ z y))) (- (* z (/ z y))) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (* z (/ z y)) (* z (/ z y)) (* z (/ z y)) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) (- (+ y (/ (pow x 2) y)) (* z (/ z y))) 1.359 * * * [progress]: adding candidates to table 1.612 * * [progress]: iteration 4 / 4 1.612 * * * [progress]: picking best candidate 1.624 * * * * [pick]: Picked # 1.624 * * * [progress]: localizing error 1.634 * * * [progress]: generating rewritten candidates 1.634 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 1.641 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.648 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.657 * * * [progress]: generating series expansions 1.657 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 1.657 * [approximate]: Taking taylor expansion of (/ (pow x 2) y) in (x y) around 0 1.657 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.657 * [taylor]: Taking taylor expansion of x in y 1.657 * [taylor]: Taking taylor expansion of y in y 1.657 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.657 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.658 * [taylor]: Taking taylor expansion of y in y 1.659 * [taylor]: Taking taylor expansion of 0 in y 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.662 * [taylor]: Taking taylor expansion of 0 in y 1.663 * [approximate]: Taking taylor expansion of (/ y (pow x 2)) in (x y) around 0 1.663 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.663 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.663 * [taylor]: Taking taylor expansion of x in y 1.663 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.663 * [taylor]: Taking taylor expansion of y in x 1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of y in y 1.665 * [taylor]: Taking taylor expansion of 0 in y 1.667 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in (x y) around 0 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in y 1.669 * [taylor]: Taking taylor expansion of -1 in y 1.669 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.669 * [taylor]: Taking taylor expansion of x in y 1.669 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow x 2))) in x 1.670 * [taylor]: Taking taylor expansion of -1 in x 1.670 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.670 * [taylor]: Taking taylor expansion of y in x 1.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.670 * [taylor]: Taking taylor expansion of -1 in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.672 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.678 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.678 * [approximate]: Taking taylor expansion of (/ (pow z 2) y) in (z y) around 0 1.678 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.678 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.678 * [taylor]: Taking taylor expansion of z in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.678 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.678 * [taylor]: Taking taylor expansion of z in z 1.678 * [taylor]: Taking taylor expansion of y in z 1.679 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.679 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.679 * [taylor]: Taking taylor expansion of z in z 1.679 * [taylor]: Taking taylor expansion of y in z 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.681 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [approximate]: Taking taylor expansion of (/ y (pow z 2)) in (z y) around 0 1.688 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.688 * [taylor]: Taking taylor expansion of z in y 1.689 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.689 * [taylor]: Taking taylor expansion of y in z 1.689 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.689 * [taylor]: Taking taylor expansion of z in z 1.689 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.689 * [taylor]: Taking taylor expansion of y in z 1.689 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.689 * [taylor]: Taking taylor expansion of z in z 1.689 * [taylor]: Taking taylor expansion of y in y 1.691 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [approximate]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in (z y) around 0 1.694 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in y 1.694 * [taylor]: Taking taylor expansion of -1 in y 1.694 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.694 * [taylor]: Taking taylor expansion of z in y 1.695 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.695 * [taylor]: Taking taylor expansion of -1 in z 1.695 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.695 * [taylor]: Taking taylor expansion of y in z 1.695 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.695 * [taylor]: Taking taylor expansion of z in z 1.695 * [taylor]: Taking taylor expansion of (* -1 (/ y (pow z 2))) in z 1.695 * [taylor]: Taking taylor expansion of -1 in z 1.695 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.695 * [taylor]: Taking taylor expansion of y in z 1.695 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.695 * [taylor]: Taking taylor expansion of z in z 1.695 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.696 * [taylor]: Taking taylor expansion of -1 in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.697 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.703 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.704 * [approximate]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in (y x z) around 0 1.704 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in z 1.704 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in z 1.704 * [taylor]: Taking taylor expansion of y in z 1.704 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in z 1.704 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.704 * [taylor]: Taking taylor expansion of x in z 1.704 * [taylor]: Taking taylor expansion of y in z 1.704 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in z 1.704 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.704 * [taylor]: Taking taylor expansion of z in z 1.704 * [taylor]: Taking taylor expansion of y in z 1.704 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in x 1.704 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in x 1.704 * [taylor]: Taking taylor expansion of y in x 1.704 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in x 1.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in x 1.705 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.705 * [taylor]: Taking taylor expansion of z in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 1.705 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.705 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.705 * [taylor]: Taking taylor expansion of x in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.705 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.705 * [taylor]: Taking taylor expansion of z in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.705 * [taylor]: Taking taylor expansion of (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) in y 1.705 * [taylor]: Taking taylor expansion of (+ y (/ (pow x 2) y)) in y 1.705 * [taylor]: Taking taylor expansion of y in y 1.706 * [taylor]: Taking taylor expansion of (/ (pow x 2) y) in y 1.706 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.706 * [taylor]: Taking taylor expansion of x in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [taylor]: Taking taylor expansion of (/ (pow z 2) y) in y 1.706 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.706 * [taylor]: Taking taylor expansion of z in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow z 2)) in x 1.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.706 * [taylor]: Taking taylor expansion of z in x 1.706 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 1.706 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.706 * [taylor]: Taking taylor expansion of z in z 1.709 * [taylor]: Taking taylor expansion of 0 in x 1.709 * [taylor]: Taking taylor expansion of 0 in z 1.709 * [taylor]: Taking taylor expansion of 0 in z 1.713 * [taylor]: Taking taylor expansion of 1 in x 1.713 * [taylor]: Taking taylor expansion of 1 in z 1.713 * [taylor]: Taking taylor expansion of 0 in z 1.714 * [taylor]: Taking taylor expansion of 1 in z 1.716 * [approximate]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in (y x z) around 0 1.716 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in z 1.716 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 1.716 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 1.716 * [taylor]: Taking taylor expansion of y in z 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.716 * [taylor]: Taking taylor expansion of x in z 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.716 * [taylor]: Taking taylor expansion of y in z 1.716 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.716 * [taylor]: Taking taylor expansion of y in z 1.716 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.716 * [taylor]: Taking taylor expansion of z in z 1.716 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 1.716 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.717 * [taylor]: Taking taylor expansion of z in x 1.717 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 1.717 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.717 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.717 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.717 * [taylor]: Taking taylor expansion of x in y 1.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.717 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.718 * [taylor]: Taking taylor expansion of z in y 1.718 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow x 2)) (/ 1 y)) (/ y (pow z 2))) in y 1.718 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.718 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.719 * [taylor]: Taking taylor expansion of z in y 1.719 * [taylor]: Taking taylor expansion of 1 in x 1.720 * [taylor]: Taking taylor expansion of 0 in x 1.721 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.722 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.722 * [taylor]: Taking taylor expansion of z in x 1.722 * [taylor]: Taking taylor expansion of 1 in z 1.722 * [taylor]: Taking taylor expansion of 1 in z 1.724 * [taylor]: Taking taylor expansion of 0 in x 1.725 * [taylor]: Taking taylor expansion of 0 in z 1.725 * [taylor]: Taking taylor expansion of 0 in z 1.725 * [taylor]: Taking taylor expansion of 0 in z 1.728 * [taylor]: Taking taylor expansion of 0 in x 1.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.729 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.729 * [taylor]: Taking taylor expansion of z in z 1.730 * [taylor]: Taking taylor expansion of 0 in z 1.730 * [taylor]: Taking taylor expansion of 0 in z 1.731 * [approximate]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in (y x z) around 0 1.731 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in z 1.731 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in z 1.731 * [taylor]: Taking taylor expansion of y in z 1.731 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.731 * [taylor]: Taking taylor expansion of z in z 1.732 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in z 1.732 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in z 1.732 * [taylor]: Taking taylor expansion of y in z 1.732 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.732 * [taylor]: Taking taylor expansion of x in z 1.732 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.732 * [taylor]: Taking taylor expansion of y in z 1.732 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in x 1.732 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in x 1.732 * [taylor]: Taking taylor expansion of y in x 1.732 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.732 * [taylor]: Taking taylor expansion of z in x 1.732 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in x 1.732 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in x 1.732 * [taylor]: Taking taylor expansion of y in x 1.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.733 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 1.733 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.733 * [taylor]: Taking taylor expansion of z in y 1.733 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.733 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.733 * [taylor]: Taking taylor expansion of x in y 1.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [taylor]: Taking taylor expansion of (- (/ y (pow z 2)) (+ (/ y (pow x 2)) (/ 1 y))) in y 1.733 * [taylor]: Taking taylor expansion of (/ y (pow z 2)) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.733 * [taylor]: Taking taylor expansion of z in y 1.734 * [taylor]: Taking taylor expansion of (+ (/ y (pow x 2)) (/ 1 y)) in y 1.734 * [taylor]: Taking taylor expansion of (/ y (pow x 2)) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.734 * [taylor]: Taking taylor expansion of x in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.735 * [taylor]: Taking taylor expansion of -1 in x 1.736 * [taylor]: Taking taylor expansion of 0 in x 1.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2)) (/ 1 (pow x 2))) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.737 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.737 * [taylor]: Taking taylor expansion of z in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of -1 in z 1.738 * [taylor]: Taking taylor expansion of -1 in z 1.740 * [taylor]: Taking taylor expansion of 0 in x 1.742 * [taylor]: Taking taylor expansion of 0 in z 1.742 * [taylor]: Taking taylor expansion of 0 in z 1.742 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [taylor]: Taking taylor expansion of 0 in x 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.746 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.746 * [taylor]: Taking taylor expansion of z in z 1.746 * [taylor]: Taking taylor expansion of 0 in z 1.747 * [taylor]: Taking taylor expansion of 0 in z 1.747 * * * [progress]: simplifying candidates 1.749 * [simplify]: Simplifying using # : (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) (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) (fma (* (cbrt (+ y (* x (/ x y)))) (cbrt (+ y (* x (/ x y))))) (cbrt (+ y (* x (/ x y)))) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (fma (sqrt (+ y (* x (/ x y)))) (sqrt (+ y (* x (/ x y)))) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (fma 1 (+ y (* x (/ x y))) (- (* (/ z y) z))) (fma (- (/ z y)) z (* (/ z y) z)) (expm1 (- (+ y (* x (/ x y))) (* z (/ z y)))) (log1p (- (+ y (* x (/ x y))) (* z (/ z y)))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (/ (* (exp y) (exp (* x (/ x y)))) (exp (* z (/ z y)))) (/ (exp (+ y (* x (/ x y)))) (exp (* z (/ z y)))) (log (- (+ y (* x (/ x y))) (* z (/ z y)))) (exp (- (+ y (* x (/ x y))) (* z (/ z y)))) (* (cbrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (cbrt (- (+ y (* x (/ x y))) (* z (/ z y))))) (cbrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (* (* (- (+ y (* x (/ x y))) (* z (/ z y))) (- (+ y (* x (/ x y))) (* z (/ z y)))) (- (+ y (* x (/ x y))) (* z (/ z y)))) (sqrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (sqrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (- (* (+ (pow y 3) (pow (* x (/ x y)) 3)) y) (* (+ (* y y) (- (* (* x (/ x y)) (* x (/ x y))) (* y (* x (/ x y))))) (* z z))) (* (+ (* y y) (- (* (* x (/ x y)) (* x (/ x y))) (* y (* x (/ x y))))) y) (- (* (- (* y y) (* (* x (/ x y)) (* x (/ x y)))) y) (* (- y (* x (/ x y))) (* z z))) (* (- y (* x (/ x y))) y) (- (pow (+ y (* x (/ x y))) 3) (pow (* z (/ z y)) 3)) (+ (* (+ y (* x (/ x y))) (+ y (* x (/ x y)))) (+ (* (* z (/ z y)) (* z (/ z y))) (* (+ y (* x (/ x y))) (* z (/ z y))))) (- (* z (/ z y))) (- (* (+ y (* x (/ x y))) (+ y (* x (/ x y)))) (* (* z (/ z y)) (* z (/ z y)))) (+ (+ y (* x (/ x y))) (* z (/ z y))) (- (* x (/ x y)) (* z (/ z y))) (- (* z (/ z y))) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow x 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (/ (pow z 2) y) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) (- (+ y (/ (pow x 2) y)) (/ (pow z 2) y)) 1.756 * * [simplify]: iteration 0 : 462 enodes (cost 544 ) 1.769 * * [simplify]: iteration 1 : 2217 enodes (cost 475 ) 1.817 * * [simplify]: iteration 2 : 5001 enodes (cost 468 ) 1.821 * [simplify]: Simplified to: (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) (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) (fma (* (cbrt (+ y (* x (/ x y)))) (cbrt (+ y (* x (/ x y))))) (cbrt (+ y (* x (/ x y)))) (- (* (/ z y) z))) (* (/ z y) (+ (- z) z)) (- (fma x (/ x y) y) (* z (/ z y))) (* (/ z y) (+ (- z) z)) (- (fma x (/ x y) y) (* z (/ z y))) (* (/ z y) (+ (- z) z)) (expm1 (- (+ y (* x (/ x y))) (* z (/ z y)))) (log1p (- (+ y (* x (/ x y))) (* z (/ z y)))) (- (* z (/ z y))) (- (* z (/ z y))) (- (* z (/ z y))) (exp (- (fma x (/ x y) y) (* z (/ z y)))) (exp (- (fma x (/ x y) y) (* z (/ z y)))) (log (- (+ y (* x (/ x y))) (* z (/ z y)))) (exp (- (fma x (/ x y) y) (* z (/ z y)))) (* (cbrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (cbrt (- (+ y (* x (/ x y))) (* z (/ z y))))) (cbrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (pow (- (fma x (/ x y) y) (* z (/ z y))) 3) (sqrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (sqrt (- (+ y (* x (/ x y))) (* z (/ z y)))) (fma (- (fma (* x (/ x y)) (- (* x (/ x y)) y) (* y y))) (pow z 2) (* (+ (pow y 3) (pow (* x (/ x y)) 3)) y)) (fma y (* (* x (/ x y)) (- (* x (/ x y)) y)) (pow y 3)) (fma (* (fma x (/ x y) y) y) (- y (* x (/ x y))) (- (* (- y (* x (/ x y))) (* z z)))) (* (- y (* x (/ x y))) y) (- (pow (+ y (* x (/ x y))) 3) (pow (* z (/ z y)) 3)) (fma z (* (/ z y) (fma z (/ z y) (+ y (/ (pow x 2) y)))) (* (fma x (/ x y) y) (fma x (/ x y) y))) (- (* z (/ z y))) (fma (- z) (/ (/ (pow z 3) y) y) (* (fma x (/ x y) y) (fma x (/ x y) y))) (fma z (/ z y) (+ y (/ (pow x 2) y))) (- (* x (/ x y)) (* z (/ z y))) (- (* z (/ z y))) (* x (/ x y)) (* x (/ x y)) (* x (/ x y)) (* z (/ z y)) (* z (/ z y)) (* z (/ z y)) (- (fma x (/ x y) y) (* z (/ z y))) (- (fma x (/ x y) y) (* z (/ z y))) (- (fma x (/ x y) y) (* z (/ z y))) 1.821 * * * [progress]: adding candidates to table 2.025 * [progress]: [Phase 3 of 3] Extracting. 2.026 * * [regime]: Finding splitpoints for: (# # # # #) 2.027 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.027 * * * * [regimes]: Trying to branch on z from (# # # # #) 2.055 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.080 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.108 * * * [regime]: Found split indices: #