45.201 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) 0.053 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.055 * * [simplify]: iteration 1 : 42 enodes (cost 9 ) 0.056 * * [simplify]: iteration 2 : 76 enodes (cost 9 ) 0.058 * * [simplify]: iteration 3 : 94 enodes (cost 9 ) 0.059 * * [simplify]: iteration 4 : 102 enodes (cost 9 ) 0.061 * * [simplify]: iteration 5 : 102 enodes (cost 9 ) 0.061 * [simplify]: Simplified to: (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.106 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.111 * [approximate]: Approximating (sqrt (- (pow b 2) (* 3.0 (* a c)))) in (b a c) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.125 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 0.130 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.133 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.135 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 0.152 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.168 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.180 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.180 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.182 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.191 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.191 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 0.207 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.207 * [approximate]: Approximating (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in (b a c) around 0 0.213 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.220 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 0.226 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.228 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.231 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 0.234 * [approximate]: Approximating (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in (b a c) around 0 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.252 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 0.252 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.267 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 0.272 * [approximate]: Approximating (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in (b a c) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 0.306 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.306 * [approximate]: Approximating (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in (b a c) around 0 0.314 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in a 0.319 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in a 0.326 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.330 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in a 0.356 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.358 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.364 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in a 0.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.387 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.388 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.400 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) a)) in c 0.402 * [approximate]: Approximating (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in (b a c) around 0 0.413 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in a 0.415 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in a 0.415 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.420 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in a 0.420 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.420 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.426 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in a 0.426 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.428 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.428 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.436 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in a 0.436 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.439 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.440 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.440 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.440 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) a)) in c 0.442 * [approximate]: Approximating (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in (b a c) around 0 0.452 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in a 0.454 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in a 0.454 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.459 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in a 0.459 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.460 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.465 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in a 0.465 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.466 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.466 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.477 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in a 0.478 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.480 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.480 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.480 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.481 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (* a (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))))) in c 0.482 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.483 * [approximate]: Approximating (- (pow b 2) (* 3.0 (* a c))) in (b a c) around 0 0.483 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 0.484 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.485 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 0.485 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.486 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.488 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 0.488 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.488 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.490 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.495 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 0.495 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.495 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.496 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.498 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 0.499 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 0.502 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.519 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 0.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 0.538 * * * [progress]: simplifying candidates 0.539 * [simplify]: Simplifying using # : (log (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt 1) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c))))) (sqrt (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c)))) (sqrt (+ (* b b) (* (* 3.0 a) c))) (/ 1 2) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (/ 1 (exp b)) (exp (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (exp (neg b)) (exp (sqrt (- (* b b) (* (* 3.0 a) c))))) (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (exp (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (pow (neg b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3)) (+ (* (neg b) (neg b)) (- (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- (* (neg b) (neg b)) (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (- (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (log 3.0) (log a))) (- (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (log (* 3.0 a))) (log (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (exp (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (/ (* (* (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a))) (/ (* (* (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* (* 3.0 a) (* 3.0 a)) (* 3.0 a))) (* (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))) (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (* (* (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (sqrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (sqrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (neg (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (neg (* 3.0 a)) (/ 0 (* 3.0 a)) (/ (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) (/ (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) 3.0) (/ (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a) (/ (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) (/ (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 (* 3.0 a)) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (/ (* 3.0 a) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (/ (* 3.0 a) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* 3.0 a) (+ (* (neg b) (neg b)) (- (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (exp (* b b)) (exp (* (* 3.0 a) c))) (log (- (* b b) (* (* 3.0 a) c))) (exp (- (* b b) (* (* 3.0 a) c))) (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (- (* b b) (* (* 3.0 a) c))) (* (* (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c))) (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c)))) (neg (* (* 3.0 a) c)) (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c))) (+ (* b b) (* (* 3.0 a) c)) (neg (* (* 3.0 a) c)) (- (* a (* NAN c)) (* 1/2 (* NAN (pow b 2)))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* a (* NAN c)) (+ (* 1/2 (* NAN (pow b 2))) b)) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (+ (* 0.3333333333333333 (* a (* (pow NAN 3) (pow c 2)))) (* 0.3333333333333333 (* NAN c))) (* -0.5 (/ c b)) (- (* 0.5 (/ c b)) (* 0.6666666666666666 (/ b a))) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) 0.545 * * [simplify]: iteration 0 : 391 enodes (cost 774 ) 0.552 * * [simplify]: iteration 1 : 1518 enodes (cost 684 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 674 ) 0.583 * [simplify]: Simplified to: (log (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3) (fabs (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt 1) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c))))) (sqrt (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c)))) (sqrt (+ (* b b) (* (* 3.0 a) c))) 1/2 (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (pow (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3) (pow b 3)) (- (* b (+ b b)) (- (* 3.0 (* a c)) (* b (sqrt (- (* b b) (* (* 3.0 a) c)))))) (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (log (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (log (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (log (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (exp (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (pow (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) 3) (pow (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) 3) (* (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))) (cbrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (pow (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) 3) (sqrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (sqrt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))) (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (neg (* 3.0 a)) 0 (/ (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) (/ (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) 3.0) (/ (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a) (/ (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0) (/ (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 3.0) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) (/ 1 (* 3.0 a)) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (/ (* 3.0 a) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (/ (* 3.0 a) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ (* 3.0 a) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* (+ (+ (pow b 2) (- (* b b) (* (* 3.0 a) c))) (* b (sqrt (- (* b b) (* (* 3.0 a) c))))) a) 3.0) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (exp (- (* b b) (* (* 3.0 a) c))) (log (- (* b b) (* (* 3.0 a) c))) (exp (- (* b b) (* (* 3.0 a) c))) (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (- (* b b) (* (* 3.0 a) c))) (pow (- (* b b) (* (* 3.0 a) c)) 3) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* (* 3.0 a) c) (+ (* (* 3.0 a) c) (pow b 2))) (* (* b b) (* b b))) (neg (* (* 3.0 a) c)) (+ (neg (* (* (* 3.0 a) c) (* (* 3.0 a) c))) (pow b 4)) (+ (* b b) (* (* 3.0 a) c)) (neg (* (* 3.0 a) c)) (* NAN (- (* a c) (* (pow b 2) 1/2))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* NAN (- (* a c) (* (pow b 2) 1/2))) b) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (* 0.3333333333333333 (+ (* a (* (pow NAN 3) (pow c 2))) (* NAN c))) (* -0.5 (/ c b)) (- (* 0.5 (/ c b)) (* 0.6666666666666666 (/ b a))) (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c)) 0.584 * * * [progress]: adding candidates to table 0.932 * * [progress]: iteration 2 / 4 0.932 * * * [progress]: picking best candidate 0.968 * * * * [pick]: Picked # 0.968 * * * [progress]: localizing error 0.983 * * * [progress]: generating rewritten candidates 0.983 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.994 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.998 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 1.004 * * * [progress]: generating series expansions 1.005 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.005 * [approximate]: Approximating (sqrt (- (pow b 2) (* 3.0 (* a c)))) in (b a c) around 0 1.011 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.014 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.014 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.014 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.014 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.017 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.023 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.025 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.028 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.032 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.032 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.038 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.038 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.041 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.044 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 1.053 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.053 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.053 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.057 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.057 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.069 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.073 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 1.082 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.083 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.083 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.085 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.086 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.086 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.086 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.089 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.090 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.090 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.090 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.095 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.097 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.097 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.098 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.098 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.098 * [approximate]: Approximating (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in (b a c) around 0 1.105 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.107 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.108 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.108 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.108 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.112 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.118 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.120 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.123 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.125 * [approximate]: Approximating (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in (b a c) around 0 1.136 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.137 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.137 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.144 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.144 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.146 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.146 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.150 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.152 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.152 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.152 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.159 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.161 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.161 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.164 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.164 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.164 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.164 * [approximate]: Approximating (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in (b a c) around 0 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.199 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.199 * [approximate]: Approximating (- (pow b 2) (* 3.0 (* a c))) in (b a c) around 0 1.200 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 1.200 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.201 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 1.202 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.202 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.205 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 1.205 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.205 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.207 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.212 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 1.212 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.212 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.212 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.214 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 1.215 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 1.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.238 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 1.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.245 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 1.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 1.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 1.258 * [approximate]: Approximating (* 3.0 (* a c)) in (a c) around 0 1.259 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 1.260 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 1.261 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 1.265 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 1.268 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 1.268 * [approximate]: Approximating (/ 3.0 (* a c)) in (a c) around 0 1.270 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.271 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.273 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.275 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.276 * [approximate]: Approximating (/ 3.0 (* a c)) in (a c) around 0 1.277 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.278 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.280 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.282 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 1.283 * * * [progress]: simplifying candidates 1.284 * [simplify]: Simplifying using # : (log (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt 1) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c))))) (sqrt (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c)))) (sqrt (+ (* b b) (* (* 3.0 a) c))) (/ 1 2) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (/ 1 (exp b)) (exp (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (exp (neg b)) (exp (sqrt (- (* b b) (* (* 3.0 a) c))))) (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (exp (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* (* (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (+ (pow (neg b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3)) (+ (* (neg b) (neg b)) (- (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- (* (neg b) (neg b)) (* (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (exp (* b b)) (exp (* (* 3.0 a) c))) (log (- (* b b) (* (* 3.0 a) c))) (exp (- (* b b) (* (* 3.0 a) c))) (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (- (* b b) (* (* 3.0 a) c))) (* (* (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c))) (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c)))) (neg (* (* 3.0 a) c)) (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c))) (+ (* b b) (* (* 3.0 a) c)) (neg (* (* 3.0 a) c)) (* (* 3.0 a) c) (* (* 3.0 a) c) (+ (+ (log 3.0) (log a)) (log c)) (+ (log (* 3.0 a)) (log c)) (log (* (* 3.0 a) c)) (exp (* (* 3.0 a) c)) (* (* (* (* 3.0 3.0) 3.0) (* (* a a) a)) (* (* c c) c)) (* (* (* (* 3.0 a) (* 3.0 a)) (* 3.0 a)) (* (* c c) c)) (* (cbrt (* (* 3.0 a) c)) (cbrt (* (* 3.0 a) c))) (cbrt (* (* 3.0 a) c)) (* (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* 3.0 a) c)) (sqrt (* (* 3.0 a) c)) (sqrt (* (* 3.0 a) c)) (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* 3.0 a) (sqrt c)) (* (* 3.0 a) 1) (* a c) (- (* a (* NAN c)) (* 1/2 (* NAN (pow b 2)))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* a (* NAN c)) (+ (* 1/2 (* NAN (pow b 2))) b)) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) 1.289 * * [simplify]: iteration 0 : 302 enodes (cost 468 ) 1.295 * * [simplify]: iteration 1 : 1299 enodes (cost 428 ) 1.323 * * [simplify]: iteration 2 : 5002 enodes (cost 417 ) 1.326 * [simplify]: Simplified to: (log (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3) (fabs (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) 1 (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* 3.0 a) c) (* (* 3.0 a) c)) (* (* b b) (* (* 3.0 a) c))))) (sqrt (- (* (* b b) (* b b)) (* (* (* 3.0 a) c) (* (* 3.0 a) c)))) (sqrt (+ (* b b) (* (* 3.0 a) c))) 1/2 (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (log (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (exp (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (pow (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3) (pow b 3)) (- (* b (+ b b)) (- (* 3.0 (* a c)) (* b (sqrt (- (* b b) (* (* 3.0 a) c)))))) (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (- b (sqrt (- (* b b) (* (* 3.0 a) c)))) (exp (- (* b b) (* (* 3.0 a) c))) (log (- (* b b) (* (* 3.0 a) c))) (exp (- (* b b) (* (* 3.0 a) c))) (* (cbrt (- (* b b) (* (* 3.0 a) c))) (cbrt (- (* b b) (* (* 3.0 a) c)))) (cbrt (- (* b b) (* (* 3.0 a) c))) (pow (- (* b b) (* (* 3.0 a) c)) 3) (sqrt (- (* b b) (* (* 3.0 a) c))) (sqrt (- (* b b) (* (* 3.0 a) c))) (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* (* 3.0 a) c) (+ (* (* 3.0 a) c) (pow b 2))) (* (* b b) (* b b))) (neg (* (* 3.0 a) c)) (+ (neg (* (* (* 3.0 a) c) (* (* 3.0 a) c))) (pow b 4)) (+ (* b b) (* (* 3.0 a) c)) (neg (* (* 3.0 a) c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (log (* (* 3.0 a) c)) (log (* (* 3.0 a) c)) (log (* (* 3.0 a) c)) (exp (* (* 3.0 a) c)) (pow (* (* 3.0 a) c) 3) (pow (* (* 3.0 a) c) 3) (* (cbrt (* (* 3.0 a) c)) (cbrt (* (* 3.0 a) c))) (cbrt (* (* 3.0 a) c)) (pow (* (* 3.0 a) c) 3) (sqrt (* (* 3.0 a) c)) (sqrt (* (* 3.0 a) c)) (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* 3.0 a) (sqrt c)) (* 3.0 a) (* a c) (* NAN (- (* a c) (* (pow b 2) 1/2))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* NAN (- (* a c) (* (pow b 2) 1/2))) b) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c)) (- (* b b) (* (* 3.0 a) c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) 1.326 * * * [progress]: adding candidates to table 1.722 * * [progress]: iteration 3 / 4 1.722 * * * [progress]: picking best candidate 1.765 * * * * [pick]: Picked # 1.766 * * * [progress]: localizing error 1.777 * * * [progress]: generating rewritten candidates 1.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.781 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.789 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 1.794 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.799 * * * [progress]: generating series expansions 1.799 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.799 * [approximate]: Approximating (sqrt (- (pow b 2) (* 3.0 (* a c)))) in (b a c) around 0 1.806 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.808 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.808 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.808 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.808 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.812 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.817 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.819 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.822 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.831 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in a 1.831 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.836 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.836 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.840 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* 3.0 (* a c)))) in c 1.842 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 1.852 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.852 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.852 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.855 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.855 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.855 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.856 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.859 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.859 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.859 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.859 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.864 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.866 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.866 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.867 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.867 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.867 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.868 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in (b a c) around 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.877 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.877 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.880 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.880 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.881 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.881 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.884 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.884 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.884 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.884 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.889 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in a 1.891 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.891 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.892 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.893 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.893 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) in c 1.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.893 * [approximate]: Approximating (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in (b a c) around 0 1.900 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.903 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.903 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.903 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.903 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.912 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in a 1.918 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.921 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.923 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) in c 1.926 * [approximate]: Approximating (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in (b a c) around 0 1.937 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.938 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.939 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.942 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.943 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.944 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.944 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.948 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.950 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.950 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.950 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.957 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in a 1.959 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.960 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.962 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.962 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.962 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c))))) (/ 1 b)) in c 1.963 * [approximate]: Approximating (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in (b a c) around 0 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in a 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (sqrt (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))))) in c 2.004 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 2.004 * [approximate]: Approximating (* 3.0 (* a c)) in (a c) around 0 2.004 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 2.005 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 2.007 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 2.010 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 2.014 * [taylor]: Taking taylor expansion of (* 3.0 (* a c)) in c 2.014 * [approximate]: Approximating (/ 3.0 (* a c)) in (a c) around 0 2.015 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.016 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.018 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.020 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.021 * [approximate]: Approximating (/ 3.0 (* a c)) in (a c) around 0 2.023 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.024 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.026 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.028 * [taylor]: Taking taylor expansion of (/ 3.0 (* a c)) in c 2.029 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.029 * [approximate]: Approximating (- (pow b 2) (* 3.0 (* a c))) in (b a c) around 0 2.030 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 2.030 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.031 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 2.031 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.032 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.035 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 2.035 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.035 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.037 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.042 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in a 2.042 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.042 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.042 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.044 * [taylor]: Taking taylor expansion of (- (pow b 2) (* 3.0 (* a c))) in c 2.045 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 2.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.057 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.057 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.057 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.065 * [approximate]: Approximating (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in (b a c) around 0 2.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in a 2.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (* 3.0 (/ 1 (* a c)))) in c 2.090 * * * [progress]: simplifying candidates 2.091 * [simplify]: Simplifying using # : (log (sqrt (- (* b b) (* 3.0 (* a c))))) (exp (sqrt (- (* b b) (* 3.0 (* a c))))) (* (cbrt (sqrt (- (* b b) (* 3.0 (* a c))))) (cbrt (sqrt (- (* b b) (* 3.0 (* a c)))))) (cbrt (sqrt (- (* b b) (* 3.0 (* a c))))) (* (* (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (* (cbrt (- (* b b) (* 3.0 (* a c)))) (cbrt (- (* b b) (* 3.0 (* a c)))))) (sqrt (cbrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt 1) (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (pow (* b b) 3) (pow (* 3.0 (* a c)) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* 3.0 (* a c)) (* 3.0 (* a c))) (* (* b b) (* 3.0 (* a c)))))) (sqrt (- (* (* b b) (* b b)) (* (* 3.0 (* a c)) (* 3.0 (* a c))))) (sqrt (+ (* b b) (* 3.0 (* a c)))) (/ 1 2) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (* (/ 1 (exp b)) (exp (sqrt (- (* b b) (* 3.0 (* a c)))))) (* (exp (neg b)) (exp (sqrt (- (* b b) (* 3.0 (* a c)))))) (log (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (exp (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* (* (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (+ (pow (neg b) 3) (pow (sqrt (- (* b b) (* 3.0 (* a c)))) 3)) (+ (* (neg b) (neg b)) (- (* (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c))))) (* (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) (- (* (neg b) (neg b)) (* (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c)))))) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (- b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 3.0 (* a c)) (* 3.0 (* a c)) (+ (log 3.0) (+ (log a) (log c))) (+ (log 3.0) (log (* a c))) (log (* 3.0 (* a c))) (exp (* 3.0 (* a c))) (* (* (* 3.0 3.0) 3.0) (* (* (* a a) a) (* (* c c) c))) (* (* (* 3.0 3.0) 3.0) (* (* (* a c) (* a c)) (* a c))) (* (cbrt (* 3.0 (* a c))) (cbrt (* 3.0 (* a c)))) (cbrt (* 3.0 (* a c))) (* (* (* 3.0 (* a c)) (* 3.0 (* a c))) (* 3.0 (* a c))) (sqrt (* 3.0 (* a c))) (sqrt (* 3.0 (* a c))) (* 3.0 a) (* (cbrt 3.0) (* a c)) (* (sqrt 3.0) (* a c)) (* 3.0 (* a c)) (/ (exp (* b b)) (exp (* 3.0 (* a c)))) (log (- (* b b) (* 3.0 (* a c)))) (exp (- (* b b) (* 3.0 (* a c)))) (* (cbrt (- (* b b) (* 3.0 (* a c)))) (cbrt (- (* b b) (* 3.0 (* a c))))) (cbrt (- (* b b) (* 3.0 (* a c)))) (* (* (- (* b b) (* 3.0 (* a c))) (- (* b b) (* 3.0 (* a c)))) (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c)))) (- (pow (* b b) 3) (pow (* 3.0 (* a c)) 3)) (+ (* (* b b) (* b b)) (+ (* (* 3.0 (* a c)) (* 3.0 (* a c))) (* (* b b) (* 3.0 (* a c))))) (neg (* 3.0 (* a c))) (- (* (* b b) (* b b)) (* (* 3.0 (* a c)) (* 3.0 (* a c)))) (+ (* b b) (* 3.0 (* a c))) (neg (* 3.0 (* a c))) (- (* a (* NAN c)) (* 1/2 (* NAN (pow b 2)))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* a (* NAN c)) (+ (* 1/2 (* NAN (pow b 2))) b)) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) (- (pow b 2) (* 3.0 (* a c))) 2.096 * * [simplify]: iteration 0 : 292 enodes (cost 467 ) 2.101 * * [simplify]: iteration 1 : 1079 enodes (cost 427 ) 2.124 * * [simplify]: iteration 2 : 4710 enodes (cost 416 ) 2.217 * * [simplify]: iteration 3 : 5003 enodes (cost 415 ) 2.220 * [simplify]: Simplified to: (log (sqrt (- (* b b) (* 3.0 (* a c))))) (exp (sqrt (- (* b b) (* 3.0 (* a c))))) (* (cbrt (sqrt (- (* b b) (* 3.0 (* a c))))) (cbrt (sqrt (- (* b b) (* 3.0 (* a c)))))) (cbrt (sqrt (- (* b b) (* 3.0 (* a c))))) (pow (sqrt (- (* b b) (* 3.0 (* a c)))) 3) (fabs (cbrt (- (* b b) (* 3.0 (* a c))))) (sqrt (cbrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) 1 (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (pow (* b b) 3) (pow (* 3.0 (* a c)) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* 3.0 (* a c)) (* 3.0 (* a c))) (* (* b b) (* 3.0 (* a c)))))) (sqrt (- (* (* b b) (* b b)) (* (* 3.0 (* a c)) (* 3.0 (* a c))))) (sqrt (+ (* b b) (* 3.0 (* a c)))) 1/2 (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (sqrt (sqrt (- (* b b) (* 3.0 (* a c))))) (exp (- (sqrt (- (* b b) (* 3.0 (* a c)))) b)) (exp (- (sqrt (- (* b b) (* 3.0 (* a c)))) b)) (log (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (exp (- (sqrt (- (* b b) (* 3.0 (* a c)))) b)) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (pow (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) 3) (sqrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (- (pow (sqrt (- (* b b) (* 3.0 (* a c)))) 3) (pow b 3)) (- (* b (+ b b)) (- (* 3.0 (* a c)) (* b (sqrt (- (* b b) (* 3.0 (* a c))))))) (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (- b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 3.0 (* a c)) (* 3.0 (* a c)) (log (* 3.0 (* a c))) (log (* 3.0 (* a c))) (log (* 3.0 (* a c))) (exp (* 3.0 (* a c))) (pow (* 3.0 (* a c)) 3) (pow (* 3.0 (* a c)) 3) (* (cbrt (* 3.0 (* a c))) (cbrt (* 3.0 (* a c)))) (cbrt (* 3.0 (* a c))) (pow (* 3.0 (* a c)) 3) (sqrt (* 3.0 (* a c))) (sqrt (* 3.0 (* a c))) (* 3.0 a) (* (cbrt 3.0) (* a c)) (* (sqrt 3.0) (* a c)) (* 3.0 (* a c)) (exp (- (* b b) (* 3.0 (* a c)))) (log (- (* b b) (* 3.0 (* a c)))) (exp (- (* b b) (* 3.0 (* a c)))) (* (cbrt (- (* b b) (* 3.0 (* a c)))) (cbrt (- (* b b) (* 3.0 (* a c))))) (cbrt (- (* b b) (* 3.0 (* a c)))) (pow (- (* b b) (* 3.0 (* a c))) 3) (sqrt (- (* b b) (* 3.0 (* a c)))) (sqrt (- (* b b) (* 3.0 (* a c)))) (- (pow (* b b) 3) (pow (* 3.0 (* a c)) 3)) (- (* (* 3.0 (* a c)) (+ (* 3.0 (* a c)) (pow b 2))) (neg (pow b 4))) (neg (* 3.0 (* a c))) (+ (neg (* (* 3.0 (* a c)) (* 3.0 (* a c)))) (pow b 4)) (+ (* b b) (* 3.0 (* a c))) (neg (* 3.0 (* a c))) (* NAN (- (* a c) (* (pow b 2) 1/2))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* NAN (- (* a c) (* (pow b 2) 1/2))) b) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (- (* b b) (* 3.0 (* a c))) (- (* b b) (* 3.0 (* a c))) (- (* b b) (* 3.0 (* a c))) 2.220 * * * [progress]: adding candidates to table 2.574 * * [progress]: iteration 4 / 4 2.574 * * * [progress]: picking best candidate 2.613 * * * * [pick]: Picked # 2.614 * * * [progress]: localizing error 2.629 * * * [progress]: generating rewritten candidates 2.629 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 2.632 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2 2) 2.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 2.663 * [approximate]: Approximating (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in (b a c) around 0 2.698 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in a 2.700 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.700 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in a 2.700 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.700 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.706 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in a 2.712 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.714 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.717 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.724 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in a 2.724 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.730 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.730 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.733 * [taylor]: Taking taylor expansion of (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) in c 2.737 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in (b a c) around 0 2.772 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.772 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.772 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.774 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.775 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.775 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.775 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.779 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.780 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.780 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.780 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.787 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.789 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.789 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.790 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.790 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.790 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.792 * [approximate]: Approximating (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in (b a c) around 0 2.819 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.819 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.819 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.822 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.822 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.823 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.823 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.827 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.828 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.828 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.828 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.834 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in a 2.836 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.836 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.837 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.837 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.837 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) in c 2.838 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.839 * [approximate]: Approximating (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in (b a c) around 0 2.878 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in a 2.880 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.881 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in a 2.881 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.881 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.887 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in a 2.893 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.895 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.898 * [taylor]: Taking taylor expansion of (- (sqrt (- (pow b 2) (* (pow (cbrt 3.0) 3) (* a c)))) b) in c 2.902 * [approximate]: Approximating (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in (b a c) around 0 2.937 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.938 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.938 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.942 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.943 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.944 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.944 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.949 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.951 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.951 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.951 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.960 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.962 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.962 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.965 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.965 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.965 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.967 * [approximate]: Approximating (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in (b a c) around 0 2.995 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.996 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 2.996 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 2.999 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 3.000 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.001 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.001 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.006 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 3.008 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.008 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.008 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.023 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in a 3.025 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.025 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.028 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.028 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.028 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow b 2)) (/ (pow (cbrt 3.0) 3) (* a c)))) (/ 1 b)) in c 3.028 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2 2) 3.029 * [approximate]: Approximating (* (cbrt 3.0) (* a c)) in (a c) around 0 3.032 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (* a c)) in c 3.033 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (* a c)) in c 3.037 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (* a c)) in c 3.043 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (* a c)) in c 3.049 * [taylor]: Taking taylor expansion of (* (cbrt 3.0) (* a c)) in c 3.050 * [approximate]: Approximating (/ (cbrt 3.0) (* a c)) in (a c) around 0 3.055 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.058 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.062 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.066 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.070 * [approximate]: Approximating (/ (cbrt 3.0) (* a c)) in (a c) around 0 3.075 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.078 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.081 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.085 * [taylor]: Taking taylor expansion of (/ (cbrt 3.0) (* a c)) in c 3.087 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 3.089 * [approximate]: Approximating (* (pow (cbrt 3.0) 3) (* a c)) in (a c) around 0 3.095 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (* a c)) in c 3.105 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (* a c)) in c 3.109 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (* a c)) in c 3.116 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (* a c)) in c 3.122 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3.0) 3) (* a c)) in c 3.124 * [approximate]: Approximating (/ (pow (cbrt 3.0) 3) (* a c)) in (a c) around 0 3.139 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.141 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.146 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.151 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.153 * [approximate]: Approximating (/ (pow (cbrt 3.0) 3) (* a c)) in (a c) around 0 3.168 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.170 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.174 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.179 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3.0) 3) (* a c)) in c 3.180 * * * [progress]: simplifying candidates 3.188 * [simplify]: Simplifying using # : (log (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (exp (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (* (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (* (cbrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (cbrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (cbrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt 1) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (sqrt (- (pow (* b b) 3) (pow (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (- (* (* b b) (* b b)) (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (+ (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (/ 1 2) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (/ 1 (exp b)) (exp (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (* (exp (neg b)) (exp (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (log (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (exp (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (* (* (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (+ (pow (neg b) 3) (pow (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) 3)) (+ (* (neg b) (neg b)) (- (* (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))))) (- (* (neg b) (neg b)) (* (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (- (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (- b (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (+ (log (cbrt 3.0)) (+ (log a) (log c))) (+ (log (cbrt 3.0)) (log (* a c))) (log (* (cbrt 3.0) (* a c))) (exp (* (cbrt 3.0) (* a c))) (* 3.0 (* (* (* a a) a) (* (* c c) c))) (* 3.0 (* (* (* a c) (* a c)) (* a c))) (* (cbrt (* (cbrt 3.0) (* a c))) (cbrt (* (cbrt 3.0) (* a c)))) (cbrt (* (cbrt 3.0) (* a c))) (* (* (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c))) (* (cbrt 3.0) (* a c))) (sqrt (* (cbrt 3.0) (* a c))) (sqrt (* (cbrt 3.0) (* a c))) (* (cbrt 3.0) a) (* (cbrt (cbrt 3.0)) (* a c)) (* (cbrt (sqrt 3.0)) (* a c)) (* (cbrt 3.0) (* a c)) (* (cbrt (cbrt 3.0)) (* a c)) (* (sqrt (cbrt 3.0)) (* a c)) (* (cbrt 3.0) (* a c)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (+ (+ (log (cbrt 3.0)) (log (cbrt 3.0))) (+ (log (cbrt 3.0)) (+ (log a) (log c)))) (+ (+ (log (cbrt 3.0)) (log (cbrt 3.0))) (+ (log (cbrt 3.0)) (log (* a c)))) (+ (+ (log (cbrt 3.0)) (log (cbrt 3.0))) (log (* (cbrt 3.0) (* a c)))) (+ (log (* (cbrt 3.0) (cbrt 3.0))) (+ (log (cbrt 3.0)) (+ (log a) (log c)))) (+ (log (* (cbrt 3.0) (cbrt 3.0))) (+ (log (cbrt 3.0)) (log (* a c)))) (+ (log (* (cbrt 3.0) (cbrt 3.0))) (log (* (cbrt 3.0) (* a c)))) (log (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (exp (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* 3.0 3.0) (* 3.0 (* (* (* a a) a) (* (* c c) c)))) (* (* 3.0 3.0) (* 3.0 (* (* (* a c) (* a c)) (* a c)))) (* (* 3.0 3.0) (* (* (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c))) (* (cbrt 3.0) (* a c)))) (* (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0))) (* 3.0 (* (* (* a a) a) (* (* c c) c)))) (* (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0))) (* 3.0 (* (* (* a c) (* a c)) (* a c)))) (* (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0))) (* (* (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c))) (* (cbrt 3.0) (* a c)))) (* (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (sqrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (sqrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0)) (* (cbrt 3.0) (* (cbrt 3.0) (* a c))) (- (* a (* NAN c)) (* 1/2 (* NAN (pow b 2)))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* a (* NAN c)) (+ (* 1/2 (* NAN (pow b 2))) b)) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) 3.195 * * [simplify]: iteration 0 : 378 enodes (cost 856 ) 3.202 * * [simplify]: iteration 1 : 1496 enodes (cost 724 ) 3.234 * * [simplify]: iteration 2 : 5002 enodes (cost 687 ) 3.238 * [simplify]: Simplified to: (log (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (exp (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (cbrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (pow (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) 3) (fabs (cbrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (cbrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt 1) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (sqrt (- (pow (* b b) 3) (pow (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) 3))) (sqrt (+ (* (* b b) (* b b)) (+ (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (* (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (- (* (* b b) (* b b)) (* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (+ (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) 1/2 (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (sqrt (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (exp (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b)) (exp (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b)) (log (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (exp (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b)) (* (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))))) (cbrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (pow (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b) 3) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (sqrt (+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))) (- (pow (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) 3) (pow b 3)) (+ (pow b 2) (+ (* (neg (* a c)) 3.0) (* b (+ (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b)))) (- (- (pow b 2) (* (neg (* a c)) 3.0)) (pow b 2)) (- (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b) (- (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) b) (- b (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (log (* (cbrt 3.0) (* a c))) (log (* (cbrt 3.0) (* a c))) (log (* (cbrt 3.0) (* a c))) (exp (* (cbrt 3.0) (* a c))) (pow (* (cbrt 3.0) (* a c)) 3) (pow (* (cbrt 3.0) (* a c)) 3) (* (cbrt (* (cbrt 3.0) (* a c))) (cbrt (* (cbrt 3.0) (* a c)))) (cbrt (* (cbrt 3.0) (* a c))) (pow (* (cbrt 3.0) (* a c)) 3) (sqrt (* (cbrt 3.0) (* a c))) (sqrt (* (cbrt 3.0) (* a c))) (* (cbrt 3.0) a) (* (cbrt (cbrt 3.0)) (* a c)) (* (cbrt (sqrt 3.0)) (* a c)) (* (cbrt 3.0) (* a c)) (* (cbrt (cbrt 3.0)) (* a c)) (* (sqrt (cbrt 3.0)) (* a c)) (* (cbrt 3.0) (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (+ (log (* a c)) (* 3 (log (cbrt 3.0)))) (pow (exp (* (pow (cbrt 3.0) 3) c)) a) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (* (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))) (cbrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (pow (* (* (pow (cbrt 3.0) 3) c) a) 3) (sqrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) (sqrt (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))) 3.0 (* (cbrt 3.0) (* (cbrt 3.0) (* a c))) (* NAN (- (* a c) (* (pow b 2) 1/2))) (- b (* 1.5 (/ (* a c) b))) (- (* 1.5 (/ (* a c) b)) b) (- (* NAN (- (* a c) (* (pow b 2) 1/2))) b) (* -1.5 (/ (* a c) b)) (- (* 1.5 (/ (* a c) b)) (* 2 b)) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (* (cbrt 3.0) (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) (* 3.0 (* a c)) 3.238 * * * [progress]: adding candidates to table 3.744 * [progress]: [Phase 3 of 3] Extracting. 3.744 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.747 * * * [regime-changes]: Trying 5 branch expressions: ((* 3.0 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c b a) 3.747 * * * * [regimes]: Trying to branch on (* 3.0 a) from (# # # # # # # # # #) 3.857 * * * * [regimes]: Trying to branch on (* 3.0 a) from (# # # #) 3.932 * * * * [regimes]: Trying to branch on (/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) from (# # # # # # # # # #) 4.037 * * * * [regimes]: Trying to branch on c from (# # # # # # # # # #) 4.145 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # #) 4.242 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # #) 4.351 * * * [regime]: Found split indices: #