24.220 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (* a (+ (+ b c) d)) 0.038 * * [simplify]: iteration 0 : 18 enodes (cost 3 ) 0.039 * * [simplify]: iteration 1 : 39 enodes (cost 3 ) 0.040 * * [simplify]: iteration 2 : 65 enodes (cost 3 ) 0.042 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.043 * * [simplify]: iteration 4 : 70 enodes (cost 3 ) 0.043 * [simplify]: Simplified to: (* a (+ (+ b c) d)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [approximate]: Approximating (* a (+ d (+ b c))) in (a b c d) around 0 0.067 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.067 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.067 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.069 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.071 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.071 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.071 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.071 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.085 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 0.089 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.095 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.097 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.098 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying using # : (* a (+ (+ b c) d)) (+ (log a) (log (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d))) (* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d)))) (cbrt (* a (+ (+ b c) d))) (* (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* a (+ b c)) (* a d) (* (+ b c) a) (* d a) (* a (* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d))) (* a 1) (* a 1) (* a 1) (* (cbrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d)) (* a (+ (+ b c) d)) (* a (+ (pow (+ b c) 3) (pow d 3))) (* a (- (* (+ b c) (+ b c)) (* d d))) 0 (+ (* d a) (+ (* a b) (* a c))) (+ (* d a) (+ (* a b) (* a c))) 0.102 * * [simplify]: iteration 0 : 146 enodes (cost 114 ) 0.105 * * [simplify]: iteration 1 : 738 enodes (cost 100 ) 0.123 * * [simplify]: iteration 2 : 4526 enodes (cost 100 ) 0.195 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.196 * [simplify]: Simplified to: (* a (+ (+ b c) d)) (log (* a (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d)))) (cbrt (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* a (+ b c)) (* a d) (* a (+ b c)) (* a d) (* a (* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d))) a a a (* (cbrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d)) (* a (+ (+ b c) d)) (* a (+ (pow (+ b c) 3) (pow d 3))) (* a (- (* (+ b c) (+ b c)) (* d d))) 0 (* a (+ (+ b c) d)) (* a (+ (+ b c) d)) 0.196 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.248 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.261 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.268 * * * [progress]: generating series expansions 0.268 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.268 * [approximate]: Approximating (* a (+ b c)) in (a b c) around 0 0.268 * [taylor]: Taking taylor expansion of (* a (+ b c)) in b 0.268 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.269 * [taylor]: Taking taylor expansion of (* a (+ b c)) in b 0.269 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.269 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.271 * [taylor]: Taking taylor expansion of (* a (+ b c)) in b 0.271 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.271 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.271 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.273 * [taylor]: Taking taylor expansion of (* a (+ b c)) in b 0.273 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.273 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.273 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.273 * [taylor]: Taking taylor expansion of (* a (+ b c)) in c 0.273 * [approximate]: Approximating (/ (+ (/ 1 c) (/ 1 b)) a) in (a b c) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.276 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.277 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.280 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.280 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.286 * [approximate]: Approximating (/ (+ (/ 1 c) (/ 1 b)) a) in (a b c) around 0 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.290 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.294 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in b 0.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 c) (/ 1 b)) a) in c 0.299 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.299 * [approximate]: Approximating (+ (* d a) (+ (* a b) (* a c))) in (a b c d) around 0 0.300 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.300 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.300 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.301 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.304 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.304 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.304 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.304 * [approximate]: Approximating (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in (a b c d) around 0 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.324 * [approximate]: Approximating (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in (a b c d) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.339 * * * [progress]: simplifying candidates 0.340 * [simplify]: Simplifying using # : (* a (+ b c)) (+ (log a) (log (+ b c))) (log (* a (+ b c))) (exp (* a (+ b c))) (* (* (* a a) a) (* (* (+ b c) (+ b c)) (+ b c))) (* (cbrt (* a (+ b c))) (cbrt (* a (+ b c)))) (cbrt (* a (+ b c))) (* (* (* a (+ b c)) (* a (+ b c))) (* a (+ b c))) (sqrt (* a (+ b c))) (sqrt (* a (+ b c))) (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c))) (* a b) (* a c) (* b a) (* c a) (* a (* (cbrt (+ b c)) (cbrt (+ b c)))) (* a (sqrt (+ b c))) (* a 1) (* a 1) (* (cbrt a) (+ b c)) (* (sqrt a) (+ b c)) (* a (+ b c)) (* a (+ (pow b 3) (pow c 3))) (* a (- (* b b) (* c c))) (* (exp (* a (+ b c))) (exp (* a d))) (log (+ (* a (+ b c)) (* a d))) (exp (+ (* a (+ b c)) (* a d))) (* (cbrt (+ (* a (+ b c)) (* a d))) (cbrt (+ (* a (+ b c)) (* a d)))) (cbrt (+ (* a (+ b c)) (* a d))) (* (* (+ (* a (+ b c)) (* a d)) (+ (* a (+ b c)) (* a d))) (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))) (+ (pow (* a (+ b c)) 3) (pow (* a d) 3)) (+ (* (* a (+ b c)) (* a (+ b c))) (- (* (* a d) (* a d)) (* (* a (+ b c)) (* a d)))) (- (* (* a (+ b c)) (* a (+ b c))) (* (* a d) (* a d))) (- (* a (+ b c)) (* a d)) (+ (+ b c) d) (+ (* a c) (* a d)) (+ (* c a) (* a d)) (+ (* a b) (* a c)) (+ (* a b) (* a c)) (+ (* a b) (* a c)) 0 (+ (* d a) (+ (* a b) (* a c))) (+ (* d a) (+ (* a b) (* a c))) 0.343 * * [simplify]: iteration 0 : 213 enodes (cost 177 ) 0.348 * * [simplify]: iteration 1 : 995 enodes (cost 159 ) 0.374 * * [simplify]: iteration 2 : 5001 enodes (cost 156 ) 0.376 * [simplify]: Simplified to: (* a (+ b c)) (log (* a (+ b c))) (log (* a (+ b c))) (exp (* a (+ b c))) (pow (* a (+ b c)) 3) (* (cbrt (* a (+ b c))) (cbrt (* a (+ b c)))) (cbrt (* a (+ b c))) (pow (* a (+ b c)) 3) (sqrt (* a (+ b c))) (sqrt (* a (+ b c))) (* (sqrt a) (sqrt (+ b c))) (* (sqrt a) (sqrt (+ b c))) (* a b) (* a c) (* a b) (* a c) (* a (* (cbrt (+ b c)) (cbrt (+ b c)))) (* a (sqrt (+ b c))) a a (* (cbrt a) (+ b c)) (* (sqrt a) (+ b c)) (* a (+ b c)) (* a (+ (pow b 3) (pow c 3))) (* a (- (* b b) (* c c))) (exp (* a (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (* (cbrt (+ (* a (+ b c)) (* a d))) (cbrt (+ (* a (+ b c)) (* a d)))) (cbrt (+ (* a (+ b c)) (* a d))) (pow (* a (+ (+ b c) d)) 3) (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))) (+ (pow (* a (+ b c)) 3) (pow (* a d) 3)) (* a (+ (* (+ b c) (* a (+ b c))) (* d (* a (- d (+ b c)))))) (* (* a (+ (+ b c) d)) (* a (- (+ b c) d))) (* a (- (+ b c) d)) (+ (+ b c) d) (* a (+ c d)) (* a (+ c d)) (* a (+ b c)) (* a (+ b c)) (* a (+ b c)) 0 (* a (+ (+ b c) d)) (* a (+ (+ b c) d)) 0.376 * * * [progress]: adding candidates to table 0.462 * * [progress]: iteration 3 / 4 0.462 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.477 * * * [progress]: generating rewritten candidates 0.477 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.481 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.487 * * * [progress]: generating series expansions 0.487 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.487 * [approximate]: Approximating (+ (* a b) (* a c)) in (a b c) around 0 0.488 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in b 0.488 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.489 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in b 0.489 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.489 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.491 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in b 0.491 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.491 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.492 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.497 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in b 0.497 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.497 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.497 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.497 * [taylor]: Taking taylor expansion of (+ (* a b) (* a c)) in c 0.498 * [approximate]: Approximating (+ (/ 1 (* a b)) (/ 1 (* a c))) in (a b c) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.514 * [approximate]: Approximating (+ (/ 1 (* a b)) (/ 1 (* a c))) in (a b c) around 0 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in b 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (* a c))) in c 0.530 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.530 * [approximate]: Approximating (+ (* d a) (+ (* a b) (* a c))) in (a b c d) around 0 0.531 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.531 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.531 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.532 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.533 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.533 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.533 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.533 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.533 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.536 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in b 0.536 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in c 0.536 * [taylor]: Taking taylor expansion of (+ (* d a) (+ (* a b) (* a c))) in d 0.536 * [approximate]: Approximating (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in (a b c d) around 0 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.552 * [approximate]: Approximating (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in (a b c d) around 0 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in b 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in c 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (+ (/ 1 (* d a)) (/ 1 (* a c)))) in d 0.569 * * * [progress]: simplifying candidates 0.569 * [simplify]: Simplifying using # : (* (exp (* a b)) (exp (* a c))) (log (+ (* a b) (* a c))) (exp (+ (* a b) (* a c))) (* (cbrt (+ (* a b) (* a c))) (cbrt (+ (* a b) (* a c)))) (cbrt (+ (* a b) (* a c))) (* (* (+ (* a b) (* a c)) (+ (* a b) (* a c))) (+ (* a b) (* a c))) (sqrt (+ (* a b) (* a c))) (sqrt (+ (* a b) (* a c))) (+ (pow (* a b) 3) (pow (* a c) 3)) (+ (* (* a b) (* a b)) (- (* (* a c) (* a c)) (* (* a b) (* a c)))) (- (* (* a b) (* a b)) (* (* a c) (* a c))) (- (* a b) (* a c)) (+ b c) (* (* (exp (* a b)) (exp (* a c))) (exp (* a d))) (* (exp (+ (* a b) (* a c))) (exp (* a d))) (log (+ (+ (* a b) (* a c)) (* a d))) (exp (+ (+ (* a b) (* a c)) (* a d))) (* (cbrt (+ (+ (* a b) (* a c)) (* a d))) (cbrt (+ (+ (* a b) (* a c)) (* a d)))) (cbrt (+ (+ (* a b) (* a c)) (* a d))) (* (* (+ (+ (* a b) (* a c)) (* a d)) (+ (+ (* a b) (* a c)) (* a d))) (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))) (+ (pow (+ (* a b) (* a c)) 3) (pow (* a d) 3)) (+ (* (+ (* a b) (* a c)) (+ (* a b) (* a c))) (- (* (* a d) (* a d)) (* (+ (* a b) (* a c)) (* a d)))) (- (* (+ (* a b) (* a c)) (+ (* a b) (* a c))) (* (* a d) (* a d))) (- (+ (* a b) (* a c)) (* a d)) (+ (+ b c) d) (+ (* a c) (* a d)) (+ (* a b) (* a c)) (+ (* a b) (* a c)) (+ (* a b) (* a c)) 0 (+ (* d a) (+ (* a b) (* a c))) (+ (* d a) (+ (* a b) (* a c))) 0.572 * * [simplify]: iteration 0 : 184 enodes (cost 187 ) 0.577 * * [simplify]: iteration 1 : 772 enodes (cost 160 ) 0.596 * * [simplify]: iteration 2 : 3494 enodes (cost 148 ) 0.675 * * [simplify]: iteration 3 : 5003 enodes (cost 148 ) 0.676 * [simplify]: Simplified to: (pow (exp a) (+ b c)) (log (+ (* a b) (* a c))) (pow (exp a) (+ b c)) (* (cbrt (+ (* a b) (* a c))) (cbrt (+ (* a b) (* a c)))) (cbrt (+ (* a b) (* a c))) (pow (* a (+ b c)) 3) (sqrt (+ (* a b) (* a c))) (sqrt (+ (* a b) (* a c))) (+ (pow (* a b) 3) (pow (* a c) 3)) (* a (+ (* b (* a b)) (* c (* a (- c b))))) (* (* a a) (- (* b b) (* c c))) (* a (- b c)) (+ b c) (pow (exp a) (+ (+ b c) d)) (pow (exp a) (+ (+ b c) d)) (+ (log a) (log (+ (+ b c) d))) (pow (exp a) (+ (+ b c) d)) (* (cbrt (+ (+ (* a b) (* a c)) (* a d))) (cbrt (+ (+ (* a b) (* a c)) (* a d)))) (cbrt (+ (+ (* a b) (* a c)) (* a d))) (pow (* a (+ (+ b c) d)) 3) (sqrt (+ (+ (* a b) (* a c)) (* a d))) (sqrt (+ (+ (* a b) (* a c)) (* a d))) (* (pow a 3) (+ (pow d 3) (pow (+ b c) 3))) (* a (+ (* (+ b c) (* a (+ b c))) (* d (* a (- d (+ b c)))))) (* (* a (- (+ b c) d)) (* a (+ (+ b c) d))) (* a (- (+ b c) d)) (+ (+ b c) d) (* a (+ c d)) (* a (+ b c)) (* a (+ b c)) (* a (+ b c)) 0 (* a (+ (+ b c) d)) (* a (+ (+ b c) d)) 0.676 * * * [progress]: adding candidates to table 0.739 * * [progress]: iteration 4 / 4 0.739 * * * [progress]: picking best candidate 0.743 * * * * [pick]: Picked # 0.743 * * * [progress]: localizing error 0.754 * * * [progress]: generating rewritten candidates 0.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.794 * * * [progress]: generating series expansions 0.794 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.795 * [approximate]: Approximating (* a (+ d (+ b c))) in (a b c d) around 0 0.795 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.795 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.795 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.797 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.798 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 0.798 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 0.798 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 0.799 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 0.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.804 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.806 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.810 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.812 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.812 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 0.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.817 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.819 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.819 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.820 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.820 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.822 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 0.822 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.824 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 0.824 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.825 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 0.825 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.825 * [approximate]: Approximating (sqrt (* a (+ d (+ b c)))) in (a b c d) around 0 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.832 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.833 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.833 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.833 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.839 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 0.852 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.856 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.857 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.858 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.858 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 0.858 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.858 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.858 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.859 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 0.860 * [approximate]: Approximating (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in (a b c d) around 0 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 0.869 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 0.893 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 0.900 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 0.909 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 0.979 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 0.995 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.018 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.028 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.034 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.038 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.046 * [approximate]: Approximating (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in (a b c d) around 0 1.054 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.054 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.055 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.055 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.058 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.082 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.089 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.090 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.098 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.170 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.187 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.207 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.218 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.224 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.224 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.228 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.236 * [approximate]: Approximating (sqrt (* a (+ d (+ b c)))) in (a b c d) around 0 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.243 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.250 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in b 1.263 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.267 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.268 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.268 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.268 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in c 1.268 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.269 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.269 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.269 * [taylor]: Taking taylor expansion of (sqrt (* a (+ d (+ b c)))) in d 1.271 * [approximate]: Approximating (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in (a b c d) around 0 1.278 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.279 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.280 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.280 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.283 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.303 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.309 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.311 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.311 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.319 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.391 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.406 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.441 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.448 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.448 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.459 * [approximate]: Approximating (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in (a b c d) around 0 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.472 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.503 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.504 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.511 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in b 1.582 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.618 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.628 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in c 1.638 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a)) in d 1.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.646 * [approximate]: Approximating (* a (+ d (+ b c))) in (a b c d) around 0 1.646 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 1.646 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 1.646 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 1.647 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 1.647 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 1.647 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 1.648 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 1.648 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 1.648 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 1.649 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in b 1.649 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in c 1.649 * [taylor]: Taking taylor expansion of (* a (+ d (+ b c))) in d 1.649 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 1.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.660 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.662 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.665 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.666 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.666 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.667 * [approximate]: Approximating (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in (a b c d) around 0 1.671 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.674 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.677 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in b 1.677 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.678 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in c 1.679 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.680 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) a) in d 1.680 * * * [progress]: simplifying candidates 1.682 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (+ 1 1) (+ (log (sqrt (* a (+ (+ b c) d)))) (log (sqrt (* a (+ (+ b c) d))))) (log (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (exp (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (* (* (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d)))) (* (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d))))) (* (cbrt (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (cbrt (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))))) (cbrt (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (* (* (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (sqrt (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (sqrt (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))) (* (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3))))) (* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))) (* (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d))) (* (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3))))) (* (sqrt (- (+ b c) d)) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))) (* (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (- (+ b c) d)) (sqrt (- (+ b c) d))) (* (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d)))))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (* (sqrt a) (sqrt a)) (* (sqrt (+ (+ b c) d)) (sqrt (+ (+ b c) d))) (* (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d))))) (* (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d))))) (* 1 1) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d))))) (* (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* a (+ (+ b c) d))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d)))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (* (sqrt (* a (+ (+ b c) d))) (sqrt (sqrt (* a (+ (+ b c) d))))) (* (sqrt (* a (+ (+ b c) d))) 1) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (+ (+ b c) d)) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (* a (+ (+ b c) d)))) (* (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (* a (+ (+ b c) d)))) (log (sqrt (* a (+ (+ b c) d)))) (exp (sqrt (* a (+ (+ b c) d)))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (cbrt (sqrt (* a (+ (+ b c) d)))) (* (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d)))) (sqrt a) (sqrt (+ (+ b c) d)) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (- (+ b c) d)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d)))) (log (sqrt (* a (+ (+ b c) d)))) (exp (sqrt (* a (+ (+ b c) d)))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (cbrt (sqrt (* a (+ (+ b c) d)))) (* (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d)))) (sqrt (* a (+ (+ b c) d)))) (sqrt a) (sqrt (+ (+ b c) d)) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (- (+ b c) d)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d)))) (* a (+ (+ b c) d)) (+ (log a) (log (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d))) (* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d)))) (cbrt (* a (+ (+ b c) d))) (* (* (* a (+ (+ b c) d)) (* a (+ (+ b c) d))) (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* a (+ b c)) (* a d) (* (+ b c) a) (* d a) (* a (* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d))) (* a 1) (* a 1) (* a 1) (* (cbrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d)) (* a (+ (+ b c) d)) (* a (+ (pow (+ b c) 3) (pow d 3))) (* a (- (* (+ b c) (+ b c)) (* d d))) 0 (+ (* d a) (+ (* a b) (* a c))) (+ (* d a) (+ (* a b) (* a c))) (+ (* a (* NAN b)) (+ (* a (* NAN c)) (* d (* a NAN)))) (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) (neg (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a))))) (+ (* a (* NAN b)) (+ (* a (* NAN c)) (* d (* a NAN)))) (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) (neg (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a))))) 0 (+ (* d a) (+ (* a b) (* a c))) (+ (* d a) (+ (* a b) (* a c))) 1.688 * * [simplify]: iteration 0 : 335 enodes (cost 702 ) 1.696 * * [simplify]: iteration 1 : 1829 enodes (cost 643 ) 1.744 * * [simplify]: iteration 2 : 5001 enodes (cost 621 ) 1.748 * [simplify]: Simplified to: 1 1 1 2 1 1 1 1 1 1 (pow (sqrt (* a (+ (+ b c) d))) 4) (* a (+ (+ b c) d)) (pow (sqrt (* a (+ (+ b c) d))) 4) (pow (sqrt (* a (+ (+ b c) d))) 4) (pow (sqrt (* a (+ (+ b c) d))) 4) (pow (sqrt (* a (+ (+ b c) d))) 4) 2 (log (* a (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d)))) (cbrt (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (pow (sqrt (* a (+ (+ b c) d))) 4) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* d (- d (+ b c))) (* (+ b c) (+ b c))) (* (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d))) (* (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (- (+ b c) d))) (* a (- (* (+ b c) (+ b c)) (* d d))) (- (+ b c) d) (pow (cbrt (sqrt (* a (+ (+ b c) d)))) 4) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) a (+ (+ b c) d) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) 1 (* a (+ (+ b c) d)) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) 1 2 1 1 1 1 (* (sqrt (* a (+ (+ b c) d))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d)))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (pow (sqrt (sqrt (* a (+ (+ b c) d)))) 3) (sqrt (* a (+ (+ b c) d))) (pow (cbrt (sqrt (* a (+ (+ b c) d)))) 4) (* (sqrt (+ (+ b c) d)) (sqrt (* a (+ (+ b c) d)))) (pow (sqrt (sqrt (* a (+ (+ b c) d)))) 3) (* a (+ (+ b c) d)) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3))))) (* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d))))) (log (sqrt (* a (+ (+ b c) d)))) (exp (sqrt (* a (+ (+ b c) d)))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (cbrt (sqrt (* a (+ (+ b c) d)))) (pow (sqrt (* a (+ (+ b c) d))) 3) (sqrt a) (sqrt (+ (+ b c) d)) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (- (+ b c) d)) 1/2 1/2 (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d)))) (log (sqrt (* a (+ (+ b c) d)))) (exp (sqrt (* a (+ (+ b c) d)))) (* (cbrt (sqrt (* a (+ (+ b c) d)))) (cbrt (sqrt (* a (+ (+ b c) d))))) (cbrt (sqrt (* a (+ (+ b c) d)))) (pow (sqrt (* a (+ (+ b c) d))) 3) (sqrt a) (sqrt (+ (+ b c) d)) (sqrt (* a (+ (pow (+ b c) 3) (pow d 3)))) (sqrt (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))) (sqrt (* a (- (* (+ b c) (+ b c)) (* d d)))) (sqrt (- (+ b c) d)) 1/2 1/2 (sqrt (sqrt (* a (+ (+ b c) d)))) (sqrt (sqrt (* a (+ (+ b c) d)))) (* a (+ (+ b c) d)) (log (* a (+ (+ b c) d))) (log (* a (+ (+ b c) d))) (exp (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (* (cbrt (* a (+ (+ b c) d))) (cbrt (* a (+ (+ b c) d)))) (cbrt (* a (+ (+ b c) d))) (pow (* a (+ (+ b c) d)) 3) (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))) (* a (+ b c)) (* a d) (* a (+ b c)) (* a d) (* a (* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))) (* a (sqrt (+ (+ b c) d))) a a a (* (cbrt a) (+ (+ b c) d)) (* (sqrt a) (+ (+ b c) d)) (* a (+ (+ b c) d)) (* a (+ (pow (+ b c) 3) (pow d 3))) (* a (- (* (+ b c) (+ b c)) (* d d))) 0 (* a (+ (+ b c) d)) (* a (+ (+ b c) d)) (+ (* d (* a NAN)) (* (* a NAN) (+ b c))) (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) (- (* -2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) (+ (* d (* a NAN)) (* (* a NAN) (+ b c))) (+ (* 2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) (- (* -2 (/ (* d (* (pow NAN 3) c)) a)) (+ (* 12 (/ (* d (* (pow NAN 5) (* b c))) (pow a 2))) (* 2 (/ (* d (* (pow NAN 3) b)) a)))) 0 (* a (+ (+ b c) d)) (* a (+ (+ b c) d)) 1.749 * * * [progress]: adding candidates to table 2.007 * [progress]: [Phase 3 of 3] Extracting. 2.008 * * [regime]: Finding splitpoints for: (# # #) 2.008 * * * [regime-changes]: Trying 7 branch expressions: ((+ b c) (+ (+ b c) d) (* a (+ (+ b c) d)) d c b a) 2.008 * * * * [regimes]: Trying to branch on (+ b c) from (# # #) 2.064 * * * * [regimes]: Trying to branch on (+ b c) from (# #) 2.115 * * * * [regimes]: Trying to branch on (+ (+ b c) d) from (# # #) 2.170 * * * * [regimes]: Trying to branch on (* a (+ (+ b c) d)) from (# # #) 2.226 * * * * [regimes]: Trying to branch on d from (# # #) 2.281 * * * * [regimes]: Trying to branch on c from (# # #) 2.337 * * * * [regimes]: Trying to branch on b from (# # #) 2.392 * * * * [regimes]: Trying to branch on a from (# # #) 2.446 * * * [regime]: Found split indices: #