22.095 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: Extracting # 3 : cost 0 0.022 * * [simplify]: Extracting # 4 : cost 0 0.022 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.107 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.137 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.138 * * [progress]: iteration 1 / 4 0.138 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.216 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.216 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.216 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.216 * [taylor]: Taking taylor expansion of (+ a b) in b 0.216 * [taylor]: Taking taylor expansion of a in b 0.216 * [backup-simplify]: Simplify a into a 0.216 * [taylor]: Taking taylor expansion of b in b 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ a 0) into a 0.216 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.216 * [taylor]: Taking taylor expansion of (+ a b) in a 0.216 * [taylor]: Taking taylor expansion of a in a 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of b in a 0.217 * [backup-simplify]: Simplify b into b 0.217 * [backup-simplify]: Simplify (+ 0 b) into b 0.217 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.217 * [taylor]: Taking taylor expansion of (+ a b) in a 0.217 * [taylor]: Taking taylor expansion of a in a 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of b in a 0.217 * [backup-simplify]: Simplify b into b 0.217 * [backup-simplify]: Simplify (+ 0 b) into b 0.217 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.217 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.217 * [taylor]: Taking taylor expansion of b in b 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.218 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.218 * [taylor]: Taking taylor expansion of 2 in b 0.218 * [backup-simplify]: Simplify 2 into 2 0.218 * [taylor]: Taking taylor expansion of b in b 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 2 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.219 * [taylor]: Taking taylor expansion of 1 in b 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.220 * [backup-simplify]: Simplify 2 into 2 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.221 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.221 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.222 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.222 * [taylor]: Taking taylor expansion of b in b 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.222 * [taylor]: Taking taylor expansion of a in b 0.222 * [backup-simplify]: Simplify a into a 0.222 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.223 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.223 * [taylor]: Taking taylor expansion of b in a 0.223 * [backup-simplify]: Simplify b into b 0.223 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.223 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.223 * [taylor]: Taking taylor expansion of a in a 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.224 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.224 * [taylor]: Taking taylor expansion of b in a 0.224 * [backup-simplify]: Simplify b into b 0.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.224 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.224 * [taylor]: Taking taylor expansion of a in a 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in b 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.226 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.226 * [taylor]: Taking taylor expansion of 2 in b 0.226 * [backup-simplify]: Simplify 2 into 2 0.226 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.226 * [taylor]: Taking taylor expansion of b in b 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.229 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.229 * [taylor]: Taking taylor expansion of b in b 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 2 1) into 2 0.230 * [backup-simplify]: Simplify 2 into 2 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.231 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.231 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.231 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.231 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.231 * [taylor]: Taking taylor expansion of b in b 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.232 * [taylor]: Taking taylor expansion of a in b 0.232 * [backup-simplify]: Simplify a into a 0.232 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.233 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.233 * [taylor]: Taking taylor expansion of b in a 0.233 * [backup-simplify]: Simplify b into b 0.233 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.233 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.233 * [taylor]: Taking taylor expansion of a in a 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.234 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.234 * [taylor]: Taking taylor expansion of b in a 0.234 * [backup-simplify]: Simplify b into b 0.234 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.234 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.234 * [taylor]: Taking taylor expansion of a in a 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of 1 in b 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.236 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.236 * [taylor]: Taking taylor expansion of 2 in b 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.236 * [taylor]: Taking taylor expansion of b in b 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.239 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.239 * [taylor]: Taking taylor expansion of b in b 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 2 1) into 2 0.240 * [backup-simplify]: Simplify 2 into 2 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.241 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying: (+ 1 1) (* (+ a b) (+ a b)) (+ 1 1) (+ (log (+ a b)) (log (+ a b))) (log (* (+ a b) (+ a b))) (exp (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (+ a b)) (cbrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 2 1) (* (+ a b) a) (* (+ a b) b) (* a (+ a b)) (* b (+ a b)) (* (+ a b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (+ a b) (sqrt (+ a b))) (* (+ a b) 1) (* (+ a b) 1) (* (cbrt (+ a b)) (+ a b)) (* (sqrt (+ a b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.244 * * [simplify]: Extracting # 0 : cost 0 0.244 * * [simplify]: Extracting # 1 : cost 0 0.244 * * [simplify]: Extracting # 2 : cost 0 0.244 * * [simplify]: Extracting # 3 : cost 0 0.244 * * [simplify]: Extracting # 4 : cost 0 0.244 * * [simplify]: Extracting # 5 : cost 0 0.244 * * [simplify]: Extracting # 6 : cost 0 0.245 * * [simplify]: Extracting # 7 : cost 0 0.245 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.264 * * [simplify]: Extracting # 0 : cost 0 0.264 * * [simplify]: Extracting # 1 : cost 0 0.265 * * [simplify]: Extracting # 2 : cost 0 0.265 * * [simplify]: Extracting # 3 : cost 0 0.265 * * [simplify]: Extracting # 4 : cost 0 0.265 * * [simplify]: iteration 1 : 188 enodes (cost 453 ) 0.359 * * [simplify]: Extracting # 0 : cost 0 0.360 * * [simplify]: Extracting # 1 : cost 0 0.361 * * [simplify]: Extracting # 2 : cost 0 0.362 * * [simplify]: Extracting # 3 : cost 0 0.362 * * [simplify]: Extracting # 4 : cost 0 0.363 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.311 * * [simplify]: Extracting # 0 : cost 0 1.315 * * [simplify]: Extracting # 1 : cost 0 1.319 * * [simplify]: Extracting # 2 : cost 0 1.322 * * [simplify]: Extracting # 3 : cost 0 1.325 * * [simplify]: Extracting # 4 : cost 0 1.331 * * [simplify]: Extracting # 5 : cost 0 1.335 * * [simplify]: iteration 3 : 3324 enodes (cost 376 ) 2.465 * * [simplify]: Extracting # 0 : cost 0 2.471 * * [simplify]: Extracting # 1 : cost 0 2.476 * * [simplify]: Extracting # 2 : cost 0 2.481 * * [simplify]: Extracting # 3 : cost 0 2.486 * * [simplify]: Extracting # 4 : cost 0 2.491 * * [simplify]: iteration done: 5001 enodes (cost 373 ) 2.491 * [simplify]: Simplified to: 2 (pow (sqrt (+ a b)) 4) 2 (* 2 (log (+ a b))) (* 2 (log (+ a b))) (exp (pow (sqrt (+ a b)) 4)) (pow (+ a b) 6) (* (cbrt (pow (sqrt (+ a b)) 4)) (cbrt (pow (sqrt (+ a b)) 4))) (cbrt (pow (sqrt (+ a b)) 4)) (pow (+ a b) 6) (fabs (+ a b)) (fabs (+ a b)) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (* b (- b a))) (- a b)) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (* b (- b a))) (- a b)) (* (* (- a b) (- a b)) (pow (sqrt (+ a b)) 4)) (* (- a b) (- a b)) (pow (cbrt (+ a b)) 4) (* (cbrt (+ a b)) (cbrt (+ a b))) (+ a b) (+ a b) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) 1 (pow (sqrt (+ a b)) 4) (+ a b) (+ a b) 2 (* (+ a b) a) (* (+ a b) b) (* (+ a b) a) (* (+ a b) b) (pow (cbrt (+ a b)) (+ 4 1)) (pow (sqrt (+ a b)) 3) (+ a b) (+ a b) (pow (cbrt (+ a b)) 4) (pow (sqrt (+ a b)) 3) (pow (sqrt (+ a b)) 4) (pow (sqrt (+ a b)) 4) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- a b) (pow (sqrt (+ a b)) 4)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- a b) (pow (sqrt (+ a b)) 4)) (+ (* b (+ (* 2 a) b)) (* a a)) (+ (* b (+ (* 2 a) b)) (* a a)) (+ (* b (+ (* 2 a) b)) (* a a)) 2.491 * * * [progress]: adding candidates to table 2.552 * * [progress]: iteration 2 / 4 2.552 * * * [progress]: picking best candidate 2.556 * * * * [pick]: Picked # 2.556 * * * [progress]: localizing error 2.571 * * * [progress]: generating rewritten candidates 2.571 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.625 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.659 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.660 * [backup-simplify]: Simplify (* b (+ (* 2 a) b)) into (* (+ (* 2 a) b) b) 2.660 * [approximate]: Taking taylor expansion of (* (+ (* 2 a) b) b) in (b a) around 0 2.660 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in a 2.660 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in a 2.660 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.660 * [taylor]: Taking taylor expansion of 2 in a 2.660 * [backup-simplify]: Simplify 2 into 2 2.660 * [taylor]: Taking taylor expansion of a in a 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of b in a 2.660 * [backup-simplify]: Simplify b into b 2.660 * [taylor]: Taking taylor expansion of b in a 2.660 * [backup-simplify]: Simplify b into b 2.660 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in b 2.660 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in b 2.660 * [taylor]: Taking taylor expansion of (* 2 a) in b 2.660 * [taylor]: Taking taylor expansion of 2 in b 2.660 * [backup-simplify]: Simplify 2 into 2 2.660 * [taylor]: Taking taylor expansion of a in b 2.660 * [backup-simplify]: Simplify a into a 2.660 * [taylor]: Taking taylor expansion of b in b 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of b in b 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in b 2.660 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in b 2.660 * [taylor]: Taking taylor expansion of (* 2 a) in b 2.660 * [taylor]: Taking taylor expansion of 2 in b 2.660 * [backup-simplify]: Simplify 2 into 2 2.660 * [taylor]: Taking taylor expansion of a in b 2.660 * [backup-simplify]: Simplify a into a 2.660 * [taylor]: Taking taylor expansion of b in b 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of b in b 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (* 2 a) into (* 2 a) 2.660 * [backup-simplify]: Simplify (+ (* 2 a) 0) into (* 2 a) 2.661 * [backup-simplify]: Simplify (* (* 2 a) 0) into 0 2.661 * [taylor]: Taking taylor expansion of 0 in a 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 a)) into 0 2.661 * [backup-simplify]: Simplify (+ 0 1) into 1 2.662 * [backup-simplify]: Simplify (+ (* (* 2 a) 1) (* 1 0)) into (* 2 a) 2.662 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.662 * [taylor]: Taking taylor expansion of 2 in a 2.662 * [backup-simplify]: Simplify 2 into 2 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (* 2 0) into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 a))) into 0 2.663 * [backup-simplify]: Simplify (+ 0 0) into 0 2.663 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 1) (* 0 0))) into 1 2.663 * [taylor]: Taking taylor expansion of 1 in a 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.664 * [backup-simplify]: Simplify 2 into 2 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.665 * [taylor]: Taking taylor expansion of 0 in a 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.668 * [taylor]: Taking taylor expansion of 0 in a 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2))) into (+ (* 2 (* a b)) (pow b 2)) 2.668 * [backup-simplify]: Simplify (* (/ 1 b) (+ (* 2 (/ 1 a)) (/ 1 b))) into (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) 2.668 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in (b a) around 0 2.668 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in a 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 2.668 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.668 * [taylor]: Taking taylor expansion of b in a 2.668 * [backup-simplify]: Simplify b into b 2.668 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.668 * [taylor]: Taking taylor expansion of 2 in a 2.668 * [backup-simplify]: Simplify 2 into 2 2.668 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.668 * [taylor]: Taking taylor expansion of a in a 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (/ 1 1) into 1 2.669 * [taylor]: Taking taylor expansion of b in a 2.669 * [backup-simplify]: Simplify b into b 2.669 * [backup-simplify]: Simplify (* 2 1) into 2 2.669 * [backup-simplify]: Simplify (+ 0 2) into 2 2.669 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 2.669 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.669 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.669 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.669 * [taylor]: Taking taylor expansion of b in b 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.670 * [taylor]: Taking taylor expansion of 2 in b 2.670 * [backup-simplify]: Simplify 2 into 2 2.670 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.670 * [taylor]: Taking taylor expansion of a in b 2.670 * [backup-simplify]: Simplify a into a 2.670 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.670 * [taylor]: Taking taylor expansion of b in b 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (+ 1 0) into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.670 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.670 * [taylor]: Taking taylor expansion of b in b 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.671 * [taylor]: Taking taylor expansion of 2 in b 2.671 * [backup-simplify]: Simplify 2 into 2 2.671 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.671 * [taylor]: Taking taylor expansion of a in b 2.671 * [backup-simplify]: Simplify a into a 2.671 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.671 * [taylor]: Taking taylor expansion of b in b 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (+ 1 0) into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [taylor]: Taking taylor expansion of 1 in a 2.671 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.672 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 2.672 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 a)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 a)) 2.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.672 * [taylor]: Taking taylor expansion of 2 in a 2.673 * [backup-simplify]: Simplify 2 into 2 2.673 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.673 * [taylor]: Taking taylor expansion of a in a 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [backup-simplify]: Simplify (* 2 1) into 2 2.673 * [backup-simplify]: Simplify 2 into 2 2.673 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)))) into 0 2.679 * [taylor]: Taking taylor expansion of 0 in a 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [taylor]: Taking taylor expansion of 0 in a 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 2.689 * [backup-simplify]: Simplify (+ 0 0) into 0 2.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [taylor]: Taking taylor expansion of 0 in a 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 2 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (+ (* 2 (* a b)) (pow b 2)) 2.692 * [backup-simplify]: Simplify (* (/ 1 (- b)) (+ (* 2 (/ 1 (- a))) (/ 1 (- b)))) into (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) 2.692 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in (b a) around 0 2.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in a 2.692 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 2.692 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.692 * [taylor]: Taking taylor expansion of 2 in a 2.692 * [backup-simplify]: Simplify 2 into 2 2.692 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [taylor]: Taking taylor expansion of b in a 2.693 * [backup-simplify]: Simplify b into b 2.693 * [backup-simplify]: Simplify (* 2 1) into 2 2.693 * [backup-simplify]: Simplify (+ 0 2) into 2 2.693 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 2.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.693 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.693 * [taylor]: Taking taylor expansion of b in b 2.693 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (/ 1 1) into 1 2.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.694 * [taylor]: Taking taylor expansion of 2 in b 2.694 * [backup-simplify]: Simplify 2 into 2 2.694 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.694 * [taylor]: Taking taylor expansion of a in b 2.694 * [backup-simplify]: Simplify a into a 2.694 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.694 * [taylor]: Taking taylor expansion of b in b 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (/ 1 1) into 1 2.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.695 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.695 * [taylor]: Taking taylor expansion of b in b 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (/ 1 1) into 1 2.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.695 * [taylor]: Taking taylor expansion of 2 in b 2.695 * [backup-simplify]: Simplify 2 into 2 2.696 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.696 * [taylor]: Taking taylor expansion of a in b 2.696 * [backup-simplify]: Simplify a into a 2.696 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.696 * [taylor]: Taking taylor expansion of b in b 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (+ 1 0) into 1 2.696 * [backup-simplify]: Simplify (/ 1 1) into 1 2.697 * [taylor]: Taking taylor expansion of 1 in a 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.697 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 2.698 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 a)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 a)) 2.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.698 * [taylor]: Taking taylor expansion of 2 in a 2.698 * [backup-simplify]: Simplify 2 into 2 2.698 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.698 * [taylor]: Taking taylor expansion of a in a 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (/ 1 1) into 1 2.699 * [backup-simplify]: Simplify (* 2 1) into 2 2.699 * [backup-simplify]: Simplify 2 into 2 2.699 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)))) into 0 2.702 * [taylor]: Taking taylor expansion of 0 in a 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [taylor]: Taking taylor expansion of 0 in a 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [taylor]: Taking taylor expansion of 0 in a 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 2 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (+ (* 2 (* a b)) (pow b 2)) 2.715 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.715 * [backup-simplify]: Simplify (+ (* b (+ (* 2 a) b)) (* a a)) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.715 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (b a) around 0 2.715 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.715 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.715 * [taylor]: Taking taylor expansion of a in a 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.715 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.715 * [taylor]: Taking taylor expansion of 2 in a 2.715 * [backup-simplify]: Simplify 2 into 2 2.715 * [taylor]: Taking taylor expansion of (* a b) in a 2.715 * [taylor]: Taking taylor expansion of a in a 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of b in a 2.715 * [backup-simplify]: Simplify b into b 2.715 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.715 * [taylor]: Taking taylor expansion of b in a 2.715 * [backup-simplify]: Simplify b into b 2.716 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.716 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.716 * [taylor]: Taking taylor expansion of a in b 2.716 * [backup-simplify]: Simplify a into a 2.716 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.716 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.716 * [taylor]: Taking taylor expansion of 2 in b 2.716 * [backup-simplify]: Simplify 2 into 2 2.716 * [taylor]: Taking taylor expansion of (* a b) in b 2.716 * [taylor]: Taking taylor expansion of a in b 2.716 * [backup-simplify]: Simplify a into a 2.716 * [taylor]: Taking taylor expansion of b in b 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.716 * [taylor]: Taking taylor expansion of b in b 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.716 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.716 * [taylor]: Taking taylor expansion of a in b 2.716 * [backup-simplify]: Simplify a into a 2.716 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.716 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.716 * [taylor]: Taking taylor expansion of 2 in b 2.716 * [backup-simplify]: Simplify 2 into 2 2.716 * [taylor]: Taking taylor expansion of (* a b) in b 2.716 * [taylor]: Taking taylor expansion of a in b 2.716 * [backup-simplify]: Simplify a into a 2.716 * [taylor]: Taking taylor expansion of b in b 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.716 * [taylor]: Taking taylor expansion of b in b 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.717 * [backup-simplify]: Simplify (* a 0) into 0 2.717 * [backup-simplify]: Simplify (* 2 0) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 2.718 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.718 * [taylor]: Taking taylor expansion of a in a 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.718 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.719 * [backup-simplify]: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) 2.719 * [backup-simplify]: Simplify (+ (* 2 a) 0) into (* 2 a) 2.719 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 2.719 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.719 * [taylor]: Taking taylor expansion of 2 in a 2.719 * [backup-simplify]: Simplify 2 into 2 2.719 * [taylor]: Taking taylor expansion of a in a 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 2 0) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.721 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 a) (* 0 0))) into 0 2.722 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (+ 0 1) into 1 2.722 * [backup-simplify]: Simplify (+ 0 1) into 1 2.722 * [taylor]: Taking taylor expansion of 1 in a 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.723 * [backup-simplify]: Simplify 2 into 2 2.724 * [backup-simplify]: Simplify (* 1 1) into 1 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.725 * [backup-simplify]: Simplify (+ (* (/ 1 b) (+ (* 2 (/ 1 a)) (/ 1 b))) (* (/ 1 a) (/ 1 a))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.725 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (b a) around 0 2.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.725 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.725 * [taylor]: Taking taylor expansion of b in a 2.725 * [backup-simplify]: Simplify b into b 2.725 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.725 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.725 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.725 * [taylor]: Taking taylor expansion of 2 in a 2.725 * [backup-simplify]: Simplify 2 into 2 2.725 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.725 * [taylor]: Taking taylor expansion of (* a b) in a 2.725 * [taylor]: Taking taylor expansion of a in a 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of b in a 2.725 * [backup-simplify]: Simplify b into b 2.725 * [backup-simplify]: Simplify (* 0 b) into 0 2.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.726 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.726 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.726 * [taylor]: Taking taylor expansion of a in a 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (* 1 1) into 1 2.727 * [backup-simplify]: Simplify (/ 1 1) into 1 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.727 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.727 * [taylor]: Taking taylor expansion of b in b 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.728 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.728 * [taylor]: Taking taylor expansion of 2 in b 2.728 * [backup-simplify]: Simplify 2 into 2 2.728 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.728 * [taylor]: Taking taylor expansion of (* a b) in b 2.728 * [taylor]: Taking taylor expansion of a in b 2.728 * [backup-simplify]: Simplify a into a 2.728 * [taylor]: Taking taylor expansion of b in b 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* a 0) into 0 2.728 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.728 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.729 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.729 * [taylor]: Taking taylor expansion of a in b 2.729 * [backup-simplify]: Simplify a into a 2.729 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.729 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.729 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.729 * [taylor]: Taking taylor expansion of b in b 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.730 * [taylor]: Taking taylor expansion of 2 in b 2.730 * [backup-simplify]: Simplify 2 into 2 2.730 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.730 * [taylor]: Taking taylor expansion of (* a b) in b 2.730 * [taylor]: Taking taylor expansion of a in b 2.730 * [backup-simplify]: Simplify a into a 2.730 * [taylor]: Taking taylor expansion of b in b 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* a 0) into 0 2.731 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.731 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.731 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.731 * [taylor]: Taking taylor expansion of a in b 2.731 * [backup-simplify]: Simplify a into a 2.731 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.731 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.731 * [backup-simplify]: Simplify (+ 1 0) into 1 2.731 * [taylor]: Taking taylor expansion of 1 in a 2.731 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.732 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.732 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.732 * [taylor]: Taking taylor expansion of 2 in a 2.732 * [backup-simplify]: Simplify 2 into 2 2.732 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.732 * [taylor]: Taking taylor expansion of a in a 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.735 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.735 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.735 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.735 * [taylor]: Taking taylor expansion of a in a 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* 2 1) into 2 2.736 * [backup-simplify]: Simplify 2 into 2 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (+ (* 2 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.736 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (+ (* 2 (/ 1 (- a))) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.736 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (b a) around 0 2.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.736 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.736 * [taylor]: Taking taylor expansion of b in a 2.736 * [backup-simplify]: Simplify b into b 2.737 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.737 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.737 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.737 * [taylor]: Taking taylor expansion of 2 in a 2.737 * [backup-simplify]: Simplify 2 into 2 2.737 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.737 * [taylor]: Taking taylor expansion of (* a b) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [taylor]: Taking taylor expansion of b in a 2.737 * [backup-simplify]: Simplify b into b 2.737 * [backup-simplify]: Simplify (* 0 b) into 0 2.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.737 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.737 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (* 1 1) into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.738 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.738 * [taylor]: Taking taylor expansion of b in b 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.738 * [taylor]: Taking taylor expansion of 2 in b 2.738 * [backup-simplify]: Simplify 2 into 2 2.738 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.738 * [taylor]: Taking taylor expansion of (* a b) in b 2.738 * [taylor]: Taking taylor expansion of a in b 2.738 * [backup-simplify]: Simplify a into a 2.738 * [taylor]: Taking taylor expansion of b in b 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* a 0) into 0 2.739 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.739 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.739 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.739 * [taylor]: Taking taylor expansion of a in b 2.739 * [backup-simplify]: Simplify a into a 2.739 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.739 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.739 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.739 * [taylor]: Taking taylor expansion of b in b 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.740 * [taylor]: Taking taylor expansion of 2 in b 2.740 * [backup-simplify]: Simplify 2 into 2 2.740 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.740 * [taylor]: Taking taylor expansion of (* a b) in b 2.740 * [taylor]: Taking taylor expansion of a in b 2.740 * [backup-simplify]: Simplify a into a 2.740 * [taylor]: Taking taylor expansion of b in b 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (* a 0) into 0 2.740 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.740 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.740 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.740 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.740 * [taylor]: Taking taylor expansion of a in b 2.740 * [backup-simplify]: Simplify a into a 2.740 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.740 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.741 * [backup-simplify]: Simplify (+ 1 0) into 1 2.741 * [taylor]: Taking taylor expansion of 1 in a 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.742 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.742 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.742 * [taylor]: Taking taylor expansion of 2 in a 2.742 * [backup-simplify]: Simplify 2 into 2 2.742 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.742 * [taylor]: Taking taylor expansion of a in a 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.744 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.744 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.744 * [taylor]: Taking taylor expansion of a in a 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (* 2 1) into 2 2.745 * [backup-simplify]: Simplify 2 into 2 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.746 * * * [progress]: simplifying candidates 2.746 * [simplify]: Simplifying: (* b (+ (* 2 a) b)) (+ (log b) (log (+ (* 2 a) b))) (log (* b (+ (* 2 a) b))) (exp (* b (+ (* 2 a) b))) (* (* (* b b) b) (* (* (+ (* 2 a) b) (+ (* 2 a) b)) (+ (* 2 a) b))) (* (cbrt (* b (+ (* 2 a) b))) (cbrt (* b (+ (* 2 a) b)))) (cbrt (* b (+ (* 2 a) b))) (* (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (* b (+ (* 2 a) b))) (sqrt (* b (+ (* 2 a) b))) (sqrt (* b (+ (* 2 a) b))) (* (sqrt b) (sqrt (+ (* 2 a) b))) (* (sqrt b) (sqrt (+ (* 2 a) b))) (* b (* 2 a)) (* b b) (* (* 2 a) b) (* b b) (* b (* (cbrt (+ (* 2 a) b)) (cbrt (+ (* 2 a) b)))) (* b (sqrt (+ (* 2 a) b))) (* b 1) (* (cbrt b) (+ (* 2 a) b)) (* (sqrt b) (+ (* 2 a) b)) (* b (+ (* 2 a) b)) (* b (+ (pow (* 2 a) 3) (pow b 3))) (* b (- (* (* 2 a) (* 2 a)) (* b b))) (* (exp (* b (+ (* 2 a) b))) (exp (* a a))) (log (+ (* b (+ (* 2 a) b)) (* a a))) (exp (+ (* b (+ (* 2 a) b)) (* a a))) (* (cbrt (+ (* b (+ (* 2 a) b)) (* a a))) (cbrt (+ (* b (+ (* 2 a) b)) (* a a)))) (cbrt (+ (* b (+ (* 2 a) b)) (* a a))) (* (* (+ (* b (+ (* 2 a) b)) (* a a)) (+ (* b (+ (* 2 a) b)) (* a a))) (+ (* b (+ (* 2 a) b)) (* a a))) (sqrt (+ (* b (+ (* 2 a) b)) (* a a))) (sqrt (+ (* b (+ (* 2 a) b)) (* a a))) (+ (pow (* b (+ (* 2 a) b)) 3) (pow (* a a) 3)) (+ (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (- (* (* a a) (* a a)) (* (* b (+ (* 2 a) b)) (* a a)))) (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (* (* a a) (* a a))) (- (* b (+ (* 2 a) b)) (* a a)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.747 * * [simplify]: Extracting # 0 : cost 0 2.747 * * [simplify]: Extracting # 1 : cost 0 2.747 * * [simplify]: Extracting # 2 : cost 0 2.747 * * [simplify]: Extracting # 3 : cost 0 2.747 * * [simplify]: Extracting # 4 : cost 0 2.748 * * [simplify]: Extracting # 5 : cost 0 2.748 * * [simplify]: Extracting # 6 : cost 0 2.748 * * [simplify]: Extracting # 7 : cost 0 2.748 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 2.770 * * [simplify]: Extracting # 0 : cost 0 2.771 * * [simplify]: Extracting # 1 : cost 0 2.771 * * [simplify]: Extracting # 2 : cost 0 2.771 * * [simplify]: Extracting # 3 : cost 0 2.772 * * [simplify]: Extracting # 4 : cost 0 2.772 * * [simplify]: iteration 1 : 217 enodes (cost 485 ) 2.902 * * [simplify]: Extracting # 0 : cost 0 2.903 * * [simplify]: Extracting # 1 : cost 0 2.903 * * [simplify]: Extracting # 2 : cost 0 2.904 * * [simplify]: Extracting # 3 : cost 0 2.905 * * [simplify]: Extracting # 4 : cost 0 2.906 * * [simplify]: iteration 2 : 738 enodes (cost 445 ) 3.844 * * [simplify]: Extracting # 0 : cost 0 3.852 * * [simplify]: Extracting # 1 : cost 0 3.855 * * [simplify]: Extracting # 2 : cost 0 3.858 * * [simplify]: Extracting # 3 : cost 0 3.864 * * [simplify]: Extracting # 4 : cost 0 3.867 * * [simplify]: iteration 3 : 3344 enodes (cost 437 ) 5.354 * * [simplify]: Extracting # 0 : cost 0 5.363 * * [simplify]: Extracting # 1 : cost 0 5.374 * * [simplify]: Extracting # 2 : cost 0 5.381 * * [simplify]: Extracting # 3 : cost 0 5.387 * * [simplify]: Extracting # 4 : cost 0 5.392 * * [simplify]: iteration done: 5001 enodes (cost 437 ) 5.392 * [simplify]: Simplified to: (* (+ (* 2 a) b) b) (log (* (+ (* 2 a) b) b)) (log (* (+ (* 2 a) b) b)) (exp (* b (+ (* 2 a) b))) (pow (* b (+ (* 2 a) b)) 3) (* (cbrt (* b (+ (* 2 a) b))) (cbrt (* b (+ (* 2 a) b)))) (cbrt (* b (+ (* 2 a) b))) (pow (* b (+ (* 2 a) b)) 3) (sqrt (* b (+ (* 2 a) b))) (sqrt (* b (+ (* 2 a) b))) (* (sqrt b) (sqrt (+ (* 2 a) b))) (* (sqrt b) (sqrt (+ (* 2 a) b))) (* b (* 2 a)) (* b b) (* b (* 2 a)) (* b b) (* b (* (cbrt (+ (* 2 a) b)) (cbrt (+ (* 2 a) b)))) (* b (sqrt (+ (* 2 a) b))) b (* (cbrt b) (+ (* 2 a) b)) (* (sqrt b) (+ (* 2 a) b)) (* (+ (* 2 a) b) b) (* b (+ (pow (* 2 a) 3) (pow b 3))) (* b (- (* 4 (* a a)) (* b b))) (exp (+ (* b (+ (* 2 a) b)) (* a a))) (log (+ (* b (+ (* 2 a) b)) (* a a))) (exp (+ (* b (+ (* 2 a) b)) (* a a))) (* (cbrt (+ (* b (+ (* 2 a) b)) (* a a))) (cbrt (+ (* b (+ (* 2 a) b)) (* a a)))) (cbrt (+ (* b (+ (* 2 a) b)) (* a a))) (pow (+ (* b (+ (* 2 a) b)) (* a a)) 3) (sqrt (+ (* b (+ (* 2 a) b)) (* a a))) (sqrt (+ (* b (+ (* 2 a) b)) (* a a))) (+ (pow (* b (+ (* 2 a) b)) 3) (pow a 6)) (+ (* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a))) (pow a 4)) (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (* (+ (* 2 a) b) b) (* (+ (* 2 a) b) b) (* (+ (* 2 a) b) b) (+ (* b (+ (* 2 a) b)) (* a a)) (+ (* b (+ (* 2 a) b)) (* a a)) (+ (* b (+ (* 2 a) b)) (* a a)) 5.392 * * * [progress]: adding candidates to table 5.495 * * [progress]: iteration 3 / 4 5.495 * * * [progress]: picking best candidate 5.496 * * * * [pick]: Picked # 5.496 * * * [progress]: localizing error 5.505 * * * [progress]: generating rewritten candidates 5.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.517 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.552 * * * [progress]: generating series expansions 5.552 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.552 * [backup-simplify]: Simplify (+ (* b b) (* a a)) into (+ (pow a 2) (pow b 2)) 5.552 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (b a) around 0 5.553 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 5.553 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.553 * [taylor]: Taking taylor expansion of a in a 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.553 * [taylor]: Taking taylor expansion of b in a 5.553 * [backup-simplify]: Simplify b into b 5.553 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 5.553 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.553 * [taylor]: Taking taylor expansion of a in b 5.553 * [backup-simplify]: Simplify a into a 5.553 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.553 * [taylor]: Taking taylor expansion of b in b 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 5.553 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.553 * [taylor]: Taking taylor expansion of a in b 5.553 * [backup-simplify]: Simplify a into a 5.553 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.553 * [taylor]: Taking taylor expansion of b in b 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.553 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 5.553 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.553 * [taylor]: Taking taylor expansion of a in a 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.554 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [taylor]: Taking taylor expansion of 0 in a 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.555 * [backup-simplify]: Simplify (* 1 1) into 1 5.555 * [backup-simplify]: Simplify (+ 0 1) into 1 5.555 * [taylor]: Taking taylor expansion of 1 in a 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (* 1 1) into 1 5.555 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 5.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.556 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [taylor]: Taking taylor expansion of 0 in a 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [taylor]: Taking taylor expansion of 0 in a 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (+ (pow a 2) (pow b 2)) 5.559 * [backup-simplify]: Simplify (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) 5.559 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.559 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.559 * [taylor]: Taking taylor expansion of b in a 5.559 * [backup-simplify]: Simplify b into b 5.559 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.559 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.559 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.559 * [taylor]: Taking taylor expansion of a in a 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* 1 1) into 1 5.560 * [backup-simplify]: Simplify (/ 1 1) into 1 5.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.560 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.560 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.560 * [taylor]: Taking taylor expansion of b in b 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (* 1 1) into 1 5.560 * [backup-simplify]: Simplify (/ 1 1) into 1 5.560 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.560 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.560 * [taylor]: Taking taylor expansion of a in b 5.560 * [backup-simplify]: Simplify a into a 5.560 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.560 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.561 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.561 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.561 * [taylor]: Taking taylor expansion of b in b 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (* 1 1) into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.561 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.561 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.561 * [taylor]: Taking taylor expansion of a in b 5.561 * [backup-simplify]: Simplify a into a 5.561 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.561 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.562 * [backup-simplify]: Simplify (+ 1 0) into 1 5.562 * [taylor]: Taking taylor expansion of 1 in a 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.563 * [backup-simplify]: Simplify (+ 0 0) into 0 5.563 * [taylor]: Taking taylor expansion of 0 in a 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 5.564 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.564 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.564 * [taylor]: Taking taylor expansion of a in a 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (* 1 1) into 1 5.564 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 5.566 * [backup-simplify]: Simplify (+ 0 0) into 0 5.566 * [taylor]: Taking taylor expansion of 0 in a 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.568 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.569 * [taylor]: Taking taylor expansion of 0 in a 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (+ (pow a 2) (pow b 2)) 5.571 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) 5.571 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 5.571 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.571 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.571 * [taylor]: Taking taylor expansion of b in a 5.571 * [backup-simplify]: Simplify b into b 5.571 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.571 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.571 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.571 * [taylor]: Taking taylor expansion of a in a 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (* 1 1) into 1 5.572 * [backup-simplify]: Simplify (/ 1 1) into 1 5.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.572 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.572 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.572 * [taylor]: Taking taylor expansion of b in b 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (* 1 1) into 1 5.573 * [backup-simplify]: Simplify (/ 1 1) into 1 5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.573 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.573 * [taylor]: Taking taylor expansion of a in b 5.573 * [backup-simplify]: Simplify a into a 5.573 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.573 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.573 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.573 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.573 * [taylor]: Taking taylor expansion of b in b 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.574 * [backup-simplify]: Simplify (* 1 1) into 1 5.574 * [backup-simplify]: Simplify (/ 1 1) into 1 5.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.574 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.574 * [taylor]: Taking taylor expansion of a in b 5.574 * [backup-simplify]: Simplify a into a 5.574 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.574 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.575 * [backup-simplify]: Simplify (+ 1 0) into 1 5.575 * [taylor]: Taking taylor expansion of 1 in a 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.576 * [taylor]: Taking taylor expansion of 0 in a 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.577 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.577 * [taylor]: Taking taylor expansion of a in a 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.577 * [backup-simplify]: Simplify (/ 1 1) into 1 5.577 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 5.579 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [taylor]: Taking taylor expansion of 0 in a 5.579 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 5.582 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [taylor]: Taking taylor expansion of 0 in a 5.582 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (+ (pow a 2) (pow b 2)) 5.583 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.584 * [backup-simplify]: Simplify (+ (* (* 2 a) b) (+ (* b b) (* a a))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.584 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 5.584 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 5.584 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.584 * [taylor]: Taking taylor expansion of a in b 5.584 * [backup-simplify]: Simplify a into a 5.584 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 5.584 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 5.584 * [taylor]: Taking taylor expansion of 2 in b 5.584 * [backup-simplify]: Simplify 2 into 2 5.584 * [taylor]: Taking taylor expansion of (* a b) in b 5.584 * [taylor]: Taking taylor expansion of a in b 5.584 * [backup-simplify]: Simplify a into a 5.584 * [taylor]: Taking taylor expansion of b in b 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.584 * [taylor]: Taking taylor expansion of b in b 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.584 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.584 * [taylor]: Taking taylor expansion of a in a 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.584 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.584 * [taylor]: Taking taylor expansion of 2 in a 5.584 * [backup-simplify]: Simplify 2 into 2 5.584 * [taylor]: Taking taylor expansion of (* a b) in a 5.584 * [taylor]: Taking taylor expansion of a in a 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of b in a 5.584 * [backup-simplify]: Simplify b into b 5.584 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.584 * [taylor]: Taking taylor expansion of b in a 5.584 * [backup-simplify]: Simplify b into b 5.584 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.584 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.584 * [taylor]: Taking taylor expansion of a in a 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.584 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.584 * [taylor]: Taking taylor expansion of 2 in a 5.585 * [backup-simplify]: Simplify 2 into 2 5.585 * [taylor]: Taking taylor expansion of (* a b) in a 5.585 * [taylor]: Taking taylor expansion of a in a 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [taylor]: Taking taylor expansion of b in a 5.585 * [backup-simplify]: Simplify b into b 5.585 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.585 * [taylor]: Taking taylor expansion of b in a 5.585 * [backup-simplify]: Simplify b into b 5.585 * [backup-simplify]: Simplify (* 0 b) into 0 5.585 * [backup-simplify]: Simplify (* 2 0) into 0 5.585 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.585 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.585 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.585 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.585 * [taylor]: Taking taylor expansion of b in b 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.586 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 5.586 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 5.586 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 5.586 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 5.586 * [taylor]: Taking taylor expansion of (* 2 b) in b 5.586 * [taylor]: Taking taylor expansion of 2 in b 5.586 * [backup-simplify]: Simplify 2 into 2 5.586 * [taylor]: Taking taylor expansion of b in b 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (* 2 0) into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (* 1 1) into 1 5.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 5.588 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 0) into 0 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.588 * [taylor]: Taking taylor expansion of 1 in b 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.589 * [backup-simplify]: Simplify 2 into 2 5.589 * [backup-simplify]: Simplify (* 1 1) into 1 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.590 * [backup-simplify]: Simplify (+ (* (* 2 (/ 1 a)) (/ 1 b)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 5.590 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.590 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.590 * [taylor]: Taking taylor expansion of b in b 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.590 * [taylor]: Taking taylor expansion of 2 in b 5.590 * [backup-simplify]: Simplify 2 into 2 5.590 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.590 * [taylor]: Taking taylor expansion of (* a b) in b 5.591 * [taylor]: Taking taylor expansion of a in b 5.591 * [backup-simplify]: Simplify a into a 5.591 * [taylor]: Taking taylor expansion of b in b 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 1 into 1 5.591 * [backup-simplify]: Simplify (* a 0) into 0 5.591 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.591 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.591 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.591 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.591 * [taylor]: Taking taylor expansion of a in b 5.591 * [backup-simplify]: Simplify a into a 5.591 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.591 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.591 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.591 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.591 * [taylor]: Taking taylor expansion of b in a 5.591 * [backup-simplify]: Simplify b into b 5.591 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.591 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.591 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.591 * [taylor]: Taking taylor expansion of 2 in a 5.591 * [backup-simplify]: Simplify 2 into 2 5.591 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.591 * [taylor]: Taking taylor expansion of (* a b) in a 5.592 * [taylor]: Taking taylor expansion of a in a 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of b in a 5.592 * [backup-simplify]: Simplify b into b 5.592 * [backup-simplify]: Simplify (* 0 b) into 0 5.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.592 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.592 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.592 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.592 * [taylor]: Taking taylor expansion of a in a 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (* 1 1) into 1 5.592 * [backup-simplify]: Simplify (/ 1 1) into 1 5.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.593 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.593 * [taylor]: Taking taylor expansion of b in a 5.593 * [backup-simplify]: Simplify b into b 5.593 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.593 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.593 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.593 * [taylor]: Taking taylor expansion of 2 in a 5.593 * [backup-simplify]: Simplify 2 into 2 5.593 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.593 * [taylor]: Taking taylor expansion of (* a b) in a 5.593 * [taylor]: Taking taylor expansion of a in a 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [taylor]: Taking taylor expansion of b in a 5.593 * [backup-simplify]: Simplify b into b 5.593 * [backup-simplify]: Simplify (* 0 b) into 0 5.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.593 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.593 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.593 * [taylor]: Taking taylor expansion of a in a 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.594 * [backup-simplify]: Simplify (* 1 1) into 1 5.594 * [backup-simplify]: Simplify (/ 1 1) into 1 5.594 * [backup-simplify]: Simplify (+ 0 1) into 1 5.594 * [backup-simplify]: Simplify (+ 0 1) into 1 5.594 * [taylor]: Taking taylor expansion of 1 in b 5.594 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.596 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.596 * [taylor]: Taking taylor expansion of 2 in b 5.596 * [backup-simplify]: Simplify 2 into 2 5.596 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.596 * [taylor]: Taking taylor expansion of b in b 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 1 into 1 5.596 * [backup-simplify]: Simplify (/ 1 1) into 1 5.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.598 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.598 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.598 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.598 * [taylor]: Taking taylor expansion of b in b 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.599 * [backup-simplify]: Simplify (* 1 1) into 1 5.599 * [backup-simplify]: Simplify (/ 1 1) into 1 5.599 * [backup-simplify]: Simplify 1 into 1 5.599 * [backup-simplify]: Simplify (* 2 1) into 2 5.599 * [backup-simplify]: Simplify 2 into 2 5.599 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.600 * [backup-simplify]: Simplify (+ (* (* 2 (/ 1 (- a))) (/ 1 (- b))) (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 5.600 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.600 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.600 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.600 * [taylor]: Taking taylor expansion of b in b 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.601 * [backup-simplify]: Simplify (/ 1 1) into 1 5.601 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.601 * [taylor]: Taking taylor expansion of 2 in b 5.601 * [backup-simplify]: Simplify 2 into 2 5.601 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.601 * [taylor]: Taking taylor expansion of (* a b) in b 5.601 * [taylor]: Taking taylor expansion of a in b 5.601 * [backup-simplify]: Simplify a into a 5.601 * [taylor]: Taking taylor expansion of b in b 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (* a 0) into 0 5.601 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.601 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.601 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.601 * [taylor]: Taking taylor expansion of a in b 5.601 * [backup-simplify]: Simplify a into a 5.601 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.601 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.601 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.601 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.601 * [taylor]: Taking taylor expansion of b in a 5.601 * [backup-simplify]: Simplify b into b 5.601 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.602 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.602 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.602 * [taylor]: Taking taylor expansion of 2 in a 5.602 * [backup-simplify]: Simplify 2 into 2 5.602 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.602 * [taylor]: Taking taylor expansion of (* a b) in a 5.602 * [taylor]: Taking taylor expansion of a in a 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [taylor]: Taking taylor expansion of b in a 5.602 * [backup-simplify]: Simplify b into b 5.602 * [backup-simplify]: Simplify (* 0 b) into 0 5.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.602 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.602 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.602 * [taylor]: Taking taylor expansion of a in a 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.603 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.603 * [taylor]: Taking taylor expansion of b in a 5.603 * [backup-simplify]: Simplify b into b 5.603 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.603 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.603 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.603 * [taylor]: Taking taylor expansion of 2 in a 5.603 * [backup-simplify]: Simplify 2 into 2 5.603 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.603 * [taylor]: Taking taylor expansion of (* a b) in a 5.603 * [taylor]: Taking taylor expansion of a in a 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [taylor]: Taking taylor expansion of b in a 5.603 * [backup-simplify]: Simplify b into b 5.603 * [backup-simplify]: Simplify (* 0 b) into 0 5.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.604 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.604 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.604 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.604 * [taylor]: Taking taylor expansion of a in a 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (* 1 1) into 1 5.605 * [backup-simplify]: Simplify (/ 1 1) into 1 5.605 * [backup-simplify]: Simplify (+ 0 1) into 1 5.606 * [backup-simplify]: Simplify (+ 0 1) into 1 5.606 * [taylor]: Taking taylor expansion of 1 in b 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.607 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.607 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.608 * [taylor]: Taking taylor expansion of 2 in b 5.608 * [backup-simplify]: Simplify 2 into 2 5.608 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.608 * [taylor]: Taking taylor expansion of b in b 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.609 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.612 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.612 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.612 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.612 * [taylor]: Taking taylor expansion of b in b 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (* 2 1) into 2 5.613 * [backup-simplify]: Simplify 2 into 2 5.613 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.614 * * * [progress]: simplifying candidates 5.615 * [simplify]: Simplifying: (* (exp (* b b)) (exp (* a a))) (log (+ (* b b) (* a a))) (exp (+ (* b b) (* a a))) (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) (cbrt (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a))) (sqrt (+ (* b b) (* a a))) (sqrt (+ (* b b) (* a a))) (+ (pow (* b b) 3) (pow (* a a) 3)) (+ (* (* b b) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* a a)))) (- (* (* b b) (* b b)) (* (* a a) (* a a))) (- (* b b) (* a a)) (* (exp (* (* 2 a) b)) (* (exp (* b b)) (exp (* a a)))) (* (exp (* (* 2 a) b)) (exp (+ (* b b) (* a a)))) (log (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (exp (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (* (cbrt (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (cbrt (+ (* (* 2 a) b) (+ (* b b) (* a a))))) (cbrt (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (* (* (+ (* (* 2 a) b) (+ (* b b) (* a a))) (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (sqrt (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (sqrt (+ (* (* 2 a) b) (+ (* b b) (* a a)))) (+ (pow (* (* 2 a) b) 3) (pow (+ (* b b) (* a a)) 3)) (+ (* (* (* 2 a) b) (* (* 2 a) b)) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* 2 a) b) (+ (* b b) (* a a))))) (- (* (* (* 2 a) b) (* (* 2 a) b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- (* (* 2 a) b) (+ (* b b) (* a a))) (+ (* (* 2 a) b) (* b b)) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.616 * * [simplify]: Extracting # 0 : cost 0 5.616 * * [simplify]: Extracting # 1 : cost 0 5.616 * * [simplify]: Extracting # 2 : cost 0 5.616 * * [simplify]: Extracting # 3 : cost 0 5.617 * * [simplify]: Extracting # 4 : cost 0 5.617 * * [simplify]: Extracting # 5 : cost 0 5.617 * * [simplify]: Extracting # 6 : cost 0 5.617 * * [simplify]: Extracting # 7 : cost 0 5.617 * * [simplify]: iteration 0 : 57 enodes (cost 483 ) 5.649 * * [simplify]: Extracting # 0 : cost 0 5.649 * * [simplify]: Extracting # 1 : cost 0 5.650 * * [simplify]: Extracting # 2 : cost 0 5.650 * * [simplify]: Extracting # 3 : cost 0 5.650 * * [simplify]: Extracting # 4 : cost 0 5.651 * * [simplify]: Extracting # 5 : cost 0 5.651 * * [simplify]: iteration 1 : 192 enodes (cost 419 ) 5.761 * * [simplify]: Extracting # 0 : cost 0 5.763 * * [simplify]: Extracting # 1 : cost 0 5.764 * * [simplify]: Extracting # 2 : cost 0 5.766 * * [simplify]: Extracting # 3 : cost 0 5.767 * * [simplify]: Extracting # 4 : cost 0 5.768 * * [simplify]: iteration 2 : 768 enodes (cost 375 ) 6.572 * * [simplify]: Extracting # 0 : cost 0 6.579 * * [simplify]: Extracting # 1 : cost 0 6.591 * * [simplify]: Extracting # 2 : cost 0 6.597 * * [simplify]: Extracting # 3 : cost 0 6.604 * * [simplify]: Extracting # 4 : cost 0 6.611 * * [simplify]: iteration 3 : 3429 enodes (cost 373 ) 8.289 * * [simplify]: Extracting # 0 : cost 0 8.299 * * [simplify]: Extracting # 1 : cost 0 8.305 * * [simplify]: Extracting # 2 : cost 0 8.310 * * [simplify]: Extracting # 3 : cost 0 8.315 * * [simplify]: Extracting # 4 : cost 0 8.321 * * [simplify]: iteration done: 5001 enodes (cost 373 ) 8.321 * [simplify]: Simplified to: (exp (+ (* b b) (* a a))) (log (+ (* b b) (* a a))) (exp (+ (* b b) (* a a))) (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) (cbrt (+ (* b b) (* a a))) (pow (+ (pow a 2) (pow b 2)) 3) (sqrt (+ (* b b) (* a a))) (sqrt (+ (* b b) (* a a))) (+ (pow b 6) (pow a 6)) (+ (* (* a a) (- (* a a) (* b b))) (pow b 4)) (- (pow b 4) (pow a 4)) (- (* b b) (* a a)) (exp (+ (* a a) (* b (+ (* 2 a) b)))) (exp (+ (* a a) (* b (+ (* 2 a) b)))) (log (+ (* a a) (* b (+ (* 2 a) b)))) (exp (+ (* a a) (* b (+ (* 2 a) b)))) (* (cbrt (+ (* a a) (* b (+ (* 2 a) b)))) (cbrt (+ (* a a) (* b (+ (* 2 a) b))))) (cbrt (+ (* a a) (* b (+ (* 2 a) b)))) (pow (+ (* a a) (* b (+ (* 2 a) b))) 3) (sqrt (+ (* a a) (* b (+ (* 2 a) b)))) (sqrt (+ (* a a) (* b (+ (* 2 a) b)))) (+ (pow (* (* 2 a) b) 3) (pow (+ (* b b) (* a a)) 3)) (+ (* (* (* b b) (* a a)) 4) (* (+ (* a (- a (* 2 b))) (* b b)) (+ (* b b) (* a a)))) (* (+ (* a a) (* b (+ (* 2 a) b))) (- (* b (- (* 2 a) b)) (* a a))) (- (* b (- (* 2 a) b)) (* a a)) (* b (+ (* 2 a) b)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (+ (* a a) (* b (+ (* 2 a) b))) (+ (* a a) (* b (+ (* 2 a) b))) (+ (* a a) (* b (+ (* 2 a) b))) 8.321 * * * [progress]: adding candidates to table 8.393 * [progress]: [Phase 3 of 3] Extracting. 8.395 * [simplify]: Simplifying: (+ (* (* 2 a) b) (+ (* b b) (* a a))) 8.395 * * [simplify]: Extracting # 0 : cost 0 8.395 * * [simplify]: Extracting # 1 : cost 0 8.395 * * [simplify]: Extracting # 2 : cost 0 8.395 * * [simplify]: Extracting # 3 : cost 0 8.395 * * [simplify]: Extracting # 4 : cost 0 8.395 * * [simplify]: Extracting # 5 : cost 0 8.395 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 8.396 * * [simplify]: Extracting # 0 : cost 0 8.396 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 8.397 * * [simplify]: Extracting # 0 : cost 0 8.397 * * [simplify]: iteration done: 13 enodes (cost 13 ) 8.397 * [simplify]: Simplified to: (+ (* (* 2 a) b) (+ (* b b) (* a a))) 9.164 * [regime-testing]: End program error score: 0.0133766720840105 9.193 * [regime-testing]: Target error score: 0.011501437679709963