33.443 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.018 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: Extracting # 1 : cost 0 0.019 * * [simplify]: Extracting # 2 : cost 0 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.139 * * [simplify]: Extracting # 0 : cost 0 0.139 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.139 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.140 * * [progress]: iteration 1 / 4 0.140 * * * [progress]: picking best candidate 0.142 * * * * [pick]: Picked # 0.142 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.205 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.205 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.205 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.205 * [taylor]: Taking taylor expansion of (+ a b) in b 0.205 * [taylor]: Taking taylor expansion of a in b 0.205 * [backup-simplify]: Simplify a into a 0.205 * [taylor]: Taking taylor expansion of b in b 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ a 0) into a 0.205 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.205 * [taylor]: Taking taylor expansion of (+ a b) in a 0.205 * [taylor]: Taking taylor expansion of a in a 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of b in a 0.205 * [backup-simplify]: Simplify b into b 0.205 * [backup-simplify]: Simplify (+ 0 b) into b 0.205 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.205 * [taylor]: Taking taylor expansion of (+ a b) in a 0.205 * [taylor]: Taking taylor expansion of a in a 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of b in a 0.205 * [backup-simplify]: Simplify b into b 0.205 * [backup-simplify]: Simplify (+ 0 b) into b 0.206 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.206 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.206 * [taylor]: Taking taylor expansion of b in b 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.206 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.206 * [taylor]: Taking taylor expansion of 2 in b 0.206 * [backup-simplify]: Simplify 2 into 2 0.206 * [taylor]: Taking taylor expansion of b in b 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 2 0) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.207 * [taylor]: Taking taylor expansion of 1 in b 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.208 * [backup-simplify]: Simplify 2 into 2 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [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))) 0.209 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.209 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.209 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.209 * [taylor]: Taking taylor expansion of b in b 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.209 * [taylor]: Taking taylor expansion of a in b 0.209 * [backup-simplify]: Simplify a into a 0.209 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.209 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.209 * [taylor]: Taking taylor expansion of b in a 0.210 * [backup-simplify]: Simplify b into b 0.210 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.210 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.210 * [taylor]: Taking taylor expansion of a in a 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.210 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.210 * [taylor]: Taking taylor expansion of b in a 0.210 * [backup-simplify]: Simplify b into b 0.210 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.210 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.210 * [taylor]: Taking taylor expansion of a in a 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ 0 1) into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of 1 in b 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.212 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.212 * [taylor]: Taking taylor expansion of 2 in b 0.212 * [backup-simplify]: Simplify 2 into 2 0.212 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.212 * [taylor]: Taking taylor expansion of b in b 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.214 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.214 * [taylor]: Taking taylor expansion of b in b 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 2 1) into 2 0.215 * [backup-simplify]: Simplify 2 into 2 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [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))) 0.216 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.216 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.216 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.216 * [taylor]: Taking taylor expansion of (/ 1 b) in b 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 (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.216 * [taylor]: Taking taylor expansion of a in b 0.216 * [backup-simplify]: Simplify a into a 0.216 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.217 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.217 * [taylor]: Taking taylor expansion of b in a 0.217 * [backup-simplify]: Simplify b into b 0.217 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.217 * [taylor]: Taking taylor expansion of (/ 1 a) 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 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ 0 1) into 1 0.218 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.218 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.218 * [taylor]: Taking taylor expansion of b in a 0.218 * [backup-simplify]: Simplify b into b 0.218 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.218 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.218 * [taylor]: Taking taylor expansion of a in a 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ 0 1) into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of 1 in b 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.221 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.221 * [taylor]: Taking taylor expansion of 2 in b 0.221 * [backup-simplify]: Simplify 2 into 2 0.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.221 * [taylor]: Taking taylor expansion of b in b 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.224 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.224 * [taylor]: Taking taylor expansion of b in b 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 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 2 1) into 2 0.225 * [backup-simplify]: Simplify 2 into 2 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [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))) 0.226 * * * [progress]: simplifying candidates 0.227 * [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))) 0.229 * * [simplify]: Extracting # 0 : cost 0 0.229 * * [simplify]: Extracting # 1 : cost 0 0.229 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: Extracting # 4 : cost 0 0.230 * * [simplify]: Extracting # 5 : cost 0 0.230 * * [simplify]: Extracting # 6 : cost 0 0.230 * * [simplify]: Extracting # 7 : cost 0 0.230 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.262 * * [simplify]: Extracting # 0 : cost 0 0.262 * * [simplify]: Extracting # 1 : cost 0 0.263 * * [simplify]: Extracting # 2 : cost 0 0.267 * * [simplify]: Extracting # 3 : cost 0 0.267 * * [simplify]: Extracting # 4 : cost 0 0.267 * * [simplify]: iteration 1 : 188 enodes (cost 453 ) 0.345 * * [simplify]: Extracting # 0 : cost 0 0.345 * * [simplify]: Extracting # 1 : cost 0 0.346 * * [simplify]: Extracting # 2 : cost 0 0.347 * * [simplify]: Extracting # 3 : cost 0 0.348 * * [simplify]: Extracting # 4 : cost 0 0.349 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.299 * * [simplify]: Extracting # 0 : cost 0 1.307 * * [simplify]: Extracting # 1 : cost 0 1.310 * * [simplify]: Extracting # 2 : cost 0 1.313 * * [simplify]: Extracting # 3 : cost 0 1.316 * * [simplify]: Extracting # 4 : cost 0 1.319 * * [simplify]: Extracting # 5 : cost 0 1.322 * * [simplify]: iteration 3 : 3324 enodes (cost 376 ) 2.710 * * [simplify]: Extracting # 0 : cost 0 2.716 * * [simplify]: Extracting # 1 : cost 0 2.727 * * [simplify]: Extracting # 2 : cost 0 2.732 * * [simplify]: Extracting # 3 : cost 0 2.736 * * [simplify]: Extracting # 4 : cost 0 2.741 * * [simplify]: iteration done: 5001 enodes (cost 373 ) 2.742 * [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)) 2.742 * * * [progress]: adding candidates to table 2.801 * * [progress]: iteration 2 / 4 2.802 * * * [progress]: picking best candidate 2.806 * * * * [pick]: Picked # 2.806 * * * [progress]: localizing error 2.821 * * * [progress]: generating rewritten candidates 2.821 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.874 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.901 * * * [progress]: generating series expansions 2.901 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.901 * [backup-simplify]: Simplify (* b (+ (* 2 a) b)) into (* (+ (* 2 a) b) b) 2.901 * [approximate]: Taking taylor expansion of (* (+ (* 2 a) b) b) in (b a) around 0 2.901 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in a 2.901 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in a 2.901 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.901 * [taylor]: Taking taylor expansion of 2 in a 2.901 * [backup-simplify]: Simplify 2 into 2 2.901 * [taylor]: Taking taylor expansion of a in a 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of b in a 2.901 * [backup-simplify]: Simplify b into b 2.901 * [taylor]: Taking taylor expansion of b in a 2.901 * [backup-simplify]: Simplify b into b 2.901 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in b 2.901 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in b 2.901 * [taylor]: Taking taylor expansion of (* 2 a) in b 2.901 * [taylor]: Taking taylor expansion of 2 in b 2.901 * [backup-simplify]: Simplify 2 into 2 2.901 * [taylor]: Taking taylor expansion of a in b 2.901 * [backup-simplify]: Simplify a into a 2.901 * [taylor]: Taking taylor expansion of b in b 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of b in b 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of (* (+ (* 2 a) b) b) in b 2.901 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in b 2.901 * [taylor]: Taking taylor expansion of (* 2 a) in b 2.901 * [taylor]: Taking taylor expansion of 2 in b 2.901 * [backup-simplify]: Simplify 2 into 2 2.901 * [taylor]: Taking taylor expansion of a in b 2.901 * [backup-simplify]: Simplify a into a 2.901 * [taylor]: Taking taylor expansion of b in b 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of b in b 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 2 a) into (* 2 a) 2.902 * [backup-simplify]: Simplify (+ (* 2 a) 0) into (* 2 a) 2.902 * [backup-simplify]: Simplify (* (* 2 a) 0) into 0 2.902 * [taylor]: Taking taylor expansion of 0 in a 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 a)) into 0 2.903 * [backup-simplify]: Simplify (+ 0 1) into 1 2.903 * [backup-simplify]: Simplify (+ (* (* 2 a) 1) (* 1 0)) into (* 2 a) 2.903 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.903 * [taylor]: Taking taylor expansion of 2 in a 2.903 * [backup-simplify]: Simplify 2 into 2 2.903 * [taylor]: Taking taylor expansion of a in a 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 2 0) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 a))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 1) (* 0 0))) into 1 2.904 * [taylor]: Taking taylor expansion of 1 in a 2.904 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.905 * [backup-simplify]: Simplify 2 into 2 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.906 * [taylor]: Taking taylor expansion of 0 in a 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (+ (* (* 2 a) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.909 * [taylor]: Taking taylor expansion of 0 in a 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2))) into (+ (* 2 (* a b)) (pow b 2)) 2.909 * [backup-simplify]: Simplify (* (/ 1 b) (+ (* 2 (/ 1 a)) (/ 1 b))) into (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) 2.909 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in (b a) around 0 2.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in a 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 2.909 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.909 * [taylor]: Taking taylor expansion of b in a 2.909 * [backup-simplify]: Simplify b into b 2.910 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.910 * [taylor]: Taking taylor expansion of 2 in a 2.910 * [backup-simplify]: Simplify 2 into 2 2.910 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.910 * [taylor]: Taking taylor expansion of a in a 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of b in a 2.910 * [backup-simplify]: Simplify b into b 2.910 * [backup-simplify]: Simplify (* 2 1) into 2 2.910 * [backup-simplify]: Simplify (+ 0 2) into 2 2.910 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 2.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.911 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.911 * [taylor]: Taking taylor expansion of b in b 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.911 * [taylor]: Taking taylor expansion of 2 in b 2.911 * [backup-simplify]: Simplify 2 into 2 2.911 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.911 * [taylor]: Taking taylor expansion of a in b 2.911 * [backup-simplify]: Simplify a into a 2.911 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.911 * [taylor]: Taking taylor expansion of b in b 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.912 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.912 * [taylor]: Taking taylor expansion of b in b 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.912 * [taylor]: Taking taylor expansion of 2 in b 2.912 * [backup-simplify]: Simplify 2 into 2 2.912 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.912 * [taylor]: Taking taylor expansion of a in b 2.912 * [backup-simplify]: Simplify a into a 2.912 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.912 * [taylor]: Taking taylor expansion of b in b 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of 1 in a 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.913 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 2.914 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 a)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 a)) 2.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.914 * [taylor]: Taking taylor expansion of 2 in a 2.914 * [backup-simplify]: Simplify 2 into 2 2.914 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.914 * [taylor]: Taking taylor expansion of a in a 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (* 2 1) into 2 2.914 * [backup-simplify]: Simplify 2 into 2 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)))) into 0 2.918 * [taylor]: Taking taylor expansion of 0 in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.924 * [taylor]: Taking taylor expansion of 0 in a 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [taylor]: Taking taylor expansion of 0 in a 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 2 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (+ (* 2 (* a b)) (pow b 2)) 2.932 * [backup-simplify]: Simplify (* (/ 1 (- b)) (+ (* 2 (/ 1 (- a))) (/ 1 (- b)))) into (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) 2.932 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in (b a) around 0 2.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in a 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 2.932 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.932 * [taylor]: Taking taylor expansion of b in a 2.933 * [backup-simplify]: Simplify b into b 2.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.933 * [taylor]: Taking taylor expansion of 2 in a 2.933 * [backup-simplify]: Simplify 2 into 2 2.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.933 * [taylor]: Taking taylor expansion of a in a 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.933 * [taylor]: Taking taylor expansion of b in a 2.933 * [backup-simplify]: Simplify b into b 2.934 * [backup-simplify]: Simplify (* 2 1) into 2 2.934 * [backup-simplify]: Simplify (+ 0 2) into 2 2.934 * [backup-simplify]: Simplify (/ 2 b) into (/ 2 b) 2.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.934 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.934 * [taylor]: Taking taylor expansion of b in b 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.935 * [taylor]: Taking taylor expansion of 2 in b 2.935 * [backup-simplify]: Simplify 2 into 2 2.935 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.935 * [taylor]: Taking taylor expansion of a in b 2.935 * [backup-simplify]: Simplify a into a 2.935 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.935 * [taylor]: Taking taylor expansion of b in b 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 b) (* 2 (/ 1 a))) b) in b 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 2.936 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.936 * [taylor]: Taking taylor expansion of b in b 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 2.936 * [taylor]: Taking taylor expansion of 2 in b 2.936 * [backup-simplify]: Simplify 2 into 2 2.936 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.936 * [taylor]: Taking taylor expansion of a in b 2.936 * [backup-simplify]: Simplify a into a 2.937 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.937 * [taylor]: Taking taylor expansion of b in b 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (+ 1 0) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of 1 in a 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.939 * [backup-simplify]: Simplify (+ 0 (/ 2 a)) into (* 2 (/ 1 a)) 2.939 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 a)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 a)) 2.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.940 * [taylor]: Taking taylor expansion of 2 in a 2.940 * [backup-simplify]: Simplify 2 into 2 2.940 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.940 * [taylor]: Taking taylor expansion of a in a 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (* 2 1) into 2 2.941 * [backup-simplify]: Simplify 2 into 2 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.942 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)))) into 0 2.945 * [taylor]: Taking taylor expansion of 0 in a 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [taylor]: Taking taylor expansion of 0 in a 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [taylor]: Taking taylor expansion of 0 in a 2.957 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 2 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (+ (* 2 (* a b)) (pow b 2)) 2.958 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.958 * [backup-simplify]: Simplify (+ (* b (+ (* 2 a) b)) (* a a)) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.958 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (b a) around 0 2.958 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.959 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.959 * [taylor]: Taking taylor expansion of a in a 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.959 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.959 * [taylor]: Taking taylor expansion of 2 in a 2.959 * [backup-simplify]: Simplify 2 into 2 2.959 * [taylor]: Taking taylor expansion of (* a b) in a 2.959 * [taylor]: Taking taylor expansion of a in a 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of b in a 2.959 * [backup-simplify]: Simplify b into b 2.959 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.959 * [taylor]: Taking taylor expansion of b in a 2.959 * [backup-simplify]: Simplify b into b 2.959 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.959 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.959 * [taylor]: Taking taylor expansion of a in b 2.959 * [backup-simplify]: Simplify a into a 2.959 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.959 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.959 * [taylor]: Taking taylor expansion of 2 in b 2.959 * [backup-simplify]: Simplify 2 into 2 2.959 * [taylor]: Taking taylor expansion of (* a b) in b 2.959 * [taylor]: Taking taylor expansion of a in b 2.959 * [backup-simplify]: Simplify a into a 2.959 * [taylor]: Taking taylor expansion of b in b 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.959 * [taylor]: Taking taylor expansion of b in b 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.960 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.960 * [taylor]: Taking taylor expansion of a in b 2.960 * [backup-simplify]: Simplify a into a 2.960 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.960 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.960 * [taylor]: Taking taylor expansion of 2 in b 2.960 * [backup-simplify]: Simplify 2 into 2 2.960 * [taylor]: Taking taylor expansion of (* a b) in b 2.960 * [taylor]: Taking taylor expansion of a in b 2.960 * [backup-simplify]: Simplify a into a 2.960 * [taylor]: Taking taylor expansion of b in b 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.960 * [taylor]: Taking taylor expansion of b in b 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.960 * [backup-simplify]: Simplify (* a 0) into 0 2.961 * [backup-simplify]: Simplify (* 2 0) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.961 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 2.961 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.961 * [taylor]: Taking taylor expansion of a in a 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.962 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.962 * [backup-simplify]: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) 2.962 * [backup-simplify]: Simplify (+ (* 2 a) 0) into (* 2 a) 2.962 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 2.962 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.962 * [taylor]: Taking taylor expansion of 2 in a 2.963 * [backup-simplify]: Simplify 2 into 2 2.963 * [taylor]: Taking taylor expansion of a in a 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (* 2 0) into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.964 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 a) (* 0 0))) into 0 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.966 * [backup-simplify]: Simplify (+ 0 1) into 1 2.966 * [backup-simplify]: Simplify (+ 0 1) into 1 2.966 * [taylor]: Taking taylor expansion of 1 in a 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.967 * [backup-simplify]: Simplify 2 into 2 2.967 * [backup-simplify]: Simplify (* 1 1) into 1 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [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))) 2.968 * [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)))) 2.968 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (b a) around 0 2.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.968 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.968 * [taylor]: Taking taylor expansion of b in a 2.968 * [backup-simplify]: Simplify b into b 2.968 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.968 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.968 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.968 * [taylor]: Taking taylor expansion of 2 in a 2.968 * [backup-simplify]: Simplify 2 into 2 2.968 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.968 * [taylor]: Taking taylor expansion of (* a b) in a 2.968 * [taylor]: Taking taylor expansion of a in a 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of b in a 2.968 * [backup-simplify]: Simplify b into b 2.968 * [backup-simplify]: Simplify (* 0 b) into 0 2.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.968 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.969 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.969 * [taylor]: Taking taylor expansion of a in a 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (* 1 1) into 1 2.969 * [backup-simplify]: Simplify (/ 1 1) into 1 2.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.969 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.969 * [taylor]: Taking taylor expansion of b in b 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.970 * [taylor]: Taking taylor expansion of 2 in b 2.970 * [backup-simplify]: Simplify 2 into 2 2.970 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.970 * [taylor]: Taking taylor expansion of (* a b) in b 2.970 * [taylor]: Taking taylor expansion of a in b 2.970 * [backup-simplify]: Simplify a into a 2.970 * [taylor]: Taking taylor expansion of b in b 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* a 0) into 0 2.970 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.970 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.970 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.970 * [taylor]: Taking taylor expansion of a in b 2.970 * [backup-simplify]: Simplify a into a 2.970 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.970 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.970 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.970 * [taylor]: Taking taylor expansion of b in b 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (/ 1 1) into 1 2.971 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.971 * [taylor]: Taking taylor expansion of 2 in b 2.971 * [backup-simplify]: Simplify 2 into 2 2.971 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.971 * [taylor]: Taking taylor expansion of (* a b) in b 2.971 * [taylor]: Taking taylor expansion of a in b 2.971 * [backup-simplify]: Simplify a into a 2.971 * [taylor]: Taking taylor expansion of b in b 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* a 0) into 0 2.971 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.971 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.972 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.972 * [taylor]: Taking taylor expansion of a in b 2.972 * [backup-simplify]: Simplify a into a 2.972 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.972 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.972 * [backup-simplify]: Simplify (+ 1 0) into 1 2.972 * [taylor]: Taking taylor expansion of 1 in a 2.972 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.973 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.973 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.973 * [taylor]: Taking taylor expansion of 2 in a 2.973 * [backup-simplify]: Simplify 2 into 2 2.973 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.973 * [taylor]: Taking taylor expansion of a in a 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.976 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.976 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.976 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.976 * [taylor]: Taking taylor expansion of a in a 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (* 1 1) into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (* 2 1) into 2 2.976 * [backup-simplify]: Simplify 2 into 2 2.976 * [backup-simplify]: Simplify 1 into 1 2.977 * [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))) 2.977 * [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)))) 2.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (b a) around 0 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.977 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.977 * [taylor]: Taking taylor expansion of b in a 2.977 * [backup-simplify]: Simplify b into b 2.977 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.977 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.977 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.977 * [taylor]: Taking taylor expansion of 2 in a 2.977 * [backup-simplify]: Simplify 2 into 2 2.978 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.978 * [taylor]: Taking taylor expansion of (* a b) in a 2.978 * [taylor]: Taking taylor expansion of a in a 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [taylor]: Taking taylor expansion of b in a 2.978 * [backup-simplify]: Simplify b into b 2.978 * [backup-simplify]: Simplify (* 0 b) into 0 2.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.978 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.978 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.978 * [taylor]: Taking taylor expansion of a in a 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.979 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.979 * [taylor]: Taking taylor expansion of b in b 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.979 * [taylor]: Taking taylor expansion of 2 in b 2.979 * [backup-simplify]: Simplify 2 into 2 2.979 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.979 * [taylor]: Taking taylor expansion of (* a b) in b 2.979 * [taylor]: Taking taylor expansion of a in b 2.979 * [backup-simplify]: Simplify a into a 2.979 * [taylor]: Taking taylor expansion of b in b 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* a 0) into 0 2.980 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.980 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.980 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.980 * [taylor]: Taking taylor expansion of a in b 2.980 * [backup-simplify]: Simplify a into a 2.980 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.980 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.980 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.980 * [taylor]: Taking taylor expansion of b in b 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.980 * [taylor]: Taking taylor expansion of 2 in b 2.981 * [backup-simplify]: Simplify 2 into 2 2.981 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.981 * [taylor]: Taking taylor expansion of (* a b) in b 2.981 * [taylor]: Taking taylor expansion of a in b 2.981 * [backup-simplify]: Simplify a into a 2.981 * [taylor]: Taking taylor expansion of b in b 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (* a 0) into 0 2.981 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.981 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.981 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.981 * [taylor]: Taking taylor expansion of a in b 2.981 * [backup-simplify]: Simplify a into a 2.981 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.981 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.982 * [backup-simplify]: Simplify (+ 1 0) into 1 2.982 * [taylor]: Taking taylor expansion of 1 in a 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.983 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.983 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.983 * [taylor]: Taking taylor expansion of 2 in a 2.983 * [backup-simplify]: Simplify 2 into 2 2.983 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.983 * [taylor]: Taking taylor expansion of a in a 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.985 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.985 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.985 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.985 * [taylor]: Taking taylor expansion of a in a 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 2 1) into 2 2.986 * [backup-simplify]: Simplify 2 into 2 2.986 * [backup-simplify]: Simplify 1 into 1 2.987 * [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))) 2.987 * * * [progress]: simplifying candidates 2.987 * [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))) 2.988 * * [simplify]: Extracting # 0 : cost 0 2.988 * * [simplify]: Extracting # 1 : cost 0 2.988 * * [simplify]: Extracting # 2 : cost 0 2.988 * * [simplify]: Extracting # 3 : cost 0 2.988 * * [simplify]: Extracting # 4 : cost 0 2.989 * * [simplify]: Extracting # 5 : cost 0 2.989 * * [simplify]: Extracting # 6 : cost 0 2.989 * * [simplify]: Extracting # 7 : cost 0 2.989 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 3.019 * * [simplify]: Extracting # 0 : cost 0 3.020 * * [simplify]: Extracting # 1 : cost 0 3.020 * * [simplify]: Extracting # 2 : cost 0 3.020 * * [simplify]: Extracting # 3 : cost 0 3.020 * * [simplify]: Extracting # 4 : cost 0 3.020 * * [simplify]: iteration 1 : 217 enodes (cost 485 ) 3.146 * * [simplify]: Extracting # 0 : cost 0 3.147 * * [simplify]: Extracting # 1 : cost 0 3.149 * * [simplify]: Extracting # 2 : cost 0 3.150 * * [simplify]: Extracting # 3 : cost 0 3.151 * * [simplify]: Extracting # 4 : cost 0 3.157 * * [simplify]: iteration 2 : 738 enodes (cost 445 ) 4.021 * * [simplify]: Extracting # 0 : cost 0 4.026 * * [simplify]: Extracting # 1 : cost 0 4.029 * * [simplify]: Extracting # 2 : cost 0 4.031 * * [simplify]: Extracting # 3 : cost 0 4.034 * * [simplify]: Extracting # 4 : cost 0 4.036 * * [simplify]: iteration 3 : 3344 enodes (cost 437 ) 5.145 * * [simplify]: Extracting # 0 : cost 0 5.153 * * [simplify]: Extracting # 1 : cost 0 5.163 * * [simplify]: Extracting # 2 : cost 0 5.172 * * [simplify]: Extracting # 3 : cost 0 5.181 * * [simplify]: Extracting # 4 : cost 0 5.200 * * [simplify]: iteration done: 5001 enodes (cost 437 ) 5.201 * [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)) 5.201 * * * [progress]: adding candidates to table 5.324 * * [progress]: iteration 3 / 4 5.324 * * * [progress]: picking best candidate 5.326 * * * * [pick]: Picked # 5.326 * * * [progress]: localizing error 5.342 * * * [progress]: generating rewritten candidates 5.342 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.367 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.414 * * * [progress]: generating series expansions 5.414 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.414 * [backup-simplify]: Simplify (+ (* b b) (* a a)) into (+ (pow a 2) (pow b 2)) 5.414 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (b a) around 0 5.414 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 5.414 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.414 * [taylor]: Taking taylor expansion of a in a 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.414 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.414 * [taylor]: Taking taylor expansion of b in a 5.414 * [backup-simplify]: Simplify b into b 5.414 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 5.415 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.415 * [taylor]: Taking taylor expansion of a in b 5.415 * [backup-simplify]: Simplify a into a 5.415 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.415 * [taylor]: Taking taylor expansion of b in b 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 5.415 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.415 * [taylor]: Taking taylor expansion of a in b 5.415 * [backup-simplify]: Simplify a into a 5.415 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.415 * [taylor]: Taking taylor expansion of b in b 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.415 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 5.415 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.415 * [taylor]: Taking taylor expansion of a in a 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.416 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [taylor]: Taking taylor expansion of 0 in a 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.416 * [backup-simplify]: Simplify (* 1 1) into 1 5.416 * [backup-simplify]: Simplify (+ 0 1) into 1 5.416 * [taylor]: Taking taylor expansion of 1 in a 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (* 1 1) into 1 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.418 * [taylor]: Taking taylor expansion of 0 in a 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 5.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.420 * [taylor]: Taking taylor expansion of 0 in a 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (+ (pow a 2) (pow b 2)) 5.420 * [backup-simplify]: Simplify (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) 5.421 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 5.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 5.421 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.421 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.421 * [taylor]: Taking taylor expansion of b in a 5.421 * [backup-simplify]: Simplify b into b 5.421 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.421 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.421 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.421 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.421 * [taylor]: Taking taylor expansion of a in a 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (* 1 1) into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.422 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.422 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.422 * [taylor]: Taking taylor expansion of b in b 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (* 1 1) into 1 5.422 * [backup-simplify]: Simplify (/ 1 1) into 1 5.422 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.422 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.422 * [taylor]: Taking taylor expansion of a in b 5.422 * [backup-simplify]: Simplify a into a 5.422 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.422 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.422 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.422 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.422 * [taylor]: Taking taylor expansion of b in b 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (* 1 1) into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.423 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.423 * [taylor]: Taking taylor expansion of a in b 5.423 * [backup-simplify]: Simplify a into a 5.423 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.423 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.423 * [backup-simplify]: Simplify (+ 1 0) into 1 5.423 * [taylor]: Taking taylor expansion of 1 in a 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [taylor]: Taking taylor expansion of 0 in a 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 5.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.426 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.426 * [taylor]: Taking taylor expansion of a in a 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (* 1 1) into 1 5.427 * [backup-simplify]: Simplify (/ 1 1) into 1 5.427 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [taylor]: Taking taylor expansion of 0 in a 5.428 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.431 * [taylor]: Taking taylor expansion of 0 in a 5.431 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (+ (pow a 2) (pow b 2)) 5.433 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) 5.433 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 5.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 5.433 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.433 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.433 * [taylor]: Taking taylor expansion of b in a 5.433 * [backup-simplify]: Simplify b into b 5.433 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.433 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.433 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.433 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.433 * [taylor]: Taking taylor expansion of a in a 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (* 1 1) into 1 5.434 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.434 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.434 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.434 * [taylor]: Taking taylor expansion of b in b 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (* 1 1) into 1 5.434 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.435 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.435 * [taylor]: Taking taylor expansion of a in b 5.435 * [backup-simplify]: Simplify a into a 5.435 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.435 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 5.435 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.435 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.435 * [taylor]: Taking taylor expansion of b in b 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.435 * [backup-simplify]: Simplify (* 1 1) into 1 5.435 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.435 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.435 * [taylor]: Taking taylor expansion of a in b 5.435 * [backup-simplify]: Simplify a into a 5.435 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.436 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.436 * [backup-simplify]: Simplify (+ 1 0) into 1 5.436 * [taylor]: Taking taylor expansion of 1 in a 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.437 * [backup-simplify]: Simplify (+ 0 0) into 0 5.437 * [taylor]: Taking taylor expansion of 0 in a 5.437 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) 5.438 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.438 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.438 * [taylor]: Taking taylor expansion of a in a 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (* 1 1) into 1 5.439 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 5.442 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [taylor]: Taking taylor expansion of 0 in a 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 5.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 5.447 * [backup-simplify]: Simplify (+ 0 0) into 0 5.447 * [taylor]: Taking taylor expansion of 0 in a 5.447 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (+ (pow a 2) (pow b 2)) 5.450 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.450 * [backup-simplify]: Simplify (+ (* (* 2 a) b) (+ (* b b) (* a a))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.450 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 5.450 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 5.450 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.450 * [taylor]: Taking taylor expansion of a in b 5.450 * [backup-simplify]: Simplify a into a 5.450 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 5.450 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 5.450 * [taylor]: Taking taylor expansion of 2 in b 5.450 * [backup-simplify]: Simplify 2 into 2 5.450 * [taylor]: Taking taylor expansion of (* a b) in b 5.450 * [taylor]: Taking taylor expansion of a in b 5.450 * [backup-simplify]: Simplify a into a 5.450 * [taylor]: Taking taylor expansion of b in b 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.450 * [taylor]: Taking taylor expansion of b in b 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.451 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.451 * [taylor]: Taking taylor expansion of a in a 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.451 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.451 * [taylor]: Taking taylor expansion of 2 in a 5.451 * [backup-simplify]: Simplify 2 into 2 5.451 * [taylor]: Taking taylor expansion of (* a b) in a 5.451 * [taylor]: Taking taylor expansion of a in a 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of b in a 5.451 * [backup-simplify]: Simplify b into b 5.451 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.451 * [taylor]: Taking taylor expansion of b in a 5.451 * [backup-simplify]: Simplify b into b 5.451 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.451 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.451 * [taylor]: Taking taylor expansion of a in a 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.451 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.451 * [taylor]: Taking taylor expansion of 2 in a 5.451 * [backup-simplify]: Simplify 2 into 2 5.451 * [taylor]: Taking taylor expansion of (* a b) in a 5.451 * [taylor]: Taking taylor expansion of a in a 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of b in a 5.451 * [backup-simplify]: Simplify b into b 5.451 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.451 * [taylor]: Taking taylor expansion of b in a 5.451 * [backup-simplify]: Simplify b into b 5.451 * [backup-simplify]: Simplify (* 0 b) into 0 5.452 * [backup-simplify]: Simplify (* 2 0) into 0 5.452 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.452 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.452 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.452 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.452 * [taylor]: Taking taylor expansion of b in b 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.453 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 5.453 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 5.453 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 5.453 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 5.453 * [taylor]: Taking taylor expansion of (* 2 b) in b 5.453 * [taylor]: Taking taylor expansion of 2 in b 5.454 * [backup-simplify]: Simplify 2 into 2 5.454 * [taylor]: Taking taylor expansion of b in b 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (* 2 0) into 0 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify (* 1 1) into 1 5.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 5.456 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 5.457 * [backup-simplify]: Simplify (+ 0 0) into 0 5.457 * [backup-simplify]: Simplify (+ 1 0) into 1 5.457 * [taylor]: Taking taylor expansion of 1 in b 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.458 * [backup-simplify]: Simplify 2 into 2 5.459 * [backup-simplify]: Simplify (* 1 1) into 1 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [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))) 5.460 * [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)))) 5.460 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.460 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.460 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.460 * [taylor]: Taking taylor expansion of b in b 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (* 1 1) into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.465 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.465 * [taylor]: Taking taylor expansion of 2 in b 5.465 * [backup-simplify]: Simplify 2 into 2 5.465 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.465 * [taylor]: Taking taylor expansion of (* a b) in b 5.465 * [taylor]: Taking taylor expansion of a in b 5.465 * [backup-simplify]: Simplify a into a 5.465 * [taylor]: Taking taylor expansion of b in b 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (* a 0) into 0 5.465 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.465 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.465 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.465 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.465 * [taylor]: Taking taylor expansion of a in b 5.466 * [backup-simplify]: Simplify a into a 5.466 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.466 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.466 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.466 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.466 * [taylor]: Taking taylor expansion of b in a 5.466 * [backup-simplify]: Simplify b into b 5.466 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.466 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.466 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.466 * [taylor]: Taking taylor expansion of 2 in a 5.466 * [backup-simplify]: Simplify 2 into 2 5.466 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.466 * [taylor]: Taking taylor expansion of (* a b) in a 5.466 * [taylor]: Taking taylor expansion of a in a 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [taylor]: Taking taylor expansion of b in a 5.466 * [backup-simplify]: Simplify b into b 5.466 * [backup-simplify]: Simplify (* 0 b) into 0 5.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.467 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.467 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.467 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.467 * [taylor]: Taking taylor expansion of a in a 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (* 1 1) into 1 5.468 * [backup-simplify]: Simplify (/ 1 1) into 1 5.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.468 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.468 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.468 * [taylor]: Taking taylor expansion of b in a 5.468 * [backup-simplify]: Simplify b into b 5.468 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.468 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.468 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.469 * [taylor]: Taking taylor expansion of 2 in a 5.469 * [backup-simplify]: Simplify 2 into 2 5.469 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.469 * [taylor]: Taking taylor expansion of (* a b) in a 5.469 * [taylor]: Taking taylor expansion of a in a 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [taylor]: Taking taylor expansion of b in a 5.469 * [backup-simplify]: Simplify b into b 5.469 * [backup-simplify]: Simplify (* 0 b) into 0 5.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.469 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.469 * [taylor]: Taking taylor expansion of a in a 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (* 1 1) into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [backup-simplify]: Simplify (+ 0 1) into 1 5.472 * [backup-simplify]: Simplify (+ 0 1) into 1 5.472 * [taylor]: Taking taylor expansion of 1 in b 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.473 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.473 * [taylor]: Taking taylor expansion of 2 in b 5.473 * [backup-simplify]: Simplify 2 into 2 5.473 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.474 * [taylor]: Taking taylor expansion of b in b 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (/ 1 1) into 1 5.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.478 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.478 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.478 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.478 * [taylor]: Taking taylor expansion of b in b 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.478 * [backup-simplify]: Simplify (* 1 1) into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.479 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (* 2 1) into 2 5.479 * [backup-simplify]: Simplify 2 into 2 5.479 * [backup-simplify]: Simplify 1 into 1 5.480 * [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))) 5.481 * [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)))) 5.481 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.481 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.481 * [taylor]: Taking taylor expansion of b in b 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (* 1 1) into 1 5.482 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.482 * [taylor]: Taking taylor expansion of 2 in b 5.482 * [backup-simplify]: Simplify 2 into 2 5.482 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.482 * [taylor]: Taking taylor expansion of (* a b) in b 5.482 * [taylor]: Taking taylor expansion of a in b 5.482 * [backup-simplify]: Simplify a into a 5.482 * [taylor]: Taking taylor expansion of b in b 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify (* a 0) into 0 5.482 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.482 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.483 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.483 * [taylor]: Taking taylor expansion of a in b 5.483 * [backup-simplify]: Simplify a into a 5.483 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.483 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.483 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.483 * [taylor]: Taking taylor expansion of b in a 5.483 * [backup-simplify]: Simplify b into b 5.483 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.483 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.483 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.483 * [taylor]: Taking taylor expansion of 2 in a 5.483 * [backup-simplify]: Simplify 2 into 2 5.483 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.483 * [taylor]: Taking taylor expansion of (* a b) in a 5.484 * [taylor]: Taking taylor expansion of a in a 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.484 * [taylor]: Taking taylor expansion of b in a 5.484 * [backup-simplify]: Simplify b into b 5.484 * [backup-simplify]: Simplify (* 0 b) into 0 5.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.484 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.484 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.484 * [taylor]: Taking taylor expansion of a in a 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (* 1 1) into 1 5.485 * [backup-simplify]: Simplify (/ 1 1) into 1 5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.485 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.485 * [taylor]: Taking taylor expansion of b in a 5.485 * [backup-simplify]: Simplify b into b 5.485 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.486 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.486 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.486 * [taylor]: Taking taylor expansion of 2 in a 5.486 * [backup-simplify]: Simplify 2 into 2 5.486 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.486 * [taylor]: Taking taylor expansion of (* a b) in a 5.486 * [taylor]: Taking taylor expansion of a in a 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.486 * [taylor]: Taking taylor expansion of b in a 5.486 * [backup-simplify]: Simplify b into b 5.486 * [backup-simplify]: Simplify (* 0 b) into 0 5.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.486 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.487 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.487 * [taylor]: Taking taylor expansion of a in a 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (* 1 1) into 1 5.487 * [backup-simplify]: Simplify (/ 1 1) into 1 5.488 * [backup-simplify]: Simplify (+ 0 1) into 1 5.488 * [backup-simplify]: Simplify (+ 0 1) into 1 5.488 * [taylor]: Taking taylor expansion of 1 in b 5.488 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.490 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.490 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.490 * [taylor]: Taking taylor expansion of 2 in b 5.490 * [backup-simplify]: Simplify 2 into 2 5.490 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.490 * [taylor]: Taking taylor expansion of b in b 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.495 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.495 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.495 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.495 * [taylor]: Taking taylor expansion of b in b 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [backup-simplify]: Simplify (* 1 1) into 1 5.496 * [backup-simplify]: Simplify (/ 1 1) into 1 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [backup-simplify]: Simplify (* 2 1) into 2 5.496 * [backup-simplify]: Simplify 2 into 2 5.496 * [backup-simplify]: Simplify 1 into 1 5.497 * [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))) 5.497 * * * [progress]: simplifying candidates 5.498 * [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))) 5.500 * * [simplify]: Extracting # 0 : cost 0 5.500 * * [simplify]: Extracting # 1 : cost 0 5.500 * * [simplify]: Extracting # 2 : cost 0 5.500 * * [simplify]: Extracting # 3 : cost 0 5.500 * * [simplify]: Extracting # 4 : cost 0 5.500 * * [simplify]: Extracting # 5 : cost 0 5.501 * * [simplify]: Extracting # 6 : cost 0 5.501 * * [simplify]: Extracting # 7 : cost 0 5.501 * * [simplify]: iteration 0 : 57 enodes (cost 483 ) 5.524 * * [simplify]: Extracting # 0 : cost 0 5.525 * * [simplify]: Extracting # 1 : cost 0 5.525 * * [simplify]: Extracting # 2 : cost 0 5.525 * * [simplify]: Extracting # 3 : cost 0 5.525 * * [simplify]: Extracting # 4 : cost 0 5.526 * * [simplify]: Extracting # 5 : cost 0 5.526 * * [simplify]: iteration 1 : 192 enodes (cost 419 ) 5.632 * * [simplify]: Extracting # 0 : cost 0 5.633 * * [simplify]: Extracting # 1 : cost 0 5.634 * * [simplify]: Extracting # 2 : cost 0 5.634 * * [simplify]: Extracting # 3 : cost 0 5.635 * * [simplify]: Extracting # 4 : cost 0 5.636 * * [simplify]: iteration 2 : 768 enodes (cost 375 ) 6.396 * * [simplify]: Extracting # 0 : cost 0 6.400 * * [simplify]: Extracting # 1 : cost 0 6.407 * * [simplify]: Extracting # 2 : cost 0 6.410 * * [simplify]: Extracting # 3 : cost 0 6.413 * * [simplify]: Extracting # 4 : cost 0 6.417 * * [simplify]: iteration 3 : 3429 enodes (cost 373 ) 8.000 * * [simplify]: Extracting # 0 : cost 0 8.010 * * [simplify]: Extracting # 1 : cost 0 8.019 * * [simplify]: Extracting # 2 : cost 0 8.025 * * [simplify]: Extracting # 3 : cost 0 8.030 * * [simplify]: Extracting # 4 : cost 0 8.035 * * [simplify]: iteration done: 5001 enodes (cost 373 ) 8.036 * [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))) 8.036 * * * [progress]: adding candidates to table 8.102 * [progress]: [Phase 3 of 3] Extracting. 8.104 * [simplify]: Simplifying: (+ (* (* 2 a) b) (+ (* b b) (* a a))) 8.104 * * [simplify]: Extracting # 0 : cost 0 8.104 * * [simplify]: Extracting # 1 : cost 0 8.104 * * [simplify]: Extracting # 2 : cost 0 8.104 * * [simplify]: Extracting # 3 : cost 0 8.104 * * [simplify]: Extracting # 4 : cost 0 8.104 * * [simplify]: Extracting # 5 : cost 0 8.104 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 8.105 * * [simplify]: Extracting # 0 : cost 0 8.105 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 8.105 * * [simplify]: Extracting # 0 : cost 0 8.105 * * [simplify]: iteration done: 13 enodes (cost 13 ) 8.105 * [simplify]: Simplified to: (+ (* (* 2 a) b) (+ (* b b) (* a a))) 8.878 * [regime-testing]: End program error score: 0.0133766720840105 8.895 * [regime-testing]: Target error score: 0.011501437679709963