33.088 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: Extracting # 3 : cost 0 0.037 * * [simplify]: Extracting # 4 : cost 0 0.037 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.043 * * [simplify]: Extracting # 2 : cost 0 0.043 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.072 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.105 * * [simplify]: Extracting # 0 : cost 0 0.105 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.125 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.142 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.142 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.191 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.191 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.191 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.191 * [taylor]: Taking taylor expansion of (+ a b) in b 0.191 * [taylor]: Taking taylor expansion of a in b 0.191 * [backup-simplify]: Simplify a into a 0.191 * [taylor]: Taking taylor expansion of b in b 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ a 0) into a 0.191 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.191 * [taylor]: Taking taylor expansion of (+ a b) in a 0.191 * [taylor]: Taking taylor expansion of a in a 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of b in a 0.191 * [backup-simplify]: Simplify b into b 0.191 * [backup-simplify]: Simplify (+ 0 b) into b 0.191 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.191 * [taylor]: Taking taylor expansion of (+ a b) in a 0.191 * [taylor]: Taking taylor expansion of a in a 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of b in a 0.191 * [backup-simplify]: Simplify b into b 0.191 * [backup-simplify]: Simplify (+ 0 b) into b 0.191 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.191 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.191 * [taylor]: Taking taylor expansion of b in b 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.192 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.192 * [taylor]: Taking taylor expansion of 2 in b 0.192 * [backup-simplify]: Simplify 2 into 2 0.192 * [taylor]: Taking taylor expansion of b in b 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 2 0) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.193 * [taylor]: Taking taylor expansion of 1 in b 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.193 * [backup-simplify]: Simplify 2 into 2 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [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))) 0.194 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.194 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.194 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.194 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.194 * [taylor]: Taking taylor expansion of b in b 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.195 * [taylor]: Taking taylor expansion of a in b 0.195 * [backup-simplify]: Simplify a into a 0.195 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.195 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.195 * [taylor]: Taking taylor expansion of b in a 0.195 * [backup-simplify]: Simplify b into b 0.195 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.195 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.195 * [taylor]: Taking taylor expansion of a in a 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.196 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.196 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.196 * [taylor]: Taking taylor expansion of b in a 0.196 * [backup-simplify]: Simplify b into b 0.196 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.196 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.196 * [taylor]: Taking taylor expansion of a in a 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1 in b 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.197 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.197 * [taylor]: Taking taylor expansion of 2 in b 0.197 * [backup-simplify]: Simplify 2 into 2 0.197 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.197 * [taylor]: Taking taylor expansion of b in b 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.199 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.199 * [taylor]: Taking taylor expansion of b in b 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 2 1) into 2 0.200 * [backup-simplify]: Simplify 2 into 2 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [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))) 0.201 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.201 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.201 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.201 * [taylor]: Taking taylor expansion of b in b 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.201 * [taylor]: Taking taylor expansion of a in b 0.201 * [backup-simplify]: Simplify a into a 0.201 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.202 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.202 * [taylor]: Taking taylor expansion of b in a 0.202 * [backup-simplify]: Simplify b into b 0.202 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.202 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.202 * [taylor]: Taking taylor expansion of a in a 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.202 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.202 * [taylor]: Taking taylor expansion of b in a 0.202 * [backup-simplify]: Simplify b into b 0.202 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.202 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.202 * [taylor]: Taking taylor expansion of a in a 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1 in b 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.204 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.204 * [taylor]: Taking taylor expansion of 2 in b 0.204 * [backup-simplify]: Simplify 2 into 2 0.204 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.204 * [taylor]: Taking taylor expansion of b in b 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 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 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 2 1) into 2 0.206 * [backup-simplify]: Simplify 2 into 2 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [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))) 0.207 * * * [progress]: simplifying candidates 0.208 * [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))) 0.209 * * [simplify]: Extracting # 0 : cost 0 0.209 * * [simplify]: Extracting # 1 : cost 0 0.209 * * [simplify]: Extracting # 2 : cost 0 0.209 * * [simplify]: Extracting # 3 : cost 0 0.209 * * [simplify]: Extracting # 4 : cost 0 0.209 * * [simplify]: Extracting # 5 : cost 0 0.209 * * [simplify]: Extracting # 6 : cost 0 0.209 * * [simplify]: Extracting # 7 : cost 0 0.209 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.234 * * [simplify]: Extracting # 0 : cost 0 0.234 * * [simplify]: Extracting # 1 : cost 0 0.234 * * [simplify]: Extracting # 2 : cost 0 0.235 * * [simplify]: Extracting # 3 : cost 0 0.235 * * [simplify]: Extracting # 4 : cost 0 0.235 * * [simplify]: iteration 1 : 188 enodes (cost 453 ) 0.323 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: Extracting # 1 : cost 0 0.325 * * [simplify]: Extracting # 2 : cost 0 0.326 * * [simplify]: Extracting # 3 : cost 0 0.327 * * [simplify]: Extracting # 4 : cost 0 0.328 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.116 * * [simplify]: Extracting # 0 : cost 0 1.120 * * [simplify]: Extracting # 1 : cost 0 1.123 * * [simplify]: Extracting # 2 : cost 0 1.127 * * [simplify]: Extracting # 3 : cost 0 1.130 * * [simplify]: Extracting # 4 : cost 0 1.133 * * [simplify]: Extracting # 5 : cost 0 1.136 * * [simplify]: iteration 3 : 3324 enodes (cost 376 ) 2.534 * * [simplify]: Extracting # 0 : cost 0 2.539 * * [simplify]: Extracting # 1 : cost 0 2.545 * * [simplify]: Extracting # 2 : cost 0 2.549 * * [simplify]: Extracting # 3 : cost 0 2.554 * * [simplify]: Extracting # 4 : cost 0 2.559 * * [simplify]: iteration done: 5001 enodes (cost 373 ) 2.559 * [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)) 2.560 * * * [progress]: adding candidates to table 2.627 * * [progress]: iteration 2 / 4 2.627 * * * [progress]: picking best candidate 2.630 * * * * [pick]: Picked # 2.630 * * * [progress]: localizing error 2.640 * * * [progress]: generating rewritten candidates 2.640 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.661 * [backup-simplify]: Simplify (+ (* (+ a b) a) (* (+ a b) b)) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 2.661 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 2.661 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 2.661 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.661 * [taylor]: Taking taylor expansion of a in b 2.661 * [backup-simplify]: Simplify a into a 2.661 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 2.661 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.661 * [taylor]: Taking taylor expansion of 2 in b 2.661 * [backup-simplify]: Simplify 2 into 2 2.661 * [taylor]: Taking taylor expansion of (* a b) in b 2.661 * [taylor]: Taking taylor expansion of a in b 2.661 * [backup-simplify]: Simplify a into a 2.661 * [taylor]: Taking taylor expansion of b in b 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.661 * [taylor]: Taking taylor expansion of b in b 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.661 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.661 * [taylor]: Taking taylor expansion of a in a 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.661 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.661 * [taylor]: Taking taylor expansion of 2 in a 2.661 * [backup-simplify]: Simplify 2 into 2 2.661 * [taylor]: Taking taylor expansion of (* a b) in a 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of b in a 2.662 * [backup-simplify]: Simplify b into b 2.662 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.662 * [taylor]: Taking taylor expansion of b in a 2.662 * [backup-simplify]: Simplify b into b 2.662 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 2.662 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 2.662 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.662 * [taylor]: Taking taylor expansion of 2 in a 2.662 * [backup-simplify]: Simplify 2 into 2 2.662 * [taylor]: Taking taylor expansion of (* a b) in a 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [taylor]: Taking taylor expansion of b in a 2.662 * [backup-simplify]: Simplify b into b 2.662 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.662 * [taylor]: Taking taylor expansion of b in a 2.662 * [backup-simplify]: Simplify b into b 2.662 * [backup-simplify]: Simplify (* 0 b) into 0 2.663 * [backup-simplify]: Simplify (* 2 0) into 0 2.663 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.663 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 2.664 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 2.664 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.664 * [taylor]: Taking taylor expansion of b in b 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.665 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 2.665 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 2.665 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 2.665 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 2.665 * [taylor]: Taking taylor expansion of (* 2 b) in b 2.665 * [taylor]: Taking taylor expansion of 2 in b 2.665 * [backup-simplify]: Simplify 2 into 2 2.665 * [taylor]: Taking taylor expansion of b in b 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (* 2 0) into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 2.668 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 2.668 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (+ 1 0) into 1 2.668 * [taylor]: Taking taylor expansion of 1 in b 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.669 * [backup-simplify]: Simplify 2 into 2 2.669 * [backup-simplify]: Simplify (* 1 1) into 1 2.669 * [backup-simplify]: Simplify 1 into 1 2.670 * [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))) 2.670 * [backup-simplify]: Simplify (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (+ (/ 1 a) (/ 1 b)) (/ 1 b))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.670 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.671 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.671 * [taylor]: Taking taylor expansion of b in b 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (* 1 1) into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.671 * [taylor]: Taking taylor expansion of 2 in b 2.671 * [backup-simplify]: Simplify 2 into 2 2.671 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.671 * [taylor]: Taking taylor expansion of (* a b) in b 2.672 * [taylor]: Taking taylor expansion of a in b 2.672 * [backup-simplify]: Simplify a into a 2.672 * [taylor]: Taking taylor expansion of b in b 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (* a 0) into 0 2.672 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.672 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.672 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.672 * [taylor]: Taking taylor expansion of a in b 2.672 * [backup-simplify]: Simplify a into a 2.672 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.672 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.673 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.673 * [taylor]: Taking taylor expansion of b in a 2.673 * [backup-simplify]: Simplify b into b 2.673 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.673 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.673 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.673 * [taylor]: Taking taylor expansion of 2 in a 2.673 * [backup-simplify]: Simplify 2 into 2 2.673 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.673 * [taylor]: Taking taylor expansion of (* a b) in a 2.673 * [taylor]: Taking taylor expansion of a in a 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [taylor]: Taking taylor expansion of b in a 2.673 * [backup-simplify]: Simplify b into b 2.673 * [backup-simplify]: Simplify (* 0 b) into 0 2.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.674 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.674 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.674 * [taylor]: Taking taylor expansion of a in a 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.675 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.675 * [taylor]: Taking taylor expansion of b in a 2.675 * [backup-simplify]: Simplify b into b 2.675 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.675 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.675 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.675 * [taylor]: Taking taylor expansion of 2 in a 2.675 * [backup-simplify]: Simplify 2 into 2 2.675 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.675 * [taylor]: Taking taylor expansion of (* a b) in a 2.675 * [taylor]: Taking taylor expansion of a in a 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [taylor]: Taking taylor expansion of b in a 2.675 * [backup-simplify]: Simplify b into b 2.675 * [backup-simplify]: Simplify (* 0 b) into 0 2.675 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.676 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.676 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.676 * [taylor]: Taking taylor expansion of a in a 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (* 1 1) into 1 2.676 * [backup-simplify]: Simplify (/ 1 1) into 1 2.677 * [backup-simplify]: Simplify (+ 0 1) into 1 2.677 * [backup-simplify]: Simplify (+ 0 1) into 1 2.677 * [taylor]: Taking taylor expansion of 1 in b 2.677 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 2.679 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 2.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 2.679 * [taylor]: Taking taylor expansion of 2 in b 2.679 * [backup-simplify]: Simplify 2 into 2 2.679 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.679 * [taylor]: Taking taylor expansion of b in b 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 2.683 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.683 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.683 * [taylor]: Taking taylor expansion of b in b 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (* 1 1) into 1 2.684 * [backup-simplify]: Simplify (/ 1 1) into 1 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (* 2 1) into 2 2.684 * [backup-simplify]: Simplify 2 into 2 2.684 * [backup-simplify]: Simplify 1 into 1 2.685 * [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))) 2.685 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- b)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 2.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.686 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.686 * [taylor]: Taking taylor expansion of b in b 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (* 1 1) into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 2.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.686 * [taylor]: Taking taylor expansion of 2 in b 2.686 * [backup-simplify]: Simplify 2 into 2 2.686 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.687 * [taylor]: Taking taylor expansion of (* a b) in b 2.687 * [taylor]: Taking taylor expansion of a in b 2.687 * [backup-simplify]: Simplify a into a 2.687 * [taylor]: Taking taylor expansion of b in b 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (* a 0) into 0 2.687 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.687 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.687 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.687 * [taylor]: Taking taylor expansion of a in b 2.687 * [backup-simplify]: Simplify a into a 2.687 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.687 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.688 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.688 * [taylor]: Taking taylor expansion of b in a 2.688 * [backup-simplify]: Simplify b into b 2.688 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.688 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.688 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.688 * [taylor]: Taking taylor expansion of 2 in a 2.688 * [backup-simplify]: Simplify 2 into 2 2.688 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.688 * [taylor]: Taking taylor expansion of (* a b) in a 2.688 * [taylor]: Taking taylor expansion of a in a 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of b in a 2.688 * [backup-simplify]: Simplify b into b 2.688 * [backup-simplify]: Simplify (* 0 b) into 0 2.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.689 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.689 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.689 * [taylor]: Taking taylor expansion of a in a 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (* 1 1) into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 2.690 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.690 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.690 * [taylor]: Taking taylor expansion of b in a 2.690 * [backup-simplify]: Simplify b into b 2.690 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.690 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.690 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 2.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.690 * [taylor]: Taking taylor expansion of 2 in a 2.690 * [backup-simplify]: Simplify 2 into 2 2.690 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.690 * [taylor]: Taking taylor expansion of (* a b) in a 2.690 * [taylor]: Taking taylor expansion of a in a 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of b in a 2.690 * [backup-simplify]: Simplify b into b 2.690 * [backup-simplify]: Simplify (* 0 b) into 0 2.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.691 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.691 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.691 * [taylor]: Taking taylor expansion of a in a 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (* 1 1) into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (+ 0 1) into 1 2.692 * [backup-simplify]: Simplify (+ 0 1) into 1 2.692 * [taylor]: Taking taylor expansion of 1 in b 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 2.694 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 2.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 2.694 * [taylor]: Taking taylor expansion of 2 in b 2.694 * [backup-simplify]: Simplify 2 into 2 2.694 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.694 * [taylor]: Taking taylor expansion of b in b 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (/ 1 1) into 1 2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.698 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.698 * [taylor]: Taking taylor expansion of b in b 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (/ 1 1) into 1 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 2 1) into 2 2.699 * [backup-simplify]: Simplify 2 into 2 2.699 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (+ (* 1 (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))) 2.700 * * * [progress]: simplifying candidates 2.701 * [simplify]: Simplifying: (* (exp (* (+ a b) a)) (exp (* (+ a b) b))) (log (+ (* (+ a b) a) (* (+ a b) b))) (exp (+ (* (+ a b) a) (* (+ a b) b))) (* (cbrt (+ (* (+ a b) a) (* (+ a b) b))) (cbrt (+ (* (+ a b) a) (* (+ a b) b)))) (cbrt (+ (* (+ a b) a) (* (+ a b) b))) (* (* (+ (* (+ a b) a) (* (+ a b) b)) (+ (* (+ a b) a) (* (+ a b) b))) (+ (* (+ a b) a) (* (+ a b) b))) (sqrt (+ (* (+ a b) a) (* (+ a b) b))) (sqrt (+ (* (+ a b) a) (* (+ a b) b))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* (+ (pow a 3) (pow b 3)) b))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* (- (* a a) (* b b)) b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (+ (* (* (- (* a a) (* b b)) a) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* (- (* a a) (* b b)) a) (- a b)) (* (- a b) (* (- (* a a) (* b b)) b))) (* (- a b) (- a b)) (+ (pow (* (+ a b) a) 3) (pow (* (+ a b) b) 3)) (+ (* (* (+ a b) a) (* (+ a b) a)) (- (* (* (+ a b) b) (* (+ a b) b)) (* (* (+ a b) a) (* (+ a b) b)))) (- (* (* (+ a b) a) (* (+ a b) a)) (* (* (+ a b) b) (* (+ a b) b))) (- (* (+ 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))) 2.702 * * [simplify]: Extracting # 0 : cost 0 2.702 * * [simplify]: Extracting # 1 : cost 0 2.702 * * [simplify]: Extracting # 2 : cost 0 2.703 * * [simplify]: Extracting # 3 : cost 0 2.703 * * [simplify]: Extracting # 4 : cost 0 2.703 * * [simplify]: Extracting # 5 : cost 0 2.703 * * [simplify]: Extracting # 6 : cost 0 2.703 * * [simplify]: Extracting # 7 : cost 0 2.703 * * [simplify]: iteration 0 : 63 enodes (cost 459 ) 2.728 * * [simplify]: Extracting # 0 : cost 0 2.729 * * [simplify]: Extracting # 1 : cost 0 2.730 * * [simplify]: Extracting # 2 : cost 0 2.731 * * [simplify]: Extracting # 3 : cost 0 2.731 * * [simplify]: Extracting # 4 : cost 0 2.732 * * [simplify]: Extracting # 5 : cost 0 2.732 * * [simplify]: iteration 1 : 214 enodes (cost 380 ) 2.876 * * [simplify]: Extracting # 0 : cost 0 2.877 * * [simplify]: Extracting # 1 : cost 0 2.878 * * [simplify]: Extracting # 2 : cost 0 2.878 * * [simplify]: Extracting # 3 : cost 0 2.879 * * [simplify]: Extracting # 4 : cost 0 2.880 * * [simplify]: iteration 2 : 819 enodes (cost 326 ) 3.551 * * [simplify]: Extracting # 0 : cost 0 3.555 * * [simplify]: Extracting # 1 : cost 0 3.566 * * [simplify]: Extracting # 2 : cost 0 3.570 * * [simplify]: Extracting # 3 : cost 0 3.574 * * [simplify]: Extracting # 4 : cost 0 3.581 * * [simplify]: iteration 3 : 3904 enodes (cost 300 ) 4.932 * * [simplify]: Extracting # 0 : cost 0 4.938 * * [simplify]: Extracting # 1 : cost 0 4.948 * * [simplify]: Extracting # 2 : cost 0 4.958 * * [simplify]: Extracting # 3 : cost 0 4.966 * * [simplify]: Extracting # 4 : cost 0 4.971 * * [simplify]: Extracting # 5 : cost 0 4.980 * * [simplify]: iteration done: 5000 enodes (cost 300 ) 4.980 * [simplify]: Simplified to: (exp (* (+ a b) (+ a b))) (* 2 (log (+ a b))) (exp (* (+ a b) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (pow (+ a b) 6) (fabs (+ a b)) (fabs (+ a b)) (* (+ (pow a 3) (pow b 3)) (* (+ (* a a) (* b (- b a))) (+ a b))) (* (+ (* a a) (* b (- b a))) (+ (* a a) (* b (- b a)))) (+ (* (* (+ (pow a 3) (pow b 3)) a) (- a b)) (* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) b))) (* (- a b) (+ (* a a) (* b (- b a)))) (+ (* (+ (* a a) (* b (- b a))) (* (- (* a a) (* b b)) a)) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (+ (* a a) (* b (- b a)))) (* (* (+ a b) (- (pow a 2) (pow b 2))) (- a b)) (* (- a b) (- a b)) (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a)))) (* (pow (+ a b) 3) (- a b)) (- (pow a 2) (pow b 2)) (+ a b) (+ (* a a) (* b (+ b (* 2 a)))) (+ (* a a) (* b (+ b (* 2 a)))) (+ (* a a) (* b (+ b (* 2 a)))) 4.980 * * * [progress]: adding candidates to table 5.050 * * [progress]: iteration 3 / 4 5.050 * * * [progress]: picking best candidate 5.051 * * * * [pick]: Picked # 5.051 * * * [progress]: localizing error 5.063 * * * [progress]: generating rewritten candidates 5.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.074 * * * [progress]: generating series expansions 5.074 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.074 * [backup-simplify]: Simplify (+ (* a a) (* b (+ b (* 2 a)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 5.074 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 5.074 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 5.074 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.074 * [taylor]: Taking taylor expansion of a in b 5.075 * [backup-simplify]: Simplify a into a 5.075 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 5.075 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 5.075 * [taylor]: Taking taylor expansion of 2 in b 5.075 * [backup-simplify]: Simplify 2 into 2 5.075 * [taylor]: Taking taylor expansion of (* a b) in b 5.075 * [taylor]: Taking taylor expansion of a in b 5.075 * [backup-simplify]: Simplify a into a 5.075 * [taylor]: Taking taylor expansion of b in b 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.075 * [taylor]: Taking taylor expansion of b in b 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.075 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.075 * [taylor]: Taking taylor expansion of a in a 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.075 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.075 * [taylor]: Taking taylor expansion of 2 in a 5.075 * [backup-simplify]: Simplify 2 into 2 5.075 * [taylor]: Taking taylor expansion of (* a b) in a 5.075 * [taylor]: Taking taylor expansion of a in a 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [taylor]: Taking taylor expansion of b in a 5.075 * [backup-simplify]: Simplify b into b 5.075 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.075 * [taylor]: Taking taylor expansion of b in a 5.075 * [backup-simplify]: Simplify b into b 5.075 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 5.076 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.076 * [taylor]: Taking taylor expansion of a in a 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 5.076 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 5.076 * [taylor]: Taking taylor expansion of 2 in a 5.076 * [backup-simplify]: Simplify 2 into 2 5.076 * [taylor]: Taking taylor expansion of (* a b) in a 5.076 * [taylor]: Taking taylor expansion of a in a 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [taylor]: Taking taylor expansion of b in a 5.076 * [backup-simplify]: Simplify b into b 5.076 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.076 * [taylor]: Taking taylor expansion of b in a 5.076 * [backup-simplify]: Simplify b into b 5.076 * [backup-simplify]: Simplify (* 0 b) into 0 5.077 * [backup-simplify]: Simplify (* 2 0) into 0 5.077 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.077 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.077 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 5.077 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.077 * [taylor]: Taking taylor expansion of b in b 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.078 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 5.078 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 5.079 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 5.079 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 5.079 * [taylor]: Taking taylor expansion of (* 2 b) in b 5.079 * [taylor]: Taking taylor expansion of 2 in b 5.079 * [backup-simplify]: Simplify 2 into 2 5.079 * [taylor]: Taking taylor expansion of b in b 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* 2 0) into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify (* 1 1) into 1 5.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 5.082 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (+ 1 0) into 1 5.083 * [taylor]: Taking taylor expansion of 1 in b 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.083 * [backup-simplify]: Simplify 2 into 2 5.084 * [backup-simplify]: Simplify (* 1 1) into 1 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [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))) 5.085 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 b) (* 2 (/ 1 a))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 5.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.085 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.085 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.085 * [taylor]: Taking taylor expansion of b in b 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (* 1 1) into 1 5.086 * [backup-simplify]: Simplify (/ 1 1) into 1 5.086 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.086 * [taylor]: Taking taylor expansion of 2 in b 5.086 * [backup-simplify]: Simplify 2 into 2 5.086 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.086 * [taylor]: Taking taylor expansion of (* a b) in b 5.086 * [taylor]: Taking taylor expansion of a in b 5.086 * [backup-simplify]: Simplify a into a 5.086 * [taylor]: Taking taylor expansion of b in b 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (* a 0) into 0 5.087 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.087 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.087 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.087 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.087 * [taylor]: Taking taylor expansion of a in b 5.087 * [backup-simplify]: Simplify a into a 5.087 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.087 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.087 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.087 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.087 * [taylor]: Taking taylor expansion of b in a 5.087 * [backup-simplify]: Simplify b into b 5.087 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.088 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.088 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.088 * [taylor]: Taking taylor expansion of 2 in a 5.088 * [backup-simplify]: Simplify 2 into 2 5.088 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.088 * [taylor]: Taking taylor expansion of (* a b) in a 5.088 * [taylor]: Taking taylor expansion of a in a 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [taylor]: Taking taylor expansion of b in a 5.088 * [backup-simplify]: Simplify b into b 5.088 * [backup-simplify]: Simplify (* 0 b) into 0 5.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.089 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.089 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.089 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.089 * [taylor]: Taking taylor expansion of a in a 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (* 1 1) into 1 5.090 * [backup-simplify]: Simplify (/ 1 1) into 1 5.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.090 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.090 * [taylor]: Taking taylor expansion of b in a 5.090 * [backup-simplify]: Simplify b into b 5.090 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.090 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.090 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.090 * [taylor]: Taking taylor expansion of 2 in a 5.090 * [backup-simplify]: Simplify 2 into 2 5.090 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.090 * [taylor]: Taking taylor expansion of (* a b) in a 5.090 * [taylor]: Taking taylor expansion of a in a 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 1 into 1 5.090 * [taylor]: Taking taylor expansion of b in a 5.090 * [backup-simplify]: Simplify b into b 5.090 * [backup-simplify]: Simplify (* 0 b) into 0 5.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.091 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.091 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.091 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.091 * [taylor]: Taking taylor expansion of a in a 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (/ 1 1) into 1 5.092 * [backup-simplify]: Simplify (+ 0 1) into 1 5.093 * [backup-simplify]: Simplify (+ 0 1) into 1 5.093 * [taylor]: Taking taylor expansion of 1 in b 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.095 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.095 * [taylor]: Taking taylor expansion of 2 in b 5.095 * [backup-simplify]: Simplify 2 into 2 5.095 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.095 * [taylor]: Taking taylor expansion of b in b 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (+ 0 0) into 0 5.099 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.099 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.099 * [taylor]: Taking taylor expansion of b in b 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (/ 1 1) into 1 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (* 2 1) into 2 5.101 * [backup-simplify]: Simplify 2 into 2 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [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))) 5.102 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (+ (/ 1 (- b)) (* 2 (/ 1 (- a)))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 5.102 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.102 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.102 * [taylor]: Taking taylor expansion of b in b 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 5.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 5.103 * [taylor]: Taking taylor expansion of 2 in b 5.103 * [backup-simplify]: Simplify 2 into 2 5.103 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 5.103 * [taylor]: Taking taylor expansion of (* a b) in b 5.103 * [taylor]: Taking taylor expansion of a in b 5.103 * [backup-simplify]: Simplify a into a 5.103 * [taylor]: Taking taylor expansion of b in b 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (* a 0) into 0 5.104 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 5.104 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.104 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 5.104 * [taylor]: Taking taylor expansion of (pow a 2) in b 5.104 * [taylor]: Taking taylor expansion of a in b 5.104 * [backup-simplify]: Simplify a into a 5.104 * [backup-simplify]: Simplify (* a a) into (pow a 2) 5.104 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 5.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.104 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.104 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.104 * [taylor]: Taking taylor expansion of b in a 5.104 * [backup-simplify]: Simplify b into b 5.104 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.105 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.105 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.105 * [taylor]: Taking taylor expansion of 2 in a 5.105 * [backup-simplify]: Simplify 2 into 2 5.105 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.105 * [taylor]: Taking taylor expansion of (* a b) in a 5.105 * [taylor]: Taking taylor expansion of a in a 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [taylor]: Taking taylor expansion of b in a 5.105 * [backup-simplify]: Simplify b into b 5.105 * [backup-simplify]: Simplify (* 0 b) into 0 5.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.105 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.106 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.106 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.106 * [taylor]: Taking taylor expansion of a in a 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (* 1 1) into 1 5.106 * [backup-simplify]: Simplify (/ 1 1) into 1 5.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 5.106 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 5.106 * [taylor]: Taking taylor expansion of (pow b 2) in a 5.107 * [taylor]: Taking taylor expansion of b in a 5.107 * [backup-simplify]: Simplify b into b 5.107 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.107 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 5.107 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 5.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 5.107 * [taylor]: Taking taylor expansion of 2 in a 5.107 * [backup-simplify]: Simplify 2 into 2 5.107 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 5.107 * [taylor]: Taking taylor expansion of (* a b) in a 5.107 * [taylor]: Taking taylor expansion of a in a 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [taylor]: Taking taylor expansion of b in a 5.107 * [backup-simplify]: Simplify b into b 5.107 * [backup-simplify]: Simplify (* 0 b) into 0 5.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 5.108 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.108 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.108 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.108 * [taylor]: Taking taylor expansion of a in a 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [backup-simplify]: Simplify (* 1 1) into 1 5.109 * [backup-simplify]: Simplify (/ 1 1) into 1 5.109 * [backup-simplify]: Simplify (+ 0 1) into 1 5.109 * [backup-simplify]: Simplify (+ 0 1) into 1 5.110 * [taylor]: Taking taylor expansion of 1 in b 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 5.111 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 5.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 5.111 * [taylor]: Taking taylor expansion of 2 in b 5.111 * [backup-simplify]: Simplify 2 into 2 5.111 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.111 * [taylor]: Taking taylor expansion of b in b 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (/ 1 1) into 1 5.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 5.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 5.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 5.116 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 5.116 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.116 * [taylor]: Taking taylor expansion of b in b 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (* 1 1) into 1 5.117 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 2 1) into 2 5.118 * [backup-simplify]: Simplify 2 into 2 5.118 * [backup-simplify]: Simplify 1 into 1 5.119 * [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))) 5.119 * * * [progress]: simplifying candidates 5.119 * [simplify]: Simplifying: (* (exp (* a a)) (exp (* b (+ b (* 2 a))))) (log (+ (* a a) (* b (+ b (* 2 a))))) (exp (+ (* a a) (* b (+ b (* 2 a))))) (* (cbrt (+ (* a a) (* b (+ b (* 2 a))))) (cbrt (+ (* a a) (* b (+ b (* 2 a)))))) (cbrt (+ (* a a) (* b (+ b (* 2 a))))) (* (* (+ (* a a) (* b (+ b (* 2 a)))) (+ (* a a) (* b (+ b (* 2 a))))) (+ (* a a) (* b (+ b (* 2 a))))) (sqrt (+ (* a a) (* b (+ b (* 2 a))))) (sqrt (+ (* a a) (* b (+ b (* 2 a))))) (+ (pow (* a a) 3) (pow (* b (+ b (* 2 a))) 3)) (+ (* (* a a) (* a a)) (- (* (* b (+ b (* 2 a))) (* b (+ b (* 2 a)))) (* (* a a) (* b (+ b (* 2 a)))))) (- (* (* a a) (* a a)) (* (* b (+ b (* 2 a))) (* b (+ b (* 2 a))))) (- (* a a) (* b (+ b (* 2 a)))) (+ (* a a) (* b b)) (+ (* a a) (* b 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))) 5.120 * * [simplify]: Extracting # 0 : cost 0 5.120 * * [simplify]: Extracting # 1 : cost 0 5.120 * * [simplify]: Extracting # 2 : cost 0 5.121 * * [simplify]: Extracting # 3 : cost 0 5.121 * * [simplify]: Extracting # 4 : cost 0 5.121 * * [simplify]: Extracting # 5 : cost 0 5.121 * * [simplify]: Extracting # 6 : cost 0 5.121 * * [simplify]: Extracting # 7 : cost 0 5.121 * * [simplify]: iteration 0 : 37 enodes (cost 270 ) 5.139 * * [simplify]: Extracting # 0 : cost 0 5.140 * * [simplify]: Extracting # 1 : cost 0 5.140 * * [simplify]: Extracting # 2 : cost 0 5.140 * * [simplify]: Extracting # 3 : cost 0 5.141 * * [simplify]: Extracting # 4 : cost 0 5.141 * * [simplify]: iteration 1 : 118 enodes (cost 255 ) 5.205 * * [simplify]: Extracting # 0 : cost 0 5.206 * * [simplify]: Extracting # 1 : cost 0 5.207 * * [simplify]: Extracting # 2 : cost 0 5.207 * * [simplify]: Extracting # 3 : cost 0 5.208 * * [simplify]: Extracting # 4 : cost 0 5.209 * * [simplify]: iteration 2 : 494 enodes (cost 223 ) 5.658 * * [simplify]: Extracting # 0 : cost 0 5.661 * * [simplify]: Extracting # 1 : cost 0 5.663 * * [simplify]: Extracting # 2 : cost 0 5.665 * * [simplify]: Extracting # 3 : cost 0 5.668 * * [simplify]: Extracting # 4 : cost 0 5.672 * * [simplify]: iteration 3 : 2556 enodes (cost 223 ) 6.657 * * [simplify]: Extracting # 0 : cost 0 6.663 * * [simplify]: Extracting # 1 : cost 0 6.668 * * [simplify]: Extracting # 2 : cost 0 6.677 * * [simplify]: Extracting # 3 : cost 0 6.687 * * [simplify]: Extracting # 4 : cost 0 6.697 * * [simplify]: iteration done: 5000 enodes (cost 223 ) 6.697 * [simplify]: Simplified to: (exp (+ (* a a) (* b (+ b (* 2 a))))) (log (+ (* a a) (* b (+ b (* 2 a))))) (exp (+ (* a a) (* b (+ b (* 2 a))))) (* (cbrt (+ (* a a) (* b (+ b (* 2 a))))) (cbrt (+ (* a a) (* b (+ b (* 2 a)))))) (cbrt (+ (* a a) (* b (+ b (* 2 a))))) (pow (+ (* b (+ b (* 2 a))) (pow a 2)) 3) (sqrt (+ (* a a) (* b (+ b (* 2 a))))) (sqrt (+ (* a a) (* b (+ b (* 2 a))))) (+ (pow (* b (+ b (* 2 a))) 3) (pow a 6)) (+ (pow a 4) (* (* (+ b (* 2 a)) b) (- (* (+ b (* 2 a)) b) (* a a)))) (- (pow a 4) (* (* b (+ b (* 2 a))) (* b (+ b (* 2 a))))) (- (* a a) (* b (+ b (* 2 a)))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (+ (* b (+ b (* 2 a))) (pow a 2)) (+ (* b (+ b (* 2 a))) (pow a 2)) (+ (* b (+ b (* 2 a))) (pow a 2)) 6.698 * * * [progress]: adding candidates to table 6.771 * [progress]: [Phase 3 of 3] Extracting. 6.771 * * [regime]: Finding splitpoints for: (# #) 6.771 * * * [regime-changes]: Trying 2 branch expressions: (b a) 6.771 * * * * [regimes]: Trying to branch on b from (# #) 6.789 * * * * [regimes]: Trying to branch on a from (# #) 6.812 * * * [regime]: Found split indices: #