20.277 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.027 * * [simplify]: iteration 0: 4 enodes 0.028 * * [simplify]: iteration 1: 11 enodes 0.031 * * [simplify]: iteration 2: 25 enodes 0.035 * * [simplify]: iteration 3: 53 enodes 0.043 * * [simplify]: iteration 4: 72 enodes 0.052 * * [simplify]: iteration 5: 88 enodes 0.063 * * [simplify]: iteration 6: 97 enodes 0.072 * * [simplify]: iteration 7: 103 enodes 0.081 * * [simplify]: iteration complete: 103 enodes 0.081 * * [simplify]: Extracting #0: cost 1 inf + 0 0.081 * * [simplify]: Extracting #1: cost 12 inf + 0 0.081 * * [simplify]: Extracting #2: cost 19 inf + 0 0.081 * * [simplify]: Extracting #3: cost 16 inf + 3 0.082 * * [simplify]: Extracting #4: cost 1 inf + 1149 0.082 * * [simplify]: Extracting #5: cost 0 inf + 1271 0.083 * [simplify]: Simplified to: (* (+ b a) (+ b a)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.125 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.125 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.125 * [taylor]: Taking taylor expansion of (+ a b) in b 0.125 * [taylor]: Taking taylor expansion of a in b 0.125 * [backup-simplify]: Simplify a into a 0.125 * [taylor]: Taking taylor expansion of b in b 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ a 0) into a 0.125 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.125 * [taylor]: Taking taylor expansion of (+ a b) in a 0.125 * [taylor]: Taking taylor expansion of a in a 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of b in a 0.125 * [backup-simplify]: Simplify b into b 0.125 * [backup-simplify]: Simplify (+ 0 b) into b 0.125 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.125 * [taylor]: Taking taylor expansion of (+ a b) in a 0.125 * [taylor]: Taking taylor expansion of a in a 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of b in a 0.125 * [backup-simplify]: Simplify b into b 0.125 * [backup-simplify]: Simplify (+ 0 b) into b 0.125 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.125 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.125 * [taylor]: Taking taylor expansion of b in b 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.126 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.126 * [taylor]: Taking taylor expansion of 2 in b 0.126 * [backup-simplify]: Simplify 2 into 2 0.126 * [taylor]: Taking taylor expansion of b in b 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 2 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.127 * [taylor]: Taking taylor expansion of 1 in b 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 0.128 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 a) (/ 1 b)) 2) 0.128 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in (a b) around 0 0.128 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in b 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 0.129 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.129 * [taylor]: Taking taylor expansion of a in b 0.129 * [backup-simplify]: Simplify a into a 0.129 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.129 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.129 * [taylor]: Taking taylor expansion of b in b 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in a 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 0.129 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.129 * [taylor]: Taking taylor expansion of a in a 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.130 * [taylor]: Taking taylor expansion of b in a 0.130 * [backup-simplify]: Simplify b into b 0.130 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in a 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 0.130 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.130 * [taylor]: Taking taylor expansion of a in a 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.130 * [taylor]: Taking taylor expansion of b in a 0.130 * [backup-simplify]: Simplify b into b 0.130 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of 1 in b 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 0.132 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.132 * [taylor]: Taking taylor expansion of 2 in b 0.132 * [backup-simplify]: Simplify 2 into 2 0.132 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.132 * [taylor]: Taking taylor expansion of b in b 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.133 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.133 * [taylor]: Taking taylor expansion of b in b 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 2 1) into 2 0.134 * [backup-simplify]: Simplify 2 into 2 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [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) (+ (pow b 2) (* 2 (* a b)))) 0.135 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 a) (/ 1 b)) 2) 0.135 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in (a b) around 0 0.135 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in b 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 0.135 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.135 * [taylor]: Taking taylor expansion of a in b 0.135 * [backup-simplify]: Simplify a into a 0.135 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.135 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.135 * [taylor]: Taking taylor expansion of b in b 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in a 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 0.136 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.136 * [taylor]: Taking taylor expansion of a in a 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.136 * [taylor]: Taking taylor expansion of b in a 0.136 * [backup-simplify]: Simplify b into b 0.136 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 a) (/ 1 b)) 2) in a 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 0.137 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.137 * [taylor]: Taking taylor expansion of a in a 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.137 * [taylor]: Taking taylor expansion of b in a 0.137 * [backup-simplify]: Simplify b into b 0.137 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in b 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 0.138 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.138 * [taylor]: Taking taylor expansion of 2 in b 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.138 * [taylor]: Taking taylor expansion of b in b 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.140 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.140 * [taylor]: Taking taylor expansion of b in b 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 2 1) into 2 0.141 * [backup-simplify]: Simplify 2 into 2 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [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) (+ (pow b 2) (* 2 (* a b)))) 0.141 * * * [progress]: simplifying candidates 0.142 * [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) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 0.143 * * [simplify]: iteration 0: 62 enodes 0.160 * * [simplify]: iteration 1: 224 enodes 0.243 * * [simplify]: iteration 2: 795 enodes 0.734 * * [simplify]: iteration 3: 3972 enodes 2.103 * * [simplify]: iteration complete: 5000 enodes 2.103 * * [simplify]: Extracting #0: cost 25 inf + 0 2.104 * * [simplify]: Extracting #1: cost 325 inf + 2 2.109 * * [simplify]: Extracting #2: cost 1197 inf + 3357 2.138 * * [simplify]: Extracting #3: cost 1014 inf + 97125 2.197 * * [simplify]: Extracting #4: cost 197 inf + 251345 2.271 * * [simplify]: Extracting #5: cost 51 inf + 286879 2.345 * * [simplify]: Extracting #6: cost 9 inf + 295625 2.419 * * [simplify]: Extracting #7: cost 0 inf + 297902 2.494 * [simplify]: Simplified to: 2 (* (+ b a) (+ b a)) 2 (+ (log (+ b a)) (log (+ b a))) (+ (log (+ b a)) (log (+ b a))) (exp (* (+ b a) (+ b a))) (* (* (+ b a) (* (+ b a) (+ b a))) (* (+ b a) (* (+ b a) (+ b a)))) (* (cbrt (* (+ b a) (+ b a))) (cbrt (* (+ b a) (+ b a)))) (cbrt (* (+ b a) (+ b a))) (* (* (+ b a) (* (+ b a) (+ b a))) (* (+ b a) (* (+ b a) (+ b a)))) (fabs (+ b a)) (fabs (+ b a)) (* (+ (* b (* b b)) (* (* a a) a)) (+ (* b (* b b)) (* (* a a) a))) (* (+ (* a a) (* (- b a) b)) (+ (* a a) (* (- b a) b))) (* (- (* a a) (* b b)) (+ (* b (* b b)) (* (* a a) a))) (* (+ (* a a) (* (- b a) b)) (- a b)) (* (- (* a a) (* b b)) (+ (* b (* b b)) (* (* a a) a))) (* (+ (* a a) (* (- b a) b)) (- a b)) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (+ b a) (cbrt (+ b a))) (* (cbrt (+ b a)) (cbrt (+ b a))) (+ b a) (+ b a) 1 (* (+ b a) (+ b a)) 1 (* (+ b a) (+ b a)) 1 (* (+ b a) (+ b a)) 1 (* (+ b a) (+ b a)) (+ b a) (+ b a) 2 (* a (+ b a)) (* b (+ b a)) (* a (+ b a)) (* b (+ b a)) (* (cbrt (+ b a)) (* (+ b a) (cbrt (+ b a)))) (* (+ b a) (sqrt (+ b a))) (+ b a) (+ b a) (* (+ b a) (cbrt (+ b a))) (* (+ b a) (sqrt (+ b a))) (* (+ b a) (+ b a)) (* (+ b a) (+ b a)) (* (+ (* b (* b b)) (* (* a a) a)) (+ a b)) (* (* (+ b a) (+ b a)) (- a b)) (* (+ (* b (* b b)) (* (* a a) a)) (+ a b)) (* (* (+ b a) (+ b a)) (- a b)) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) 2.496 * * * [progress]: adding candidates to table 2.634 * * [progress]: iteration 2 / 4 2.634 * * * [progress]: picking best candidate 2.644 * * * * [pick]: Picked # 2.644 * * * [progress]: localizing error 2.661 * * * [progress]: generating rewritten candidates 2.661 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.711 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.717 * * * [progress]: generating series expansions 2.717 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.718 * [backup-simplify]: Simplify (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) into (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 2.718 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in (b a) around 0 2.718 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in a 2.718 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.718 * [taylor]: Taking taylor expansion of a in a 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in a 2.718 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.718 * [taylor]: Taking taylor expansion of b in a 2.718 * [backup-simplify]: Simplify b into b 2.718 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 2.718 * [taylor]: Taking taylor expansion of 2 in a 2.718 * [backup-simplify]: Simplify 2 into 2 2.718 * [taylor]: Taking taylor expansion of (* a b) in a 2.718 * [taylor]: Taking taylor expansion of a in a 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of b in a 2.718 * [backup-simplify]: Simplify b into b 2.718 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in b 2.718 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.718 * [taylor]: Taking taylor expansion of a in b 2.718 * [backup-simplify]: Simplify a into a 2.718 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in b 2.718 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.718 * [taylor]: Taking taylor expansion of b in b 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.718 * [taylor]: Taking taylor expansion of 2 in b 2.718 * [backup-simplify]: Simplify 2 into 2 2.718 * [taylor]: Taking taylor expansion of (* a b) in b 2.718 * [taylor]: Taking taylor expansion of a in b 2.718 * [backup-simplify]: Simplify a into a 2.718 * [taylor]: Taking taylor expansion of b in b 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in b 2.718 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.718 * [taylor]: Taking taylor expansion of a in b 2.718 * [backup-simplify]: Simplify a into a 2.718 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in b 2.718 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.719 * [taylor]: Taking taylor expansion of b in b 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 2.719 * [taylor]: Taking taylor expansion of 2 in b 2.719 * [backup-simplify]: Simplify 2 into 2 2.719 * [taylor]: Taking taylor expansion of (* a b) in b 2.719 * [taylor]: Taking taylor expansion of a in b 2.719 * [backup-simplify]: Simplify a into a 2.719 * [taylor]: Taking taylor expansion of b in b 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.719 * [backup-simplify]: Simplify (* a 0) into 0 2.719 * [backup-simplify]: Simplify (* 2 0) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 2.720 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.720 * [taylor]: Taking taylor expansion of a in a 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.720 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.720 * [backup-simplify]: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) 2.720 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 2.720 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 2.720 * [taylor]: Taking taylor expansion of (* 2 a) in a 2.721 * [taylor]: Taking taylor expansion of 2 in a 2.721 * [backup-simplify]: Simplify 2 into 2 2.721 * [taylor]: Taking taylor expansion of a in a 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (* 2 0) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.721 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 a) (* 0 0))) into 0 2.723 * [backup-simplify]: Simplify (+ 1 0) into 1 2.723 * [backup-simplify]: Simplify (+ 0 1) into 1 2.723 * [taylor]: Taking taylor expansion of 1 in a 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.723 * [backup-simplify]: Simplify 2 into 2 2.724 * [backup-simplify]: Simplify (* 1 1) into 1 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2)))) into (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 2.724 * [backup-simplify]: Simplify (+ (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) (+ (* (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) into (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) 2.724 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in (b a) around 0 2.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in a 2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.724 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.724 * [taylor]: Taking taylor expansion of a in a 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (* 1 1) into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.725 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in a 2.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.725 * [taylor]: Taking taylor expansion of 2 in a 2.725 * [backup-simplify]: Simplify 2 into 2 2.725 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.725 * [taylor]: Taking taylor expansion of (* a b) in a 2.725 * [taylor]: Taking taylor expansion of a in a 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of b in a 2.725 * [backup-simplify]: Simplify b into b 2.725 * [backup-simplify]: Simplify (* 0 b) into 0 2.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.725 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.725 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.725 * [taylor]: Taking taylor expansion of b in a 2.725 * [backup-simplify]: Simplify b into b 2.726 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.726 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.726 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.726 * [taylor]: Taking taylor expansion of a in b 2.726 * [backup-simplify]: Simplify a into a 2.726 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.726 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.726 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 2.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.726 * [taylor]: Taking taylor expansion of 2 in b 2.726 * [backup-simplify]: Simplify 2 into 2 2.726 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.726 * [taylor]: Taking taylor expansion of (* a b) in b 2.726 * [taylor]: Taking taylor expansion of a in b 2.726 * [backup-simplify]: Simplify a into a 2.726 * [taylor]: Taking taylor expansion of b in b 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (* a 0) into 0 2.726 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.726 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.726 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.726 * [taylor]: Taking taylor expansion of b in b 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (* 1 1) into 1 2.727 * [backup-simplify]: Simplify (/ 1 1) into 1 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.727 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.727 * [taylor]: Taking taylor expansion of a in b 2.727 * [backup-simplify]: Simplify a into a 2.727 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.727 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.727 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 2.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.727 * [taylor]: Taking taylor expansion of 2 in b 2.727 * [backup-simplify]: Simplify 2 into 2 2.727 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.727 * [taylor]: Taking taylor expansion of (* a b) in b 2.727 * [taylor]: Taking taylor expansion of a in b 2.727 * [backup-simplify]: Simplify a into a 2.727 * [taylor]: Taking taylor expansion of b in b 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (* a 0) into 0 2.728 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.728 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.728 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.728 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.728 * [taylor]: Taking taylor expansion of b in b 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (+ 0 1) into 1 2.729 * [backup-simplify]: Simplify (+ 0 1) into 1 2.729 * [taylor]: Taking taylor expansion of 1 in a 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.730 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.730 * [taylor]: Taking taylor expansion of 2 in a 2.730 * [backup-simplify]: Simplify 2 into 2 2.730 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.730 * [taylor]: Taking taylor expansion of a in a 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.732 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.732 * [taylor]: Taking taylor expansion of a in a 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 2 1) into 2 2.733 * [backup-simplify]: Simplify 2 into 2 2.733 * [backup-simplify]: Simplify 1 into 1 2.734 * [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) (+ (pow b 2) (* 2 (* a b)))) 2.734 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) (+ (* (/ 1 (- a)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- b))))) into (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) 2.734 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in (b a) around 0 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in a 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.734 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.734 * [taylor]: Taking taylor expansion of a in a 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in a 2.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 2.735 * [taylor]: Taking taylor expansion of 2 in a 2.735 * [backup-simplify]: Simplify 2 into 2 2.735 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 2.735 * [taylor]: Taking taylor expansion of (* a b) in a 2.735 * [taylor]: Taking taylor expansion of a in a 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [taylor]: Taking taylor expansion of b in a 2.735 * [backup-simplify]: Simplify b into b 2.735 * [backup-simplify]: Simplify (* 0 b) into 0 2.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 2.735 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.735 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.735 * [taylor]: Taking taylor expansion of b in a 2.735 * [backup-simplify]: Simplify b into b 2.735 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.735 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.735 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.735 * [taylor]: Taking taylor expansion of a in b 2.735 * [backup-simplify]: Simplify a into a 2.735 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.736 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.736 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 2.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.736 * [taylor]: Taking taylor expansion of 2 in b 2.736 * [backup-simplify]: Simplify 2 into 2 2.736 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.736 * [taylor]: Taking taylor expansion of (* a b) in b 2.736 * [taylor]: Taking taylor expansion of a in b 2.736 * [backup-simplify]: Simplify a into a 2.736 * [taylor]: Taking taylor expansion of b in b 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* a 0) into 0 2.736 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.736 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.736 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.736 * [taylor]: Taking taylor expansion of b in b 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* 1 1) into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.737 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.737 * [taylor]: Taking taylor expansion of a in b 2.737 * [backup-simplify]: Simplify a into a 2.737 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.737 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.737 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 2.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 2.737 * [taylor]: Taking taylor expansion of 2 in b 2.737 * [backup-simplify]: Simplify 2 into 2 2.737 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 2.737 * [taylor]: Taking taylor expansion of (* a b) in b 2.737 * [taylor]: Taking taylor expansion of a in b 2.737 * [backup-simplify]: Simplify a into a 2.737 * [taylor]: Taking taylor expansion of b in b 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (* a 0) into 0 2.737 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.737 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.737 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.737 * [taylor]: Taking taylor expansion of b in b 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [backup-simplify]: Simplify (+ 0 1) into 1 2.738 * [backup-simplify]: Simplify (+ 0 1) into 1 2.738 * [taylor]: Taking taylor expansion of 1 in a 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 2.740 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 2.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 2.740 * [taylor]: Taking taylor expansion of 2 in a 2.740 * [backup-simplify]: Simplify 2 into 2 2.740 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.740 * [taylor]: Taking taylor expansion of a in a 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.742 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.742 * [taylor]: Taking taylor expansion of a in a 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (* 2 1) into 2 2.743 * [backup-simplify]: Simplify 2 into 2 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [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) (+ (pow b 2) (* 2 (* a b)))) 2.743 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.744 * [backup-simplify]: Simplify (+ (* b b) (* a a)) into (+ (pow a 2) (pow b 2)) 2.744 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (b a) around 0 2.744 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 2.744 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.744 * [taylor]: Taking taylor expansion of a in a 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.744 * [taylor]: Taking taylor expansion of b in a 2.744 * [backup-simplify]: Simplify b into b 2.744 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 2.744 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.744 * [taylor]: Taking taylor expansion of a in b 2.744 * [backup-simplify]: Simplify a into a 2.744 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.744 * [taylor]: Taking taylor expansion of b in b 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 2.744 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.744 * [taylor]: Taking taylor expansion of a in b 2.744 * [backup-simplify]: Simplify a into a 2.744 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.744 * [taylor]: Taking taylor expansion of b in b 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.744 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 2.744 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.744 * [taylor]: Taking taylor expansion of a in a 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [taylor]: Taking taylor expansion of 0 in a 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.745 * [backup-simplify]: Simplify (+ 0 1) into 1 2.745 * [taylor]: Taking taylor expansion of 1 in a 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [taylor]: Taking taylor expansion of 0 in a 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [taylor]: Taking taylor expansion of 0 in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (+ (pow a 2) (pow b 2)) 2.750 * [backup-simplify]: Simplify (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2.750 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (b a) around 0 2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.750 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.750 * [taylor]: Taking taylor expansion of a in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.751 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.751 * [taylor]: Taking taylor expansion of b in a 2.751 * [backup-simplify]: Simplify b into b 2.751 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.751 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.751 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.751 * [taylor]: Taking taylor expansion of a in b 2.751 * [backup-simplify]: Simplify a into a 2.751 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.751 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.751 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.751 * [taylor]: Taking taylor expansion of b in b 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.752 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.752 * [taylor]: Taking taylor expansion of a in b 2.752 * [backup-simplify]: Simplify a into a 2.752 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.752 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.752 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.752 * [taylor]: Taking taylor expansion of b in b 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify (+ 0 1) into 1 2.753 * [taylor]: Taking taylor expansion of 1 in a 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [taylor]: Taking taylor expansion of 0 in a 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 2.755 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.755 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.755 * [taylor]: Taking taylor expansion of a in a 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [taylor]: Taking taylor expansion of 0 in a 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [taylor]: Taking taylor expansion of 0 in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (+ (pow a 2) (pow b 2)) 2.762 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 2.762 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (b a) around 0 2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.762 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.762 * [taylor]: Taking taylor expansion of a in a 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.762 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.762 * [taylor]: Taking taylor expansion of b in a 2.762 * [backup-simplify]: Simplify b into b 2.762 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.763 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.763 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.763 * [taylor]: Taking taylor expansion of a in b 2.763 * [backup-simplify]: Simplify a into a 2.763 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.763 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.763 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.763 * [taylor]: Taking taylor expansion of b in b 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (* 1 1) into 1 2.763 * [backup-simplify]: Simplify (/ 1 1) into 1 2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.763 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.763 * [taylor]: Taking taylor expansion of a in b 2.763 * [backup-simplify]: Simplify a into a 2.763 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.764 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.764 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.764 * [taylor]: Taking taylor expansion of b in b 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [backup-simplify]: Simplify (+ 0 1) into 1 2.764 * [taylor]: Taking taylor expansion of 1 in a 2.764 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [taylor]: Taking taylor expansion of 0 in a 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.767 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.767 * [taylor]: Taking taylor expansion of a in a 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [taylor]: Taking taylor expansion of 0 in a 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [taylor]: Taking taylor expansion of 0 in a 2.772 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (+ (pow a 2) (pow b 2)) 2.774 * * * [progress]: simplifying candidates 2.774 * [simplify]: Simplifying: (* (* (exp (* b b)) (exp (* a a))) (* (exp (* a b)) (exp (* a b)))) (* (* (exp (* b b)) (exp (* a a))) (exp (+ (* a b) (* a b)))) (* (exp (+ (* b b) (* a a))) (* (exp (* a b)) (exp (* a b)))) (* (exp (+ (* b b) (* a a))) (exp (+ (* a b) (* a b)))) (log (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (exp (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (* (cbrt (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (cbrt (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))))) (cbrt (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (* (* (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (sqrt (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (sqrt (+ (+ (* b b) (* a a)) (+ (* a b) (* a b)))) (+ (* (+ (pow (* b b) 3) (pow (* a a) 3)) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (+ (* (* b b) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* a a)))) (+ (pow (* a b) 3) (pow (* a b) 3)))) (* (+ (* (* b b) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* a a)))) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (+ (* (+ (pow (* b b) 3) (pow (* a a) 3)) (- (* a b) (* a b))) (* (+ (* (* b b) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* a a)))) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (+ (* (* b b) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* a a)))) (- (* a b) (* a b))) (+ (* (- (* (* b b) (* b b)) (* (* a a) (* a a))) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (- (* b b) (* a a)) (+ (pow (* a b) 3) (pow (* a b) 3)))) (* (- (* b b) (* a a)) (+ (* (* a b) (* a b)) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (+ (* (- (* (* b b) (* b b)) (* (* a a) (* a a))) (- (* a b) (* a b))) (* (- (* b b) (* a a)) (- (* (* a b) (* a b)) (* (* a b) (* a b))))) (* (- (* b b) (* a a)) (- (* a b) (* a b))) (+ (pow (+ (* b b) (* a a)) 3) (pow (+ (* a b) (* a b)) 3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (* (+ (* a b) (* a b)) (+ (* a b) (* a b))) (* (+ (* b b) (* a a)) (+ (* a b) (* a b))))) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* a b) (* a b)) (+ (* a b) (* a b)))) (- (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* b b) (* a a)) (* a b)) (+ (* a a) (+ (* a b) (* a b))) (* (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)) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) 2.775 * * [simplify]: iteration 0: 83 enodes 2.800 * * [simplify]: iteration 1: 292 enodes 2.910 * * [simplify]: iteration 2: 1292 enodes 3.349 * * [simplify]: iteration complete: 5000 enodes 3.349 * * [simplify]: Extracting #0: cost 29 inf + 0 3.350 * * [simplify]: Extracting #1: cost 328 inf + 1 3.354 * * [simplify]: Extracting #2: cost 1426 inf + 8400 3.387 * * [simplify]: Extracting #3: cost 1130 inf + 173418 3.496 * * [simplify]: Extracting #4: cost 257 inf + 423363 3.619 * * [simplify]: Extracting #5: cost 63 inf + 487924 3.720 * * [simplify]: Extracting #6: cost 13 inf + 495819 3.844 * * [simplify]: Extracting #7: cost 0 inf + 499711 3.950 * [simplify]: Simplified to: (exp (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (exp (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (exp (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (exp (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (log (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (exp (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (* (cbrt (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (cbrt (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))))) (cbrt (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (* (* (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (sqrt (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (sqrt (+ (+ (* a b) (* a b)) (+ (* a a) (* b b)))) (+ (* (* (* b b) b) (+ (* (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))) (* (* a a) a)) (* (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))) (* (* a a) a)))) (* (* b b) (* (* a a) (+ (* (* b b) (* (* b b) (* b b))) (* (* a a) (* (* a a) (* a a))))))) (* (* a a) (* (* b b) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))))) 0 0 (+ (* (* (* (- (* b b) (* a a)) (* a a)) (* b b)) (* a b)) (+ (* (* (* (- (* b b) (* a a)) (* a a)) (* b b)) (* a b)) (* (- (* (* b b) (* b b)) (* (* a a) (* a a))) (* (* a b) (* a b))))) (* (* (- (* b b) (* a a)) (* a a)) (* b b)) 0 0 (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (+ (* a b) (* a b)) (* (+ (* a b) (* a b)) (+ (* a b) (* a b))))) (+ (* (+ (* a b) (* a b)) (+ (* a b) (- (* a b) (+ (* a a) (* b b))))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a b) (* a b)) (+ (* a b) (* a b)))) (- (+ (* b b) (* a a)) (+ (* a b) (* a b))) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))) (+ (+ (* a a) (* b b)) (* a b)) (+ (+ (* a a) (* a b)) (* a b)) (exp (+ (* a a) (* b b))) (log (+ (* a a) (* b b))) (exp (+ (* a a) (* b b))) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (cbrt (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b))) (sqrt (+ (* a a) (* b b))) (+ (* (* b b) (* (* b b) (* b b))) (* (* a a) (* (* a a) (* a a)))) (+ (* (* a a) (* a a)) (* (* b b) (- (* b b) (* a a)))) (- (* (* b b) (* b b)) (* (* a a) (* a a))) (- (* b b) (* a a)) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))) (+ (+ (* a b) (* a b)) (+ (* a a) (* b b))) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) 3.952 * * * [progress]: adding candidates to table 4.070 * * [progress]: iteration 3 / 4 4.070 * * * [progress]: picking best candidate 4.074 * * * * [pick]: Picked # 4.074 * * * [progress]: localizing error 4.087 * * * [progress]: generating rewritten candidates 4.087 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.114 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.203 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 4.210 * * * [progress]: generating series expansions 4.210 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.210 * [backup-simplify]: Simplify (+ (+ (* b b) (* a a)) (* a b)) into (+ (pow a 2) (+ (pow b 2) (* a b))) 4.210 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* a b))) in (b a) around 0 4.210 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* a b))) in a 4.210 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.210 * [taylor]: Taking taylor expansion of a in a 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* a b)) in a 4.210 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.210 * [taylor]: Taking taylor expansion of b in a 4.210 * [backup-simplify]: Simplify b into b 4.210 * [taylor]: Taking taylor expansion of (* a b) in a 4.210 * [taylor]: Taking taylor expansion of a in a 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of b in a 4.210 * [backup-simplify]: Simplify b into b 4.210 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* a b))) in b 4.210 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.210 * [taylor]: Taking taylor expansion of a in b 4.210 * [backup-simplify]: Simplify a into a 4.210 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* a b)) in b 4.210 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.210 * [taylor]: Taking taylor expansion of b in b 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (* a b) in b 4.210 * [taylor]: Taking taylor expansion of a in b 4.210 * [backup-simplify]: Simplify a into a 4.210 * [taylor]: Taking taylor expansion of b in b 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* a b))) in b 4.210 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.210 * [taylor]: Taking taylor expansion of a in b 4.210 * [backup-simplify]: Simplify a into a 4.210 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* a b)) in b 4.210 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.210 * [taylor]: Taking taylor expansion of b in b 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (* a b) in b 4.210 * [taylor]: Taking taylor expansion of a in b 4.210 * [backup-simplify]: Simplify a into a 4.211 * [taylor]: Taking taylor expansion of b in b 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.211 * [backup-simplify]: Simplify (* a 0) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 4.211 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.211 * [taylor]: Taking taylor expansion of a in a 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.212 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.212 * [backup-simplify]: Simplify (+ 0 a) into a 4.212 * [backup-simplify]: Simplify (+ 0 a) into a 4.212 * [taylor]: Taking taylor expansion of a in a 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.213 * [backup-simplify]: Simplify (+ 1 0) into 1 4.213 * [backup-simplify]: Simplify (+ 0 1) into 1 4.214 * [taylor]: Taking taylor expansion of 1 in a 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (* 1 1) into 1 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (+ (* 1 (* a b)) (* 1 (pow (* 1 b) 2)))) into (+ (pow a 2) (+ (pow b 2) (* a b))) 4.214 * [backup-simplify]: Simplify (+ (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) (* (/ 1 a) (/ 1 b))) into (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) 4.214 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in (b a) around 0 4.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in a 4.214 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.214 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.214 * [taylor]: Taking taylor expansion of a in a 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.215 * [backup-simplify]: Simplify (/ 1 1) into 1 4.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in a 4.215 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.215 * [taylor]: Taking taylor expansion of (* a b) in a 4.215 * [taylor]: Taking taylor expansion of a in a 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [taylor]: Taking taylor expansion of b in a 4.215 * [backup-simplify]: Simplify b into b 4.215 * [backup-simplify]: Simplify (* 0 b) into 0 4.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.216 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.216 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.216 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.216 * [taylor]: Taking taylor expansion of b in a 4.216 * [backup-simplify]: Simplify b into b 4.216 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.216 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in b 4.216 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.216 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.216 * [taylor]: Taking taylor expansion of a in b 4.216 * [backup-simplify]: Simplify a into a 4.216 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.216 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in b 4.216 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.216 * [taylor]: Taking taylor expansion of (* a b) in b 4.216 * [taylor]: Taking taylor expansion of a in b 4.216 * [backup-simplify]: Simplify a into a 4.216 * [taylor]: Taking taylor expansion of b in b 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* a 0) into 0 4.216 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.216 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.216 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.216 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.216 * [taylor]: Taking taylor expansion of b in b 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (* 1 1) into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in b 4.217 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.217 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.217 * [taylor]: Taking taylor expansion of a in b 4.217 * [backup-simplify]: Simplify a into a 4.217 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.217 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in b 4.217 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.217 * [taylor]: Taking taylor expansion of (* a b) in b 4.217 * [taylor]: Taking taylor expansion of a in b 4.217 * [backup-simplify]: Simplify a into a 4.217 * [taylor]: Taking taylor expansion of b in b 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (* a 0) into 0 4.218 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.218 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.218 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.218 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.218 * [taylor]: Taking taylor expansion of b in b 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (* 1 1) into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [backup-simplify]: Simplify (+ 0 1) into 1 4.219 * [backup-simplify]: Simplify (+ 0 1) into 1 4.219 * [taylor]: Taking taylor expansion of 1 in a 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 4.220 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 4.220 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.220 * [taylor]: Taking taylor expansion of a in a 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ 0 0) into 0 4.222 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.222 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.222 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.222 * [taylor]: Taking taylor expansion of a in a 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (+ (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2)))) into (+ (pow a 2) (+ (pow b 2) (* a b))) 4.223 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) (* (/ 1 (- a)) (/ 1 (- b)))) into (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) 4.223 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in (b a) around 0 4.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in a 4.223 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.223 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.223 * [taylor]: Taking taylor expansion of a in a 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.224 * [backup-simplify]: Simplify (* 1 1) into 1 4.224 * [backup-simplify]: Simplify (/ 1 1) into 1 4.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in a 4.224 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.224 * [taylor]: Taking taylor expansion of (* a b) in a 4.224 * [taylor]: Taking taylor expansion of a in a 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [taylor]: Taking taylor expansion of b in a 4.224 * [backup-simplify]: Simplify b into b 4.224 * [backup-simplify]: Simplify (* 0 b) into 0 4.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.224 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.224 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.224 * [taylor]: Taking taylor expansion of b in a 4.225 * [backup-simplify]: Simplify b into b 4.225 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.225 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in b 4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.225 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.225 * [taylor]: Taking taylor expansion of a in b 4.225 * [backup-simplify]: Simplify a into a 4.225 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.225 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in b 4.225 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.225 * [taylor]: Taking taylor expansion of (* a b) in b 4.225 * [taylor]: Taking taylor expansion of a in b 4.225 * [backup-simplify]: Simplify a into a 4.225 * [taylor]: Taking taylor expansion of b in b 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (* a 0) into 0 4.225 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.225 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.225 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.225 * [taylor]: Taking taylor expansion of b in b 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (* 1 1) into 1 4.226 * [backup-simplify]: Simplify (/ 1 1) into 1 4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (/ 1 (* a b)) (/ 1 (pow b 2)))) in b 4.226 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.226 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.226 * [taylor]: Taking taylor expansion of a in b 4.226 * [backup-simplify]: Simplify a into a 4.226 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.226 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (* a b)) (/ 1 (pow b 2))) in b 4.226 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.226 * [taylor]: Taking taylor expansion of (* a b) in b 4.226 * [taylor]: Taking taylor expansion of a in b 4.226 * [backup-simplify]: Simplify a into a 4.226 * [taylor]: Taking taylor expansion of b in b 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (* a 0) into 0 4.227 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.227 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.227 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.227 * [taylor]: Taking taylor expansion of b in b 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (* 1 1) into 1 4.227 * [backup-simplify]: Simplify (/ 1 1) into 1 4.227 * [backup-simplify]: Simplify (+ 0 1) into 1 4.228 * [backup-simplify]: Simplify (+ 0 1) into 1 4.228 * [taylor]: Taking taylor expansion of 1 in a 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 4.229 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 4.229 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.229 * [taylor]: Taking taylor expansion of a in a 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.231 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.231 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.231 * [taylor]: Taking taylor expansion of a in a 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.232 * [backup-simplify]: Simplify (/ 1 1) into 1 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (+ (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2)))) into (+ (pow a 2) (+ (pow b 2) (* a b))) 4.232 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.233 * [backup-simplify]: Simplify (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b)) into (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 4.233 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in (b a) around 0 4.233 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in a 4.233 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.233 * [taylor]: Taking taylor expansion of a in a 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in a 4.233 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.233 * [taylor]: Taking taylor expansion of b in a 4.233 * [backup-simplify]: Simplify b into b 4.233 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 4.233 * [taylor]: Taking taylor expansion of 2 in a 4.233 * [backup-simplify]: Simplify 2 into 2 4.233 * [taylor]: Taking taylor expansion of (* a b) in a 4.233 * [taylor]: Taking taylor expansion of a in a 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of b in a 4.233 * [backup-simplify]: Simplify b into b 4.233 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in b 4.233 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.233 * [taylor]: Taking taylor expansion of a in b 4.233 * [backup-simplify]: Simplify a into a 4.233 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in b 4.233 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.233 * [taylor]: Taking taylor expansion of b in b 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 4.233 * [taylor]: Taking taylor expansion of 2 in b 4.233 * [backup-simplify]: Simplify 2 into 2 4.233 * [taylor]: Taking taylor expansion of (* a b) in b 4.233 * [taylor]: Taking taylor expansion of a in b 4.233 * [backup-simplify]: Simplify a into a 4.233 * [taylor]: Taking taylor expansion of b in b 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) in b 4.233 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.233 * [taylor]: Taking taylor expansion of a in b 4.233 * [backup-simplify]: Simplify a into a 4.233 * [taylor]: Taking taylor expansion of (+ (pow b 2) (* 2 (* a b))) in b 4.233 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.233 * [taylor]: Taking taylor expansion of b in b 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 4.233 * [taylor]: Taking taylor expansion of 2 in b 4.233 * [backup-simplify]: Simplify 2 into 2 4.234 * [taylor]: Taking taylor expansion of (* a b) in b 4.234 * [taylor]: Taking taylor expansion of a in b 4.234 * [backup-simplify]: Simplify a into a 4.234 * [taylor]: Taking taylor expansion of b in b 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.234 * [backup-simplify]: Simplify (* a 0) into 0 4.234 * [backup-simplify]: Simplify (* 2 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 4.234 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.234 * [taylor]: Taking taylor expansion of a in a 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.235 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.235 * [backup-simplify]: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) 4.235 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 4.235 * [backup-simplify]: Simplify (+ 0 (* 2 a)) into (* 2 a) 4.235 * [taylor]: Taking taylor expansion of (* 2 a) in a 4.235 * [taylor]: Taking taylor expansion of 2 in a 4.235 * [backup-simplify]: Simplify 2 into 2 4.235 * [taylor]: Taking taylor expansion of a in a 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (* 2 0) into 0 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.236 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 a) (* 0 0))) into 0 4.237 * [backup-simplify]: Simplify (+ 1 0) into 1 4.238 * [backup-simplify]: Simplify (+ 0 1) into 1 4.238 * [taylor]: Taking taylor expansion of 1 in a 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.238 * [backup-simplify]: Simplify 2 into 2 4.240 * [backup-simplify]: Simplify (* 1 1) into 1 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (+ (* 2 (* a b)) (* 1 (pow (* 1 b) 2)))) into (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) 4.240 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) (* (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 1 b))) into (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) 4.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in (b a) around 0 4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in a 4.240 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.240 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.241 * [taylor]: Taking taylor expansion of a in a 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (* 1 1) into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in a 4.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 4.241 * [taylor]: Taking taylor expansion of 2 in a 4.241 * [backup-simplify]: Simplify 2 into 2 4.241 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.241 * [taylor]: Taking taylor expansion of (* a b) in a 4.241 * [taylor]: Taking taylor expansion of a in a 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [taylor]: Taking taylor expansion of b in a 4.241 * [backup-simplify]: Simplify b into b 4.241 * [backup-simplify]: Simplify (* 0 b) into 0 4.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.242 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.242 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.242 * [taylor]: Taking taylor expansion of b in a 4.242 * [backup-simplify]: Simplify b into b 4.242 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.242 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.242 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.242 * [taylor]: Taking taylor expansion of a in b 4.242 * [backup-simplify]: Simplify a into a 4.242 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.242 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.242 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 4.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 4.242 * [taylor]: Taking taylor expansion of 2 in b 4.242 * [backup-simplify]: Simplify 2 into 2 4.242 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.242 * [taylor]: Taking taylor expansion of (* a b) in b 4.242 * [taylor]: Taking taylor expansion of a in b 4.242 * [backup-simplify]: Simplify a into a 4.242 * [taylor]: Taking taylor expansion of b in b 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* a 0) into 0 4.242 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.242 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.243 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.243 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.243 * [taylor]: Taking taylor expansion of b in b 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 4.243 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.243 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.243 * [taylor]: Taking taylor expansion of a in b 4.243 * [backup-simplify]: Simplify a into a 4.243 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.243 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.243 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 4.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 4.243 * [taylor]: Taking taylor expansion of 2 in b 4.243 * [backup-simplify]: Simplify 2 into 2 4.243 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.243 * [taylor]: Taking taylor expansion of (* a b) in b 4.243 * [taylor]: Taking taylor expansion of a in b 4.243 * [backup-simplify]: Simplify a into a 4.243 * [taylor]: Taking taylor expansion of b in b 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (* a 0) into 0 4.244 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.244 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.244 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.244 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.244 * [taylor]: Taking taylor expansion of b in b 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (* 1 1) into 1 4.244 * [backup-simplify]: Simplify (/ 1 1) into 1 4.245 * [backup-simplify]: Simplify (+ 0 1) into 1 4.245 * [backup-simplify]: Simplify (+ 0 1) into 1 4.245 * [taylor]: Taking taylor expansion of 1 in a 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 4.246 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 4.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 4.246 * [taylor]: Taking taylor expansion of 2 in a 4.246 * [backup-simplify]: Simplify 2 into 2 4.246 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.246 * [taylor]: Taking taylor expansion of a in a 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.249 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.249 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.249 * [taylor]: Taking taylor expansion of a in a 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (* 1 1) into 1 4.249 * [backup-simplify]: Simplify (/ 1 1) into 1 4.249 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (* 2 1) into 2 4.250 * [backup-simplify]: Simplify 2 into 2 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [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) (+ (pow b 2) (* 2 (* a b)))) 4.250 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) (* (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- b)))) into (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) 4.251 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in (b a) around 0 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in a 4.251 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.251 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.251 * [taylor]: Taking taylor expansion of a in a 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (* 1 1) into 1 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in a 4.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 4.251 * [taylor]: Taking taylor expansion of 2 in a 4.251 * [backup-simplify]: Simplify 2 into 2 4.251 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 4.251 * [taylor]: Taking taylor expansion of (* a b) in a 4.251 * [taylor]: Taking taylor expansion of a in a 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [taylor]: Taking taylor expansion of b in a 4.251 * [backup-simplify]: Simplify b into b 4.251 * [backup-simplify]: Simplify (* 0 b) into 0 4.252 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 4.252 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.252 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.252 * [taylor]: Taking taylor expansion of b in a 4.252 * [backup-simplify]: Simplify b into b 4.252 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.252 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.252 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.252 * [taylor]: Taking taylor expansion of a in b 4.252 * [backup-simplify]: Simplify a into a 4.252 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.252 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.252 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 4.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 4.252 * [taylor]: Taking taylor expansion of 2 in b 4.252 * [backup-simplify]: Simplify 2 into 2 4.252 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.252 * [taylor]: Taking taylor expansion of (* a b) in b 4.252 * [taylor]: Taking taylor expansion of a in b 4.252 * [backup-simplify]: Simplify a into a 4.252 * [taylor]: Taking taylor expansion of b in b 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (* a 0) into 0 4.252 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.253 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.253 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.253 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.253 * [taylor]: Taking taylor expansion of b in b 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2)))) in b 4.253 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.253 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.253 * [taylor]: Taking taylor expansion of a in b 4.253 * [backup-simplify]: Simplify a into a 4.253 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.253 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.253 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))) in b 4.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 4.253 * [taylor]: Taking taylor expansion of 2 in b 4.253 * [backup-simplify]: Simplify 2 into 2 4.253 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 4.253 * [taylor]: Taking taylor expansion of (* a b) in b 4.253 * [taylor]: Taking taylor expansion of a in b 4.253 * [backup-simplify]: Simplify a into a 4.253 * [taylor]: Taking taylor expansion of b in b 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (* a 0) into 0 4.254 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 4.254 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.254 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.254 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.254 * [taylor]: Taking taylor expansion of b in b 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (* 1 1) into 1 4.254 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [backup-simplify]: Simplify (+ 0 1) into 1 4.255 * [backup-simplify]: Simplify (+ 0 1) into 1 4.255 * [taylor]: Taking taylor expansion of 1 in a 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (* 2 (/ 1 a)) into (/ 2 a) 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (/ 2 a) 0) into (* 2 (/ 1 a)) 4.256 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 a))) into (* 2 (/ 1 a)) 4.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 4.256 * [taylor]: Taking taylor expansion of 2 in a 4.256 * [backup-simplify]: Simplify 2 into 2 4.256 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.256 * [taylor]: Taking taylor expansion of a in a 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ 0 0) into 0 4.259 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.259 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.259 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.259 * [taylor]: Taking taylor expansion of a in a 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (* 1 1) into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (* 2 1) into 2 4.260 * [backup-simplify]: Simplify 2 into 2 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [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) (+ (pow b 2) (* 2 (* a b)))) 4.260 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 4.261 * [backup-simplify]: Simplify (+ (* b b) (* a a)) into (+ (pow a 2) (pow b 2)) 4.261 * [approximate]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in (b a) around 0 4.261 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in a 4.261 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.261 * [taylor]: Taking taylor expansion of a in a 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.261 * [taylor]: Taking taylor expansion of b in a 4.261 * [backup-simplify]: Simplify b into b 4.261 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 4.261 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.261 * [taylor]: Taking taylor expansion of a in b 4.261 * [backup-simplify]: Simplify a into a 4.261 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.261 * [taylor]: Taking taylor expansion of b in b 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of (+ (pow a 2) (pow b 2)) in b 4.261 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.261 * [taylor]: Taking taylor expansion of a in b 4.261 * [backup-simplify]: Simplify a into a 4.261 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.261 * [taylor]: Taking taylor expansion of b in b 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.261 * [backup-simplify]: Simplify (+ (pow a 2) 0) into (pow a 2) 4.261 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.261 * [taylor]: Taking taylor expansion of a in a 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.262 * [backup-simplify]: Simplify (+ 0 0) into 0 4.262 * [taylor]: Taking taylor expansion of 0 in a 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.262 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (+ 0 1) into 1 4.262 * [taylor]: Taking taylor expansion of 1 in a 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify (* 1 1) into 1 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [taylor]: Taking taylor expansion of 0 in a 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.266 * [backup-simplify]: Simplify (+ 0 0) into 0 4.266 * [taylor]: Taking taylor expansion of 0 in a 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (+ (pow a 2) (pow b 2)) 4.266 * [backup-simplify]: Simplify (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 4.266 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (b a) around 0 4.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.267 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.267 * [taylor]: Taking taylor expansion of a in a 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (* 1 1) into 1 4.267 * [backup-simplify]: Simplify (/ 1 1) into 1 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.267 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.267 * [taylor]: Taking taylor expansion of b in a 4.267 * [backup-simplify]: Simplify b into b 4.267 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.267 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.267 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.267 * [taylor]: Taking taylor expansion of a in b 4.267 * [backup-simplify]: Simplify a into a 4.267 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.267 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.268 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.268 * [taylor]: Taking taylor expansion of b in b 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (* 1 1) into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 4.268 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.268 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.268 * [taylor]: Taking taylor expansion of a in b 4.268 * [backup-simplify]: Simplify a into a 4.268 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.268 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.268 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.268 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.268 * [taylor]: Taking taylor expansion of b in b 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (* 1 1) into 1 4.269 * [backup-simplify]: Simplify (/ 1 1) into 1 4.269 * [backup-simplify]: Simplify (+ 0 1) into 1 4.269 * [taylor]: Taking taylor expansion of 1 in a 4.269 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [taylor]: Taking taylor expansion of 0 in a 4.270 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.272 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.272 * [taylor]: Taking taylor expansion of a in a 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (/ 1 1) into 1 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [taylor]: Taking taylor expansion of 0 in a 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.277 * [backup-simplify]: Simplify (+ 0 0) into 0 4.277 * [taylor]: Taking taylor expansion of 0 in a 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (+ (pow a 2) (pow b 2)) 4.278 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) 4.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (b a) around 0 4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 4.278 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.278 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.278 * [taylor]: Taking taylor expansion of a in a 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (* 1 1) into 1 4.279 * [backup-simplify]: Simplify (/ 1 1) into 1 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.279 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.279 * [taylor]: Taking taylor expansion of b in a 4.279 * [backup-simplify]: Simplify b into b 4.279 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.279 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.279 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.279 * [taylor]: Taking taylor expansion of a in b 4.279 * [backup-simplify]: Simplify a into a 4.279 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.279 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.279 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.279 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.279 * [taylor]: Taking taylor expansion of b in b 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (* 1 1) into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.280 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.280 * [taylor]: Taking taylor expansion of a in b 4.280 * [backup-simplify]: Simplify a into a 4.280 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.280 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.280 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.280 * [taylor]: Taking taylor expansion of b in b 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (* 1 1) into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [backup-simplify]: Simplify (+ 0 1) into 1 4.281 * [taylor]: Taking taylor expansion of 1 in a 4.281 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [taylor]: Taking taylor expansion of 0 in a 4.282 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) 4.283 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.283 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.283 * [taylor]: Taking taylor expansion of a in a 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [taylor]: Taking taylor expansion of 0 in a 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.289 * [taylor]: Taking taylor expansion of 0 in a 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (+ (pow a 2) (pow b 2)) 4.290 * * * [progress]: simplifying candidates 4.291 * [simplify]: Simplifying: (* (* (exp (* b b)) (exp (* a a))) (exp (* a b))) (* (exp (+ (* b b) (* a a))) (exp (* a b))) (log (+ (+ (* b b) (* a a)) (* a b))) (exp (+ (+ (* b b) (* a a)) (* a b))) (* (cbrt (+ (+ (* b b) (* a a)) (* a b))) (cbrt (+ (+ (* b b) (* a a)) (* a b)))) (cbrt (+ (+ (* b b) (* a a)) (* a b))) (* (* (+ (+ (* b b) (* a a)) (* a b)) (+ (+ (* b b) (* a a)) (* a b))) (+ (+ (* b b) (* a a)) (* a b))) (sqrt (+ (+ (* b b) (* a a)) (* a b))) (sqrt (+ (+ (* b b) (* a a)) (* a b))) (+ (pow (+ (* b b) (* a a)) 3) (pow (* a b) 3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (- (* (* a b) (* a b)) (* (+ (* b b) (* a a)) (* a b)))) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* a b) (* a b))) (- (+ (* b b) (* a a)) (* a b)) (+ (* a a) (* a b)) (* (* (* (exp (* b b)) (exp (* a a))) (exp (* a b))) (exp (* a b))) (* (* (exp (+ (* b b) (* a a))) (exp (* a b))) (exp (* a b))) (* (exp (+ (+ (* b b) (* a a)) (* a b))) (exp (* a b))) (log (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (exp (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (* (cbrt (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (cbrt (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b)))) (cbrt (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (* (* (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b)) (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (sqrt (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (sqrt (+ (+ (+ (* b b) (* a a)) (* a b)) (* a b))) (+ (pow (+ (+ (* b b) (* a a)) (* a b)) 3) (pow (* a b) 3)) (+ (* (+ (+ (* b b) (* a a)) (* a b)) (+ (+ (* b b) (* a a)) (* a b))) (- (* (* a b) (* a b)) (* (+ (+ (* b b) (* a a)) (* a b)) (* a b)))) (- (* (+ (+ (* b b) (* a a)) (* a b)) (+ (+ (* b b) (* a a)) (* a b))) (* (* a b) (* a b))) (- (+ (+ (* b b) (* a a)) (* a b)) (* a b)) (+ (* a b) (* a b)) (* (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)) (+ (pow a 2) (+ (pow b 2) (* a b))) (+ (pow a 2) (+ (pow b 2) (* a b))) (+ (pow a 2) (+ (pow b 2) (* a b))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (+ (pow b 2) (* 2 (* a b)))) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) (+ (pow a 2) (pow b 2)) 4.292 * * [simplify]: iteration 0: 76 enodes 4.310 * * [simplify]: iteration 1: 249 enodes 4.398 * * [simplify]: iteration 2: 936 enodes 4.928 * * [simplify]: iteration complete: 5001 enodes 4.928 * * [simplify]: Extracting #0: cost 35 inf + 0 4.929 * * [simplify]: Extracting #1: cost 469 inf + 0 4.936 * * [simplify]: Extracting #2: cost 1687 inf + 10885 4.978 * * [simplify]: Extracting #3: cost 1141 inf + 191104 5.096 * * [simplify]: Extracting #4: cost 96 inf + 490454 5.231 * * [simplify]: Extracting #5: cost 32 inf + 514606 5.367 * * [simplify]: Extracting #6: cost 6 inf + 516793 5.502 * * [simplify]: Extracting #7: cost 0 inf + 518551 5.627 * [simplify]: Simplified to: (exp (+ (* b b) (* (+ a b) a))) (exp (+ (* b b) (* (+ a b) a))) (log (+ (* b b) (* (+ a b) a))) (exp (+ (* b b) (* (+ a b) a))) (* (cbrt (+ (* b b) (* (+ a b) a))) (cbrt (+ (* b b) (* (+ a b) a)))) (cbrt (+ (* b b) (* (+ a b) a))) (* (* (+ (* b b) (* (+ a b) a)) (+ (* b b) (* (+ a b) a))) (+ (* b b) (* (+ a b) a))) (sqrt (+ (* b b) (* (+ a b) a))) (sqrt (+ (* b b) (* (+ a b) a))) (+ (* (* (* a b) (* a b)) (* a b)) (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* a b) (- (* a b) (+ (* b b) (* a a))))) (- (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* a b) (* a b))) (- (+ (* b b) (* a a)) (* a b)) (* (+ a b) a) (exp (+ (* a (+ (+ a b) b)) (* b b))) (exp (+ (* a (+ (+ a b) b)) (* b b))) (exp (+ (* a (+ (+ a b) b)) (* b b))) (log (+ (* a (+ (+ a b) b)) (* b b))) (exp (+ (* a (+ (+ a b) b)) (* b b))) (* (cbrt (+ (* a (+ (+ a b) b)) (* b b))) (cbrt (+ (* a (+ (+ a b) b)) (* b b)))) (cbrt (+ (* a (+ (+ a b) b)) (* b b))) (* (* (+ (* a (+ (+ a b) b)) (* b b)) (+ (* a (+ (+ a b) b)) (* b b))) (+ (* a (+ (+ a b) b)) (* b b))) (sqrt (+ (* a (+ (+ a b) b)) (* b b))) (sqrt (+ (* a (+ (+ a b) b)) (* b b))) (+ (* (* (* a b) (* a b)) (* a b)) (* (* (+ (* b b) (* (+ a b) a)) (+ (* b b) (* (+ a b) a))) (+ (* b b) (* (+ a b) a)))) (+ (* (* a b) (* a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* (+ a b) a)))) (* (+ (+ (* a b) (* b b)) (+ (* a a) (* a b))) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (* (+ b b) a) (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))) (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (sqrt (+ (* b b) (* a a))) (sqrt (+ (* b b) (* a a))) (+ (* (* (* a a) a) (* (* a a) a)) (* (* b (* b b)) (* b (* b b)))) (+ (* (* b b) (* b b)) (* (* a a) (- (* a a) (* b b)))) (- (* (* b b) (* b b)) (* (* a a) (* a a))) (* (- b a) (+ a b)) (+ (* b b) (* (+ a b) a)) (+ (* b b) (* (+ a b) a)) (+ (* b b) (* (+ a b) a)) (+ (* a (+ (+ a b) b)) (* b b)) (+ (* a (+ (+ a b) b)) (* b b)) (+ (* a (+ (+ a b) b)) (* b b)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) (+ (* b b) (* a a)) 5.630 * * * [progress]: adding candidates to table 5.799 * [progress]: [Phase 3 of 3] Extracting. 5.799 * * [regime]: Finding splitpoints for: (# #) 5.799 * * * [regime-changes]: Trying 2 branch expressions: (b a) 5.799 * * * * [regimes]: Trying to branch on b from (# #) 5.826 * * * * [regimes]: Trying to branch on a from (# #) 5.866 * * * [regime]: Found split indices: #