9.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* (+ a b) (+ a b)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.030 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.032 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.033 * [simplify]: Simplified to: (* (+ a b) (+ a b)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.048 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.048 * [taylor]: Taking taylor expansion of (+ a b) in b 0.048 * [taylor]: Taking taylor expansion of a in b 0.048 * [taylor]: Taking taylor expansion of b in b 0.048 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.048 * [taylor]: Taking taylor expansion of (+ a b) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of b in a 0.048 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.048 * [taylor]: Taking taylor expansion of (+ a b) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [taylor]: Taking taylor expansion of b in a 0.048 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.048 * [taylor]: Taking taylor expansion of b in b 0.048 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.048 * [taylor]: Taking taylor expansion of 2 in b 0.048 * [taylor]: Taking taylor expansion of b in b 0.048 * [taylor]: Taking taylor expansion of 1 in b 0.049 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.049 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.049 * [taylor]: Taking taylor expansion of b in b 0.049 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.049 * [taylor]: Taking taylor expansion of a in b 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.049 * [taylor]: Taking taylor expansion of b in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.049 * [taylor]: Taking taylor expansion of b in a 0.049 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [taylor]: Taking taylor expansion of 1 in b 0.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.049 * [taylor]: Taking taylor expansion of 2 in b 0.049 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.049 * [taylor]: Taking taylor expansion of b in b 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.049 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.049 * [taylor]: Taking taylor expansion of b in b 0.050 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.050 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.050 * [taylor]: Taking taylor expansion of b in b 0.050 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.050 * [taylor]: Taking taylor expansion of a in b 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.050 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.050 * [taylor]: Taking taylor expansion of b in a 0.050 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.050 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.050 * [taylor]: Taking taylor expansion of b in a 0.050 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.050 * [taylor]: Taking taylor expansion of 1 in b 0.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.051 * [taylor]: Taking taylor expansion of 2 in b 0.051 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.051 * [taylor]: Taking taylor expansion of b in b 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.051 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.051 * [taylor]: Taking taylor expansion of b in b 0.051 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (+ 1 1) (* (+ a b) (+ a b)) (+ 1 1) (+ (log (+ a b)) (log (+ a b))) (log (* (+ a b) (+ a b))) (exp (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (+ a b)) (cbrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 2 1) (* (+ a b) a) (* (+ a b) b) (* a (+ a b)) (* b (+ a b)) (* (+ a b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (+ a b) (sqrt (+ a b))) (* (+ a b) 1) (* (+ a b) 1) (* (cbrt (+ a b)) (+ a b)) (* (sqrt (+ a b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.056 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.060 * * [simplify]: iteration 1 : 902 enodes (cost 188 ) 0.086 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.088 * [simplify]: Simplified to: 2 (* (+ a b) (+ a b)) 2 (* 2 (log (+ a b))) (* 2 (log (+ a b))) (exp (* (+ a b) (+ a b))) (pow (+ a b) 6) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (pow (+ a b) 6) (fabs (+ a b)) (fabs (+ a b)) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (pow (cbrt (+ a b)) 4) (* (cbrt (+ a b)) (cbrt (+ a b))) (+ a b) (+ a b) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) 1 (* (+ a b) (+ a b)) (+ a b) (+ a b) 2 (* a (+ a b)) (* b (+ a b)) (* a (+ a b)) (* b (+ a b)) (* (pow (cbrt (+ a b)) 4) (cbrt (+ a b))) (pow (sqrt (+ a b)) 3) (+ a b) (+ a b) (pow (cbrt (+ a b)) 4) (pow (sqrt (+ a b)) 3) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) 0.088 * * * [progress]: adding candidates to table 0.121 * * [progress]: iteration 2 / 4 0.121 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.147 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.158 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in (a b) around 0 0.164 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in b 0.164 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.164 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.164 * [taylor]: Taking taylor expansion of a in b 0.164 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.164 * [taylor]: Taking taylor expansion of b in b 0.164 * [taylor]: Taking taylor expansion of (+ a b) in b 0.164 * [taylor]: Taking taylor expansion of a in b 0.164 * [taylor]: Taking taylor expansion of b in b 0.164 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in a 0.164 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.164 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.164 * [taylor]: Taking taylor expansion of a in a 0.164 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.164 * [taylor]: Taking taylor expansion of b in a 0.164 * [taylor]: Taking taylor expansion of (+ a b) in a 0.164 * [taylor]: Taking taylor expansion of a in a 0.164 * [taylor]: Taking taylor expansion of b in a 0.164 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in a 0.164 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.164 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.164 * [taylor]: Taking taylor expansion of a in a 0.164 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.164 * [taylor]: Taking taylor expansion of b in a 0.164 * [taylor]: Taking taylor expansion of (+ a b) in a 0.164 * [taylor]: Taking taylor expansion of a in a 0.164 * [taylor]: Taking taylor expansion of b in a 0.164 * [taylor]: Taking taylor expansion of (* -1 (pow b 3)) in b 0.164 * [taylor]: Taking taylor expansion of -1 in b 0.164 * [taylor]: Taking taylor expansion of (pow b 3) in b 0.164 * [taylor]: Taking taylor expansion of b in b 0.165 * [taylor]: Taking taylor expansion of (neg (pow b 2)) in b 0.165 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.165 * [taylor]: Taking taylor expansion of b in b 0.165 * [taylor]: Taking taylor expansion of b in b 0.165 * [taylor]: Taking taylor expansion of 1 in b 0.166 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 0.166 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in b 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.166 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.166 * [taylor]: Taking taylor expansion of a in b 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.166 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.166 * [taylor]: Taking taylor expansion of b in b 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.166 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.166 * [taylor]: Taking taylor expansion of b in b 0.166 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.166 * [taylor]: Taking taylor expansion of a in b 0.166 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.166 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.166 * [taylor]: Taking taylor expansion of a in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.166 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.166 * [taylor]: Taking taylor expansion of b in a 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.166 * [taylor]: Taking taylor expansion of b in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.166 * [taylor]: Taking taylor expansion of a in a 0.166 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.166 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.166 * [taylor]: Taking taylor expansion of a in a 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.166 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.166 * [taylor]: Taking taylor expansion of b in a 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.167 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.167 * [taylor]: Taking taylor expansion of b in a 0.167 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.167 * [taylor]: Taking taylor expansion of a in a 0.167 * [taylor]: Taking taylor expansion of 1 in b 0.167 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.167 * [taylor]: Taking taylor expansion of b in b 0.167 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 2))) in b 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.167 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.167 * [taylor]: Taking taylor expansion of b in b 0.168 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 3))) in b 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 0.168 * [taylor]: Taking taylor expansion of (pow b 3) in b 0.168 * [taylor]: Taking taylor expansion of b in b 0.169 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 0.169 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a)))) in b 0.169 * [taylor]: Taking taylor expansion of -1 in b 0.169 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in b 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.169 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.169 * [taylor]: Taking taylor expansion of a in b 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.169 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.169 * [taylor]: Taking taylor expansion of b in b 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.169 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.169 * [taylor]: Taking taylor expansion of b in b 0.169 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.169 * [taylor]: Taking taylor expansion of a in b 0.169 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a)))) in a 0.169 * [taylor]: Taking taylor expansion of -1 in a 0.169 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.169 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.169 * [taylor]: Taking taylor expansion of a in a 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.169 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.169 * [taylor]: Taking taylor expansion of b in a 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.169 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.169 * [taylor]: Taking taylor expansion of b in a 0.169 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.169 * [taylor]: Taking taylor expansion of a in a 0.169 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a)))) in a 0.169 * [taylor]: Taking taylor expansion of -1 in a 0.169 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.169 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.169 * [taylor]: Taking taylor expansion of a in a 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.170 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.170 * [taylor]: Taking taylor expansion of b in a 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.170 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.170 * [taylor]: Taking taylor expansion of b in a 0.170 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.170 * [taylor]: Taking taylor expansion of a in a 0.170 * [taylor]: Taking taylor expansion of -1 in b 0.170 * [taylor]: Taking taylor expansion of (neg (/ 1 b)) in b 0.170 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.170 * [taylor]: Taking taylor expansion of b in b 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.171 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.171 * [taylor]: Taking taylor expansion of b in b 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 0.171 * [taylor]: Taking taylor expansion of (pow b 3) in b 0.171 * [taylor]: Taking taylor expansion of b in b 0.172 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.172 * [approximate]: Taking taylor expansion of (/ (* (- (pow a 2) (pow b 2)) (+ a b)) (- a b)) in (a b) around 0 0.172 * [taylor]: Taking taylor expansion of (/ (* (- (pow a 2) (pow b 2)) (+ a b)) (- a b)) in b 0.172 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in b 0.172 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.172 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.172 * [taylor]: Taking taylor expansion of a in b 0.172 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.172 * [taylor]: Taking taylor expansion of b in b 0.172 * [taylor]: Taking taylor expansion of (+ a b) in b 0.172 * [taylor]: Taking taylor expansion of a in b 0.172 * [taylor]: Taking taylor expansion of b in b 0.172 * [taylor]: Taking taylor expansion of (- a b) in b 0.172 * [taylor]: Taking taylor expansion of a in b 0.172 * [taylor]: Taking taylor expansion of b in b 0.173 * [taylor]: Taking taylor expansion of (/ (* (- (pow a 2) (pow b 2)) (+ a b)) (- a b)) in a 0.173 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in a 0.173 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.173 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (+ a b) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (- a b) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (/ (* (- (pow a 2) (pow b 2)) (+ a b)) (- a b)) in a 0.173 * [taylor]: Taking taylor expansion of (* (- (pow a 2) (pow b 2)) (+ a b)) in a 0.173 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.173 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (+ a b) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.173 * [taylor]: Taking taylor expansion of (- a b) in a 0.173 * [taylor]: Taking taylor expansion of a in a 0.173 * [taylor]: Taking taylor expansion of b in a 0.174 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.174 * [taylor]: Taking taylor expansion of b in b 0.174 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.174 * [taylor]: Taking taylor expansion of 2 in b 0.174 * [taylor]: Taking taylor expansion of b in b 0.174 * [taylor]: Taking taylor expansion of 1 in b 0.175 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b))) in (a b) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b))) in b 0.175 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in b 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.175 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.175 * [taylor]: Taking taylor expansion of a in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.175 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.175 * [taylor]: Taking taylor expansion of b in b 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.175 * [taylor]: Taking taylor expansion of b in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.175 * [taylor]: Taking taylor expansion of a in b 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.175 * [taylor]: Taking taylor expansion of a in b 0.175 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.175 * [taylor]: Taking taylor expansion of b in b 0.175 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b))) in a 0.175 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.175 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.175 * [taylor]: Taking taylor expansion of a in a 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.175 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.175 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.176 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.176 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 a) (/ 1 b))) in a 0.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.176 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.176 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.176 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.176 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.176 * [taylor]: Taking taylor expansion of a in a 0.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.176 * [taylor]: Taking taylor expansion of b in a 0.176 * [taylor]: Taking taylor expansion of 1 in b 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.177 * [taylor]: Taking taylor expansion of 2 in b 0.177 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.177 * [taylor]: Taking taylor expansion of b in b 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.180 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.180 * [taylor]: Taking taylor expansion of b in b 0.180 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 0.180 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a)))) in b 0.180 * [taylor]: Taking taylor expansion of -1 in b 0.180 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in b 0.180 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in b 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.180 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.180 * [taylor]: Taking taylor expansion of a in b 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.181 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.181 * [taylor]: Taking taylor expansion of b in b 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.181 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.181 * [taylor]: Taking taylor expansion of b in b 0.181 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.181 * [taylor]: Taking taylor expansion of a in b 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.181 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.181 * [taylor]: Taking taylor expansion of b in b 0.181 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.181 * [taylor]: Taking taylor expansion of a in b 0.181 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a)))) in a 0.181 * [taylor]: Taking taylor expansion of -1 in a 0.181 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a 0.181 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.181 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.181 * [taylor]: Taking taylor expansion of a in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.181 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.181 * [taylor]: Taking taylor expansion of b in a 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.181 * [taylor]: Taking taylor expansion of b in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.181 * [taylor]: Taking taylor expansion of a in a 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.181 * [taylor]: Taking taylor expansion of b in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.181 * [taylor]: Taking taylor expansion of a in a 0.181 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a)))) in a 0.181 * [taylor]: Taking taylor expansion of -1 in a 0.182 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a 0.182 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) (+ (/ 1 b) (/ 1 a))) in a 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.182 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.182 * [taylor]: Taking taylor expansion of a in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.182 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.182 * [taylor]: Taking taylor expansion of b in a 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.182 * [taylor]: Taking taylor expansion of b in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.182 * [taylor]: Taking taylor expansion of a in a 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.182 * [taylor]: Taking taylor expansion of b in a 0.182 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.182 * [taylor]: Taking taylor expansion of a in a 0.182 * [taylor]: Taking taylor expansion of 1 in b 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.182 * [taylor]: Taking taylor expansion of 2 in b 0.182 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.182 * [taylor]: Taking taylor expansion of b in b 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.183 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.183 * [taylor]: Taking taylor expansion of b in b 0.184 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.184 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.184 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.184 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.184 * [taylor]: Taking taylor expansion of a in b 0.184 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.184 * [taylor]: Taking taylor expansion of b in b 0.184 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.184 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.184 * [taylor]: Taking taylor expansion of a in a 0.184 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.184 * [taylor]: Taking taylor expansion of b in a 0.184 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.184 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.184 * [taylor]: Taking taylor expansion of a in a 0.184 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.184 * [taylor]: Taking taylor expansion of b in a 0.184 * [taylor]: Taking taylor expansion of (neg (pow b 2)) in b 0.184 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.184 * [taylor]: Taking taylor expansion of b in b 0.184 * [taylor]: Taking taylor expansion of 0 in b 0.185 * [taylor]: Taking taylor expansion of 1 in b 0.185 * [taylor]: Taking taylor expansion of 0 in b 0.185 * [taylor]: Taking taylor expansion of 0 in b 0.185 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.185 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.185 * [taylor]: Taking taylor expansion of a in b 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.185 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.185 * [taylor]: Taking taylor expansion of b in b 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.186 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.186 * [taylor]: Taking taylor expansion of a in a 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.186 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.186 * [taylor]: Taking taylor expansion of b in a 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.186 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.186 * [taylor]: Taking taylor expansion of a in a 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.186 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.186 * [taylor]: Taking taylor expansion of b in a 0.186 * [taylor]: Taking taylor expansion of 1 in b 0.186 * [taylor]: Taking taylor expansion of 0 in b 0.187 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 2))) in b 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.187 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.187 * [taylor]: Taking taylor expansion of b in b 0.187 * [taylor]: Taking taylor expansion of 0 in b 0.187 * [taylor]: Taking taylor expansion of 0 in b 0.188 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.188 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.188 * [taylor]: Taking taylor expansion of a in b 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.188 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.188 * [taylor]: Taking taylor expansion of b in b 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.188 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.188 * [taylor]: Taking taylor expansion of a in a 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.188 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.188 * [taylor]: Taking taylor expansion of b in a 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.188 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.188 * [taylor]: Taking taylor expansion of a in a 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.188 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.188 * [taylor]: Taking taylor expansion of b in a 0.188 * [taylor]: Taking taylor expansion of 1 in b 0.189 * [taylor]: Taking taylor expansion of 0 in b 0.189 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 2))) in b 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.189 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.189 * [taylor]: Taking taylor expansion of b in b 0.189 * [taylor]: Taking taylor expansion of 0 in b 0.190 * [taylor]: Taking taylor expansion of 0 in b 0.190 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (* (- (* a a) (* b b)) (+ a b)) (+ (log (- (* a a) (* b b))) (log (+ a b))) (log (* (- (* a a) (* b b)) (+ a b))) (exp (* (- (* a a) (* b b)) (+ a b))) (* (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* a a) (* b b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* (- (* a a) (* b b)) (+ a b))) (cbrt (* (- (* a a) (* b b)) (+ a b)))) (cbrt (* (- (* a a) (* b b)) (+ a b))) (* (* (* (- (* a a) (* b b)) (+ a b)) (* (- (* a a) (* b b)) (+ a b))) (* (- (* a a) (* b b)) (+ a b))) (sqrt (* (- (* a a) (* b b)) (+ a b))) (sqrt (* (- (* a a) (* b b)) (+ a b))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (+ (pow a 3) (pow b 3))) (* (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* a a) (- (* b b) (* a b)))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (- (* a a) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (- a b)) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (* b b)) (+ (* a a) (- (* b b) (* a b)))) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* a a) (* b b))) (* (+ (* a a) (* b b)) (- a b)) (* (sqrt (- (* a a) (* b b))) (sqrt (+ a b))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ a b))) (* (- (* a a) (* b b)) a) (* (- (* a a) (* b b)) b) (* a (- (* a a) (* b b))) (* b (- (* a a) (* b b))) (* (- (* a a) (* b b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (- (* a a) (* b b)) (sqrt (+ a b))) (* (- (* a a) (* b b)) 1) (* (- (* a a) (* b b)) 1) (* (cbrt (- (* a a) (* b b))) (+ a b)) (* (sqrt (- (* a a) (* b b))) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (* (- a b) (+ a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (+ a b)) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ a b)) (- (+ (log (- (* a a) (* b b))) (log (+ a b))) (log (- a b))) (- (log (* (- (* a a) (* b b)) (+ a b))) (log (- a b))) (log (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (exp (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (/ (* (* (* (- (* 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 a) (* b b)) (+ a b)) (* (- (* a a) (* b b)) (+ a b))) (* (- (* a a) (* b b)) (+ a b))) (* (* (- a b) (- a b)) (- a b))) (* (cbrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (cbrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b)))) (cbrt (/ (* (- (* 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)) (+ a b)) (- a b))) (sqrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (sqrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (neg (* (- (* a a) (* b b)) (+ a b))) (neg (- a b)) (/ (- (* a a) (* b b)) (* (cbrt (- a b)) (cbrt (- a b)))) (/ (+ a b) (cbrt (- a b))) (/ (- (* a a) (* b b)) (sqrt (- a b))) (/ (+ a b) (sqrt (- a b))) (/ (- (* a a) (* b b)) 1) (/ (+ a b) (- a b)) (/ (- (* a a) (* b b)) (+ (sqrt a) (sqrt b))) (/ (+ a b) (- (sqrt a) (sqrt b))) (/ (- (* a a) (* b b)) 1) (/ (+ a b) (- a b)) (/ 1 (- a b)) (/ (- a b) (* (- (* a a) (* b b)) (+ a b))) (/ (* (- (* a a) (* b b)) (+ a b)) (* (cbrt (- a b)) (cbrt (- a b)))) (/ (* (- (* a a) (* b b)) (+ a b)) (sqrt (- a b))) (/ (* (- (* a a) (* b b)) (+ a b)) 1) (/ (* (- (* a a) (* b b)) (+ a b)) (+ (sqrt a) (sqrt b))) (/ (* (- (* a a) (* b b)) (+ a b)) 1) (/ (- a b) (+ a b)) (/ (* (- (* a a) (* b b)) (+ a b)) (- (pow a 3) (pow b 3))) (/ (* (- (* a a) (* b b)) (+ a b)) (- (* a a) (* b b))) (* (- a b) (* (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* a a) (- (* b b) (* a b))))) (* (- a b) (* (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (- a b))) (* (- a b) (* (+ (* a a) (* b 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 b)) (* (- a b) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (- a b) (+ (* a a) (* b b))) (/ (exp (* a a)) (exp (* 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))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (neg (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b)) (+ a b) (- a b) (neg (* b b)) (- (+ (pow a 3) (* (pow a 2) b)) (* a (pow b 2))) (- (* (pow a 2) b) (+ (* a (pow b 2)) (pow b 3))) (- (* (pow a 2) b) (+ (* a (pow b 2)) (pow b 3))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.197 * * [simplify]: iteration 0 : 435 enodes (cost 731 ) 0.208 * * [simplify]: iteration 1 : 2668 enodes (cost 647 ) 0.260 * * [simplify]: iteration 2 : 5002 enodes (cost 647 ) 0.264 * [simplify]: Simplified to: (* (- (* a a) (* b b)) (+ a b)) (log (* (- (* a a) (* b b)) (+ a b))) (log (* (- (* a a) (* b b)) (+ a b))) (exp (* (- (* a a) (* b b)) (+ a b))) (pow (* (- (* a a) (* b b)) (+ a b)) 3) (* (cbrt (* (- (* a a) (* b b)) (+ a b))) (cbrt (* (- (* a a) (* b b)) (+ a b)))) (cbrt (* (- (* a a) (* b b)) (+ a b))) (pow (* (- (* a a) (* b b)) (+ a b)) 3) (sqrt (* (- (* a a) (* b b)) (+ a b))) (sqrt (* (- (* a a) (* b b)) (+ a b))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (* (pow b 2) (+ (pow b 2) (pow a 2))) (* (* a a) (* a a)))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (- (* a a) (* b b))) (* (- a b) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (* a a) (* b b))) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* a a) (* b b))) (* (- a b) (+ (* a a) (* b b))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ a b))) (* (sqrt (- (* a a) (* b b))) (sqrt (+ a b))) (* (- (* a a) (* b b)) a) (* (- (* a a) (* b b)) b) (* (- (* a a) (* b b)) a) (* (- (* a a) (* b b)) b) (* (- (* a a) (* b b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (- (* a a) (* b b)) (sqrt (+ a b))) (- (* a a) (* b b)) (- (* a a) (* b b)) (* (cbrt (- (* a a) (* b b))) (+ a b)) (* (sqrt (- (* a a) (* b b))) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (- (* a a) (* b b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- (pow (* a a) 3) (pow (* b b) 3)) (+ a b)) (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ a b)) (log (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (log (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (log (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (exp (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (pow (/ (* (- (* a a) (* b b)) (+ a b)) (- a b)) 3) (pow (/ (* (- (* a a) (* b b)) (+ a b)) (- a b)) 3) (* (cbrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (cbrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b)))) (cbrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (pow (/ (* (- (* a a) (* b b)) (+ a b)) (- a b)) 3) (sqrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (sqrt (/ (* (- (* a a) (* b b)) (+ a b)) (- a b))) (neg (* (- (* a a) (* b b)) (+ a b))) (neg (- a b)) (/ (- (* a a) (* b b)) (* (cbrt (- a b)) (cbrt (- a b)))) (/ (+ a b) (cbrt (- a b))) (/ (- (* a a) (* b b)) (sqrt (- a b))) (/ (+ a b) (sqrt (- a b))) (- (* a a) (* b b)) (/ (+ a b) (- a b)) (/ (- (* a a) (* b b)) (+ (sqrt a) (sqrt b))) (/ (+ a b) (- (sqrt a) (sqrt b))) (- (* a a) (* b b)) (/ (+ a b) (- a b)) (/ 1 (- a b)) (/ (- a b) (* (- (* a a) (* b b)) (+ a b))) (/ (* (- (* a a) (* b b)) (+ a b)) (* (cbrt (- a b)) (cbrt (- a b)))) (/ (* (- (* a a) (* b b)) (+ a b)) (sqrt (- a b))) (* (- (* a a) (* b b)) (+ a b)) (/ (* (- (* a a) (* b b)) (+ a b)) (+ (sqrt a) (sqrt b))) (* (- (* a a) (* b b)) (+ a b)) (/ (- a b) (+ a b)) (/ (* (- (* a a) (* b b)) (+ a b)) (- (pow a 3) (pow b 3))) (/ (* (- (* a a) (* b b)) (+ a b)) (- (* a a) (* b b))) (* (* (+ (* b (- b a)) (pow a 2)) (- a b)) (+ (* (pow a 2) (+ (* a a) (* b b))) (pow b 4))) (* (* (- a b) (- a b)) (+ (* (pow a 2) (+ (* a a) (* b b))) (pow b 4))) (* (* (+ (* b (- b a)) (pow a 2)) (+ (* a a) (* b b))) (- a b)) (* (- a b) (* (+ (* a a) (* b b)) (- a b))) (* (+ (* b (- b a)) (pow a 2)) (- a b)) (* (- a b) (- a b)) (* (- a b) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b))))) (* (- a b) (+ (* a a) (* b 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))) (pow (- (* a a) (* b b)) 3) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (* (pow a 2) (+ (* a a) (* b b))) (pow b 4)) (neg (* b b)) (+ (* (neg (pow b 3)) b) (pow a 4)) (+ (* a a) (* b b)) (+ a b) (- a b) (neg (* b b)) (- (+ (pow a 3) (* (pow a 2) b)) (* a (pow b 2))) (- (* (pow a 2) b) (+ (* a (pow b 2)) (pow b 3))) (- (* (pow a 2) b) (+ (* a (pow b 2)) (pow b 3))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) 0.265 * * * [progress]: adding candidates to table 0.344 * * [progress]: iteration 3 / 4 0.344 * * * [progress]: picking best candidate 0.349 * * * * [pick]: Picked # 0.349 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.365 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.376 * [approximate]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in (a b) around 0 0.376 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 0.376 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 0.376 * [taylor]: Taking taylor expansion of 2 in b 0.376 * [taylor]: Taking taylor expansion of (* a b) in b 0.376 * [taylor]: Taking taylor expansion of a in b 0.377 * [taylor]: Taking taylor expansion of b in b 0.377 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.377 * [taylor]: Taking taylor expansion of b in b 0.377 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.377 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.377 * [taylor]: Taking taylor expansion of 2 in a 0.377 * [taylor]: Taking taylor expansion of (* a b) in a 0.377 * [taylor]: Taking taylor expansion of a in a 0.377 * [taylor]: Taking taylor expansion of b in a 0.377 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.377 * [taylor]: Taking taylor expansion of b in a 0.377 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.377 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.377 * [taylor]: Taking taylor expansion of 2 in a 0.377 * [taylor]: Taking taylor expansion of (* a b) in a 0.377 * [taylor]: Taking taylor expansion of a in a 0.377 * [taylor]: Taking taylor expansion of b in a 0.377 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.377 * [taylor]: Taking taylor expansion of b in a 0.377 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.377 * [taylor]: Taking taylor expansion of b in b 0.377 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.377 * [taylor]: Taking taylor expansion of 2 in b 0.377 * [taylor]: Taking taylor expansion of b in b 0.377 * [taylor]: Taking taylor expansion of 0 in b 0.378 * [taylor]: Taking taylor expansion of 0 in b 0.378 * [taylor]: Taking taylor expansion of 0 in b 0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in (a b) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in b 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.378 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.378 * [taylor]: Taking taylor expansion of b in b 0.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.378 * [taylor]: Taking taylor expansion of 2 in b 0.378 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.378 * [taylor]: Taking taylor expansion of (* a b) in b 0.378 * [taylor]: Taking taylor expansion of a in b 0.378 * [taylor]: Taking taylor expansion of b in b 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in a 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.378 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.378 * [taylor]: Taking taylor expansion of b in a 0.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.378 * [taylor]: Taking taylor expansion of 2 in a 0.379 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.379 * [taylor]: Taking taylor expansion of (* a b) in a 0.379 * [taylor]: Taking taylor expansion of a in a 0.379 * [taylor]: Taking taylor expansion of b in a 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in a 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.379 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.379 * [taylor]: Taking taylor expansion of b in a 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.379 * [taylor]: Taking taylor expansion of 2 in a 0.379 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.379 * [taylor]: Taking taylor expansion of (* a b) in a 0.379 * [taylor]: Taking taylor expansion of a in a 0.379 * [taylor]: Taking taylor expansion of b in a 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.379 * [taylor]: Taking taylor expansion of 2 in b 0.379 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.379 * [taylor]: Taking taylor expansion of b in b 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.379 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.379 * [taylor]: Taking taylor expansion of b in b 0.380 * [taylor]: Taking taylor expansion of 0 in b 0.380 * [taylor]: Taking taylor expansion of 0 in b 0.381 * [taylor]: Taking taylor expansion of 0 in b 0.381 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in (a b) around 0 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in b 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.381 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.381 * [taylor]: Taking taylor expansion of b in b 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.381 * [taylor]: Taking taylor expansion of 2 in b 0.381 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.381 * [taylor]: Taking taylor expansion of (* a b) in b 0.381 * [taylor]: Taking taylor expansion of a in b 0.381 * [taylor]: Taking taylor expansion of b in b 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in a 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.381 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.382 * [taylor]: Taking taylor expansion of b in a 0.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.382 * [taylor]: Taking taylor expansion of 2 in a 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.382 * [taylor]: Taking taylor expansion of (* a b) in a 0.382 * [taylor]: Taking taylor expansion of a in a 0.382 * [taylor]: Taking taylor expansion of b in a 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (* 2 (/ 1 (* a b)))) in a 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.382 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.382 * [taylor]: Taking taylor expansion of b in a 0.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.382 * [taylor]: Taking taylor expansion of 2 in a 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.382 * [taylor]: Taking taylor expansion of (* a b) in a 0.382 * [taylor]: Taking taylor expansion of a in a 0.382 * [taylor]: Taking taylor expansion of b in a 0.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.382 * [taylor]: Taking taylor expansion of 2 in b 0.382 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.382 * [taylor]: Taking taylor expansion of b in b 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.382 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.382 * [taylor]: Taking taylor expansion of b in b 0.383 * [taylor]: Taking taylor expansion of 0 in b 0.383 * [taylor]: Taking taylor expansion of 0 in b 0.384 * [taylor]: Taking taylor expansion of 0 in b 0.384 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.384 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 0.384 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 0.384 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.384 * [taylor]: Taking taylor expansion of a in b 0.384 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 0.384 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 0.384 * [taylor]: Taking taylor expansion of 2 in b 0.384 * [taylor]: Taking taylor expansion of (* a b) in b 0.385 * [taylor]: Taking taylor expansion of a in b 0.385 * [taylor]: Taking taylor expansion of b in b 0.385 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.385 * [taylor]: Taking taylor expansion of b in b 0.385 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.385 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.385 * [taylor]: Taking taylor expansion of a in a 0.385 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.385 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.385 * [taylor]: Taking taylor expansion of 2 in a 0.385 * [taylor]: Taking taylor expansion of (* a b) in a 0.385 * [taylor]: Taking taylor expansion of a in a 0.385 * [taylor]: Taking taylor expansion of b in a 0.385 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.385 * [taylor]: Taking taylor expansion of b in a 0.385 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.385 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.385 * [taylor]: Taking taylor expansion of a in a 0.385 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.385 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.385 * [taylor]: Taking taylor expansion of 2 in a 0.385 * [taylor]: Taking taylor expansion of (* a b) in a 0.385 * [taylor]: Taking taylor expansion of a in a 0.385 * [taylor]: Taking taylor expansion of b in a 0.385 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.385 * [taylor]: Taking taylor expansion of b in a 0.385 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.385 * [taylor]: Taking taylor expansion of b in b 0.385 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.385 * [taylor]: Taking taylor expansion of 2 in b 0.385 * [taylor]: Taking taylor expansion of b in b 0.385 * [taylor]: Taking taylor expansion of 1 in b 0.386 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.386 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.386 * [taylor]: Taking taylor expansion of b in b 0.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.386 * [taylor]: Taking taylor expansion of 2 in b 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.386 * [taylor]: Taking taylor expansion of (* a b) in b 0.386 * [taylor]: Taking taylor expansion of a in b 0.386 * [taylor]: Taking taylor expansion of b in b 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.386 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.386 * [taylor]: Taking taylor expansion of a in b 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.386 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.386 * [taylor]: Taking taylor expansion of b in a 0.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.387 * [taylor]: Taking taylor expansion of 2 in a 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.387 * [taylor]: Taking taylor expansion of (* a b) in a 0.387 * [taylor]: Taking taylor expansion of a in a 0.387 * [taylor]: Taking taylor expansion of b in a 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.387 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.387 * [taylor]: Taking taylor expansion of a in a 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.387 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.387 * [taylor]: Taking taylor expansion of b in a 0.387 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.387 * [taylor]: Taking taylor expansion of 2 in a 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.387 * [taylor]: Taking taylor expansion of (* a b) in a 0.387 * [taylor]: Taking taylor expansion of a in a 0.387 * [taylor]: Taking taylor expansion of b in a 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.387 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.387 * [taylor]: Taking taylor expansion of a in a 0.387 * [taylor]: Taking taylor expansion of 1 in b 0.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.387 * [taylor]: Taking taylor expansion of 2 in b 0.387 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.387 * [taylor]: Taking taylor expansion of b in b 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.388 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.388 * [taylor]: Taking taylor expansion of b in b 0.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.388 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.388 * [taylor]: Taking taylor expansion of b in b 0.388 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.388 * [taylor]: Taking taylor expansion of 2 in b 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.388 * [taylor]: Taking taylor expansion of (* a b) in b 0.388 * [taylor]: Taking taylor expansion of a in b 0.388 * [taylor]: Taking taylor expansion of b in b 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.388 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.388 * [taylor]: Taking taylor expansion of a in b 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.389 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.389 * [taylor]: Taking taylor expansion of b in a 0.389 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.389 * [taylor]: Taking taylor expansion of 2 in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.389 * [taylor]: Taking taylor expansion of (* a b) in a 0.389 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of b in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.389 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.389 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.389 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.389 * [taylor]: Taking taylor expansion of b in a 0.389 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.389 * [taylor]: Taking taylor expansion of 2 in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.389 * [taylor]: Taking taylor expansion of (* a b) in a 0.389 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of b in a 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.389 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.389 * [taylor]: Taking taylor expansion of a in a 0.389 * [taylor]: Taking taylor expansion of 1 in b 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.390 * [taylor]: Taking taylor expansion of 2 in b 0.390 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.390 * [taylor]: Taking taylor expansion of b in b 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.390 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.390 * [taylor]: Taking taylor expansion of b in b 0.390 * * * [progress]: simplifying candidates 0.391 * [simplify]: Simplifying using # : (* (exp (* 2 (* a b))) (exp (pow b 2))) (log (+ (* 2 (* a b)) (pow b 2))) (exp (+ (* 2 (* a b)) (pow b 2))) (* (cbrt (+ (* 2 (* a b)) (pow b 2))) (cbrt (+ (* 2 (* a b)) (pow b 2)))) (cbrt (+ (* 2 (* a b)) (pow b 2))) (* (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))) (+ (* 2 (* a b)) (pow b 2))) (sqrt (+ (* 2 (* a b)) (pow b 2))) (sqrt (+ (* 2 (* a b)) (pow b 2))) (+ (pow (* 2 (* a b)) 3) (pow (pow b 2) 3)) (+ (* (* 2 (* a b)) (* 2 (* a b))) (- (* (pow b 2) (pow b 2)) (* (* 2 (* a b)) (pow b 2)))) (- (* (* 2 (* a b)) (* 2 (* a b))) (* (pow b 2) (pow b 2))) (- (* 2 (* a b)) (pow b 2)) (* (exp (pow a 2)) (* (exp (* 2 (* a b))) (exp (pow b 2)))) (* (exp (pow a 2)) (exp (+ (* 2 (* a b)) (pow b 2)))) (log (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (exp (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (* (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))))) (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (* (* (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (sqrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (sqrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (+ (pow (pow a 2) 3) (pow (+ (* 2 (* a b)) (pow b 2)) 3)) (+ (* (pow a 2) (pow a 2)) (- (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))) (* (pow a 2) (+ (* 2 (* a b)) (pow b 2))))) (- (* (pow a 2) (pow a 2)) (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)))) (- (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (* 2 (* a b))) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.394 * * [simplify]: iteration 0 : 163 enodes (cost 237 ) 0.398 * * [simplify]: iteration 1 : 744 enodes (cost 220 ) 0.417 * * [simplify]: iteration 2 : 3894 enodes (cost 212 ) 0.532 * * [simplify]: iteration 3 : 5001 enodes (cost 212 ) 0.534 * [simplify]: Simplified to: (pow (exp b) (+ b (* 2 a))) (log (+ (* 2 (* a b)) (pow b 2))) (pow (exp b) (+ b (* 2 a))) (* (cbrt (+ (* 2 (* a b)) (pow b 2))) (cbrt (+ (* 2 (* a b)) (pow b 2)))) (cbrt (+ (* 2 (* a b)) (pow b 2))) (pow (* b (+ b (* 2 a))) 3) (sqrt (+ (* 2 (* a b)) (pow b 2))) (sqrt (+ (* 2 (* a b)) (pow b 2))) (+ (pow (* 2 (* a b)) 3) (pow (pow b 2) 3)) (* (pow b 2) (+ (* (pow a 2) 4) (* b (- b (* 2 a))))) (* (pow b 2) (- (* (pow a 2) 4) (pow b 2))) (* b (- (* 2 a) b)) (exp (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (exp (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (log (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (exp (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (* (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))))) (cbrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (pow (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 3) (sqrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (sqrt (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))) (+ (pow (pow a 2) 3) (pow (+ (* 2 (* a b)) (pow b 2)) 3)) (+ (* (+ (* 2 (* a b)) (pow b 2)) (- (+ (* 2 (* a b)) (pow b 2)) (pow a 2))) (pow a 4)) (+ (pow a 4) (neg (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))))) (- (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (* a (+ (* b 2) a)) (* b (+ b (* 2 a))) (* b (+ b (* 2 a))) (* b (+ b (* 2 a))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.534 * * * [progress]: adding candidates to table 0.582 * * [progress]: iteration 4 / 4 0.582 * * * [progress]: picking best candidate 0.585 * * * * [pick]: Picked # 0.585 * * * [progress]: localizing error 0.592 * * * [progress]: generating rewritten candidates 0.592 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.598 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.606 * * * [progress]: generating series expansions 0.606 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.606 * [approximate]: Taking taylor expansion of (* a (+ a (* 2 b))) in (a b) around 0 0.606 * [taylor]: Taking taylor expansion of (* a (+ a (* 2 b))) in b 0.606 * [taylor]: Taking taylor expansion of a in b 0.606 * [taylor]: Taking taylor expansion of (+ a (* 2 b)) in b 0.606 * [taylor]: Taking taylor expansion of a in b 0.606 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.607 * [taylor]: Taking taylor expansion of 2 in b 0.607 * [taylor]: Taking taylor expansion of b in b 0.607 * [taylor]: Taking taylor expansion of (* a (+ a (* 2 b))) in a 0.607 * [taylor]: Taking taylor expansion of a in a 0.607 * [taylor]: Taking taylor expansion of (+ a (* 2 b)) in a 0.607 * [taylor]: Taking taylor expansion of a in a 0.607 * [taylor]: Taking taylor expansion of (* 2 b) in a 0.607 * [taylor]: Taking taylor expansion of 2 in a 0.607 * [taylor]: Taking taylor expansion of b in a 0.607 * [taylor]: Taking taylor expansion of (* a (+ a (* 2 b))) in a 0.607 * [taylor]: Taking taylor expansion of a in a 0.607 * [taylor]: Taking taylor expansion of (+ a (* 2 b)) in a 0.607 * [taylor]: Taking taylor expansion of a in a 0.607 * [taylor]: Taking taylor expansion of (* 2 b) in a 0.607 * [taylor]: Taking taylor expansion of 2 in a 0.607 * [taylor]: Taking taylor expansion of b in a 0.607 * [taylor]: Taking taylor expansion of 0 in b 0.607 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.607 * [taylor]: Taking taylor expansion of 2 in b 0.607 * [taylor]: Taking taylor expansion of b in b 0.607 * [taylor]: Taking taylor expansion of 1 in b 0.607 * [taylor]: Taking taylor expansion of 0 in b 0.607 * [taylor]: Taking taylor expansion of 0 in b 0.608 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in (a b) around 0 0.608 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in b 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in b 0.608 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.608 * [taylor]: Taking taylor expansion of a in b 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.608 * [taylor]: Taking taylor expansion of 2 in b 0.608 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.608 * [taylor]: Taking taylor expansion of b in b 0.608 * [taylor]: Taking taylor expansion of a in b 0.608 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in a 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in a 0.608 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.608 * [taylor]: Taking taylor expansion of a in a 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in a 0.608 * [taylor]: Taking taylor expansion of 2 in a 0.608 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.608 * [taylor]: Taking taylor expansion of b in a 0.608 * [taylor]: Taking taylor expansion of a in a 0.608 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in a 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in a 0.608 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.608 * [taylor]: Taking taylor expansion of a in a 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in a 0.608 * [taylor]: Taking taylor expansion of 2 in a 0.608 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.608 * [taylor]: Taking taylor expansion of b in a 0.608 * [taylor]: Taking taylor expansion of a in a 0.608 * [taylor]: Taking taylor expansion of 1 in b 0.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.609 * [taylor]: Taking taylor expansion of 2 in b 0.609 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.609 * [taylor]: Taking taylor expansion of b in b 0.609 * [taylor]: Taking taylor expansion of 0 in b 0.609 * [taylor]: Taking taylor expansion of 0 in b 0.609 * [taylor]: Taking taylor expansion of 0 in b 0.610 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in (a b) around 0 0.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in b 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in b 0.610 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.610 * [taylor]: Taking taylor expansion of a in b 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.610 * [taylor]: Taking taylor expansion of 2 in b 0.610 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.610 * [taylor]: Taking taylor expansion of b in b 0.610 * [taylor]: Taking taylor expansion of a in b 0.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in a 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in a 0.610 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.610 * [taylor]: Taking taylor expansion of a in a 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in a 0.610 * [taylor]: Taking taylor expansion of 2 in a 0.610 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.610 * [taylor]: Taking taylor expansion of b in a 0.610 * [taylor]: Taking taylor expansion of a in a 0.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (* 2 (/ 1 b))) a) in a 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (* 2 (/ 1 b))) in a 0.610 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.610 * [taylor]: Taking taylor expansion of a in a 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in a 0.610 * [taylor]: Taking taylor expansion of 2 in a 0.610 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.610 * [taylor]: Taking taylor expansion of b in a 0.610 * [taylor]: Taking taylor expansion of a in a 0.610 * [taylor]: Taking taylor expansion of 1 in b 0.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.611 * [taylor]: Taking taylor expansion of 2 in b 0.611 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.611 * [taylor]: Taking taylor expansion of b in b 0.611 * [taylor]: Taking taylor expansion of 0 in b 0.611 * [taylor]: Taking taylor expansion of 0 in b 0.612 * [taylor]: Taking taylor expansion of 0 in b 0.612 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.612 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 0.612 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 0.612 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.612 * [taylor]: Taking taylor expansion of a in b 0.612 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 0.612 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 0.612 * [taylor]: Taking taylor expansion of 2 in b 0.612 * [taylor]: Taking taylor expansion of (* a b) in b 0.612 * [taylor]: Taking taylor expansion of a in b 0.612 * [taylor]: Taking taylor expansion of b in b 0.612 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.612 * [taylor]: Taking taylor expansion of b in b 0.612 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.612 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.612 * [taylor]: Taking taylor expansion of a in a 0.612 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.612 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.612 * [taylor]: Taking taylor expansion of 2 in a 0.612 * [taylor]: Taking taylor expansion of (* a b) in a 0.612 * [taylor]: Taking taylor expansion of a in a 0.612 * [taylor]: Taking taylor expansion of b in a 0.612 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.612 * [taylor]: Taking taylor expansion of b in a 0.612 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.612 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.612 * [taylor]: Taking taylor expansion of a in a 0.612 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.612 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.612 * [taylor]: Taking taylor expansion of 2 in a 0.612 * [taylor]: Taking taylor expansion of (* a b) in a 0.612 * [taylor]: Taking taylor expansion of a in a 0.612 * [taylor]: Taking taylor expansion of b in a 0.613 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.613 * [taylor]: Taking taylor expansion of b in a 0.613 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.613 * [taylor]: Taking taylor expansion of b in b 0.613 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.613 * [taylor]: Taking taylor expansion of 2 in b 0.613 * [taylor]: Taking taylor expansion of b in b 0.613 * [taylor]: Taking taylor expansion of 1 in b 0.614 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.614 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.614 * [taylor]: Taking taylor expansion of b in b 0.614 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.614 * [taylor]: Taking taylor expansion of 2 in b 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.614 * [taylor]: Taking taylor expansion of (* a b) in b 0.614 * [taylor]: Taking taylor expansion of a in b 0.614 * [taylor]: Taking taylor expansion of b in b 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.614 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.614 * [taylor]: Taking taylor expansion of a in b 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.614 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.614 * [taylor]: Taking taylor expansion of b in a 0.614 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.614 * [taylor]: Taking taylor expansion of 2 in a 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.614 * [taylor]: Taking taylor expansion of (* a b) in a 0.614 * [taylor]: Taking taylor expansion of a in a 0.614 * [taylor]: Taking taylor expansion of b in a 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.614 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.614 * [taylor]: Taking taylor expansion of a in a 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.614 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.614 * [taylor]: Taking taylor expansion of b in a 0.614 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.614 * [taylor]: Taking taylor expansion of 2 in a 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.615 * [taylor]: Taking taylor expansion of (* a b) in a 0.615 * [taylor]: Taking taylor expansion of a in a 0.615 * [taylor]: Taking taylor expansion of b in a 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.615 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.615 * [taylor]: Taking taylor expansion of a in a 0.615 * [taylor]: Taking taylor expansion of 1 in b 0.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.615 * [taylor]: Taking taylor expansion of 2 in b 0.615 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.615 * [taylor]: Taking taylor expansion of b in b 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.615 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.615 * [taylor]: Taking taylor expansion of b in b 0.616 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.616 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.616 * [taylor]: Taking taylor expansion of b in b 0.616 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.616 * [taylor]: Taking taylor expansion of 2 in b 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.616 * [taylor]: Taking taylor expansion of (* a b) in b 0.616 * [taylor]: Taking taylor expansion of a in b 0.616 * [taylor]: Taking taylor expansion of b in b 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.616 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.616 * [taylor]: Taking taylor expansion of a in b 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.616 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.616 * [taylor]: Taking taylor expansion of b in a 0.616 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.616 * [taylor]: Taking taylor expansion of 2 in a 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.616 * [taylor]: Taking taylor expansion of (* a b) in a 0.616 * [taylor]: Taking taylor expansion of a in a 0.616 * [taylor]: Taking taylor expansion of b in a 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.616 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.616 * [taylor]: Taking taylor expansion of a in a 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.617 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.617 * [taylor]: Taking taylor expansion of b in a 0.617 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.617 * [taylor]: Taking taylor expansion of 2 in a 0.617 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.617 * [taylor]: Taking taylor expansion of (* a b) in a 0.617 * [taylor]: Taking taylor expansion of a in a 0.617 * [taylor]: Taking taylor expansion of b in a 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.617 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.617 * [taylor]: Taking taylor expansion of a in a 0.617 * [taylor]: Taking taylor expansion of 1 in b 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.617 * [taylor]: Taking taylor expansion of 2 in b 0.617 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.617 * [taylor]: Taking taylor expansion of b in b 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.617 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.617 * [taylor]: Taking taylor expansion of b in b 0.618 * * * [progress]: simplifying candidates 0.618 * [simplify]: Simplifying using # : (* a (+ (* b 2) a)) (+ (log a) (log (+ (* b 2) a))) (log (* a (+ (* b 2) a))) (exp (* a (+ (* b 2) a))) (* (* (* a a) a) (* (* (+ (* b 2) a) (+ (* b 2) a)) (+ (* b 2) a))) (* (cbrt (* a (+ (* b 2) a))) (cbrt (* a (+ (* b 2) a)))) (cbrt (* a (+ (* b 2) a))) (* (* (* a (+ (* b 2) a)) (* a (+ (* b 2) a))) (* a (+ (* b 2) a))) (sqrt (* a (+ (* b 2) a))) (sqrt (* a (+ (* b 2) a))) (* (sqrt a) (sqrt (+ (* b 2) a))) (* (sqrt a) (sqrt (+ (* b 2) a))) (* a (* b 2)) (* a a) (* (* b 2) a) (* a a) (* a (* (cbrt (+ (* b 2) a)) (cbrt (+ (* b 2) a)))) (* a (sqrt (+ (* b 2) a))) (* a 1) (* (cbrt a) (+ (* b 2) a)) (* (sqrt a) (+ (* b 2) a)) (* a (+ (* b 2) a)) (* a (+ (pow (* b 2) 3) (pow a 3))) (* a (- (* (* b 2) (* b 2)) (* a a))) (* (exp (* a (+ (* b 2) a))) (exp (pow b 2))) (log (+ (* a (+ (* b 2) a)) (pow b 2))) (exp (+ (* a (+ (* b 2) a)) (pow b 2))) (* (cbrt (+ (* a (+ (* b 2) a)) (pow b 2))) (cbrt (+ (* a (+ (* b 2) a)) (pow b 2)))) (cbrt (+ (* a (+ (* b 2) a)) (pow b 2))) (* (* (+ (* a (+ (* b 2) a)) (pow b 2)) (+ (* a (+ (* b 2) a)) (pow b 2))) (+ (* a (+ (* b 2) a)) (pow b 2))) (sqrt (+ (* a (+ (* b 2) a)) (pow b 2))) (sqrt (+ (* a (+ (* b 2) a)) (pow b 2))) (+ (pow (* a (+ (* b 2) a)) 3) (pow (pow b 2) 3)) (+ (* (* a (+ (* b 2) a)) (* a (+ (* b 2) a))) (- (* (pow b 2) (pow b 2)) (* (* a (+ (* b 2) a)) (pow b 2)))) (- (* (* a (+ (* b 2) a)) (* a (+ (* b 2) a))) (* (pow b 2) (pow b 2))) (- (* a (+ (* b 2) a)) (pow b 2)) (+ (* a a) (pow b 2)) (+ (* a a) (pow b 2)) (+ (pow a 2) (* 2 (* a b))) (+ (pow a 2) (* 2 (* a b))) (+ (pow a 2) (* 2 (* a b))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.622 * * [simplify]: iteration 0 : 212 enodes (cost 233 ) 0.627 * * [simplify]: iteration 1 : 1062 enodes (cost 216 ) 0.653 * * [simplify]: iteration 2 : 5001 enodes (cost 216 ) 0.654 * [simplify]: Simplified to: (* a (+ (* b 2) a)) (log (* a (+ (* b 2) a))) (log (* a (+ (* b 2) a))) (exp (* a (+ (* b 2) a))) (pow (* a (+ (* b 2) a)) 3) (* (cbrt (* a (+ (* b 2) a))) (cbrt (* a (+ (* b 2) a)))) (cbrt (* a (+ (* b 2) a))) (pow (* a (+ (* b 2) a)) 3) (sqrt (* a (+ (* b 2) a))) (sqrt (* a (+ (* b 2) a))) (* (sqrt (+ (* b 2) a)) (pow a 1/2)) (* (sqrt (+ (* b 2) a)) (pow a 1/2)) (* a (* b 2)) (pow a 2) (* a (* b 2)) (pow a 2) (* a (* (cbrt (+ (* b 2) a)) (cbrt (+ (* b 2) a)))) (* a (sqrt (+ (* b 2) a))) a (* (cbrt a) (+ (* b 2) a)) (* (sqrt a) (+ (* b 2) a)) (* a (+ (* b 2) a)) (* a (+ (pow (* b 2) 3) (pow a 3))) (* a (- (* (* b 2) (* b 2)) (* a a))) (exp (+ (* a (+ (* b 2) a)) (pow b 2))) (log (+ (* a (+ (* b 2) a)) (pow b 2))) (exp (+ (* a (+ (* b 2) a)) (pow b 2))) (* (cbrt (+ (* a (+ (* b 2) a)) (pow b 2))) (cbrt (+ (* a (+ (* b 2) a)) (pow b 2)))) (cbrt (+ (* a (+ (* b 2) a)) (pow b 2))) (pow (+ (* a (+ (* b 2) a)) (pow b 2)) 3) (sqrt (+ (* a (+ (* b 2) a)) (pow b 2))) (sqrt (+ (* a (+ (* b 2) a)) (pow b 2))) (+ (pow (* a (+ (* b 2) a)) 3) (pow (pow b 2) 3)) (- (+ (* (* a (+ (* b 2) a)) (* a (+ (* b 2) a))) (pow b 4)) (* (* a (+ (* b 2) a)) (pow b 2))) (+ (* (* a (+ (* b 2) a)) (* a (+ (* b 2) a))) (neg (pow b 4))) (- (* a (+ (* b 2) a)) (pow b 2)) (+ (* a a) (pow b 2)) (+ (* a a) (pow b 2)) (* a (+ (* b 2) a)) (* a (+ (* b 2) a)) (* a (+ (* b 2) a)) (+ (* a (+ (* b 2) a)) (pow b 2)) (+ (* a (+ (* b 2) a)) (pow b 2)) (+ (* a (+ (* b 2) a)) (pow b 2)) 0.655 * * * [progress]: adding candidates to table 0.702 * [progress]: [Phase 3 of 3] Extracting. 0.702 * * [regime]: Finding splitpoints for: (# #) 0.703 * * * [regime-changes]: Trying 2 branch expressions: (b a) 0.703 * * * * [regimes]: Trying to branch on b from (# #) 0.732 * * * * [regimes]: Trying to branch on a from (# #) 0.763 * * * [regime]: Found split indices: #