41.932 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (* (+ a b) (+ a b)) 0.025 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (+ h1 h0)) 0.111 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.152 * [backup-simplify]: Simplify (* (+ a b) (+ a b)) into (pow (+ a b) 2) 0.153 * [approximate]: Taking taylor expansion of (pow (+ a b) 2) in (a b) around 0 0.153 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in b 0.153 * [taylor]: Taking taylor expansion of (+ a b) in b 0.153 * [taylor]: Taking taylor expansion of a in b 0.153 * [backup-simplify]: Simplify a into a 0.153 * [taylor]: Taking taylor expansion of b in b 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ a 0) into a 0.153 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.153 * [taylor]: Taking taylor expansion of (+ a b) in a 0.153 * [taylor]: Taking taylor expansion of a in a 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of b in a 0.153 * [backup-simplify]: Simplify b into b 0.153 * [backup-simplify]: Simplify (+ 0 b) into b 0.153 * [taylor]: Taking taylor expansion of (pow (+ a b) 2) in a 0.153 * [taylor]: Taking taylor expansion of (+ a b) in a 0.153 * [taylor]: Taking taylor expansion of a in a 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of b in a 0.153 * [backup-simplify]: Simplify b into b 0.153 * [backup-simplify]: Simplify (+ 0 b) into b 0.153 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.153 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.153 * [taylor]: Taking taylor expansion of b in b 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (+ (* b 1) (* 1 b)) into (* 2 b) 0.154 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.154 * [taylor]: Taking taylor expansion of 2 in b 0.154 * [backup-simplify]: Simplify 2 into 2 0.154 * [taylor]: Taking taylor expansion of b in b 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 2 0) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 b))) into 1 0.155 * [taylor]: Taking taylor expansion of 1 in b 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.155 * [backup-simplify]: Simplify 2 into 2 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.156 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.156 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.156 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.156 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.156 * [taylor]: Taking taylor expansion of b in b 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.156 * [taylor]: Taking taylor expansion of a in b 0.156 * [backup-simplify]: Simplify a into a 0.156 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.157 * [taylor]: Taking taylor expansion of b in a 0.157 * [backup-simplify]: Simplify b into b 0.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.157 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.157 * [taylor]: Taking taylor expansion of a in a 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (+ 0 1) into 1 0.157 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.157 * [taylor]: Taking taylor expansion of b in a 0.157 * [backup-simplify]: Simplify b into b 0.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.158 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.158 * [taylor]: Taking taylor expansion of a in a 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of 1 in b 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.159 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.159 * [taylor]: Taking taylor expansion of 2 in b 0.159 * [backup-simplify]: Simplify 2 into 2 0.159 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.159 * [taylor]: Taking taylor expansion of b in b 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.161 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.161 * [taylor]: Taking taylor expansion of b in b 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 2 1) into 2 0.162 * [backup-simplify]: Simplify 2 into 2 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.162 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (pow (+ (/ 1 b) (/ 1 a)) 2) 0.162 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in (a b) around 0 0.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in b 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.162 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.162 * [taylor]: Taking taylor expansion of b in b 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.163 * [taylor]: Taking taylor expansion of a in b 0.163 * [backup-simplify]: Simplify a into a 0.163 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.163 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.163 * [taylor]: Taking taylor expansion of b in a 0.163 * [backup-simplify]: Simplify b into b 0.163 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.163 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.163 * [taylor]: Taking taylor expansion of a in a 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 b) (/ 1 a)) 2) in a 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.164 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.164 * [taylor]: Taking taylor expansion of b in a 0.164 * [backup-simplify]: Simplify b into b 0.164 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.164 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.164 * [taylor]: Taking taylor expansion of a in a 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in b 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.165 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) 1)) into (* 2 (/ 1 b)) 0.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.165 * [taylor]: Taking taylor expansion of 2 in b 0.165 * [backup-simplify]: Simplify 2 into 2 0.165 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.165 * [taylor]: Taking taylor expansion of b in b 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 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 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 2 1) into 2 0.168 * [backup-simplify]: Simplify 2 into 2 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.168 * * * [progress]: simplifying candidates 0.169 * [simplify]: Simplifying: (+ 1 1) (* (+ a b) (+ a b)) (+ 1 1) (+ (log (+ a b)) (log (+ a b))) (log (* (+ a b) (+ a b))) (exp (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (* (+ a b) (+ a b))) (cbrt (* (+ a b) (+ a b)))) (cbrt (* (+ a b) (+ a b))) (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (sqrt (* (+ a b) (+ a b))) (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)) (* (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (+ a b)) (cbrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* 1 1) (* (+ a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (+ a b))) (* (sqrt (+ a b)) (sqrt (+ a b))) (* 2 1) (* (+ a b) a) (* (+ a b) b) (* a (+ a b)) (* b (+ a b)) (* (+ a b) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (+ a b) (sqrt (+ a b))) (* (+ a b) 1) (* (+ a b) 1) (* (cbrt (+ a b)) (+ a b)) (* (sqrt (+ a b)) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ a b)) (* (+ a b) (+ (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (+ a b)) (* (- (* a a) (* b b)) (+ a b)) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.169 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (+ 1 1) (+ (log (+ h1 h0)) (log (+ h1 h0))) (log (* (+ h1 h0) (+ h1 h0))) (exp (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (+ h1 h0) (+ h1 h0))) (cbrt (* (+ h1 h0) (+ h1 h0)))) (cbrt (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 2 1) (* (+ h1 h0) h1) (* (+ h1 h0) h0) (* h1 (+ h1 h0)) (* h0 (+ h1 h0)) (* (+ h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (sqrt (+ h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (+ h1 h0)) (* (sqrt (+ h1 h0)) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) 0.780 * * * [progress]: adding candidates to table 0.863 * * [progress]: iteration 2 / 4 0.863 * * * [progress]: picking best candidate 0.870 * * * * [pick]: Picked # 0.870 * * * [progress]: localizing error 0.883 * * * [progress]: generating rewritten candidates 0.883 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.919 * [backup-simplify]: Simplify (+ (* a (+ a b)) (* b (+ a b))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.919 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 0.919 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 0.919 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.919 * [taylor]: Taking taylor expansion of a in b 0.919 * [backup-simplify]: Simplify a into a 0.919 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 0.920 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 0.920 * [taylor]: Taking taylor expansion of 2 in b 0.920 * [backup-simplify]: Simplify 2 into 2 0.920 * [taylor]: Taking taylor expansion of (* a b) in b 0.920 * [taylor]: Taking taylor expansion of a in b 0.920 * [backup-simplify]: Simplify a into a 0.920 * [taylor]: Taking taylor expansion of b in b 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.920 * [taylor]: Taking taylor expansion of b in b 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.920 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.920 * [taylor]: Taking taylor expansion of a in a 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.920 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.920 * [taylor]: Taking taylor expansion of 2 in a 0.920 * [backup-simplify]: Simplify 2 into 2 0.920 * [taylor]: Taking taylor expansion of (* a b) in a 0.920 * [taylor]: Taking taylor expansion of a in a 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of b in a 0.920 * [backup-simplify]: Simplify b into b 0.920 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.920 * [taylor]: Taking taylor expansion of b in a 0.920 * [backup-simplify]: Simplify b into b 0.920 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 0.920 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.920 * [taylor]: Taking taylor expansion of a in a 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 0.921 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 0.921 * [taylor]: Taking taylor expansion of 2 in a 0.921 * [backup-simplify]: Simplify 2 into 2 0.921 * [taylor]: Taking taylor expansion of (* a b) in a 0.921 * [taylor]: Taking taylor expansion of a in a 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of b in a 0.921 * [backup-simplify]: Simplify b into b 0.921 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.921 * [taylor]: Taking taylor expansion of b in a 0.921 * [backup-simplify]: Simplify b into b 0.921 * [backup-simplify]: Simplify (* 0 b) into 0 0.922 * [backup-simplify]: Simplify (* 2 0) into 0 0.922 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.922 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.922 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 0.922 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.922 * [taylor]: Taking taylor expansion of b in b 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 0.923 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 0.923 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.923 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 0.923 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 0.923 * [taylor]: Taking taylor expansion of (* 2 b) in b 0.923 * [taylor]: Taking taylor expansion of 2 in b 0.923 * [backup-simplify]: Simplify 2 into 2 0.923 * [taylor]: Taking taylor expansion of b in b 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* 2 0) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 0.926 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ 1 0) into 1 0.927 * [taylor]: Taking taylor expansion of 1 in b 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.928 * [backup-simplify]: Simplify 2 into 2 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.929 * [backup-simplify]: Simplify (+ (* (/ 1 a) (+ (/ 1 a) (/ 1 b))) (* (/ 1 b) (+ (/ 1 a) (/ 1 b)))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 0.929 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.929 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.929 * [taylor]: Taking taylor expansion of b in b 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.930 * [taylor]: Taking taylor expansion of 2 in b 0.930 * [backup-simplify]: Simplify 2 into 2 0.930 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.930 * [taylor]: Taking taylor expansion of (* a b) in b 0.930 * [taylor]: Taking taylor expansion of a in b 0.930 * [backup-simplify]: Simplify a into a 0.930 * [taylor]: Taking taylor expansion of b in b 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* a 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.931 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.931 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.931 * [taylor]: Taking taylor expansion of a in b 0.931 * [backup-simplify]: Simplify a into a 0.931 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.931 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.931 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.931 * [taylor]: Taking taylor expansion of b in a 0.932 * [backup-simplify]: Simplify b into b 0.932 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.932 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.932 * [taylor]: Taking taylor expansion of 2 in a 0.932 * [backup-simplify]: Simplify 2 into 2 0.932 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.932 * [taylor]: Taking taylor expansion of (* a b) in a 0.932 * [taylor]: Taking taylor expansion of a in a 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of b in a 0.932 * [backup-simplify]: Simplify b into b 0.932 * [backup-simplify]: Simplify (* 0 b) into 0 0.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 0.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.933 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.933 * [taylor]: Taking taylor expansion of a in a 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1 1) into 1 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.933 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.933 * [taylor]: Taking taylor expansion of b in a 0.934 * [backup-simplify]: Simplify b into b 0.934 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.934 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.934 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.934 * [taylor]: Taking taylor expansion of 2 in a 0.934 * [backup-simplify]: Simplify 2 into 2 0.934 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.934 * [taylor]: Taking taylor expansion of (* a b) in a 0.934 * [taylor]: Taking taylor expansion of a in a 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of b in a 0.934 * [backup-simplify]: Simplify b into b 0.934 * [backup-simplify]: Simplify (* 0 b) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 0.935 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.935 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.935 * [taylor]: Taking taylor expansion of a in a 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [backup-simplify]: Simplify (+ 0 1) into 1 0.936 * [backup-simplify]: Simplify (+ 0 1) into 1 0.936 * [taylor]: Taking taylor expansion of 1 in b 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 0.938 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 0.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.938 * [taylor]: Taking taylor expansion of 2 in b 0.938 * [backup-simplify]: Simplify 2 into 2 0.938 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.938 * [taylor]: Taking taylor expansion of b in b 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.942 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.942 * [taylor]: Taking taylor expansion of b in b 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 2 1) into 2 0.943 * [backup-simplify]: Simplify 2 into 2 0.943 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.945 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- b)) (+ (/ 1 (- a)) (/ 1 (- b))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 0.945 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.945 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.945 * [taylor]: Taking taylor expansion of b in b 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (* 1 1) into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 0.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 0.946 * [taylor]: Taking taylor expansion of 2 in b 0.946 * [backup-simplify]: Simplify 2 into 2 0.946 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 0.946 * [taylor]: Taking taylor expansion of (* a b) in b 0.946 * [taylor]: Taking taylor expansion of a in b 0.946 * [backup-simplify]: Simplify a into a 0.946 * [taylor]: Taking taylor expansion of b in b 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (* a 0) into 0 0.946 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.946 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.946 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.946 * [taylor]: Taking taylor expansion of a in b 0.946 * [backup-simplify]: Simplify a into a 0.947 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.947 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.947 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.947 * [taylor]: Taking taylor expansion of b in a 0.947 * [backup-simplify]: Simplify b into b 0.947 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.947 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.947 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.947 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.947 * [taylor]: Taking taylor expansion of 2 in a 0.947 * [backup-simplify]: Simplify 2 into 2 0.947 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.947 * [taylor]: Taking taylor expansion of (* a b) in a 0.947 * [taylor]: Taking taylor expansion of a in a 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of b in a 0.948 * [backup-simplify]: Simplify b into b 0.948 * [backup-simplify]: Simplify (* 0 b) into 0 0.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 0.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.948 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.948 * [taylor]: Taking taylor expansion of a in a 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.949 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.949 * [taylor]: Taking taylor expansion of b in a 0.949 * [backup-simplify]: Simplify b into b 0.949 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.949 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.949 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 0.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 0.949 * [taylor]: Taking taylor expansion of 2 in a 0.949 * [backup-simplify]: Simplify 2 into 2 0.949 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 0.949 * [taylor]: Taking taylor expansion of (* a b) in a 0.949 * [taylor]: Taking taylor expansion of a in a 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [taylor]: Taking taylor expansion of b in a 0.950 * [backup-simplify]: Simplify b into b 0.950 * [backup-simplify]: Simplify (* 0 b) into 0 0.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 0.950 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.950 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.950 * [taylor]: Taking taylor expansion of a in a 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (* 1 1) into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify (+ 0 1) into 1 0.952 * [backup-simplify]: Simplify (+ 0 1) into 1 0.952 * [taylor]: Taking taylor expansion of 1 in b 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 0.953 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 0.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 0.953 * [taylor]: Taking taylor expansion of 2 in b 0.953 * [backup-simplify]: Simplify 2 into 2 0.953 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.953 * [taylor]: Taking taylor expansion of b in b 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.957 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.958 * [taylor]: Taking taylor expansion of b in b 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 2 1) into 2 0.959 * [backup-simplify]: Simplify 2 into 2 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 0.960 * * * [progress]: simplifying candidates 0.960 * [simplify]: Simplifying: (* (exp (* a (+ a b))) (exp (* b (+ a b)))) (log (+ (* a (+ a b)) (* b (+ a b)))) (exp (+ (* a (+ a b)) (* 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)))) (+ (* (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* b (+ (pow a 3) (pow b 3))))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (+ (* a a) (- (* b b) (* a b))) (- a b)) (+ (* (* a (- (* a a) (* b b))) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* b (+ (pow a 3) (pow b 3))))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))) (+ (* (* a (- (* a a) (* b b))) (- a b)) (* (- a b) (* b (- (* a a) (* b b))))) (* (- a b) (- a b)) (+ (pow (* a (+ a b)) 3) (pow (* b (+ a b)) 3)) (+ (* (* a (+ a b)) (* a (+ a b))) (- (* (* b (+ a b)) (* b (+ a b))) (* (* a (+ a b)) (* b (+ a b))))) (- (* (* a (+ a b)) (* a (+ a b))) (* (* b (+ a b)) (* b (+ a b)))) (- (* a (+ a b)) (* b (+ a b))) (+ a b) (+ (* a (+ a b)) (* b a)) (+ (* a (+ a b)) (* a b)) (+ (* a b) (* b (+ a b))) (+ (* b a) (* 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))) 0.961 * [simplify]: Sending expressions to egg_math: (* (exp (* h1 (+ h1 h0))) (exp (* h0 (+ h1 h0)))) (log (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (exp (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (* (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (- h1 h0)) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (- (* h1 h1) (* h0 h0))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (- h1 h0)) (* (- h1 h0) (* h0 (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)) (+ (pow (* h1 (+ h1 h0)) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (- (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ h1 h0) (+ (* h1 (+ h1 h0)) (* h0 h1)) (+ (* h1 (+ h1 h0)) (* h1 h0)) (+ (* h1 h0) (* h0 (+ h1 h0))) (+ (* h0 h1) (* h0 (+ h1 h0))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) 1.543 * * * [progress]: adding candidates to table 1.620 * * [progress]: iteration 3 / 4 1.620 * * * [progress]: picking best candidate 1.622 * * * * [pick]: Picked # 1.622 * * * [progress]: localizing error 1.636 * * * [progress]: generating rewritten candidates 1.636 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.647 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.670 * * * [progress]: generating series expansions 1.670 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.670 * [backup-simplify]: Simplify (+ (* a a) (* b (+ a (+ a b)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 1.670 * [approximate]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in (a b) around 0 1.670 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in b 1.671 * [taylor]: Taking taylor expansion of (pow a 2) in b 1.671 * [taylor]: Taking taylor expansion of a in b 1.671 * [backup-simplify]: Simplify a into a 1.671 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in b 1.671 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in b 1.671 * [taylor]: Taking taylor expansion of 2 in b 1.671 * [backup-simplify]: Simplify 2 into 2 1.671 * [taylor]: Taking taylor expansion of (* a b) in b 1.671 * [taylor]: Taking taylor expansion of a in b 1.671 * [backup-simplify]: Simplify a into a 1.671 * [taylor]: Taking taylor expansion of b in b 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.671 * [taylor]: Taking taylor expansion of b in b 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 1.671 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.671 * [taylor]: Taking taylor expansion of a in a 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 1.671 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 1.671 * [taylor]: Taking taylor expansion of 2 in a 1.671 * [backup-simplify]: Simplify 2 into 2 1.671 * [taylor]: Taking taylor expansion of (* a b) in a 1.671 * [taylor]: Taking taylor expansion of a in a 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of b in a 1.671 * [backup-simplify]: Simplify b into b 1.671 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.671 * [taylor]: Taking taylor expansion of b in a 1.671 * [backup-simplify]: Simplify b into b 1.671 * [taylor]: Taking taylor expansion of (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) in a 1.672 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.672 * [taylor]: Taking taylor expansion of a in a 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of (+ (* 2 (* a b)) (pow b 2)) in a 1.672 * [taylor]: Taking taylor expansion of (* 2 (* a b)) in a 1.672 * [taylor]: Taking taylor expansion of 2 in a 1.672 * [backup-simplify]: Simplify 2 into 2 1.672 * [taylor]: Taking taylor expansion of (* a b) in a 1.672 * [taylor]: Taking taylor expansion of a in a 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of b in a 1.672 * [backup-simplify]: Simplify b into b 1.672 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.672 * [taylor]: Taking taylor expansion of b in a 1.672 * [backup-simplify]: Simplify b into b 1.672 * [backup-simplify]: Simplify (* 0 b) into 0 1.673 * [backup-simplify]: Simplify (* 2 0) into 0 1.673 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.673 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 1.673 * [backup-simplify]: Simplify (+ 0 (pow b 2)) into (pow b 2) 1.673 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.673 * [taylor]: Taking taylor expansion of b in b 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 1.674 * [backup-simplify]: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) 1.674 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 1.674 * [backup-simplify]: Simplify (+ (* 2 b) 0) into (* 2 b) 1.674 * [backup-simplify]: Simplify (+ 0 (* 2 b)) into (* 2 b) 1.674 * [taylor]: Taking taylor expansion of (* 2 b) in b 1.674 * [taylor]: Taking taylor expansion of 2 in b 1.674 * [backup-simplify]: Simplify 2 into 2 1.674 * [taylor]: Taking taylor expansion of b in b 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* 2 0) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 1.676 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (+ 1 0) into 1 1.677 * [taylor]: Taking taylor expansion of 1 in b 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.677 * [backup-simplify]: Simplify 2 into 2 1.677 * [backup-simplify]: Simplify (* 1 1) into 1 1.677 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (+ (* 1 (pow (* b 1) 2)) (+ (* 2 (* b a)) (* 1 (pow (* 1 a) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 1.678 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (+ (/ 1 a) (/ 1 b))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 1.678 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 1.678 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.678 * [taylor]: Taking taylor expansion of b in b 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.679 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 1.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 1.679 * [taylor]: Taking taylor expansion of 2 in b 1.679 * [backup-simplify]: Simplify 2 into 2 1.679 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 1.679 * [taylor]: Taking taylor expansion of (* a b) in b 1.679 * [taylor]: Taking taylor expansion of a in b 1.679 * [backup-simplify]: Simplify a into a 1.679 * [taylor]: Taking taylor expansion of b in b 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* a 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 1.679 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 1.679 * [taylor]: Taking taylor expansion of (pow a 2) in b 1.679 * [taylor]: Taking taylor expansion of a in b 1.679 * [backup-simplify]: Simplify a into a 1.679 * [backup-simplify]: Simplify (* a a) into (pow a 2) 1.679 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 1.679 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.679 * [taylor]: Taking taylor expansion of b in a 1.679 * [backup-simplify]: Simplify b into b 1.680 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.680 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 1.680 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 1.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 1.680 * [taylor]: Taking taylor expansion of 2 in a 1.680 * [backup-simplify]: Simplify 2 into 2 1.680 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 1.680 * [taylor]: Taking taylor expansion of (* a b) in a 1.680 * [taylor]: Taking taylor expansion of a in a 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [taylor]: Taking taylor expansion of b in a 1.680 * [backup-simplify]: Simplify b into b 1.680 * [backup-simplify]: Simplify (* 0 b) into 0 1.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 1.680 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.680 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.680 * [taylor]: Taking taylor expansion of a in a 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 1.681 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.681 * [taylor]: Taking taylor expansion of b in a 1.681 * [backup-simplify]: Simplify b into b 1.681 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.681 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 1.681 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 1.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 1.681 * [taylor]: Taking taylor expansion of 2 in a 1.681 * [backup-simplify]: Simplify 2 into 2 1.681 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 1.681 * [taylor]: Taking taylor expansion of (* a b) in a 1.681 * [taylor]: Taking taylor expansion of a in a 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of b in a 1.681 * [backup-simplify]: Simplify b into b 1.681 * [backup-simplify]: Simplify (* 0 b) into 0 1.681 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 1.681 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.681 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.681 * [taylor]: Taking taylor expansion of a in a 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [backup-simplify]: Simplify (+ 0 1) into 1 1.682 * [backup-simplify]: Simplify (+ 0 1) into 1 1.683 * [taylor]: Taking taylor expansion of 1 in b 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 1.684 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 1.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 1.684 * [taylor]: Taking taylor expansion of 2 in b 1.684 * [backup-simplify]: Simplify 2 into 2 1.684 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.684 * [taylor]: Taking taylor expansion of b in b 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 1.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 1.686 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.686 * [taylor]: Taking taylor expansion of b in b 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (* 2 1) into 2 1.687 * [backup-simplify]: Simplify 2 into 2 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (+ (* 2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 1.688 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (+ (/ 1 (- a)) (+ (/ 1 (- a)) (/ 1 (- b)))))) into (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) 1.688 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in (a b) around 0 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in b 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 1.688 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.688 * [taylor]: Taking taylor expansion of b in b 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in b 1.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in b 1.688 * [taylor]: Taking taylor expansion of 2 in b 1.689 * [backup-simplify]: Simplify 2 into 2 1.689 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in b 1.689 * [taylor]: Taking taylor expansion of (* a b) in b 1.689 * [taylor]: Taking taylor expansion of a in b 1.689 * [backup-simplify]: Simplify a into a 1.689 * [taylor]: Taking taylor expansion of b in b 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* a 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 1.689 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 1.689 * [taylor]: Taking taylor expansion of (pow a 2) in b 1.689 * [taylor]: Taking taylor expansion of a in b 1.689 * [backup-simplify]: Simplify a into a 1.689 * [backup-simplify]: Simplify (* a a) into (pow a 2) 1.689 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 1.689 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.689 * [taylor]: Taking taylor expansion of b in a 1.689 * [backup-simplify]: Simplify b into b 1.689 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.689 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 1.689 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 1.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 1.689 * [taylor]: Taking taylor expansion of 2 in a 1.689 * [backup-simplify]: Simplify 2 into 2 1.689 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 1.689 * [taylor]: Taking taylor expansion of (* a b) in a 1.689 * [taylor]: Taking taylor expansion of a in a 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of b in a 1.690 * [backup-simplify]: Simplify b into b 1.690 * [backup-simplify]: Simplify (* 0 b) into 0 1.690 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 1.690 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.690 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.690 * [taylor]: Taking taylor expansion of a in a 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow b 2)) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2)))) in a 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 1.690 * [taylor]: Taking taylor expansion of (pow b 2) in a 1.691 * [taylor]: Taking taylor expansion of b in a 1.691 * [backup-simplify]: Simplify b into b 1.691 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.691 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 1.691 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* a b))) (/ 1 (pow a 2))) in a 1.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* a b))) in a 1.691 * [taylor]: Taking taylor expansion of 2 in a 1.691 * [backup-simplify]: Simplify 2 into 2 1.691 * [taylor]: Taking taylor expansion of (/ 1 (* a b)) in a 1.691 * [taylor]: Taking taylor expansion of (* a b) in a 1.691 * [taylor]: Taking taylor expansion of a in a 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of b in a 1.691 * [backup-simplify]: Simplify b into b 1.691 * [backup-simplify]: Simplify (* 0 b) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 1.691 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 1.691 * [taylor]: Taking taylor expansion of (pow a 2) in a 1.691 * [taylor]: Taking taylor expansion of a in a 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (+ 0 1) into 1 1.692 * [backup-simplify]: Simplify (+ 0 1) into 1 1.692 * [taylor]: Taking taylor expansion of 1 in b 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 2 (/ 1 b)) into (/ 2 b) 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ (/ 2 b) 0) into (* 2 (/ 1 b)) 1.693 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 b))) into (* 2 (/ 1 b)) 1.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 1.693 * [taylor]: Taking taylor expansion of 2 in b 1.693 * [backup-simplify]: Simplify 2 into 2 1.693 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.693 * [taylor]: Taking taylor expansion of b in b 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 1.696 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.696 * [taylor]: Taking taylor expansion of b in b 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (* 2 1) into 2 1.697 * [backup-simplify]: Simplify 2 into 2 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2)))) into (+ (pow a 2) (+ (* 2 (* a b)) (pow b 2))) 1.697 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.697 * [backup-simplify]: Simplify (+ a (+ a b)) into (+ (* 2 a) b) 1.697 * [approximate]: Taking taylor expansion of (+ (* 2 a) b) in (a b) around 0 1.697 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in b 1.697 * [taylor]: Taking taylor expansion of (* 2 a) in b 1.697 * [taylor]: Taking taylor expansion of 2 in b 1.697 * [backup-simplify]: Simplify 2 into 2 1.697 * [taylor]: Taking taylor expansion of a in b 1.698 * [backup-simplify]: Simplify a into a 1.698 * [taylor]: Taking taylor expansion of b in b 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in a 1.698 * [taylor]: Taking taylor expansion of (* 2 a) in a 1.698 * [taylor]: Taking taylor expansion of 2 in a 1.698 * [backup-simplify]: Simplify 2 into 2 1.698 * [taylor]: Taking taylor expansion of a in a 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of b in a 1.698 * [backup-simplify]: Simplify b into b 1.698 * [taylor]: Taking taylor expansion of (+ (* 2 a) b) in a 1.698 * [taylor]: Taking taylor expansion of (* 2 a) in a 1.698 * [taylor]: Taking taylor expansion of 2 in a 1.698 * [backup-simplify]: Simplify 2 into 2 1.698 * [taylor]: Taking taylor expansion of a in a 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of b in a 1.698 * [backup-simplify]: Simplify b into b 1.698 * [backup-simplify]: Simplify (* 2 0) into 0 1.698 * [backup-simplify]: Simplify (+ 0 b) into b 1.698 * [taylor]: Taking taylor expansion of b in b 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.699 * [backup-simplify]: Simplify (+ 2 0) into 2 1.699 * [taylor]: Taking taylor expansion of 2 in b 1.699 * [backup-simplify]: Simplify 2 into 2 1.699 * [backup-simplify]: Simplify 2 into 2 1.699 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [taylor]: Taking taylor expansion of 0 in b 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [taylor]: Taking taylor expansion of 0 in b 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 (* b 1)) (* 2 (* 1 a))) into (+ (* 2 a) b) 1.701 * [backup-simplify]: Simplify (+ (/ 1 a) (+ (/ 1 a) (/ 1 b))) into (+ (/ 1 b) (* 2 (/ 1 a))) 1.701 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in (a b) around 0 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 1.701 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.701 * [taylor]: Taking taylor expansion of b in b 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 1.702 * [taylor]: Taking taylor expansion of 2 in b 1.702 * [backup-simplify]: Simplify 2 into 2 1.702 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.702 * [taylor]: Taking taylor expansion of a in b 1.702 * [backup-simplify]: Simplify a into a 1.702 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 1.702 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.702 * [taylor]: Taking taylor expansion of b in a 1.702 * [backup-simplify]: Simplify b into b 1.702 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 1.702 * [taylor]: Taking taylor expansion of 2 in a 1.702 * [backup-simplify]: Simplify 2 into 2 1.702 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.702 * [taylor]: Taking taylor expansion of a in a 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 1.702 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.702 * [taylor]: Taking taylor expansion of b in a 1.702 * [backup-simplify]: Simplify b into b 1.702 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 1.702 * [taylor]: Taking taylor expansion of 2 in a 1.702 * [backup-simplify]: Simplify 2 into 2 1.702 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.703 * [taylor]: Taking taylor expansion of a in a 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (* 2 1) into 2 1.703 * [backup-simplify]: Simplify (+ 0 2) into 2 1.703 * [taylor]: Taking taylor expansion of 2 in b 1.703 * [backup-simplify]: Simplify 2 into 2 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.704 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.704 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.704 * [taylor]: Taking taylor expansion of b in b 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (/ 1 1) into 1 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify 2 into 2 1.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in b 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in b 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in b 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 a)))) (* 1 (* (/ 1 (/ 1 b)) 1))) into (+ (* 2 a) b) 1.711 * [backup-simplify]: Simplify (+ (/ 1 (- a)) (+ (/ 1 (- a)) (/ 1 (- b)))) into (- (+ (/ 1 b) (* 2 (/ 1 a)))) 1.711 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (* 2 (/ 1 a)))) in (a b) around 0 1.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (* 2 (/ 1 a)))) in b 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in b 1.711 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.711 * [taylor]: Taking taylor expansion of b in b 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in b 1.711 * [taylor]: Taking taylor expansion of 2 in b 1.711 * [backup-simplify]: Simplify 2 into 2 1.711 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.711 * [taylor]: Taking taylor expansion of a in b 1.711 * [backup-simplify]: Simplify a into a 1.711 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (* 2 (/ 1 a)))) in a 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 1.711 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.711 * [taylor]: Taking taylor expansion of b in a 1.711 * [backup-simplify]: Simplify b into b 1.712 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 1.712 * [taylor]: Taking taylor expansion of 2 in a 1.712 * [backup-simplify]: Simplify 2 into 2 1.712 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.712 * [taylor]: Taking taylor expansion of a in a 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (* 2 (/ 1 a)))) in a 1.712 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (* 2 (/ 1 a))) in a 1.712 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.712 * [taylor]: Taking taylor expansion of b in a 1.712 * [backup-simplify]: Simplify b into b 1.712 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 1.712 * [taylor]: Taking taylor expansion of 2 in a 1.712 * [backup-simplify]: Simplify 2 into 2 1.712 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.712 * [taylor]: Taking taylor expansion of a in a 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [backup-simplify]: Simplify (* 2 1) into 2 1.713 * [backup-simplify]: Simplify (+ 0 2) into 2 1.713 * [backup-simplify]: Simplify (- 2) into -2 1.713 * [taylor]: Taking taylor expansion of -2 in b 1.713 * [backup-simplify]: Simplify -2 into -2 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.714 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.714 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 1.714 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.714 * [taylor]: Taking taylor expansion of b in b 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [backup-simplify]: Simplify (- 1) into -1 1.715 * [backup-simplify]: Simplify -1 into -1 1.715 * [backup-simplify]: Simplify -2 into -2 1.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.716 * [taylor]: Taking taylor expansion of 0 in b 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [taylor]: Taking taylor expansion of 0 in b 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (- 0) into 0 1.722 * [taylor]: Taking taylor expansion of 0 in b 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- a))))) (* -1 (* (/ 1 (/ 1 (- b))) 1))) into (+ (* 2 a) b) 1.722 * * * [progress]: simplifying candidates 1.722 * [simplify]: Simplifying: (* (exp (* a a)) (exp (* b (+ a (+ a b))))) (log (+ (* a a) (* b (+ a (+ a b))))) (exp (+ (* a a) (* b (+ a (+ a b))))) (* (cbrt (+ (* a a) (* b (+ a (+ a b))))) (cbrt (+ (* a a) (* b (+ a (+ a b)))))) (cbrt (+ (* a a) (* b (+ a (+ a b))))) (* (* (+ (* a a) (* b (+ a (+ a b)))) (+ (* a a) (* b (+ a (+ a b))))) (+ (* a a) (* b (+ a (+ a b))))) (sqrt (+ (* a a) (* b (+ a (+ a b))))) (sqrt (+ (* a a) (* b (+ a (+ a b))))) (+ (pow (* a a) 3) (pow (* b (+ a (+ a b))) 3)) (+ (* (* a a) (* a a)) (- (* (* b (+ a (+ a b))) (* b (+ a (+ a b)))) (* (* a a) (* b (+ a (+ a b)))))) (- (* (* a a) (* a a)) (* (* b (+ a (+ a b))) (* b (+ a (+ a b))))) (- (* a a) (* b (+ a (+ a b)))) (+ (* a a) (* b a)) (+ (* a a) (* a b)) (* (exp a) (* (exp a) (exp b))) (* (exp a) (exp (+ a b))) (log (+ a (+ a b))) (exp (+ a (+ a b))) (* (cbrt (+ a (+ a b))) (cbrt (+ a (+ a b)))) (cbrt (+ a (+ a b))) (* (* (+ a (+ a b)) (+ a (+ a b))) (+ a (+ a b))) (sqrt (+ a (+ a b))) (sqrt (+ a (+ a b))) (+ (pow a 3) (pow (+ a b) 3)) (+ (* a a) (- (* (+ a b) (+ a b)) (* a (+ a b)))) (- (* a a) (* (+ a b) (+ a b))) (- a (+ a b)) (+ a (+ a b)) (+ a (+ a b)) (+ a 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))) (+ (* 2 a) b) (+ (* 2 a) b) (+ (* 2 a) b) 1.723 * [simplify]: Sending expressions to egg_math: (* (exp (* h1 h1)) (exp (* h0 (+ h1 (+ h1 h0))))) (log (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (exp (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (* (cbrt (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (cbrt (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0)))))) (cbrt (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (* (* (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0)))) (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (sqrt (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (sqrt (+ (* h1 h1) (* h0 (+ h1 (+ h1 h0))))) (+ (pow (* h1 h1) 3) (pow (* h0 (+ h1 (+ h1 h0))) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 (+ h1 (+ h1 h0))) (* h0 (+ h1 (+ h1 h0)))) (* (* h1 h1) (* h0 (+ h1 (+ h1 h0)))))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 (+ h1 (+ h1 h0))) (* h0 (+ h1 (+ h1 h0))))) (- (* h1 h1) (* h0 (+ h1 (+ h1 h0)))) (+ (* h1 h1) (* h0 h1)) (+ (* h1 h1) (* h1 h0)) (* (exp h1) (* (exp h1) (exp h0))) (* (exp h1) (exp (+ h1 h0))) (log (+ h1 (+ h1 h0))) (exp (+ h1 (+ h1 h0))) (* (cbrt (+ h1 (+ h1 h0))) (cbrt (+ h1 (+ h1 h0)))) (cbrt (+ h1 (+ h1 h0))) (* (* (+ h1 (+ h1 h0)) (+ h1 (+ h1 h0))) (+ h1 (+ h1 h0))) (sqrt (+ h1 (+ h1 h0))) (sqrt (+ h1 (+ h1 h0))) (+ (pow h1 3) (pow (+ h1 h0) 3)) (+ (* h1 h1) (- (* (+ h1 h0) (+ h1 h0)) (* h1 (+ h1 h0)))) (- (* h1 h1) (* (+ h1 h0) (+ h1 h0))) (- h1 (+ h1 h0)) (+ h1 (+ h1 h0)) (+ h1 (+ h1 h0)) (+ h1 h1) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (pow h1 2) (+ (* 2 (* h1 h0)) (pow h0 2))) (+ (* 2 h1) h0) (+ (* 2 h1) h0) (+ (* 2 h1) h0) 2.245 * * * [progress]: adding candidates to table 2.347 * [progress]: [Phase 3 of 3] Extracting. 2.347 * * [regime]: Finding splitpoints for: (# #) 2.347 * * * [regime-changes]: Trying 2 branch expressions: (b a) 2.347 * * * * [regimes]: Trying to branch on b from (# #) 2.367 * * * * [regimes]: Trying to branch on a from (# #) 2.385 * * * [regime]: Found split indices: #