48.541 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.046 * * * [progress]: [2/2] Setting up program.
0.055 * [progress]: [Phase 2 of 3] Improving.
0.055 * [simplify]: Simplifying:
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.055 * * [simplify]: iteration 0: 11 enodes
0.059 * * [simplify]: iteration 1: 15 enodes
0.063 * * [simplify]: iteration complete: 15 enodes
0.063 * * [simplify]: Extracting #0: cost 1 inf + 0
0.063 * * [simplify]: Extracting #1: cost 3 inf + 0
0.063 * * [simplify]: Extracting #2: cost 7 inf + 0
0.063 * * [simplify]: Extracting #3: cost 11 inf + 0
0.064 * * [simplify]: Extracting #4: cost 3 inf + 250
0.064 * * [simplify]: Extracting #5: cost 0 inf + 700
0.064 * [simplify]: Simplified to:
  (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
0.065 * * [progress]: iteration 1 / 4
0.066 * * * [progress]: picking best candidate
0.074 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
0.074 * * * [progress]: localizing error
0.119 * * * [progress]: generating rewritten candidates
0.119 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.149 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.157 * * * [progress]: generating series expansions
0.157 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.157 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
0.157 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0
0.157 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
0.157 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.157 * [taylor]: Taking taylor expansion of (* a c) in d
0.157 * [taylor]: Taking taylor expansion of a in d
0.157 * [backup-simplify]: Simplify a into a
0.157 * [taylor]: Taking taylor expansion of c in d
0.157 * [backup-simplify]: Simplify c into c
0.157 * [taylor]: Taking taylor expansion of (* b d) in d
0.157 * [taylor]: Taking taylor expansion of b in d
0.157 * [backup-simplify]: Simplify b into b
0.157 * [taylor]: Taking taylor expansion of d in d
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.157 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.157 * [taylor]: Taking taylor expansion of c in d
0.157 * [backup-simplify]: Simplify c into c
0.157 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.157 * [taylor]: Taking taylor expansion of d in d
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (* a c) into (* a c)
0.157 * [backup-simplify]: Simplify (* b 0) into 0
0.157 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.157 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.158 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.158 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
0.158 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
0.158 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.158 * [taylor]: Taking taylor expansion of (* a c) in b
0.158 * [taylor]: Taking taylor expansion of a in b
0.158 * [backup-simplify]: Simplify a into a
0.158 * [taylor]: Taking taylor expansion of c in b
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (* b d) in b
0.158 * [taylor]: Taking taylor expansion of b in b
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [taylor]: Taking taylor expansion of d in b
0.158 * [backup-simplify]: Simplify d into d
0.158 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
0.158 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.158 * [taylor]: Taking taylor expansion of c in b
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.158 * [taylor]: Taking taylor expansion of d in b
0.158 * [backup-simplify]: Simplify d into d
0.158 * [backup-simplify]: Simplify (* a c) into (* a c)
0.158 * [backup-simplify]: Simplify (* 0 d) into 0
0.158 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.158 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.158 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.158 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.158 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
0.158 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c
0.158 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.159 * [taylor]: Taking taylor expansion of (* a c) in c
0.159 * [taylor]: Taking taylor expansion of a in c
0.159 * [backup-simplify]: Simplify a into a
0.159 * [taylor]: Taking taylor expansion of c in c
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of (* b d) in c
0.159 * [taylor]: Taking taylor expansion of b in c
0.159 * [backup-simplify]: Simplify b into b
0.159 * [taylor]: Taking taylor expansion of d in c
0.159 * [backup-simplify]: Simplify d into d
0.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.159 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.159 * [taylor]: Taking taylor expansion of c in c
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.159 * [taylor]: Taking taylor expansion of d in c
0.159 * [backup-simplify]: Simplify d into d
0.159 * [backup-simplify]: Simplify (* a 0) into 0
0.159 * [backup-simplify]: Simplify (* b d) into (* b d)
0.159 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.159 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.159 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.159 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.159 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
0.159 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.159 * [taylor]: Taking taylor expansion of (* a c) in a
0.159 * [taylor]: Taking taylor expansion of a in a
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of c in a
0.159 * [backup-simplify]: Simplify c into c
0.159 * [taylor]: Taking taylor expansion of (* b d) in a
0.159 * [taylor]: Taking taylor expansion of b in a
0.159 * [backup-simplify]: Simplify b into b
0.159 * [taylor]: Taking taylor expansion of d in a
0.159 * [backup-simplify]: Simplify d into d
0.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
0.159 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.159 * [taylor]: Taking taylor expansion of c in a
0.159 * [backup-simplify]: Simplify c into c
0.159 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.159 * [taylor]: Taking taylor expansion of d in a
0.159 * [backup-simplify]: Simplify d into d
0.159 * [backup-simplify]: Simplify (* 0 c) into 0
0.159 * [backup-simplify]: Simplify (* b d) into (* b d)
0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.160 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.160 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.160 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.160 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
0.160 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
0.160 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.160 * [taylor]: Taking taylor expansion of (* a c) in a
0.160 * [taylor]: Taking taylor expansion of a in a
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [taylor]: Taking taylor expansion of c in a
0.160 * [backup-simplify]: Simplify c into c
0.160 * [taylor]: Taking taylor expansion of (* b d) in a
0.160 * [taylor]: Taking taylor expansion of b in a
0.160 * [backup-simplify]: Simplify b into b
0.160 * [taylor]: Taking taylor expansion of d in a
0.160 * [backup-simplify]: Simplify d into d
0.160 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
0.160 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.160 * [taylor]: Taking taylor expansion of c in a
0.160 * [backup-simplify]: Simplify c into c
0.160 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.160 * [taylor]: Taking taylor expansion of d in a
0.160 * [backup-simplify]: Simplify d into d
0.160 * [backup-simplify]: Simplify (* 0 c) into 0
0.160 * [backup-simplify]: Simplify (* b d) into (* b d)
0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.160 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.160 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.161 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.161 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
0.161 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c
0.161 * [taylor]: Taking taylor expansion of (* b d) in c
0.161 * [taylor]: Taking taylor expansion of b in c
0.161 * [backup-simplify]: Simplify b into b
0.161 * [taylor]: Taking taylor expansion of d in c
0.161 * [backup-simplify]: Simplify d into d
0.161 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.161 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.161 * [taylor]: Taking taylor expansion of c in c
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.161 * [taylor]: Taking taylor expansion of d in c
0.161 * [backup-simplify]: Simplify d into d
0.161 * [backup-simplify]: Simplify (* b d) into (* b d)
0.161 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.161 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.161 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.161 * [taylor]: Taking taylor expansion of (/ b d) 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 * [taylor]: Taking taylor expansion of d in b
0.161 * [backup-simplify]: Simplify d into d
0.161 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.162 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.162 * [backup-simplify]: Simplify (+ c 0) into c
0.162 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.162 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2)))
0.163 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c
0.163 * [taylor]: Taking taylor expansion of c in c
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.163 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.163 * [taylor]: Taking taylor expansion of c in c
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.163 * [taylor]: Taking taylor expansion of d in c
0.163 * [backup-simplify]: Simplify d into d
0.163 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.163 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.163 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.164 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in b
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [taylor]: Taking taylor expansion of 0 in d
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.164 * [taylor]: Taking taylor expansion of d in d
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.166 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.167 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in c
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in b
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in d
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.168 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.168 * [taylor]: Taking taylor expansion of d in b
0.168 * [backup-simplify]: Simplify d into d
0.168 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.168 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.168 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.168 * [taylor]: Taking taylor expansion of d in d
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.173 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3)))
0.174 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b
0.174 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b
0.174 * [taylor]: Taking taylor expansion of b in b
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [taylor]: Taking taylor expansion of (pow d 3) in b
0.174 * [taylor]: Taking taylor expansion of d in b
0.174 * [backup-simplify]: Simplify d into d
0.174 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.174 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3)
0.174 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
0.174 * [taylor]: Taking taylor expansion of 0 in d
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0
0.175 * [taylor]: Taking taylor expansion of 0 in d
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.175 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0
0.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.175 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.175 * [taylor]: Taking taylor expansion of (* b d) in d
0.175 * [taylor]: Taking taylor expansion of b in d
0.175 * [backup-simplify]: Simplify b into b
0.176 * [taylor]: Taking taylor expansion of d in d
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* b 0) into 0
0.176 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.176 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.176 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.176 * [taylor]: Taking taylor expansion of (* a c) in d
0.176 * [taylor]: Taking taylor expansion of a in d
0.176 * [backup-simplify]: Simplify a into a
0.176 * [taylor]: Taking taylor expansion of c in d
0.176 * [backup-simplify]: Simplify c into c
0.176 * [backup-simplify]: Simplify (* a c) into (* a c)
0.177 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.177 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.177 * [taylor]: Taking taylor expansion of c in d
0.177 * [backup-simplify]: Simplify c into c
0.177 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.177 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.177 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.177 * [taylor]: Taking taylor expansion of d in d
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* 1 1) into 1
0.178 * [backup-simplify]: Simplify (/ 1 1) into 1
0.178 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.179 * [backup-simplify]: Simplify (+ 0 1) into 1
0.179 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.179 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.179 * [taylor]: Taking taylor expansion of (* b d) in b
0.179 * [taylor]: Taking taylor expansion of b in b
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [taylor]: Taking taylor expansion of d in b
0.179 * [backup-simplify]: Simplify d into d
0.179 * [backup-simplify]: Simplify (* 0 d) into 0
0.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.180 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.180 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.180 * [taylor]: Taking taylor expansion of (* a c) in b
0.180 * [taylor]: Taking taylor expansion of a in b
0.180 * [backup-simplify]: Simplify a into a
0.180 * [taylor]: Taking taylor expansion of c in b
0.180 * [backup-simplify]: Simplify c into c
0.180 * [backup-simplify]: Simplify (* a c) into (* a c)
0.180 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.180 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.180 * [taylor]: Taking taylor expansion of c in b
0.180 * [backup-simplify]: Simplify c into c
0.180 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.180 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.180 * [taylor]: Taking taylor expansion of d in b
0.180 * [backup-simplify]: Simplify d into d
0.180 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.181 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.181 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.181 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.181 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.181 * [taylor]: Taking taylor expansion of (* b d) in c
0.181 * [taylor]: Taking taylor expansion of b in c
0.181 * [backup-simplify]: Simplify b into b
0.181 * [taylor]: Taking taylor expansion of d in c
0.181 * [backup-simplify]: Simplify d into d
0.181 * [backup-simplify]: Simplify (* b d) into (* b d)
0.182 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.182 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.182 * [taylor]: Taking taylor expansion of (* a c) in c
0.182 * [taylor]: Taking taylor expansion of a in c
0.182 * [backup-simplify]: Simplify a into a
0.182 * [taylor]: Taking taylor expansion of c in c
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* a 0) into 0
0.182 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.182 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.182 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.182 * [taylor]: Taking taylor expansion of c in c
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.183 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.183 * [taylor]: Taking taylor expansion of d in c
0.183 * [backup-simplify]: Simplify d into d
0.183 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.183 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.184 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.184 * [backup-simplify]: Simplify (+ 1 0) into 1
0.184 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.184 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.184 * [taylor]: Taking taylor expansion of (* b d) in a
0.184 * [taylor]: Taking taylor expansion of b in a
0.184 * [backup-simplify]: Simplify b into b
0.184 * [taylor]: Taking taylor expansion of d in a
0.184 * [backup-simplify]: Simplify d into d
0.184 * [backup-simplify]: Simplify (* b d) into (* b d)
0.184 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.184 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.184 * [taylor]: Taking taylor expansion of (* a c) in a
0.184 * [taylor]: Taking taylor expansion of a in a
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of c in a
0.184 * [backup-simplify]: Simplify c into c
0.185 * [backup-simplify]: Simplify (* 0 c) into 0
0.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.185 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.185 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.185 * [taylor]: Taking taylor expansion of c in a
0.185 * [backup-simplify]: Simplify c into c
0.185 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.185 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.185 * [taylor]: Taking taylor expansion of d in a
0.185 * [backup-simplify]: Simplify d into d
0.186 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.186 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.186 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.186 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.186 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.186 * [taylor]: Taking taylor expansion of (* b d) in a
0.186 * [taylor]: Taking taylor expansion of b in a
0.186 * [backup-simplify]: Simplify b into b
0.186 * [taylor]: Taking taylor expansion of d in a
0.187 * [backup-simplify]: Simplify d into d
0.187 * [backup-simplify]: Simplify (* b d) into (* b d)
0.187 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.187 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.187 * [taylor]: Taking taylor expansion of (* a c) in a
0.187 * [taylor]: Taking taylor expansion of a in a
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of c in a
0.187 * [backup-simplify]: Simplify c into c
0.187 * [backup-simplify]: Simplify (* 0 c) into 0
0.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.187 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.188 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.188 * [taylor]: Taking taylor expansion of c in a
0.188 * [backup-simplify]: Simplify c into c
0.188 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.188 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.188 * [taylor]: Taking taylor expansion of d in a
0.188 * [backup-simplify]: Simplify d into d
0.188 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.188 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.189 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.189 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.189 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.189 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.189 * [taylor]: Taking taylor expansion of c in c
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.190 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.190 * [taylor]: Taking taylor expansion of d in c
0.190 * [backup-simplify]: Simplify d into d
0.190 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.190 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.190 * [taylor]: Taking taylor expansion of c in c
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (+ 1 0) into 1
0.191 * [backup-simplify]: Simplify (* 1 0) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.194 * [backup-simplify]: Simplify (/ 1 1) into 1
0.194 * [taylor]: Taking taylor expansion of 1 in b
0.194 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.195 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.195 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.195 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.197 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.197 * [taylor]: Taking taylor expansion of b in c
0.197 * [backup-simplify]: Simplify b into b
0.197 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.197 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.197 * [taylor]: Taking taylor expansion of c in c
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* 1 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.198 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.198 * [taylor]: Taking taylor expansion of d in c
0.198 * [backup-simplify]: Simplify d into d
0.198 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.198 * [taylor]: Taking taylor expansion of d in c
0.198 * [backup-simplify]: Simplify d into d
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.199 * [backup-simplify]: Simplify (* 1 d) into d
0.199 * [backup-simplify]: Simplify (* b d) into (* b d)
0.199 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [taylor]: Taking taylor expansion of 0 in b
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [taylor]: Taking taylor expansion of 1 in d
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.214 * [taylor]: Taking taylor expansion of 0 in c
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of 0 in b
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.214 * [taylor]: Taking taylor expansion of (* b d) in b
0.214 * [taylor]: Taking taylor expansion of b in b
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [taylor]: Taking taylor expansion of d in b
0.214 * [backup-simplify]: Simplify d into d
0.214 * [backup-simplify]: Simplify (* 0 d) into 0
0.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.215 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.215 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.215 * [taylor]: Taking taylor expansion of d in d
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ 1 1) into 1
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.219 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.219 * [taylor]: Taking taylor expansion of d in b
0.219 * [backup-simplify]: Simplify d into d
0.219 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.219 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.219 * [taylor]: Taking taylor expansion of 0 in d
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [taylor]: Taking taylor expansion of 0 in d
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.223 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.224 * [taylor]: Taking taylor expansion of 0 in c
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [taylor]: Taking taylor expansion of 0 in b
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [taylor]: Taking taylor expansion of 0 in b
0.224 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.226 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.226 * [taylor]: Taking taylor expansion of 0 in b
0.226 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.230 * [taylor]: Taking taylor expansion of 0 in b
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [taylor]: Taking taylor expansion of 0 in d
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.231 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0
0.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.231 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.231 * [taylor]: Taking taylor expansion of (* b d) in d
0.231 * [taylor]: Taking taylor expansion of b in d
0.231 * [backup-simplify]: Simplify b into b
0.231 * [taylor]: Taking taylor expansion of d in d
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* b 0) into 0
0.231 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.231 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.231 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.231 * [taylor]: Taking taylor expansion of (* a c) in d
0.231 * [taylor]: Taking taylor expansion of a in d
0.231 * [backup-simplify]: Simplify a into a
0.231 * [taylor]: Taking taylor expansion of c in d
0.231 * [backup-simplify]: Simplify c into c
0.231 * [backup-simplify]: Simplify (* a c) into (* a c)
0.231 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.232 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.232 * [taylor]: Taking taylor expansion of c in d
0.232 * [backup-simplify]: Simplify c into c
0.232 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.232 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.232 * [taylor]: Taking taylor expansion of d in d
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.233 * [backup-simplify]: Simplify (+ 0 1) into 1
0.233 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.233 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.233 * [taylor]: Taking taylor expansion of (* b d) in b
0.233 * [taylor]: Taking taylor expansion of b in b
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of d in b
0.233 * [backup-simplify]: Simplify d into d
0.233 * [backup-simplify]: Simplify (* 0 d) into 0
0.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.233 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.233 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.233 * [taylor]: Taking taylor expansion of (* a c) in b
0.233 * [taylor]: Taking taylor expansion of a in b
0.233 * [backup-simplify]: Simplify a into a
0.233 * [taylor]: Taking taylor expansion of c in b
0.233 * [backup-simplify]: Simplify c into c
0.233 * [backup-simplify]: Simplify (* a c) into (* a c)
0.233 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.233 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.233 * [taylor]: Taking taylor expansion of c in b
0.233 * [backup-simplify]: Simplify c into c
0.233 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.234 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.234 * [taylor]: Taking taylor expansion of d in b
0.234 * [backup-simplify]: Simplify d into d
0.234 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.234 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.234 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.234 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.234 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.234 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.234 * [taylor]: Taking taylor expansion of (* b d) in c
0.234 * [taylor]: Taking taylor expansion of b in c
0.234 * [backup-simplify]: Simplify b into b
0.234 * [taylor]: Taking taylor expansion of d in c
0.234 * [backup-simplify]: Simplify d into d
0.234 * [backup-simplify]: Simplify (* b d) into (* b d)
0.234 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.234 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.234 * [taylor]: Taking taylor expansion of (* a c) in c
0.234 * [taylor]: Taking taylor expansion of a in c
0.234 * [backup-simplify]: Simplify a into a
0.234 * [taylor]: Taking taylor expansion of c in c
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* a 0) into 0
0.235 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.235 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.235 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.235 * [taylor]: Taking taylor expansion of c in c
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.235 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.235 * [taylor]: Taking taylor expansion of d in c
0.235 * [backup-simplify]: Simplify d into d
0.235 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.236 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.236 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.236 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.236 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.236 * [taylor]: Taking taylor expansion of (* b d) in a
0.236 * [taylor]: Taking taylor expansion of b in a
0.236 * [backup-simplify]: Simplify b into b
0.236 * [taylor]: Taking taylor expansion of d in a
0.236 * [backup-simplify]: Simplify d into d
0.236 * [backup-simplify]: Simplify (* b d) into (* b d)
0.236 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.236 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.236 * [taylor]: Taking taylor expansion of (* a c) in a
0.236 * [taylor]: Taking taylor expansion of a in a
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of c in a
0.236 * [backup-simplify]: Simplify c into c
0.236 * [backup-simplify]: Simplify (* 0 c) into 0
0.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.237 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.237 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.237 * [taylor]: Taking taylor expansion of c in a
0.237 * [backup-simplify]: Simplify c into c
0.237 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.237 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.237 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.237 * [taylor]: Taking taylor expansion of d in a
0.237 * [backup-simplify]: Simplify d into d
0.237 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.237 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.237 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.237 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.237 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.237 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.237 * [taylor]: Taking taylor expansion of (* b d) in a
0.238 * [taylor]: Taking taylor expansion of b in a
0.238 * [backup-simplify]: Simplify b into b
0.238 * [taylor]: Taking taylor expansion of d in a
0.238 * [backup-simplify]: Simplify d into d
0.238 * [backup-simplify]: Simplify (* b d) into (* b d)
0.238 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.238 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.238 * [taylor]: Taking taylor expansion of (* a c) in a
0.238 * [taylor]: Taking taylor expansion of a in a
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [taylor]: Taking taylor expansion of c in a
0.238 * [backup-simplify]: Simplify c into c
0.238 * [backup-simplify]: Simplify (* 0 c) into 0
0.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.238 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.238 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.238 * [taylor]: Taking taylor expansion of c in a
0.238 * [backup-simplify]: Simplify c into c
0.238 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.238 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.238 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.238 * [taylor]: Taking taylor expansion of d in a
0.238 * [backup-simplify]: Simplify d into d
0.238 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.238 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.239 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.239 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.239 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.239 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.239 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.239 * [taylor]: Taking taylor expansion of c in c
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.240 * [backup-simplify]: Simplify (/ 1 1) into 1
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.240 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.240 * [taylor]: Taking taylor expansion of d in c
0.240 * [backup-simplify]: Simplify d into d
0.240 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.240 * [taylor]: Taking taylor expansion of c in c
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (+ 1 0) into 1
0.240 * [backup-simplify]: Simplify (* 1 0) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of 1 in b
0.242 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.243 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.243 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.243 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))
0.244 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.244 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.244 * [taylor]: Taking taylor expansion of b in c
0.244 * [backup-simplify]: Simplify b into b
0.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.244 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.244 * [taylor]: Taking taylor expansion of c in c
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (* 1 1) into 1
0.245 * [backup-simplify]: Simplify (/ 1 1) into 1
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.245 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.245 * [taylor]: Taking taylor expansion of d in c
0.245 * [backup-simplify]: Simplify d into d
0.245 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.245 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.245 * [taylor]: Taking taylor expansion of d in c
0.245 * [backup-simplify]: Simplify d into d
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [backup-simplify]: Simplify (* 1 d) into d
0.245 * [backup-simplify]: Simplify (* b d) into (* b d)
0.245 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [taylor]: Taking taylor expansion of 0 in b
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 1 in d
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in c
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [taylor]: Taking taylor expansion of 0 in b
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.252 * [taylor]: Taking taylor expansion of (* b d) in b
0.252 * [taylor]: Taking taylor expansion of b in b
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of d in b
0.252 * [backup-simplify]: Simplify d into d
0.252 * [backup-simplify]: Simplify (* 0 d) into 0
0.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.253 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.253 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.253 * [taylor]: Taking taylor expansion of d in d
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.260 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.260 * [taylor]: Taking taylor expansion of d in b
0.260 * [backup-simplify]: Simplify d into d
0.260 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.260 * [taylor]: Taking taylor expansion of 0 in d
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 0 into 0
0.261 * [taylor]: Taking taylor expansion of 0 in d
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.266 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in c
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [taylor]: Taking taylor expansion of 0 in b
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [taylor]: Taking taylor expansion of 0 in b
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.271 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.272 * [taylor]: Taking taylor expansion of 0 in b
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in b
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [taylor]: Taking taylor expansion of 0 in d
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.278 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
0.278 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.278 * [taylor]: Taking taylor expansion of (* a c) in d
0.278 * [taylor]: Taking taylor expansion of a in d
0.278 * [backup-simplify]: Simplify a into a
0.278 * [taylor]: Taking taylor expansion of c in d
0.278 * [backup-simplify]: Simplify c into c
0.278 * [taylor]: Taking taylor expansion of (* b d) in d
0.278 * [taylor]: Taking taylor expansion of b in d
0.278 * [backup-simplify]: Simplify b into b
0.278 * [taylor]: Taking taylor expansion of d in d
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.278 * [taylor]: Taking taylor expansion of (* a c) in b
0.278 * [taylor]: Taking taylor expansion of a in b
0.278 * [backup-simplify]: Simplify a into a
0.278 * [taylor]: Taking taylor expansion of c in b
0.278 * [backup-simplify]: Simplify c into c
0.278 * [taylor]: Taking taylor expansion of (* b d) in b
0.278 * [taylor]: Taking taylor expansion of b in b
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of d in b
0.279 * [backup-simplify]: Simplify d into d
0.279 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.279 * [taylor]: Taking taylor expansion of (* a c) in c
0.279 * [taylor]: Taking taylor expansion of a in c
0.279 * [backup-simplify]: Simplify a into a
0.279 * [taylor]: Taking taylor expansion of c in c
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (* b d) in c
0.279 * [taylor]: Taking taylor expansion of b in c
0.279 * [backup-simplify]: Simplify b into b
0.279 * [taylor]: Taking taylor expansion of d in c
0.279 * [backup-simplify]: Simplify d into d
0.279 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.279 * [taylor]: Taking taylor expansion of (* a c) in a
0.279 * [taylor]: Taking taylor expansion of a in a
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of c in a
0.279 * [backup-simplify]: Simplify c into c
0.279 * [taylor]: Taking taylor expansion of (* b d) in a
0.279 * [taylor]: Taking taylor expansion of b in a
0.279 * [backup-simplify]: Simplify b into b
0.279 * [taylor]: Taking taylor expansion of d in a
0.279 * [backup-simplify]: Simplify d into d
0.279 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.279 * [taylor]: Taking taylor expansion of (* a c) in a
0.279 * [taylor]: Taking taylor expansion of a in a
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of c in a
0.280 * [backup-simplify]: Simplify c into c
0.280 * [taylor]: Taking taylor expansion of (* b d) in a
0.280 * [taylor]: Taking taylor expansion of b in a
0.280 * [backup-simplify]: Simplify b into b
0.280 * [taylor]: Taking taylor expansion of d in a
0.280 * [backup-simplify]: Simplify d into d
0.280 * [backup-simplify]: Simplify (* 0 c) into 0
0.280 * [backup-simplify]: Simplify (* b d) into (* b d)
0.280 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.280 * [taylor]: Taking taylor expansion of (* b d) in c
0.280 * [taylor]: Taking taylor expansion of b in c
0.280 * [backup-simplify]: Simplify b into b
0.280 * [taylor]: Taking taylor expansion of d in c
0.280 * [backup-simplify]: Simplify d into d
0.280 * [backup-simplify]: Simplify (* b d) into (* b d)
0.280 * [taylor]: Taking taylor expansion of (* b d) in b
0.280 * [taylor]: Taking taylor expansion of b in b
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of d in b
0.280 * [backup-simplify]: Simplify d into d
0.280 * [backup-simplify]: Simplify (* 0 d) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in d
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.281 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.281 * [backup-simplify]: Simplify (+ c 0) into c
0.281 * [taylor]: Taking taylor expansion of c in c
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of 0 in b
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [taylor]: Taking taylor expansion of 0 in d
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.282 * [taylor]: Taking taylor expansion of 0 in b
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [taylor]: Taking taylor expansion of 0 in d
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.282 * [taylor]: Taking taylor expansion of d in d
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.283 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in c
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [taylor]: Taking taylor expansion of 0 in b
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [taylor]: Taking taylor expansion of 0 in d
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.284 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.284 * [taylor]: Taking taylor expansion of (* b d) in d
0.284 * [taylor]: Taking taylor expansion of b in d
0.284 * [backup-simplify]: Simplify b into b
0.284 * [taylor]: Taking taylor expansion of d in d
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* b 0) into 0
0.285 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.285 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.285 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.285 * [taylor]: Taking taylor expansion of (* a c) in d
0.285 * [taylor]: Taking taylor expansion of a in d
0.285 * [backup-simplify]: Simplify a into a
0.285 * [taylor]: Taking taylor expansion of c in d
0.285 * [backup-simplify]: Simplify c into c
0.285 * [backup-simplify]: Simplify (* a c) into (* a c)
0.285 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.285 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.285 * [taylor]: Taking taylor expansion of (* b d) in b
0.285 * [taylor]: Taking taylor expansion of b in b
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [taylor]: Taking taylor expansion of d in b
0.286 * [backup-simplify]: Simplify d into d
0.286 * [backup-simplify]: Simplify (* 0 d) into 0
0.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.286 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.286 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.286 * [taylor]: Taking taylor expansion of (* a c) in b
0.286 * [taylor]: Taking taylor expansion of a in b
0.286 * [backup-simplify]: Simplify a into a
0.286 * [taylor]: Taking taylor expansion of c in b
0.286 * [backup-simplify]: Simplify c into c
0.286 * [backup-simplify]: Simplify (* a c) into (* a c)
0.286 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.287 * [taylor]: Taking taylor expansion of (* b d) in c
0.287 * [taylor]: Taking taylor expansion of b in c
0.287 * [backup-simplify]: Simplify b into b
0.287 * [taylor]: Taking taylor expansion of d in c
0.287 * [backup-simplify]: Simplify d into d
0.287 * [backup-simplify]: Simplify (* b d) into (* b d)
0.287 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.287 * [taylor]: Taking taylor expansion of (* a c) in c
0.287 * [taylor]: Taking taylor expansion of a in c
0.287 * [backup-simplify]: Simplify a into a
0.287 * [taylor]: Taking taylor expansion of c in c
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* a 0) into 0
0.288 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.288 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.288 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.288 * [taylor]: Taking taylor expansion of (* b d) in a
0.288 * [taylor]: Taking taylor expansion of b in a
0.288 * [backup-simplify]: Simplify b into b
0.288 * [taylor]: Taking taylor expansion of d in a
0.288 * [backup-simplify]: Simplify d into d
0.288 * [backup-simplify]: Simplify (* b d) into (* b d)
0.288 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.288 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.288 * [taylor]: Taking taylor expansion of (* a c) in a
0.288 * [taylor]: Taking taylor expansion of a in a
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of c in a
0.288 * [backup-simplify]: Simplify c into c
0.288 * [backup-simplify]: Simplify (* 0 c) into 0
0.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.289 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.289 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.289 * [taylor]: Taking taylor expansion of (* b d) in a
0.289 * [taylor]: Taking taylor expansion of b in a
0.289 * [backup-simplify]: Simplify b into b
0.289 * [taylor]: Taking taylor expansion of d in a
0.289 * [backup-simplify]: Simplify d into d
0.289 * [backup-simplify]: Simplify (* b d) into (* b d)
0.289 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.289 * [taylor]: Taking taylor expansion of (* a c) in a
0.289 * [taylor]: Taking taylor expansion of a in a
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of c in a
0.289 * [backup-simplify]: Simplify c into c
0.289 * [backup-simplify]: Simplify (* 0 c) into 0
0.290 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.290 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.290 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.290 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.290 * [taylor]: Taking taylor expansion of c in c
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of 1 in b
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.292 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.292 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.292 * [taylor]: Taking taylor expansion of (* b d) in c
0.292 * [taylor]: Taking taylor expansion of b in c
0.292 * [backup-simplify]: Simplify b into b
0.292 * [taylor]: Taking taylor expansion of d in c
0.292 * [backup-simplify]: Simplify d into d
0.292 * [backup-simplify]: Simplify (* b d) into (* b d)
0.292 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in b
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [taylor]: Taking taylor expansion of 1 in d
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [taylor]: Taking taylor expansion of 0 in c
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.295 * [taylor]: Taking taylor expansion of (* b d) in b
0.295 * [taylor]: Taking taylor expansion of b in b
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of d in b
0.295 * [backup-simplify]: Simplify d into d
0.295 * [backup-simplify]: Simplify (* 0 d) into 0
0.296 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.296 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.296 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.296 * [taylor]: Taking taylor expansion of d in d
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in b
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in d
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in d
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in c
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [taylor]: Taking taylor expansion of 0 in b
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in b
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in b
0.302 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in c
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in b
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in b
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in b
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in b
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [taylor]: Taking taylor expansion of 0 in d
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [taylor]: Taking taylor expansion of 0 in d
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [taylor]: Taking taylor expansion of 0 in d
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in d
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [taylor]: Taking taylor expansion of 0 in d
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [taylor]: Taking taylor expansion of 0 in d
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [taylor]: Taking taylor expansion of 0 in d
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d))
0.313 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.313 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.313 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.313 * [taylor]: Taking taylor expansion of (* b d) in d
0.313 * [taylor]: Taking taylor expansion of b in d
0.313 * [backup-simplify]: Simplify b into b
0.313 * [taylor]: Taking taylor expansion of d in d
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* b 0) into 0
0.314 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.314 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.314 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.314 * [taylor]: Taking taylor expansion of (* a c) in d
0.314 * [taylor]: Taking taylor expansion of a in d
0.314 * [backup-simplify]: Simplify a into a
0.314 * [taylor]: Taking taylor expansion of c in d
0.314 * [backup-simplify]: Simplify c into c
0.314 * [backup-simplify]: Simplify (* a c) into (* a c)
0.314 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.314 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.314 * [taylor]: Taking taylor expansion of (* b d) in b
0.314 * [taylor]: Taking taylor expansion of b in b
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [taylor]: Taking taylor expansion of d in b
0.314 * [backup-simplify]: Simplify d into d
0.314 * [backup-simplify]: Simplify (* 0 d) into 0
0.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.315 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.315 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.315 * [taylor]: Taking taylor expansion of (* a c) in b
0.315 * [taylor]: Taking taylor expansion of a in b
0.315 * [backup-simplify]: Simplify a into a
0.315 * [taylor]: Taking taylor expansion of c in b
0.315 * [backup-simplify]: Simplify c into c
0.315 * [backup-simplify]: Simplify (* a c) into (* a c)
0.315 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.315 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.315 * [taylor]: Taking taylor expansion of (* b d) in c
0.315 * [taylor]: Taking taylor expansion of b in c
0.315 * [backup-simplify]: Simplify b into b
0.315 * [taylor]: Taking taylor expansion of d in c
0.316 * [backup-simplify]: Simplify d into d
0.316 * [backup-simplify]: Simplify (* b d) into (* b d)
0.316 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.316 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.316 * [taylor]: Taking taylor expansion of (* a c) in c
0.316 * [taylor]: Taking taylor expansion of a in c
0.316 * [backup-simplify]: Simplify a into a
0.316 * [taylor]: Taking taylor expansion of c in c
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* a 0) into 0
0.316 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.316 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.316 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.317 * [taylor]: Taking taylor expansion of (* b d) in a
0.317 * [taylor]: Taking taylor expansion of b in a
0.317 * [backup-simplify]: Simplify b into b
0.317 * [taylor]: Taking taylor expansion of d in a
0.317 * [backup-simplify]: Simplify d into d
0.317 * [backup-simplify]: Simplify (* b d) into (* b d)
0.317 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.317 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.317 * [taylor]: Taking taylor expansion of (* a c) in a
0.317 * [taylor]: Taking taylor expansion of a in a
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [taylor]: Taking taylor expansion of c in a
0.317 * [backup-simplify]: Simplify c into c
0.317 * [backup-simplify]: Simplify (* 0 c) into 0
0.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.318 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.318 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.318 * [taylor]: Taking taylor expansion of (* b d) in a
0.318 * [taylor]: Taking taylor expansion of b in a
0.318 * [backup-simplify]: Simplify b into b
0.318 * [taylor]: Taking taylor expansion of d in a
0.318 * [backup-simplify]: Simplify d into d
0.318 * [backup-simplify]: Simplify (* b d) into (* b d)
0.318 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.318 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.318 * [taylor]: Taking taylor expansion of (* a c) in a
0.318 * [taylor]: Taking taylor expansion of a in a
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [taylor]: Taking taylor expansion of c in a
0.318 * [backup-simplify]: Simplify c into c
0.318 * [backup-simplify]: Simplify (* 0 c) into 0
0.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.319 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.319 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.319 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.319 * [taylor]: Taking taylor expansion of c in c
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [taylor]: Taking taylor expansion of 1 in b
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.321 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.321 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.321 * [taylor]: Taking taylor expansion of (* b d) in c
0.321 * [taylor]: Taking taylor expansion of b in c
0.321 * [backup-simplify]: Simplify b into b
0.321 * [taylor]: Taking taylor expansion of d in c
0.321 * [backup-simplify]: Simplify d into d
0.321 * [backup-simplify]: Simplify (* b d) into (* b d)
0.321 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in b
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [taylor]: Taking taylor expansion of 1 in d
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in c
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.324 * [taylor]: Taking taylor expansion of (* b d) in b
0.324 * [taylor]: Taking taylor expansion of b in b
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [taylor]: Taking taylor expansion of d in b
0.324 * [backup-simplify]: Simplify d into d
0.324 * [backup-simplify]: Simplify (* 0 d) into 0
0.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.325 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.325 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.325 * [taylor]: Taking taylor expansion of d in d
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [taylor]: Taking taylor expansion of 0 in b
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in d
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in d
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in c
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [taylor]: Taking taylor expansion of 0 in b
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in b
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in b
0.332 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.333 * [taylor]: Taking taylor expansion of 0 in d
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [taylor]: Taking taylor expansion of 0 in d
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [taylor]: Taking taylor expansion of 0 in d
0.333 * [backup-simplify]: Simplify 0 into 0
0.334 * [taylor]: Taking taylor expansion of 0 in d
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in c
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in b
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in b
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in b
0.340 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in b
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in d
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in d
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in d
0.343 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in d
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [taylor]: Taking taylor expansion of 0 in d
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [taylor]: Taking taylor expansion of 0 in d
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [taylor]: Taking taylor expansion of 0 in d
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d))
0.346 * * * [progress]: simplifying candidates
0.348 * [simplify]: Simplifying:
  (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
  (* (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
  (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (* (* (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (- (+ (* a c) (* b d)))
  (- (+ (* c c) (* d d)))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
  (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) 1)
  (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 1)
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ 1 (+ (* c c) (* d d)))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) 1)
  (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d))))
  (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3)))
  (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (* (+ (* c c) (* d d)) (- (* a c) (* b d)))
  (* (exp (* a c)) (exp (* b d)))
  (log (+ (* a c) (* b d)))
  (exp (+ (* a c) (* b d)))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (cbrt (+ (* a c) (* b d)))
  (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (pow (* a c) 3) (pow (* b d) 3))
  (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))
  (- (* (* a c) (* a c)) (* (* b d) (* b d)))
  (- (* a c) (* b d))
  0
  0
  0
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
0.350 * * [simplify]: iteration 0: 83 enodes
0.381 * * [simplify]: iteration 1: 235 enodes
0.470 * * [simplify]: iteration 2: 777 enodes
0.885 * * [simplify]: iteration 3: 2527 enodes
1.554 * * [simplify]: iteration complete: 5002 enodes
1.554 * * [simplify]: Extracting #0: cost 44 inf + 0
1.555 * * [simplify]: Extracting #1: cost 251 inf + 2
1.557 * * [simplify]: Extracting #2: cost 901 inf + 44
1.569 * * [simplify]: Extracting #3: cost 1342 inf + 2642
1.592 * * [simplify]: Extracting #4: cost 998 inf + 97939
1.658 * * [simplify]: Extracting #5: cost 324 inf + 296184
1.773 * * [simplify]: Extracting #6: cost 37 inf + 395173
1.894 * * [simplify]: Extracting #7: cost 6 inf + 403048
2.001 * * [simplify]: Extracting #8: cost 0 inf + 404806
2.106 * [simplify]: Simplified to:
  (log (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (log (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (exp (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (* (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (* (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))
  (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (* (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
  (- (* (- d) b) (* a c))
  (- (+ (* c c) (* d d)))
  (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))
  (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
  (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
  (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
  (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
  (sqrt (+ (* b d) (* a c)))
  (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
  (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
  (/ 1 (+ (* c c) (* d d)))
  (/ (+ (* c c) (* d d)) (+ (* b d) (* a c)))
  (/ (+ (* b d) (* a c)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
  (+ (* b d) (* a c))
  (/ (+ (* c c) (* d d)) (cbrt (+ (* b d) (* a c))))
  (/ (+ (* c c) (* d d)) (sqrt (+ (* b d) (* a c))))
  (/ (+ (* c c) (* d d)) (+ (* b d) (* a c)))
  (/ (+ (* b d) (* a c)) (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) c) (* (* c c) c))))
  (/ (+ (* b d) (* a c)) (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (* (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))) (+ (* c c) (* d d)))
  (* (- (* a c) (* b d)) (+ (* c c) (* d d)))
  (exp (+ (* b d) (* a c)))
  (log (+ (* b d) (* a c)))
  (exp (+ (* b d) (* a c)))
  (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
  (cbrt (+ (* b d) (* a c)))
  (* (+ (* b d) (* a c)) (* (+ (* b d) (* a c)) (+ (* b d) (* a c))))
  (sqrt (+ (* b d) (* a c)))
  (sqrt (+ (* b d) (* a c)))
  (+ (* (* (* a c) (* a c)) (* a c)) (* (* (* b d) (* b d)) (* b d)))
  (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c))))
  (* (- (* a c) (* b d)) (+ (* b d) (* a c)))
  (- (* a c) (* b d))
  0
  0
  0
  0
  (+ (* b d) (* a c))
  (+ (* b d) (* a c))
2.109 * * * [progress]: adding candidates to table
2.448 * * [progress]: iteration 2 / 4
2.448 * * * [progress]: picking best candidate
2.500 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
2.500 * * * [progress]: localizing error
2.530 * * * [progress]: generating rewritten candidates
2.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.543 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.555 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.612 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.629 * * * [progress]: generating series expansions
2.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.629 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
2.629 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
2.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
2.629 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.630 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.630 * [taylor]: Taking taylor expansion of c in d
2.630 * [backup-simplify]: Simplify c into c
2.630 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.630 * [taylor]: Taking taylor expansion of d in d
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.630 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.630 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
2.630 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
2.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.631 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.631 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.631 * [taylor]: Taking taylor expansion of c in c
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.631 * [taylor]: Taking taylor expansion of d in c
2.631 * [backup-simplify]: Simplify d into d
2.631 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.632 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.632 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.632 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.632 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.632 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.632 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.633 * [taylor]: Taking taylor expansion of c in c
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.633 * [taylor]: Taking taylor expansion of d in c
2.633 * [backup-simplify]: Simplify d into d
2.633 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.633 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.633 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.633 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.634 * [backup-simplify]: Simplify (+ 0 0) into 0
2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.634 * [taylor]: Taking taylor expansion of d in d
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in d
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (* 1 1) into 1
2.635 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.635 * [backup-simplify]: Simplify (+ 1 0) into 1
2.636 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
2.636 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
2.636 * [taylor]: Taking taylor expansion of 1/2 in d
2.636 * [backup-simplify]: Simplify 1/2 into 1/2
2.636 * [taylor]: Taking taylor expansion of d in d
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.639 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
2.640 * [taylor]: Taking taylor expansion of 0 in d
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
2.641 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.642 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.642 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.642 * [taylor]: Taking taylor expansion of c in d
2.642 * [backup-simplify]: Simplify c into c
2.642 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.642 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.642 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.642 * [taylor]: Taking taylor expansion of d in d
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 1 into 1
2.642 * [backup-simplify]: Simplify (* 1 1) into 1
2.643 * [backup-simplify]: Simplify (/ 1 1) into 1
2.643 * [backup-simplify]: Simplify (+ 0 1) into 1
2.644 * [backup-simplify]: Simplify (sqrt 1) into 1
2.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.646 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.646 * [taylor]: Taking taylor expansion of c in c
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.647 * [backup-simplify]: Simplify (* 1 1) into 1
2.647 * [backup-simplify]: Simplify (/ 1 1) into 1
2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.647 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.647 * [taylor]: Taking taylor expansion of d in c
2.647 * [backup-simplify]: Simplify d into d
2.647 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.648 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.648 * [backup-simplify]: Simplify (+ 1 0) into 1
2.648 * [backup-simplify]: Simplify (sqrt 1) into 1
2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.650 * [backup-simplify]: Simplify (+ 0 0) into 0
2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.651 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.651 * [taylor]: Taking taylor expansion of c in c
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.651 * [backup-simplify]: Simplify (* 1 1) into 1
2.652 * [backup-simplify]: Simplify (/ 1 1) into 1
2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.652 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.652 * [taylor]: Taking taylor expansion of d in c
2.652 * [backup-simplify]: Simplify d into d
2.652 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.652 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.653 * [backup-simplify]: Simplify (+ 1 0) into 1
2.653 * [backup-simplify]: Simplify (sqrt 1) into 1
2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.655 * [backup-simplify]: Simplify (+ 0 0) into 0
2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.655 * [taylor]: Taking taylor expansion of 1 in d
2.656 * [backup-simplify]: Simplify 1 into 1
2.656 * [taylor]: Taking taylor expansion of 0 in d
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.659 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.659 * [taylor]: Taking taylor expansion of 1/2 in d
2.659 * [backup-simplify]: Simplify 1/2 into 1/2
2.659 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.659 * [taylor]: Taking taylor expansion of d in d
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (* 1 1) into 1
2.660 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.665 * [taylor]: Taking taylor expansion of 0 in d
2.665 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
2.667 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.667 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.667 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.668 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.668 * [taylor]: Taking taylor expansion of c in d
2.668 * [backup-simplify]: Simplify c into c
2.668 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.668 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.668 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.668 * [taylor]: Taking taylor expansion of d in d
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 1 into 1
2.668 * [backup-simplify]: Simplify (* 1 1) into 1
2.669 * [backup-simplify]: Simplify (/ 1 1) into 1
2.669 * [backup-simplify]: Simplify (+ 0 1) into 1
2.669 * [backup-simplify]: Simplify (sqrt 1) into 1
2.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (+ 0 0) into 0
2.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.672 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.672 * [taylor]: Taking taylor expansion of c in c
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 1 into 1
2.672 * [backup-simplify]: Simplify (* 1 1) into 1
2.673 * [backup-simplify]: Simplify (/ 1 1) into 1
2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.673 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.673 * [taylor]: Taking taylor expansion of d in c
2.673 * [backup-simplify]: Simplify d into d
2.673 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.673 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.673 * [backup-simplify]: Simplify (+ 1 0) into 1
2.674 * [backup-simplify]: Simplify (sqrt 1) into 1
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.676 * [backup-simplify]: Simplify (+ 0 0) into 0
2.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.676 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.676 * [taylor]: Taking taylor expansion of c in c
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.677 * [backup-simplify]: Simplify (* 1 1) into 1
2.677 * [backup-simplify]: Simplify (/ 1 1) into 1
2.677 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.677 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.677 * [taylor]: Taking taylor expansion of d in c
2.677 * [backup-simplify]: Simplify d into d
2.677 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.677 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.678 * [backup-simplify]: Simplify (+ 1 0) into 1
2.678 * [backup-simplify]: Simplify (sqrt 1) into 1
2.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.681 * [taylor]: Taking taylor expansion of 1 in d
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [taylor]: Taking taylor expansion of 0 in d
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.683 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.684 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.684 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.684 * [taylor]: Taking taylor expansion of 1/2 in d
2.684 * [backup-simplify]: Simplify 1/2 into 1/2
2.684 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.685 * [taylor]: Taking taylor expansion of d in d
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (* 1 1) into 1
2.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.690 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.690 * [taylor]: Taking taylor expansion of 0 in d
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.692 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
2.693 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.693 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
2.693 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
2.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
2.693 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.693 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.693 * [taylor]: Taking taylor expansion of c in d
2.693 * [backup-simplify]: Simplify c into c
2.693 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.693 * [taylor]: Taking taylor expansion of d in d
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.694 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.694 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
2.694 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
2.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.694 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.694 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.694 * [taylor]: Taking taylor expansion of c in c
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.694 * [taylor]: Taking taylor expansion of d in c
2.694 * [backup-simplify]: Simplify d into d
2.695 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.695 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.695 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.695 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.695 * [backup-simplify]: Simplify (+ 0 0) into 0
2.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.695 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.696 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.696 * [taylor]: Taking taylor expansion of c in c
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.696 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.696 * [taylor]: Taking taylor expansion of d in c
2.696 * [backup-simplify]: Simplify d into d
2.696 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.696 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.696 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.696 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.696 * [backup-simplify]: Simplify (+ 0 0) into 0
2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.697 * [taylor]: Taking taylor expansion of d in d
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [taylor]: Taking taylor expansion of 0 in d
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1 1) into 1
2.698 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.698 * [backup-simplify]: Simplify (+ 1 0) into 1
2.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
2.699 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
2.699 * [taylor]: Taking taylor expansion of 1/2 in d
2.699 * [backup-simplify]: Simplify 1/2 into 1/2
2.699 * [taylor]: Taking taylor expansion of d in d
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.702 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
2.703 * [taylor]: Taking taylor expansion of 0 in d
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
2.704 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.704 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.705 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.705 * [taylor]: Taking taylor expansion of c in d
2.705 * [backup-simplify]: Simplify c into c
2.705 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.705 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.705 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.705 * [taylor]: Taking taylor expansion of d in d
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (* 1 1) into 1
2.706 * [backup-simplify]: Simplify (/ 1 1) into 1
2.706 * [backup-simplify]: Simplify (+ 0 1) into 1
2.707 * [backup-simplify]: Simplify (sqrt 1) into 1
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.708 * [backup-simplify]: Simplify (+ 0 0) into 0
2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.709 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.709 * [taylor]: Taking taylor expansion of c in c
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (* 1 1) into 1
2.710 * [backup-simplify]: Simplify (/ 1 1) into 1
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.710 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.710 * [taylor]: Taking taylor expansion of d in c
2.710 * [backup-simplify]: Simplify d into d
2.710 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.710 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.711 * [backup-simplify]: Simplify (+ 1 0) into 1
2.711 * [backup-simplify]: Simplify (sqrt 1) into 1
2.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.714 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.714 * [taylor]: Taking taylor expansion of c in c
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (* 1 1) into 1
2.715 * [backup-simplify]: Simplify (/ 1 1) into 1
2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.715 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.715 * [taylor]: Taking taylor expansion of d in c
2.715 * [backup-simplify]: Simplify d into d
2.715 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.715 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.716 * [backup-simplify]: Simplify (+ 1 0) into 1
2.716 * [backup-simplify]: Simplify (sqrt 1) into 1
2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.719 * [taylor]: Taking taylor expansion of 1 in d
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [taylor]: Taking taylor expansion of 0 in d
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.727 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.727 * [taylor]: Taking taylor expansion of 1/2 in d
2.727 * [backup-simplify]: Simplify 1/2 into 1/2
2.727 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.727 * [taylor]: Taking taylor expansion of d in d
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (* 1 1) into 1
2.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.733 * [taylor]: Taking taylor expansion of 0 in d
2.733 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
2.736 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.736 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.736 * [taylor]: Taking taylor expansion of c in d
2.736 * [backup-simplify]: Simplify c into c
2.736 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.736 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.736 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.736 * [taylor]: Taking taylor expansion of d in d
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (* 1 1) into 1
2.737 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [backup-simplify]: Simplify (+ 0 1) into 1
2.738 * [backup-simplify]: Simplify (sqrt 1) into 1
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.741 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.741 * [taylor]: Taking taylor expansion of c in c
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (* 1 1) into 1
2.741 * [backup-simplify]: Simplify (/ 1 1) into 1
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.741 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.741 * [taylor]: Taking taylor expansion of d in c
2.741 * [backup-simplify]: Simplify d into d
2.742 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.742 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.742 * [backup-simplify]: Simplify (+ 1 0) into 1
2.743 * [backup-simplify]: Simplify (sqrt 1) into 1
2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.744 * [backup-simplify]: Simplify (+ 0 0) into 0
2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.745 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.745 * [taylor]: Taking taylor expansion of c in c
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (* 1 1) into 1
2.746 * [backup-simplify]: Simplify (/ 1 1) into 1
2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.746 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.746 * [taylor]: Taking taylor expansion of d in c
2.746 * [backup-simplify]: Simplify d into d
2.746 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.746 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.747 * [backup-simplify]: Simplify (+ 1 0) into 1
2.747 * [backup-simplify]: Simplify (sqrt 1) into 1
2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.749 * [taylor]: Taking taylor expansion of 1 in d
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [taylor]: Taking taylor expansion of 0 in d
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.753 * [taylor]: Taking taylor expansion of 1/2 in d
2.753 * [backup-simplify]: Simplify 1/2 into 1/2
2.753 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.753 * [taylor]: Taking taylor expansion of d in d
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.758 * [backup-simplify]: Simplify (+ 0 0) into 0
2.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.759 * [taylor]: Taking taylor expansion of 0 in d
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
2.760 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
2.760 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
2.760 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
2.760 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
2.760 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
2.760 * [taylor]: Taking taylor expansion of (* a c) in d
2.760 * [taylor]: Taking taylor expansion of a in d
2.760 * [backup-simplify]: Simplify a into a
2.760 * [taylor]: Taking taylor expansion of c in d
2.760 * [backup-simplify]: Simplify c into c
2.760 * [taylor]: Taking taylor expansion of (* b d) in d
2.760 * [taylor]: Taking taylor expansion of b in d
2.760 * [backup-simplify]: Simplify b into b
2.760 * [taylor]: Taking taylor expansion of d in d
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 1 into 1
2.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
2.760 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
2.760 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.761 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.761 * [taylor]: Taking taylor expansion of c in d
2.761 * [backup-simplify]: Simplify c into c
2.761 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.761 * [taylor]: Taking taylor expansion of d in d
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 1 into 1
2.761 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.761 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.761 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.761 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
2.761 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.761 * [backup-simplify]: Simplify (+ 0 0) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
2.762 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
2.762 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
2.762 * [taylor]: Taking taylor expansion of (* a c) in b
2.762 * [taylor]: Taking taylor expansion of a in b
2.762 * [backup-simplify]: Simplify a into a
2.762 * [taylor]: Taking taylor expansion of c in b
2.762 * [backup-simplify]: Simplify c into c
2.762 * [taylor]: Taking taylor expansion of (* b d) in b
2.762 * [taylor]: Taking taylor expansion of b in b
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 1 into 1
2.762 * [taylor]: Taking taylor expansion of d in b
2.762 * [backup-simplify]: Simplify d into d
2.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
2.762 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
2.762 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
2.762 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.762 * [taylor]: Taking taylor expansion of c in b
2.762 * [backup-simplify]: Simplify c into c
2.762 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.762 * [taylor]: Taking taylor expansion of d in b
2.762 * [backup-simplify]: Simplify d into d
2.762 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.762 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.762 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.762 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.762 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.762 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.762 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.763 * [backup-simplify]: Simplify (+ 0 0) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.763 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
2.763 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
2.763 * [taylor]: Taking taylor expansion of (* a c) in c
2.763 * [taylor]: Taking taylor expansion of a in c
2.763 * [backup-simplify]: Simplify a into a
2.763 * [taylor]: Taking taylor expansion of c in c
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 1 into 1
2.763 * [taylor]: Taking taylor expansion of (* b d) in c
2.763 * [taylor]: Taking taylor expansion of b in c
2.763 * [backup-simplify]: Simplify b into b
2.763 * [taylor]: Taking taylor expansion of d in c
2.763 * [backup-simplify]: Simplify d into d
2.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.763 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.764 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.764 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.764 * [taylor]: Taking taylor expansion of c in c
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.764 * [taylor]: Taking taylor expansion of d in c
2.764 * [backup-simplify]: Simplify d into d
2.764 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.764 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.764 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.764 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.764 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.764 * [backup-simplify]: Simplify (+ 0 0) into 0
2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.765 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
2.765 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.765 * [taylor]: Taking taylor expansion of (* a c) in a
2.765 * [taylor]: Taking taylor expansion of a in a
2.765 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify 1 into 1
2.765 * [taylor]: Taking taylor expansion of c in a
2.765 * [backup-simplify]: Simplify c into c
2.765 * [taylor]: Taking taylor expansion of (* b d) in a
2.765 * [taylor]: Taking taylor expansion of b in a
2.765 * [backup-simplify]: Simplify b into b
2.765 * [taylor]: Taking taylor expansion of d in a
2.765 * [backup-simplify]: Simplify d into d
2.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
2.765 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
2.765 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
2.765 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.765 * [taylor]: Taking taylor expansion of c in a
2.765 * [backup-simplify]: Simplify c into c
2.765 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.765 * [taylor]: Taking taylor expansion of d in a
2.765 * [backup-simplify]: Simplify d into d
2.765 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.765 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.765 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.765 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.765 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.765 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.765 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.766 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
2.766 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.766 * [taylor]: Taking taylor expansion of (* a c) in a
2.766 * [taylor]: Taking taylor expansion of a in a
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [taylor]: Taking taylor expansion of c in a
2.766 * [backup-simplify]: Simplify c into c
2.766 * [taylor]: Taking taylor expansion of (* b d) in a
2.766 * [taylor]: Taking taylor expansion of b in a
2.766 * [backup-simplify]: Simplify b into b
2.766 * [taylor]: Taking taylor expansion of d in a
2.766 * [backup-simplify]: Simplify d into d
2.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
2.767 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
2.767 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
2.767 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.767 * [taylor]: Taking taylor expansion of c in a
2.767 * [backup-simplify]: Simplify c into c
2.767 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.767 * [taylor]: Taking taylor expansion of d in a
2.767 * [backup-simplify]: Simplify d into d
2.767 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.767 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.767 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.767 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.767 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.767 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.767 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.768 * [backup-simplify]: Simplify (* 0 c) into 0
2.768 * [backup-simplify]: Simplify (* b d) into (* b d)
2.768 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
2.768 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
2.769 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
2.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.769 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.769 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.769 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.769 * [taylor]: Taking taylor expansion of c in c
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.769 * [taylor]: Taking taylor expansion of d in c
2.769 * [backup-simplify]: Simplify d into d
2.769 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.769 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.769 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.769 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.769 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.770 * [taylor]: Taking taylor expansion of (* b d) in c
2.770 * [taylor]: Taking taylor expansion of b in c
2.770 * [backup-simplify]: Simplify b into b
2.770 * [taylor]: Taking taylor expansion of d in c
2.770 * [backup-simplify]: Simplify d into d
2.770 * [backup-simplify]: Simplify (* b d) into (* b d)
2.770 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
2.770 * [taylor]: Taking taylor expansion of b in b
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 1 into 1
2.770 * [taylor]: Taking taylor expansion of 0 in d
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.770 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.770 * [backup-simplify]: Simplify (+ c 0) into c
2.770 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
2.771 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
2.771 * [taylor]: Taking taylor expansion of c in c
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.771 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.771 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.771 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.771 * [taylor]: Taking taylor expansion of c in c
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.771 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.771 * [taylor]: Taking taylor expansion of d in c
2.771 * [backup-simplify]: Simplify d into d
2.771 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.771 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.771 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.771 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.771 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.771 * [backup-simplify]: Simplify (+ 0 0) into 0
2.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.772 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
2.772 * [taylor]: Taking taylor expansion of 0 in b
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [taylor]: Taking taylor expansion of 0 in d
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.772 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
2.772 * [taylor]: Taking taylor expansion of 0 in b
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [taylor]: Taking taylor expansion of 0 in d
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [taylor]: Taking taylor expansion of 1 in d
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.773 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.775 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.775 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
2.775 * [taylor]: Taking taylor expansion of 0 in c
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [taylor]: Taking taylor expansion of 0 in b
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [taylor]: Taking taylor expansion of 0 in d
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
2.776 * [taylor]: Taking taylor expansion of (/ 1 d) in b
2.776 * [taylor]: Taking taylor expansion of d in b
2.776 * [backup-simplify]: Simplify d into d
2.776 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.776 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.776 * [taylor]: Taking taylor expansion of d in d
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.776 * [backup-simplify]: Simplify (/ 1 1) into 1
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.777 * [backup-simplify]: Simplify (* 1 1) into 1
2.777 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.778 * [backup-simplify]: Simplify (+ 1 0) into 1
2.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
2.779 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
2.779 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
2.779 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
2.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
2.779 * [taylor]: Taking taylor expansion of 1/2 in b
2.779 * [backup-simplify]: Simplify 1/2 into 1/2
2.779 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
2.779 * [taylor]: Taking taylor expansion of b in b
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 1 into 1
2.779 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.779 * [taylor]: Taking taylor expansion of d in b
2.779 * [backup-simplify]: Simplify d into d
2.779 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.779 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.779 * [taylor]: Taking taylor expansion of 0 in d
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [taylor]: Taking taylor expansion of 0 in d
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [taylor]: Taking taylor expansion of 0 in d
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
2.780 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.780 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
2.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.780 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.780 * [taylor]: Taking taylor expansion of (* b d) in d
2.780 * [taylor]: Taking taylor expansion of b in d
2.780 * [backup-simplify]: Simplify b into b
2.780 * [taylor]: Taking taylor expansion of d in d
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 1 into 1
2.780 * [backup-simplify]: Simplify (* b 0) into 0
2.781 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.781 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.781 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.781 * [taylor]: Taking taylor expansion of (* a c) in d
2.781 * [taylor]: Taking taylor expansion of a in d
2.781 * [backup-simplify]: Simplify a into a
2.781 * [taylor]: Taking taylor expansion of c in d
2.781 * [backup-simplify]: Simplify c into c
2.781 * [backup-simplify]: Simplify (* a c) into (* a c)
2.781 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
2.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.781 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.781 * [taylor]: Taking taylor expansion of c in d
2.781 * [backup-simplify]: Simplify c into c
2.781 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.781 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.781 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.781 * [taylor]: Taking taylor expansion of d in d
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 1 into 1
2.781 * [backup-simplify]: Simplify (* 1 1) into 1
2.782 * [backup-simplify]: Simplify (/ 1 1) into 1
2.782 * [backup-simplify]: Simplify (+ 0 1) into 1
2.782 * [backup-simplify]: Simplify (/ 1 1) into 1
2.782 * [backup-simplify]: Simplify (sqrt 1) into 1
2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.783 * [backup-simplify]: Simplify (+ 0 0) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.785 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.785 * [taylor]: Taking taylor expansion of (* b d) in b
2.785 * [taylor]: Taking taylor expansion of b in b
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.785 * [taylor]: Taking taylor expansion of d in b
2.785 * [backup-simplify]: Simplify d into d
2.785 * [backup-simplify]: Simplify (* 0 d) into 0
2.785 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.785 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.785 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.785 * [taylor]: Taking taylor expansion of (* a c) in b
2.785 * [taylor]: Taking taylor expansion of a in b
2.785 * [backup-simplify]: Simplify a into a
2.785 * [taylor]: Taking taylor expansion of c in b
2.785 * [backup-simplify]: Simplify c into c
2.785 * [backup-simplify]: Simplify (* a c) into (* a c)
2.785 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
2.785 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
2.786 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.786 * [taylor]: Taking taylor expansion of c in b
2.786 * [backup-simplify]: Simplify c into c
2.786 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.786 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.786 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.786 * [taylor]: Taking taylor expansion of d in b
2.786 * [backup-simplify]: Simplify d into d
2.786 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.786 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.786 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.786 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.786 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.786 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.787 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 0) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.788 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.788 * [taylor]: Taking taylor expansion of (* b d) in c
2.788 * [taylor]: Taking taylor expansion of b in c
2.788 * [backup-simplify]: Simplify b into b
2.788 * [taylor]: Taking taylor expansion of d in c
2.788 * [backup-simplify]: Simplify d into d
2.788 * [backup-simplify]: Simplify (* b d) into (* b d)
2.788 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.788 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.788 * [taylor]: Taking taylor expansion of (* a c) in c
2.788 * [taylor]: Taking taylor expansion of a in c
2.788 * [backup-simplify]: Simplify a into a
2.788 * [taylor]: Taking taylor expansion of c in c
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 1 into 1
2.788 * [backup-simplify]: Simplify (* a 0) into 0
2.788 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.788 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.788 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.789 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.789 * [taylor]: Taking taylor expansion of c in c
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [backup-simplify]: Simplify (* 1 1) into 1
2.789 * [backup-simplify]: Simplify (/ 1 1) into 1
2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.789 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.789 * [taylor]: Taking taylor expansion of d in c
2.789 * [backup-simplify]: Simplify d into d
2.789 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.789 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.790 * [backup-simplify]: Simplify (+ 1 0) into 1
2.790 * [backup-simplify]: Simplify (/ 1 1) into 1
2.790 * [backup-simplify]: Simplify (sqrt 1) into 1
2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify (+ 0 0) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.792 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.792 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.792 * [taylor]: Taking taylor expansion of (* b d) in a
2.792 * [taylor]: Taking taylor expansion of b in a
2.792 * [backup-simplify]: Simplify b into b
2.792 * [taylor]: Taking taylor expansion of d in a
2.792 * [backup-simplify]: Simplify d into d
2.792 * [backup-simplify]: Simplify (* b d) into (* b d)
2.792 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.792 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.792 * [taylor]: Taking taylor expansion of (* a c) in a
2.792 * [taylor]: Taking taylor expansion of a in a
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.792 * [taylor]: Taking taylor expansion of c in a
2.792 * [backup-simplify]: Simplify c into c
2.792 * [backup-simplify]: Simplify (* 0 c) into 0
2.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.793 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.793 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.793 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.793 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.793 * [taylor]: Taking taylor expansion of c in a
2.793 * [backup-simplify]: Simplify c into c
2.793 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.793 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.793 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.793 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.793 * [taylor]: Taking taylor expansion of d in a
2.793 * [backup-simplify]: Simplify d into d
2.793 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.793 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.793 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.793 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.794 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.794 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.794 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.794 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.795 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.795 * [taylor]: Taking taylor expansion of (* b d) in a
2.795 * [taylor]: Taking taylor expansion of b in a
2.795 * [backup-simplify]: Simplify b into b
2.795 * [taylor]: Taking taylor expansion of d in a
2.795 * [backup-simplify]: Simplify d into d
2.795 * [backup-simplify]: Simplify (* b d) into (* b d)
2.796 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.796 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.796 * [taylor]: Taking taylor expansion of (* a c) in a
2.796 * [taylor]: Taking taylor expansion of a in a
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.796 * [taylor]: Taking taylor expansion of c in a
2.796 * [backup-simplify]: Simplify c into c
2.796 * [backup-simplify]: Simplify (* 0 c) into 0
2.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.796 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.796 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.797 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.797 * [taylor]: Taking taylor expansion of c in a
2.797 * [backup-simplify]: Simplify c into c
2.797 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.797 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.797 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.797 * [taylor]: Taking taylor expansion of d in a
2.797 * [backup-simplify]: Simplify d into d
2.797 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.797 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.797 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.798 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.798 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.798 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.798 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.800 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
2.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
2.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.800 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.800 * [taylor]: Taking taylor expansion of c in c
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [backup-simplify]: Simplify (* 1 1) into 1
2.801 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.801 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.801 * [taylor]: Taking taylor expansion of d in c
2.801 * [backup-simplify]: Simplify d into d
2.801 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.801 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.801 * [backup-simplify]: Simplify (+ 1 0) into 1
2.801 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [backup-simplify]: Simplify (sqrt 1) into 1
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ 0 0) into 0
2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.803 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.803 * [taylor]: Taking taylor expansion of c in c
2.803 * [backup-simplify]: Simplify 0 into 0
2.804 * [backup-simplify]: Simplify 1 into 1
2.804 * [backup-simplify]: Simplify (/ 1 1) into 1
2.804 * [backup-simplify]: Simplify (* 1 1) into 1
2.804 * [taylor]: Taking taylor expansion of 1 in b
2.804 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.805 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.805 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.805 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.805 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.805 * [taylor]: Taking taylor expansion of (* b d) in c
2.805 * [taylor]: Taking taylor expansion of b in c
2.805 * [backup-simplify]: Simplify b into b
2.805 * [taylor]: Taking taylor expansion of d in c
2.805 * [backup-simplify]: Simplify d into d
2.805 * [backup-simplify]: Simplify (* b d) into (* b d)
2.805 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.805 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.805 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.805 * [taylor]: Taking taylor expansion of c in c
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (/ 1 1) into 1
2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.806 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.806 * [taylor]: Taking taylor expansion of d in c
2.806 * [backup-simplify]: Simplify d into d
2.806 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.806 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.806 * [backup-simplify]: Simplify (+ 1 0) into 1
2.807 * [backup-simplify]: Simplify (/ 1 1) into 1
2.807 * [backup-simplify]: Simplify (sqrt 1) into 1
2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (+ 0 0) into 0
2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.811 * [taylor]: Taking taylor expansion of 0 in b
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [taylor]: Taking taylor expansion of 1 in d
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.812 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.815 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.817 * [backup-simplify]: Simplify (+ 0 0) into 0
2.817 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
2.817 * [taylor]: Taking taylor expansion of 0 in c
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [taylor]: Taking taylor expansion of 0 in b
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
2.817 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.817 * [taylor]: Taking taylor expansion of (* b d) in b
2.817 * [taylor]: Taking taylor expansion of b in b
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.817 * [taylor]: Taking taylor expansion of d in b
2.817 * [backup-simplify]: Simplify d into d
2.817 * [backup-simplify]: Simplify (* 0 d) into 0
2.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.818 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.818 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.818 * [taylor]: Taking taylor expansion of d in d
2.818 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify 1 into 1
2.818 * [backup-simplify]: Simplify (/ 1 1) into 1
2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.818 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.820 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
2.821 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
2.822 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
2.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
2.822 * [taylor]: Taking taylor expansion of 1/2 in b
2.822 * [backup-simplify]: Simplify 1/2 into 1/2
2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.822 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.822 * [taylor]: Taking taylor expansion of d in b
2.822 * [backup-simplify]: Simplify d into d
2.822 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.822 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.822 * [taylor]: Taking taylor expansion of 0 in d
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [taylor]: Taking taylor expansion of 0 in d
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.824 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.825 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.828 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.830 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
2.831 * [taylor]: Taking taylor expansion of 0 in c
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [taylor]: Taking taylor expansion of 0 in b
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [taylor]: Taking taylor expansion of 0 in b
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.832 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
2.832 * [taylor]: Taking taylor expansion of 0 in b
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
2.836 * [taylor]: Taking taylor expansion of 0 in b
2.836 * [backup-simplify]: Simplify 0 into 0
2.837 * [taylor]: Taking taylor expansion of 0 in d
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.837 * [taylor]: Taking taylor expansion of 0 in d
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
2.838 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.838 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
2.838 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.838 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.838 * [taylor]: Taking taylor expansion of (* b d) in d
2.838 * [taylor]: Taking taylor expansion of b in d
2.838 * [backup-simplify]: Simplify b into b
2.838 * [taylor]: Taking taylor expansion of d in d
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.838 * [backup-simplify]: Simplify (* b 0) into 0
2.838 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.838 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.838 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.838 * [taylor]: Taking taylor expansion of (* a c) in d
2.838 * [taylor]: Taking taylor expansion of a in d
2.838 * [backup-simplify]: Simplify a into a
2.838 * [taylor]: Taking taylor expansion of c in d
2.838 * [backup-simplify]: Simplify c into c
2.838 * [backup-simplify]: Simplify (* a c) into (* a c)
2.838 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
2.838 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.838 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.838 * [taylor]: Taking taylor expansion of c in d
2.838 * [backup-simplify]: Simplify c into c
2.838 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.839 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.839 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.839 * [taylor]: Taking taylor expansion of d in d
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (* 1 1) into 1
2.839 * [backup-simplify]: Simplify (/ 1 1) into 1
2.839 * [backup-simplify]: Simplify (+ 0 1) into 1
2.840 * [backup-simplify]: Simplify (/ 1 1) into 1
2.840 * [backup-simplify]: Simplify (sqrt 1) into 1
2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (+ 0 0) into 0
2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
2.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.845 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.845 * [taylor]: Taking taylor expansion of (* b d) in b
2.845 * [taylor]: Taking taylor expansion of b in b
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of d in b
2.845 * [backup-simplify]: Simplify d into d
2.845 * [backup-simplify]: Simplify (* 0 d) into 0
2.845 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.845 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.845 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.845 * [taylor]: Taking taylor expansion of (* a c) in b
2.845 * [taylor]: Taking taylor expansion of a in b
2.846 * [backup-simplify]: Simplify a into a
2.846 * [taylor]: Taking taylor expansion of c in b
2.846 * [backup-simplify]: Simplify c into c
2.846 * [backup-simplify]: Simplify (* a c) into (* a c)
2.846 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
2.846 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
2.846 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.846 * [taylor]: Taking taylor expansion of c in b
2.846 * [backup-simplify]: Simplify c into c
2.846 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.846 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.846 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.846 * [taylor]: Taking taylor expansion of d in b
2.846 * [backup-simplify]: Simplify d into d
2.846 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.846 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.846 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.847 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.847 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.847 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.848 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.848 * [backup-simplify]: Simplify (+ 0 0) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.849 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.849 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.849 * [taylor]: Taking taylor expansion of (* b d) in c
2.849 * [taylor]: Taking taylor expansion of b in c
2.849 * [backup-simplify]: Simplify b into b
2.849 * [taylor]: Taking taylor expansion of d in c
2.850 * [backup-simplify]: Simplify d into d
2.850 * [backup-simplify]: Simplify (* b d) into (* b d)
2.850 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.850 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.850 * [taylor]: Taking taylor expansion of (* a c) in c
2.850 * [taylor]: Taking taylor expansion of a in c
2.850 * [backup-simplify]: Simplify a into a
2.850 * [taylor]: Taking taylor expansion of c in c
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [backup-simplify]: Simplify (* a 0) into 0
2.850 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.850 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.850 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.851 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.851 * [taylor]: Taking taylor expansion of c in c
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (* 1 1) into 1
2.852 * [backup-simplify]: Simplify (/ 1 1) into 1
2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.852 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.852 * [taylor]: Taking taylor expansion of d in c
2.852 * [backup-simplify]: Simplify d into d
2.852 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.852 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.852 * [backup-simplify]: Simplify (+ 1 0) into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [backup-simplify]: Simplify (sqrt 1) into 1
2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.855 * [backup-simplify]: Simplify (+ 0 0) into 0
2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.856 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.856 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.856 * [taylor]: Taking taylor expansion of (* b d) in a
2.856 * [taylor]: Taking taylor expansion of b in a
2.856 * [backup-simplify]: Simplify b into b
2.856 * [taylor]: Taking taylor expansion of d in a
2.856 * [backup-simplify]: Simplify d into d
2.856 * [backup-simplify]: Simplify (* b d) into (* b d)
2.856 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.856 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.856 * [taylor]: Taking taylor expansion of (* a c) in a
2.856 * [taylor]: Taking taylor expansion of a in a
2.856 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of c in a
2.857 * [backup-simplify]: Simplify c into c
2.857 * [backup-simplify]: Simplify (* 0 c) into 0
2.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.857 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.857 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.857 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.857 * [taylor]: Taking taylor expansion of c in a
2.857 * [backup-simplify]: Simplify c into c
2.857 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.858 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.858 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.858 * [taylor]: Taking taylor expansion of d in a
2.858 * [backup-simplify]: Simplify d into d
2.858 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.858 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.858 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.858 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.859 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.859 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.859 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.860 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.861 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.861 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.861 * [taylor]: Taking taylor expansion of (* b d) in a
2.861 * [taylor]: Taking taylor expansion of b in a
2.861 * [backup-simplify]: Simplify b into b
2.861 * [taylor]: Taking taylor expansion of d in a
2.861 * [backup-simplify]: Simplify d into d
2.861 * [backup-simplify]: Simplify (* b d) into (* b d)
2.861 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.861 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.861 * [taylor]: Taking taylor expansion of (* a c) in a
2.861 * [taylor]: Taking taylor expansion of a in a
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 1 into 1
2.861 * [taylor]: Taking taylor expansion of c in a
2.861 * [backup-simplify]: Simplify c into c
2.861 * [backup-simplify]: Simplify (* 0 c) into 0
2.862 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.862 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.862 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.862 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.862 * [taylor]: Taking taylor expansion of c in a
2.862 * [backup-simplify]: Simplify c into c
2.862 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.862 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.862 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.862 * [taylor]: Taking taylor expansion of d in a
2.862 * [backup-simplify]: Simplify d into d
2.862 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.863 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.863 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.863 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.864 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.864 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.864 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.864 * [backup-simplify]: Simplify (+ 0 0) into 0
2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.865 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.865 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
2.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
2.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.865 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.865 * [taylor]: Taking taylor expansion of c in c
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 1 into 1
2.866 * [backup-simplify]: Simplify (* 1 1) into 1
2.866 * [backup-simplify]: Simplify (/ 1 1) into 1
2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.866 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.866 * [taylor]: Taking taylor expansion of d in c
2.866 * [backup-simplify]: Simplify d into d
2.866 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.866 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.866 * [backup-simplify]: Simplify (+ 1 0) into 1
2.867 * [backup-simplify]: Simplify (/ 1 1) into 1
2.867 * [backup-simplify]: Simplify (sqrt 1) into 1
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.869 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.869 * [taylor]: Taking taylor expansion of c in c
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (/ 1 1) into 1
2.869 * [backup-simplify]: Simplify (* 1 1) into 1
2.869 * [taylor]: Taking taylor expansion of 1 in b
2.869 * [backup-simplify]: Simplify 1 into 1
2.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.870 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.870 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.870 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.870 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.871 * [taylor]: Taking taylor expansion of (* b d) in c
2.871 * [taylor]: Taking taylor expansion of b in c
2.871 * [backup-simplify]: Simplify b into b
2.871 * [taylor]: Taking taylor expansion of d in c
2.871 * [backup-simplify]: Simplify d into d
2.871 * [backup-simplify]: Simplify (* b d) into (* b d)
2.871 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.871 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.871 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.871 * [taylor]: Taking taylor expansion of c in c
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.871 * [backup-simplify]: Simplify (/ 1 1) into 1
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.871 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.871 * [taylor]: Taking taylor expansion of d in c
2.871 * [backup-simplify]: Simplify d into d
2.871 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.871 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.872 * [backup-simplify]: Simplify (+ 1 0) into 1
2.872 * [backup-simplify]: Simplify (/ 1 1) into 1
2.872 * [backup-simplify]: Simplify (sqrt 1) into 1
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.873 * [backup-simplify]: Simplify (+ 0 0) into 0
2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.875 * [taylor]: Taking taylor expansion of 0 in b
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [taylor]: Taking taylor expansion of 1 in d
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.876 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.878 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.880 * [backup-simplify]: Simplify (+ 0 0) into 0
2.881 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
2.881 * [taylor]: Taking taylor expansion of 0 in c
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [taylor]: Taking taylor expansion of 0 in b
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
2.881 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.881 * [taylor]: Taking taylor expansion of (* b d) in b
2.881 * [taylor]: Taking taylor expansion of b in b
2.881 * [backup-simplify]: Simplify 0 into 0
2.881 * [backup-simplify]: Simplify 1 into 1
2.881 * [taylor]: Taking taylor expansion of d in b
2.881 * [backup-simplify]: Simplify d into d
2.881 * [backup-simplify]: Simplify (* 0 d) into 0
2.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.882 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.882 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.882 * [taylor]: Taking taylor expansion of d in d
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.882 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.883 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
2.887 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
2.888 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
2.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
2.888 * [taylor]: Taking taylor expansion of 1/2 in b
2.888 * [backup-simplify]: Simplify 1/2 into 1/2
2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.888 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.888 * [taylor]: Taking taylor expansion of d in b
2.888 * [backup-simplify]: Simplify d into d
2.888 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.888 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.888 * [taylor]: Taking taylor expansion of 0 in d
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [taylor]: Taking taylor expansion of 0 in d
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
2.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.890 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.892 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.894 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
2.894 * [taylor]: Taking taylor expansion of 0 in c
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [taylor]: Taking taylor expansion of 0 in b
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [taylor]: Taking taylor expansion of 0 in b
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.895 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
2.895 * [taylor]: Taking taylor expansion of 0 in b
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.897 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
2.899 * [taylor]: Taking taylor expansion of 0 in b
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [taylor]: Taking taylor expansion of 0 in d
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.900 * [taylor]: Taking taylor expansion of 0 in d
2.900 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
2.901 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.901 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
2.901 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
2.901 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
2.901 * [taylor]: Taking taylor expansion of (* a c) in d
2.901 * [taylor]: Taking taylor expansion of a in d
2.901 * [backup-simplify]: Simplify a into a
2.901 * [taylor]: Taking taylor expansion of c in d
2.901 * [backup-simplify]: Simplify c into c
2.901 * [taylor]: Taking taylor expansion of (* b d) in d
2.901 * [taylor]: Taking taylor expansion of b in d
2.901 * [backup-simplify]: Simplify b into b
2.901 * [taylor]: Taking taylor expansion of d in d
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 1 into 1
2.901 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
2.901 * [taylor]: Taking taylor expansion of (* a c) in b
2.901 * [taylor]: Taking taylor expansion of a in b
2.901 * [backup-simplify]: Simplify a into a
2.901 * [taylor]: Taking taylor expansion of c in b
2.901 * [backup-simplify]: Simplify c into c
2.901 * [taylor]: Taking taylor expansion of (* b d) in b
2.901 * [taylor]: Taking taylor expansion of b in b
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of d in b
2.902 * [backup-simplify]: Simplify d into d
2.902 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
2.902 * [taylor]: Taking taylor expansion of (* a c) in c
2.902 * [taylor]: Taking taylor expansion of a in c
2.902 * [backup-simplify]: Simplify a into a
2.902 * [taylor]: Taking taylor expansion of c in c
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of (* b d) in c
2.902 * [taylor]: Taking taylor expansion of b in c
2.902 * [backup-simplify]: Simplify b into b
2.902 * [taylor]: Taking taylor expansion of d in c
2.902 * [backup-simplify]: Simplify d into d
2.902 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.902 * [taylor]: Taking taylor expansion of (* a c) in a
2.902 * [taylor]: Taking taylor expansion of a in a
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of c in a
2.902 * [backup-simplify]: Simplify c into c
2.902 * [taylor]: Taking taylor expansion of (* b d) in a
2.902 * [taylor]: Taking taylor expansion of b in a
2.902 * [backup-simplify]: Simplify b into b
2.902 * [taylor]: Taking taylor expansion of d in a
2.902 * [backup-simplify]: Simplify d into d
2.902 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.902 * [taylor]: Taking taylor expansion of (* a c) in a
2.902 * [taylor]: Taking taylor expansion of a in a
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of c in a
2.902 * [backup-simplify]: Simplify c into c
2.902 * [taylor]: Taking taylor expansion of (* b d) in a
2.902 * [taylor]: Taking taylor expansion of b in a
2.902 * [backup-simplify]: Simplify b into b
2.902 * [taylor]: Taking taylor expansion of d in a
2.902 * [backup-simplify]: Simplify d into d
2.903 * [backup-simplify]: Simplify (* 0 c) into 0
2.903 * [backup-simplify]: Simplify (* b d) into (* b d)
2.903 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
2.903 * [taylor]: Taking taylor expansion of (* b d) in c
2.903 * [taylor]: Taking taylor expansion of b in c
2.903 * [backup-simplify]: Simplify b into b
2.903 * [taylor]: Taking taylor expansion of d in c
2.903 * [backup-simplify]: Simplify d into d
2.903 * [backup-simplify]: Simplify (* b d) into (* b d)
2.903 * [taylor]: Taking taylor expansion of (* b d) in b
2.903 * [taylor]: Taking taylor expansion of b in b
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [taylor]: Taking taylor expansion of d in b
2.903 * [backup-simplify]: Simplify d into d
2.903 * [backup-simplify]: Simplify (* 0 d) into 0
2.903 * [taylor]: Taking taylor expansion of 0 in d
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.904 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.904 * [backup-simplify]: Simplify (+ c 0) into c
2.904 * [taylor]: Taking taylor expansion of c in c
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [taylor]: Taking taylor expansion of 0 in b
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [taylor]: Taking taylor expansion of 0 in d
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.904 * [taylor]: Taking taylor expansion of 0 in b
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [taylor]: Taking taylor expansion of 0 in d
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.905 * [taylor]: Taking taylor expansion of d in d
2.905 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.906 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [taylor]: Taking taylor expansion of 0 in c
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [taylor]: Taking taylor expansion of 0 in b
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [taylor]: Taking taylor expansion of 0 in d
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
2.907 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
2.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.907 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.907 * [taylor]: Taking taylor expansion of (* b d) in d
2.907 * [taylor]: Taking taylor expansion of b in d
2.907 * [backup-simplify]: Simplify b into b
2.907 * [taylor]: Taking taylor expansion of d in d
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify 1 into 1
2.907 * [backup-simplify]: Simplify (* b 0) into 0
2.907 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.907 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.907 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.907 * [taylor]: Taking taylor expansion of (* a c) in d
2.907 * [taylor]: Taking taylor expansion of a in d
2.907 * [backup-simplify]: Simplify a into a
2.908 * [taylor]: Taking taylor expansion of c in d
2.908 * [backup-simplify]: Simplify c into c
2.908 * [backup-simplify]: Simplify (* a c) into (* a c)
2.908 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.908 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.908 * [taylor]: Taking taylor expansion of (* b d) in b
2.908 * [taylor]: Taking taylor expansion of b in b
2.908 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify 1 into 1
2.908 * [taylor]: Taking taylor expansion of d in b
2.908 * [backup-simplify]: Simplify d into d
2.908 * [backup-simplify]: Simplify (* 0 d) into 0
2.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.908 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.908 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.908 * [taylor]: Taking taylor expansion of (* a c) in b
2.908 * [taylor]: Taking taylor expansion of a in b
2.908 * [backup-simplify]: Simplify a into a
2.908 * [taylor]: Taking taylor expansion of c in b
2.908 * [backup-simplify]: Simplify c into c
2.908 * [backup-simplify]: Simplify (* a c) into (* a c)
2.908 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.908 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.908 * [taylor]: Taking taylor expansion of (* b d) in c
2.908 * [taylor]: Taking taylor expansion of b in c
2.908 * [backup-simplify]: Simplify b into b
2.908 * [taylor]: Taking taylor expansion of d in c
2.908 * [backup-simplify]: Simplify d into d
2.908 * [backup-simplify]: Simplify (* b d) into (* b d)
2.908 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.908 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.908 * [taylor]: Taking taylor expansion of (* a c) in c
2.908 * [taylor]: Taking taylor expansion of a in c
2.908 * [backup-simplify]: Simplify a into a
2.908 * [taylor]: Taking taylor expansion of c in c
2.909 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify 1 into 1
2.909 * [backup-simplify]: Simplify (* a 0) into 0
2.909 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.909 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.909 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.909 * [taylor]: Taking taylor expansion of (* b d) in a
2.909 * [taylor]: Taking taylor expansion of b in a
2.909 * [backup-simplify]: Simplify b into b
2.909 * [taylor]: Taking taylor expansion of d in a
2.909 * [backup-simplify]: Simplify d into d
2.909 * [backup-simplify]: Simplify (* b d) into (* b d)
2.909 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.909 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.909 * [taylor]: Taking taylor expansion of (* a c) in a
2.909 * [taylor]: Taking taylor expansion of a in a
2.909 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify 1 into 1
2.909 * [taylor]: Taking taylor expansion of c in a
2.909 * [backup-simplify]: Simplify c into c
2.909 * [backup-simplify]: Simplify (* 0 c) into 0
2.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.909 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.910 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.910 * [taylor]: Taking taylor expansion of (* b d) in a
2.910 * [taylor]: Taking taylor expansion of b in a
2.910 * [backup-simplify]: Simplify b into b
2.910 * [taylor]: Taking taylor expansion of d in a
2.910 * [backup-simplify]: Simplify d into d
2.910 * [backup-simplify]: Simplify (* b d) into (* b d)
2.910 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.910 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.910 * [taylor]: Taking taylor expansion of (* a c) in a
2.910 * [taylor]: Taking taylor expansion of a in a
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 1 into 1
2.910 * [taylor]: Taking taylor expansion of c in a
2.910 * [backup-simplify]: Simplify c into c
2.910 * [backup-simplify]: Simplify (* 0 c) into 0
2.910 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.910 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.910 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.910 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.910 * [taylor]: Taking taylor expansion of c in c
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 1 into 1
2.911 * [backup-simplify]: Simplify (/ 1 1) into 1
2.911 * [taylor]: Taking taylor expansion of 1 in b
2.911 * [backup-simplify]: Simplify 1 into 1
2.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.911 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.911 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.911 * [taylor]: Taking taylor expansion of (* b d) in c
2.911 * [taylor]: Taking taylor expansion of b in c
2.911 * [backup-simplify]: Simplify b into b
2.911 * [taylor]: Taking taylor expansion of d in c
2.911 * [backup-simplify]: Simplify d into d
2.911 * [backup-simplify]: Simplify (* b d) into (* b d)
2.911 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.912 * [taylor]: Taking taylor expansion of 0 in b
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [taylor]: Taking taylor expansion of 1 in d
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.913 * [taylor]: Taking taylor expansion of 0 in c
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.913 * [taylor]: Taking taylor expansion of (* b d) in b
2.913 * [taylor]: Taking taylor expansion of b in b
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify 1 into 1
2.913 * [taylor]: Taking taylor expansion of d in b
2.913 * [backup-simplify]: Simplify d into d
2.913 * [backup-simplify]: Simplify (* 0 d) into 0
2.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.914 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.914 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.914 * [taylor]: Taking taylor expansion of d in d
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [backup-simplify]: Simplify (/ 1 1) into 1
2.914 * [backup-simplify]: Simplify 1 into 1
2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.915 * [taylor]: Taking taylor expansion of 0 in b
2.915 * [backup-simplify]: Simplify 0 into 0
2.915 * [taylor]: Taking taylor expansion of 0 in d
2.915 * [backup-simplify]: Simplify 0 into 0
2.915 * [taylor]: Taking taylor expansion of 0 in d
2.915 * [backup-simplify]: Simplify 0 into 0
2.915 * [backup-simplify]: Simplify 1 into 1
2.915 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.917 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [taylor]: Taking taylor expansion of 0 in c
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [taylor]: Taking taylor expansion of 0 in b
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.917 * [taylor]: Taking taylor expansion of 0 in b
2.917 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.918 * [taylor]: Taking taylor expansion of 0 in b
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.918 * [taylor]: Taking taylor expansion of 0 in d
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [taylor]: Taking taylor expansion of 0 in d
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [taylor]: Taking taylor expansion of 0 in d
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [taylor]: Taking taylor expansion of 0 in d
2.918 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
2.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.921 * [backup-simplify]: Simplify (+ 0 0) into 0
2.921 * [taylor]: Taking taylor expansion of 0 in c
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [taylor]: Taking taylor expansion of 0 in b
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [taylor]: Taking taylor expansion of 0 in b
2.921 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.922 * [taylor]: Taking taylor expansion of 0 in b
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [taylor]: Taking taylor expansion of 0 in b
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [taylor]: Taking taylor expansion of 0 in d
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [taylor]: Taking taylor expansion of 0 in d
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [taylor]: Taking taylor expansion of 0 in d
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
2.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
2.924 * [taylor]: Taking taylor expansion of 0 in d
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [taylor]: Taking taylor expansion of 0 in d
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [taylor]: Taking taylor expansion of 0 in d
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [taylor]: Taking taylor expansion of 0 in d
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d))
2.924 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
2.924 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.924 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.924 * [taylor]: Taking taylor expansion of (* b d) in d
2.924 * [taylor]: Taking taylor expansion of b in d
2.924 * [backup-simplify]: Simplify b into b
2.925 * [taylor]: Taking taylor expansion of d in d
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (* b 0) into 0
2.925 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.925 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.925 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.925 * [taylor]: Taking taylor expansion of (* a c) in d
2.925 * [taylor]: Taking taylor expansion of a in d
2.925 * [backup-simplify]: Simplify a into a
2.925 * [taylor]: Taking taylor expansion of c in d
2.925 * [backup-simplify]: Simplify c into c
2.925 * [backup-simplify]: Simplify (* a c) into (* a c)
2.925 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.925 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.925 * [taylor]: Taking taylor expansion of (* b d) in b
2.925 * [taylor]: Taking taylor expansion of b in b
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [taylor]: Taking taylor expansion of d in b
2.925 * [backup-simplify]: Simplify d into d
2.925 * [backup-simplify]: Simplify (* 0 d) into 0
2.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.926 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.926 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.926 * [taylor]: Taking taylor expansion of (* a c) in b
2.926 * [taylor]: Taking taylor expansion of a in b
2.926 * [backup-simplify]: Simplify a into a
2.926 * [taylor]: Taking taylor expansion of c in b
2.926 * [backup-simplify]: Simplify c into c
2.926 * [backup-simplify]: Simplify (* a c) into (* a c)
2.926 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.926 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.926 * [taylor]: Taking taylor expansion of (* b d) in c
2.926 * [taylor]: Taking taylor expansion of b in c
2.926 * [backup-simplify]: Simplify b into b
2.926 * [taylor]: Taking taylor expansion of d in c
2.926 * [backup-simplify]: Simplify d into d
2.926 * [backup-simplify]: Simplify (* b d) into (* b d)
2.926 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.926 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.926 * [taylor]: Taking taylor expansion of (* a c) in c
2.926 * [taylor]: Taking taylor expansion of a in c
2.926 * [backup-simplify]: Simplify a into a
2.926 * [taylor]: Taking taylor expansion of c in c
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (* a 0) into 0
2.926 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.926 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.926 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.926 * [taylor]: Taking taylor expansion of (* b d) in a
2.926 * [taylor]: Taking taylor expansion of b in a
2.926 * [backup-simplify]: Simplify b into b
2.926 * [taylor]: Taking taylor expansion of d in a
2.926 * [backup-simplify]: Simplify d into d
2.926 * [backup-simplify]: Simplify (* b d) into (* b d)
2.927 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.927 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.927 * [taylor]: Taking taylor expansion of (* a c) in a
2.927 * [taylor]: Taking taylor expansion of a in a
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of c in a
2.927 * [backup-simplify]: Simplify c into c
2.927 * [backup-simplify]: Simplify (* 0 c) into 0
2.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.927 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.927 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.927 * [taylor]: Taking taylor expansion of (* b d) in a
2.927 * [taylor]: Taking taylor expansion of b in a
2.927 * [backup-simplify]: Simplify b into b
2.927 * [taylor]: Taking taylor expansion of d in a
2.927 * [backup-simplify]: Simplify d into d
2.927 * [backup-simplify]: Simplify (* b d) into (* b d)
2.927 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.927 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.927 * [taylor]: Taking taylor expansion of (* a c) in a
2.927 * [taylor]: Taking taylor expansion of a in a
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of c in a
2.927 * [backup-simplify]: Simplify c into c
2.927 * [backup-simplify]: Simplify (* 0 c) into 0
2.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.928 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.928 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.928 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.928 * [taylor]: Taking taylor expansion of c in c
2.928 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (/ 1 1) into 1
2.928 * [taylor]: Taking taylor expansion of 1 in b
2.928 * [backup-simplify]: Simplify 1 into 1
2.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.929 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.929 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.929 * [taylor]: Taking taylor expansion of (* b d) in c
2.929 * [taylor]: Taking taylor expansion of b in c
2.929 * [backup-simplify]: Simplify b into b
2.929 * [taylor]: Taking taylor expansion of d in c
2.929 * [backup-simplify]: Simplify d into d
2.929 * [backup-simplify]: Simplify (* b d) into (* b d)
2.929 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.929 * [taylor]: Taking taylor expansion of 0 in b
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [taylor]: Taking taylor expansion of 1 in d
2.929 * [backup-simplify]: Simplify 1 into 1
2.930 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.931 * [backup-simplify]: Simplify (+ 0 0) into 0
2.931 * [taylor]: Taking taylor expansion of 0 in c
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.931 * [taylor]: Taking taylor expansion of (* b d) in b
2.931 * [taylor]: Taking taylor expansion of b in b
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.931 * [taylor]: Taking taylor expansion of d in b
2.931 * [backup-simplify]: Simplify d into d
2.931 * [backup-simplify]: Simplify (* 0 d) into 0
2.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.931 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.931 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.931 * [taylor]: Taking taylor expansion of d in d
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.932 * [taylor]: Taking taylor expansion of 0 in b
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [taylor]: Taking taylor expansion of 0 in d
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [taylor]: Taking taylor expansion of 0 in d
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.934 * [backup-simplify]: Simplify (+ 0 0) into 0
2.934 * [taylor]: Taking taylor expansion of 0 in c
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [taylor]: Taking taylor expansion of 0 in b
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.934 * [taylor]: Taking taylor expansion of 0 in b
2.934 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.935 * [taylor]: Taking taylor expansion of 0 in b
2.935 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.936 * [taylor]: Taking taylor expansion of 0 in d
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [taylor]: Taking taylor expansion of 0 in d
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [taylor]: Taking taylor expansion of 0 in d
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [taylor]: Taking taylor expansion of 0 in d
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
2.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [taylor]: Taking taylor expansion of 0 in c
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [taylor]: Taking taylor expansion of 0 in b
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [taylor]: Taking taylor expansion of 0 in b
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.940 * [taylor]: Taking taylor expansion of 0 in b
2.940 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.941 * [taylor]: Taking taylor expansion of 0 in b
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [taylor]: Taking taylor expansion of 0 in d
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [taylor]: Taking taylor expansion of 0 in d
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [taylor]: Taking taylor expansion of 0 in d
2.941 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
2.942 * [taylor]: Taking taylor expansion of 0 in d
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [taylor]: Taking taylor expansion of 0 in d
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [taylor]: Taking taylor expansion of 0 in d
2.942 * [backup-simplify]: Simplify 0 into 0
2.943 * [taylor]: Taking taylor expansion of 0 in d
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d))
2.944 * * * [progress]: simplifying candidates
2.946 * [simplify]: Simplifying:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (+ (* a c) (* b d)))
  (- (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) 1)
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 1)
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) 1)
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))
  (* (exp (* a c)) (exp (* b d)))
  (log (+ (* a c) (* b d)))
  (exp (+ (* a c) (* b d)))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (cbrt (+ (* a c) (* b d)))
  (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (pow (* a c) 3) (pow (* b d) 3))
  (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))
  (- (* (* a c) (* a c)) (* (* b d) (* b d)))
  (- (* a c) (* b d))
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  b
  a
  (* -1 a)
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
2.948 * * [simplify]: iteration 0: 114 enodes
2.974 * * [simplify]: iteration 1: 278 enodes
3.067 * * [simplify]: iteration 2: 768 enodes
3.440 * * [simplify]: iteration 3: 2246 enodes
4.422 * * [simplify]: iteration complete: 5000 enodes
4.422 * * [simplify]: Extracting #0: cost 71 inf + 0
4.423 * * [simplify]: Extracting #1: cost 271 inf + 48
4.425 * * [simplify]: Extracting #2: cost 833 inf + 1392
4.440 * * [simplify]: Extracting #3: cost 1083 inf + 25893
4.482 * * [simplify]: Extracting #4: cost 585 inf + 162580
4.570 * * [simplify]: Extracting #5: cost 170 inf + 304555
4.679 * * [simplify]: Extracting #6: cost 14 inf + 356577
4.801 * * [simplify]: Extracting #7: cost 0 inf + 361589
4.926 * [simplify]: Simplified to:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (+ c d) (- c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (+ c d) (- c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (- (* b d)) (* a c))
  (- (sqrt (+ (* c c) (* d d))))
  (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))))
  (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (exp (+ (* a c) (* b d)))
  (log (+ (* a c) (* b d)))
  (exp (+ (* a c) (* b d)))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (cbrt (+ (* a c) (* b d)))
  (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (* (* (* a c) (* a c)) (* a c)) (* (* b d) (* (* b d) (* b d))))
  (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c)))
  (- (* (* a c) (* a c)) (* (* b d) (* b d)))
  (- (* a c) (* b d))
  d
  c
  (- c)
  d
  c
  (- c)
  b
  a
  (- a)
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
4.934 * * * [progress]: adding candidates to table
5.522 * * [progress]: iteration 3 / 4
5.522 * * * [progress]: picking best candidate
5.588 * * * * [pick]: Picked  #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
5.588 * * * [progress]: localizing error
5.621 * * * [progress]: generating rewritten candidates
5.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
5.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
5.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.693 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.714 * * * [progress]: generating series expansions
5.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
5.715 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
5.715 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
5.715 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
5.715 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
5.715 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.715 * [taylor]: Taking taylor expansion of c in d
5.715 * [backup-simplify]: Simplify c into c
5.715 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.715 * [taylor]: Taking taylor expansion of d in d
5.715 * [backup-simplify]: Simplify 0 into 0
5.715 * [backup-simplify]: Simplify 1 into 1
5.715 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.715 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
5.715 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
5.716 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.716 * [backup-simplify]: Simplify (+ 0 0) into 0
5.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
5.717 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.717 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.717 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.717 * [taylor]: Taking taylor expansion of c in c
5.717 * [backup-simplify]: Simplify 0 into 0
5.717 * [backup-simplify]: Simplify 1 into 1
5.717 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.717 * [taylor]: Taking taylor expansion of d in c
5.717 * [backup-simplify]: Simplify d into d
5.717 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.717 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.717 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.717 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.718 * [backup-simplify]: Simplify (+ 0 0) into 0
5.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.718 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.718 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.718 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.718 * [taylor]: Taking taylor expansion of c in c
5.718 * [backup-simplify]: Simplify 0 into 0
5.718 * [backup-simplify]: Simplify 1 into 1
5.718 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.718 * [taylor]: Taking taylor expansion of d in c
5.718 * [backup-simplify]: Simplify d into d
5.718 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.718 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.718 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.719 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.720 * [backup-simplify]: Simplify (+ 0 0) into 0
5.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.720 * [taylor]: Taking taylor expansion of d in d
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 1 into 1
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [taylor]: Taking taylor expansion of 0 in d
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 1 into 1
5.721 * [backup-simplify]: Simplify (* 1 1) into 1
5.721 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.722 * [backup-simplify]: Simplify (+ 1 0) into 1
5.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
5.722 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
5.723 * [taylor]: Taking taylor expansion of 1/2 in d
5.723 * [backup-simplify]: Simplify 1/2 into 1/2
5.723 * [taylor]: Taking taylor expansion of d in d
5.723 * [backup-simplify]: Simplify 0 into 0
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.724 * [backup-simplify]: Simplify 0 into 0
5.724 * [backup-simplify]: Simplify 0 into 0
5.724 * [backup-simplify]: Simplify 0 into 0
5.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.725 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
5.726 * [backup-simplify]: Simplify (+ 0 0) into 0
5.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
5.726 * [taylor]: Taking taylor expansion of 0 in d
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 0 into 0
5.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.727 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
5.729 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.729 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.729 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.729 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.729 * [taylor]: Taking taylor expansion of c in d
5.729 * [backup-simplify]: Simplify c into c
5.729 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.729 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.729 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.729 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.729 * [taylor]: Taking taylor expansion of d in d
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify 1 into 1
5.730 * [backup-simplify]: Simplify (* 1 1) into 1
5.730 * [backup-simplify]: Simplify (/ 1 1) into 1
5.731 * [backup-simplify]: Simplify (+ 0 1) into 1
5.731 * [backup-simplify]: Simplify (sqrt 1) into 1
5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.733 * [backup-simplify]: Simplify (+ 0 0) into 0
5.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.734 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.734 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.734 * [taylor]: Taking taylor expansion of c in c
5.734 * [backup-simplify]: Simplify 0 into 0
5.734 * [backup-simplify]: Simplify 1 into 1
5.734 * [backup-simplify]: Simplify (* 1 1) into 1
5.735 * [backup-simplify]: Simplify (/ 1 1) into 1
5.735 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.735 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.735 * [taylor]: Taking taylor expansion of d in c
5.735 * [backup-simplify]: Simplify d into d
5.735 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.735 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.736 * [backup-simplify]: Simplify (+ 1 0) into 1
5.736 * [backup-simplify]: Simplify (sqrt 1) into 1
5.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.738 * [backup-simplify]: Simplify (+ 0 0) into 0
5.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.739 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.739 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.739 * [taylor]: Taking taylor expansion of c in c
5.739 * [backup-simplify]: Simplify 0 into 0
5.739 * [backup-simplify]: Simplify 1 into 1
5.739 * [backup-simplify]: Simplify (* 1 1) into 1
5.740 * [backup-simplify]: Simplify (/ 1 1) into 1
5.740 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.740 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.740 * [taylor]: Taking taylor expansion of d in c
5.740 * [backup-simplify]: Simplify d into d
5.740 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.740 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.741 * [backup-simplify]: Simplify (+ 1 0) into 1
5.741 * [backup-simplify]: Simplify (sqrt 1) into 1
5.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.743 * [backup-simplify]: Simplify (+ 0 0) into 0
5.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.744 * [taylor]: Taking taylor expansion of 1 in d
5.744 * [backup-simplify]: Simplify 1 into 1
5.744 * [taylor]: Taking taylor expansion of 0 in d
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 1 into 1
5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.747 * [taylor]: Taking taylor expansion of 1/2 in d
5.747 * [backup-simplify]: Simplify 1/2 into 1/2
5.747 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.747 * [taylor]: Taking taylor expansion of d in d
5.747 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify 1 into 1
5.748 * [backup-simplify]: Simplify (* 1 1) into 1
5.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.752 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.753 * [backup-simplify]: Simplify (+ 0 0) into 0
5.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.754 * [taylor]: Taking taylor expansion of 0 in d
5.754 * [backup-simplify]: Simplify 0 into 0
5.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
5.756 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.756 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.757 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.757 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.757 * [taylor]: Taking taylor expansion of c in d
5.757 * [backup-simplify]: Simplify c into c
5.757 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.757 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.757 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.757 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.757 * [taylor]: Taking taylor expansion of d in d
5.757 * [backup-simplify]: Simplify 0 into 0
5.757 * [backup-simplify]: Simplify 1 into 1
5.757 * [backup-simplify]: Simplify (* 1 1) into 1
5.758 * [backup-simplify]: Simplify (/ 1 1) into 1
5.758 * [backup-simplify]: Simplify (+ 0 1) into 1
5.759 * [backup-simplify]: Simplify (sqrt 1) into 1
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.761 * [backup-simplify]: Simplify (+ 0 0) into 0
5.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.762 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.762 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.762 * [taylor]: Taking taylor expansion of c in c
5.762 * [backup-simplify]: Simplify 0 into 0
5.762 * [backup-simplify]: Simplify 1 into 1
5.762 * [backup-simplify]: Simplify (* 1 1) into 1
5.763 * [backup-simplify]: Simplify (/ 1 1) into 1
5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.763 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.763 * [taylor]: Taking taylor expansion of d in c
5.763 * [backup-simplify]: Simplify d into d
5.763 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.763 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.764 * [backup-simplify]: Simplify (+ 1 0) into 1
5.764 * [backup-simplify]: Simplify (sqrt 1) into 1
5.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.766 * [backup-simplify]: Simplify (+ 0 0) into 0
5.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.767 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.767 * [taylor]: Taking taylor expansion of c in c
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 1 into 1
5.767 * [backup-simplify]: Simplify (* 1 1) into 1
5.767 * [backup-simplify]: Simplify (/ 1 1) into 1
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.767 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.768 * [taylor]: Taking taylor expansion of d in c
5.768 * [backup-simplify]: Simplify d into d
5.768 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.768 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.768 * [backup-simplify]: Simplify (+ 1 0) into 1
5.769 * [backup-simplify]: Simplify (sqrt 1) into 1
5.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.770 * [backup-simplify]: Simplify (+ 0 0) into 0
5.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.771 * [taylor]: Taking taylor expansion of 1 in d
5.771 * [backup-simplify]: Simplify 1 into 1
5.771 * [taylor]: Taking taylor expansion of 0 in d
5.771 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.774 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.775 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.775 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.775 * [taylor]: Taking taylor expansion of 1/2 in d
5.775 * [backup-simplify]: Simplify 1/2 into 1/2
5.775 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.775 * [taylor]: Taking taylor expansion of d in d
5.775 * [backup-simplify]: Simplify 0 into 0
5.775 * [backup-simplify]: Simplify 1 into 1
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.776 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 0 into 0
5.778 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.781 * [backup-simplify]: Simplify (+ 0 0) into 0
5.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.781 * [taylor]: Taking taylor expansion of 0 in d
5.781 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
5.784 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
5.784 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
5.784 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
5.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
5.784 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
5.784 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.784 * [taylor]: Taking taylor expansion of c in d
5.784 * [backup-simplify]: Simplify c into c
5.784 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.784 * [taylor]: Taking taylor expansion of d in d
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 1 into 1
5.784 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.785 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
5.785 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
5.785 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.785 * [backup-simplify]: Simplify (+ 0 0) into 0
5.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
5.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.785 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.786 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.786 * [taylor]: Taking taylor expansion of c in c
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify 1 into 1
5.786 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.786 * [taylor]: Taking taylor expansion of d in c
5.786 * [backup-simplify]: Simplify d into d
5.786 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.786 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.786 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.786 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.786 * [backup-simplify]: Simplify (+ 0 0) into 0
5.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.787 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.787 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.787 * [taylor]: Taking taylor expansion of c in c
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 1 into 1
5.787 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.787 * [taylor]: Taking taylor expansion of d in c
5.787 * [backup-simplify]: Simplify d into d
5.787 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.787 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.787 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.787 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.788 * [backup-simplify]: Simplify (+ 0 0) into 0
5.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.788 * [taylor]: Taking taylor expansion of d in d
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 1 into 1
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [taylor]: Taking taylor expansion of 0 in d
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 1 into 1
5.789 * [backup-simplify]: Simplify (* 1 1) into 1
5.789 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.790 * [backup-simplify]: Simplify (+ 1 0) into 1
5.790 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
5.790 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
5.790 * [taylor]: Taking taylor expansion of 1/2 in d
5.790 * [backup-simplify]: Simplify 1/2 into 1/2
5.790 * [taylor]: Taking taylor expansion of d in d
5.791 * [backup-simplify]: Simplify 0 into 0
5.791 * [backup-simplify]: Simplify 1 into 1
5.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.792 * [backup-simplify]: Simplify 0 into 0
5.792 * [backup-simplify]: Simplify 0 into 0
5.792 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.793 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
5.794 * [backup-simplify]: Simplify (+ 0 0) into 0
5.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
5.794 * [taylor]: Taking taylor expansion of 0 in d
5.794 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
5.796 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.796 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.796 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.796 * [taylor]: Taking taylor expansion of c in d
5.796 * [backup-simplify]: Simplify c into c
5.796 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.796 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.796 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.796 * [taylor]: Taking taylor expansion of d in d
5.796 * [backup-simplify]: Simplify 0 into 0
5.796 * [backup-simplify]: Simplify 1 into 1
5.797 * [backup-simplify]: Simplify (* 1 1) into 1
5.797 * [backup-simplify]: Simplify (/ 1 1) into 1
5.798 * [backup-simplify]: Simplify (+ 0 1) into 1
5.798 * [backup-simplify]: Simplify (sqrt 1) into 1
5.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify (+ 0 0) into 0
5.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.801 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.801 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.801 * [taylor]: Taking taylor expansion of c in c
5.801 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify 1 into 1
5.801 * [backup-simplify]: Simplify (* 1 1) into 1
5.801 * [backup-simplify]: Simplify (/ 1 1) into 1
5.801 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.801 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.801 * [taylor]: Taking taylor expansion of d in c
5.802 * [backup-simplify]: Simplify d into d
5.802 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.802 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.802 * [backup-simplify]: Simplify (+ 1 0) into 1
5.803 * [backup-simplify]: Simplify (sqrt 1) into 1
5.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.805 * [backup-simplify]: Simplify (+ 0 0) into 0
5.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.805 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.806 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.806 * [taylor]: Taking taylor expansion of c in c
5.806 * [backup-simplify]: Simplify 0 into 0
5.806 * [backup-simplify]: Simplify 1 into 1
5.806 * [backup-simplify]: Simplify (* 1 1) into 1
5.806 * [backup-simplify]: Simplify (/ 1 1) into 1
5.806 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.806 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.806 * [taylor]: Taking taylor expansion of d in c
5.806 * [backup-simplify]: Simplify d into d
5.807 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.807 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.807 * [backup-simplify]: Simplify (+ 1 0) into 1
5.808 * [backup-simplify]: Simplify (sqrt 1) into 1
5.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.809 * [backup-simplify]: Simplify (+ 0 0) into 0
5.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.810 * [taylor]: Taking taylor expansion of 1 in d
5.810 * [backup-simplify]: Simplify 1 into 1
5.810 * [taylor]: Taking taylor expansion of 0 in d
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.813 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.815 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.815 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.815 * [taylor]: Taking taylor expansion of 1/2 in d
5.815 * [backup-simplify]: Simplify 1/2 into 1/2
5.815 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.815 * [taylor]: Taking taylor expansion of d in d
5.815 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (* 1 1) into 1
5.816 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.817 * [backup-simplify]: Simplify 0 into 0
5.817 * [backup-simplify]: Simplify 0 into 0
5.818 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.820 * [backup-simplify]: Simplify (+ 0 0) into 0
5.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.821 * [taylor]: Taking taylor expansion of 0 in d
5.821 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
5.824 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.824 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.824 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.824 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.824 * [taylor]: Taking taylor expansion of c in d
5.824 * [backup-simplify]: Simplify c into c
5.824 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.824 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.824 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.824 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.824 * [taylor]: Taking taylor expansion of d in d
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 1 into 1
5.825 * [backup-simplify]: Simplify (* 1 1) into 1
5.825 * [backup-simplify]: Simplify (/ 1 1) into 1
5.825 * [backup-simplify]: Simplify (+ 0 1) into 1
5.826 * [backup-simplify]: Simplify (sqrt 1) into 1
5.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.828 * [backup-simplify]: Simplify (+ 0 0) into 0
5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.828 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.829 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.829 * [taylor]: Taking taylor expansion of c in c
5.829 * [backup-simplify]: Simplify 0 into 0
5.829 * [backup-simplify]: Simplify 1 into 1
5.829 * [backup-simplify]: Simplify (* 1 1) into 1
5.829 * [backup-simplify]: Simplify (/ 1 1) into 1
5.829 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.829 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.829 * [taylor]: Taking taylor expansion of d in c
5.829 * [backup-simplify]: Simplify d into d
5.830 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.830 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.830 * [backup-simplify]: Simplify (+ 1 0) into 1
5.831 * [backup-simplify]: Simplify (sqrt 1) into 1
5.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.832 * [backup-simplify]: Simplify (+ 0 0) into 0
5.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.833 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.833 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.833 * [taylor]: Taking taylor expansion of c in c
5.833 * [backup-simplify]: Simplify 0 into 0
5.833 * [backup-simplify]: Simplify 1 into 1
5.834 * [backup-simplify]: Simplify (* 1 1) into 1
5.834 * [backup-simplify]: Simplify (/ 1 1) into 1
5.834 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.834 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.834 * [taylor]: Taking taylor expansion of d in c
5.834 * [backup-simplify]: Simplify d into d
5.834 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.834 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.835 * [backup-simplify]: Simplify (+ 1 0) into 1
5.835 * [backup-simplify]: Simplify (sqrt 1) into 1
5.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.837 * [backup-simplify]: Simplify (+ 0 0) into 0
5.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.838 * [taylor]: Taking taylor expansion of 1 in d
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [taylor]: Taking taylor expansion of 0 in d
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.840 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.841 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.841 * [taylor]: Taking taylor expansion of 1/2 in d
5.841 * [backup-simplify]: Simplify 1/2 into 1/2
5.841 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.841 * [taylor]: Taking taylor expansion of d in d
5.841 * [backup-simplify]: Simplify 0 into 0
5.841 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify (* 1 1) into 1
5.842 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.844 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify 0 into 0
5.844 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.846 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.847 * [backup-simplify]: Simplify (+ 0 0) into 0
5.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.848 * [taylor]: Taking taylor expansion of 0 in d
5.848 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
5.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
5.850 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
5.850 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
5.850 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
5.850 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
5.850 * [taylor]: Taking taylor expansion of (* a c) in d
5.851 * [taylor]: Taking taylor expansion of a in d
5.851 * [backup-simplify]: Simplify a into a
5.851 * [taylor]: Taking taylor expansion of c in d
5.851 * [backup-simplify]: Simplify c into c
5.851 * [taylor]: Taking taylor expansion of (* b d) in d
5.851 * [taylor]: Taking taylor expansion of b in d
5.851 * [backup-simplify]: Simplify b into b
5.851 * [taylor]: Taking taylor expansion of d in d
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
5.851 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
5.851 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
5.851 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.851 * [taylor]: Taking taylor expansion of c in d
5.851 * [backup-simplify]: Simplify c into c
5.851 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.851 * [taylor]: Taking taylor expansion of d in d
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.851 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.851 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
5.851 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.851 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
5.851 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.851 * [backup-simplify]: Simplify (+ 0 0) into 0
5.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
5.852 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
5.852 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
5.852 * [taylor]: Taking taylor expansion of (* a c) in b
5.852 * [taylor]: Taking taylor expansion of a in b
5.852 * [backup-simplify]: Simplify a into a
5.852 * [taylor]: Taking taylor expansion of c in b
5.852 * [backup-simplify]: Simplify c into c
5.852 * [taylor]: Taking taylor expansion of (* b d) in b
5.852 * [taylor]: Taking taylor expansion of b in b
5.852 * [backup-simplify]: Simplify 0 into 0
5.852 * [backup-simplify]: Simplify 1 into 1
5.852 * [taylor]: Taking taylor expansion of d in b
5.852 * [backup-simplify]: Simplify d into d
5.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
5.852 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
5.852 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
5.852 * [taylor]: Taking taylor expansion of (pow c 2) in b
5.852 * [taylor]: Taking taylor expansion of c in b
5.852 * [backup-simplify]: Simplify c into c
5.852 * [taylor]: Taking taylor expansion of (pow d 2) in b
5.852 * [taylor]: Taking taylor expansion of d in b
5.852 * [backup-simplify]: Simplify d into d
5.852 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.852 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.852 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
5.852 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
5.853 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
5.853 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.853 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.853 * [backup-simplify]: Simplify (+ 0 0) into 0
5.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
5.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
5.854 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
5.854 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
5.854 * [taylor]: Taking taylor expansion of (* a c) in c
5.854 * [taylor]: Taking taylor expansion of a in c
5.854 * [backup-simplify]: Simplify a into a
5.854 * [taylor]: Taking taylor expansion of c in c
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.854 * [taylor]: Taking taylor expansion of (* b d) in c
5.854 * [taylor]: Taking taylor expansion of b in c
5.854 * [backup-simplify]: Simplify b into b
5.854 * [taylor]: Taking taylor expansion of d in c
5.854 * [backup-simplify]: Simplify d into d
5.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
5.854 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
5.854 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.854 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.854 * [taylor]: Taking taylor expansion of c in c
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.854 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.854 * [taylor]: Taking taylor expansion of d in c
5.854 * [backup-simplify]: Simplify d into d
5.854 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.854 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.854 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.854 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
5.854 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.854 * [backup-simplify]: Simplify (+ 0 0) into 0
5.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
5.855 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
5.855 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
5.855 * [taylor]: Taking taylor expansion of (* a c) in a
5.855 * [taylor]: Taking taylor expansion of a in a
5.855 * [backup-simplify]: Simplify 0 into 0
5.855 * [backup-simplify]: Simplify 1 into 1
5.855 * [taylor]: Taking taylor expansion of c in a
5.855 * [backup-simplify]: Simplify c into c
5.855 * [taylor]: Taking taylor expansion of (* b d) in a
5.855 * [taylor]: Taking taylor expansion of b in a
5.855 * [backup-simplify]: Simplify b into b
5.855 * [taylor]: Taking taylor expansion of d in a
5.855 * [backup-simplify]: Simplify d into d
5.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
5.855 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
5.855 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
5.855 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.855 * [taylor]: Taking taylor expansion of c in a
5.855 * [backup-simplify]: Simplify c into c
5.855 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.855 * [taylor]: Taking taylor expansion of d in a
5.855 * [backup-simplify]: Simplify d into d
5.855 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.855 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.855 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
5.855 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
5.856 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
5.856 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.856 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.856 * [backup-simplify]: Simplify (+ 0 0) into 0
5.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
5.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
5.857 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
5.857 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
5.857 * [taylor]: Taking taylor expansion of (* a c) in a
5.857 * [taylor]: Taking taylor expansion of a in a
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [taylor]: Taking taylor expansion of c in a
5.857 * [backup-simplify]: Simplify c into c
5.857 * [taylor]: Taking taylor expansion of (* b d) in a
5.857 * [taylor]: Taking taylor expansion of b in a
5.857 * [backup-simplify]: Simplify b into b
5.857 * [taylor]: Taking taylor expansion of d in a
5.857 * [backup-simplify]: Simplify d into d
5.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
5.857 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
5.857 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
5.857 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.857 * [taylor]: Taking taylor expansion of c in a
5.857 * [backup-simplify]: Simplify c into c
5.857 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.857 * [taylor]: Taking taylor expansion of d in a
5.857 * [backup-simplify]: Simplify d into d
5.857 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.857 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.857 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
5.857 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
5.857 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
5.857 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.857 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.858 * [backup-simplify]: Simplify (+ 0 0) into 0
5.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
5.858 * [backup-simplify]: Simplify (* 0 c) into 0
5.858 * [backup-simplify]: Simplify (* b d) into (* b d)
5.858 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
5.859 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
5.859 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
5.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
5.859 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
5.859 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.859 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.859 * [taylor]: Taking taylor expansion of c in c
5.859 * [backup-simplify]: Simplify 0 into 0
5.859 * [backup-simplify]: Simplify 1 into 1
5.859 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.859 * [taylor]: Taking taylor expansion of d in c
5.859 * [backup-simplify]: Simplify d into d
5.859 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.859 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.859 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.859 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
5.859 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.863 * [backup-simplify]: Simplify (+ 0 0) into 0
5.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
5.863 * [taylor]: Taking taylor expansion of (* b d) in c
5.863 * [taylor]: Taking taylor expansion of b in c
5.863 * [backup-simplify]: Simplify b into b
5.863 * [taylor]: Taking taylor expansion of d in c
5.863 * [backup-simplify]: Simplify d into d
5.863 * [backup-simplify]: Simplify (* b d) into (* b d)
5.863 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
5.863 * [taylor]: Taking taylor expansion of b in b
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [taylor]: Taking taylor expansion of 0 in d
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
5.864 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
5.864 * [backup-simplify]: Simplify (+ c 0) into c
5.864 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
5.864 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
5.864 * [taylor]: Taking taylor expansion of c in c
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 1 into 1
5.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
5.864 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
5.864 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.864 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.864 * [taylor]: Taking taylor expansion of c in c
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 1 into 1
5.864 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.864 * [taylor]: Taking taylor expansion of d in c
5.864 * [backup-simplify]: Simplify d into d
5.864 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.865 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.865 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.865 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
5.865 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.865 * [backup-simplify]: Simplify (+ 0 0) into 0
5.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
5.865 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
5.865 * [taylor]: Taking taylor expansion of 0 in b
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [taylor]: Taking taylor expansion of 0 in d
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
5.866 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
5.866 * [taylor]: Taking taylor expansion of 0 in b
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [taylor]: Taking taylor expansion of 0 in d
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [taylor]: Taking taylor expansion of 1 in d
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
5.866 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.867 * [backup-simplify]: Simplify (+ 0 0) into 0
5.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
5.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
5.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
5.869 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
5.869 * [backup-simplify]: Simplify (+ 0 0) into 0
5.870 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
5.870 * [taylor]: Taking taylor expansion of 0 in c
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [taylor]: Taking taylor expansion of 0 in b
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [taylor]: Taking taylor expansion of 0 in d
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
5.871 * [taylor]: Taking taylor expansion of (/ 1 d) in b
5.871 * [taylor]: Taking taylor expansion of d in b
5.871 * [backup-simplify]: Simplify d into d
5.871 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
5.871 * [taylor]: Taking taylor expansion of (/ 1 d) in d
5.871 * [taylor]: Taking taylor expansion of d in d
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (/ 1 1) into 1
5.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify 0 into 0
5.873 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
5.873 * [backup-simplify]: Simplify (* 1 1) into 1
5.873 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.874 * [backup-simplify]: Simplify (+ 1 0) into 1
5.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
5.875 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
5.876 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
5.876 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
5.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
5.876 * [taylor]: Taking taylor expansion of 1/2 in b
5.876 * [backup-simplify]: Simplify 1/2 into 1/2
5.876 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
5.876 * [taylor]: Taking taylor expansion of b in b
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 1 into 1
5.876 * [taylor]: Taking taylor expansion of (pow d 2) in b
5.876 * [taylor]: Taking taylor expansion of d in b
5.876 * [backup-simplify]: Simplify d into d
5.876 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.876 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.876 * [taylor]: Taking taylor expansion of 0 in d
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [taylor]: Taking taylor expansion of 0 in d
5.876 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [taylor]: Taking taylor expansion of 0 in d
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
5.878 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
5.878 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
5.878 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
5.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
5.878 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
5.878 * [taylor]: Taking taylor expansion of (* b d) in d
5.878 * [taylor]: Taking taylor expansion of b in d
5.878 * [backup-simplify]: Simplify b into b
5.878 * [taylor]: Taking taylor expansion of d in d
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (* b 0) into 0
5.878 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
5.878 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
5.878 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
5.878 * [taylor]: Taking taylor expansion of (* a c) in d
5.878 * [taylor]: Taking taylor expansion of a in d
5.878 * [backup-simplify]: Simplify a into a
5.878 * [taylor]: Taking taylor expansion of c in d
5.878 * [backup-simplify]: Simplify c into c
5.879 * [backup-simplify]: Simplify (* a c) into (* a c)
5.879 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
5.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
5.879 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.879 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.879 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.879 * [taylor]: Taking taylor expansion of c in d
5.879 * [backup-simplify]: Simplify c into c
5.879 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.879 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.879 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.879 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.879 * [taylor]: Taking taylor expansion of d in d
5.879 * [backup-simplify]: Simplify 0 into 0
5.879 * [backup-simplify]: Simplify 1 into 1
5.880 * [backup-simplify]: Simplify (* 1 1) into 1
5.880 * [backup-simplify]: Simplify (/ 1 1) into 1
5.880 * [backup-simplify]: Simplify (+ 0 1) into 1
5.881 * [backup-simplify]: Simplify (/ 1 1) into 1
5.881 * [backup-simplify]: Simplify (sqrt 1) into 1
5.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (+ 0 0) into 0
5.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.884 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
5.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
5.884 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
5.884 * [taylor]: Taking taylor expansion of (* b d) in b
5.884 * [taylor]: Taking taylor expansion of b in b
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify 1 into 1
5.884 * [taylor]: Taking taylor expansion of d in b
5.884 * [backup-simplify]: Simplify d into d
5.884 * [backup-simplify]: Simplify (* 0 d) into 0
5.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
5.885 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
5.885 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
5.885 * [taylor]: Taking taylor expansion of (* a c) in b
5.885 * [taylor]: Taking taylor expansion of a in b
5.885 * [backup-simplify]: Simplify a into a
5.885 * [taylor]: Taking taylor expansion of c in b
5.885 * [backup-simplify]: Simplify c into c
5.885 * [backup-simplify]: Simplify (* a c) into (* a c)
5.885 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
5.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
5.885 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
5.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
5.885 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
5.885 * [taylor]: Taking taylor expansion of (pow c 2) in b
5.885 * [taylor]: Taking taylor expansion of c in b
5.885 * [backup-simplify]: Simplify c into c
5.885 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.886 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.886 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
5.886 * [taylor]: Taking taylor expansion of (pow d 2) in b
5.886 * [taylor]: Taking taylor expansion of d in b
5.886 * [backup-simplify]: Simplify d into d
5.886 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.886 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.886 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.886 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.887 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.887 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.887 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.888 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
5.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
5.888 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
5.888 * [taylor]: Taking taylor expansion of (* b d) in c
5.888 * [taylor]: Taking taylor expansion of b in c
5.888 * [backup-simplify]: Simplify b into b
5.888 * [taylor]: Taking taylor expansion of d in c
5.888 * [backup-simplify]: Simplify d into d
5.889 * [backup-simplify]: Simplify (* b d) into (* b d)
5.889 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.889 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
5.889 * [taylor]: Taking taylor expansion of (* a c) in c
5.889 * [taylor]: Taking taylor expansion of a in c
5.889 * [backup-simplify]: Simplify a into a
5.889 * [taylor]: Taking taylor expansion of c in c
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (* a 0) into 0
5.889 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
5.889 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
5.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.889 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.889 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.889 * [taylor]: Taking taylor expansion of c in c
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (* 1 1) into 1
5.890 * [backup-simplify]: Simplify (/ 1 1) into 1
5.890 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.890 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.890 * [taylor]: Taking taylor expansion of d in c
5.890 * [backup-simplify]: Simplify d into d
5.890 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.890 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.890 * [backup-simplify]: Simplify (+ 1 0) into 1
5.890 * [backup-simplify]: Simplify (/ 1 1) into 1
5.891 * [backup-simplify]: Simplify (sqrt 1) into 1
5.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.892 * [backup-simplify]: Simplify (+ 0 0) into 0
5.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
5.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
5.893 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
5.893 * [taylor]: Taking taylor expansion of (* b d) in a
5.893 * [taylor]: Taking taylor expansion of b in a
5.893 * [backup-simplify]: Simplify b into b
5.893 * [taylor]: Taking taylor expansion of d in a
5.893 * [backup-simplify]: Simplify d into d
5.893 * [backup-simplify]: Simplify (* b d) into (* b d)
5.893 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.893 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
5.893 * [taylor]: Taking taylor expansion of (* a c) in a
5.893 * [taylor]: Taking taylor expansion of a in a
5.893 * [backup-simplify]: Simplify 0 into 0
5.893 * [backup-simplify]: Simplify 1 into 1
5.893 * [taylor]: Taking taylor expansion of c in a
5.893 * [backup-simplify]: Simplify c into c
5.893 * [backup-simplify]: Simplify (* 0 c) into 0
5.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
5.893 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
5.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
5.893 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
5.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
5.893 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
5.893 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.893 * [taylor]: Taking taylor expansion of c in a
5.893 * [backup-simplify]: Simplify c into c
5.893 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.894 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.894 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
5.894 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.894 * [taylor]: Taking taylor expansion of d in a
5.894 * [backup-simplify]: Simplify d into d
5.894 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.894 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.894 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.894 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.894 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.894 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.895 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.895 * [backup-simplify]: Simplify (+ 0 0) into 0
5.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.896 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
5.896 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
5.896 * [taylor]: Taking taylor expansion of (* b d) in a
5.896 * [taylor]: Taking taylor expansion of b in a
5.896 * [backup-simplify]: Simplify b into b
5.896 * [taylor]: Taking taylor expansion of d in a
5.896 * [backup-simplify]: Simplify d into d
5.896 * [backup-simplify]: Simplify (* b d) into (* b d)
5.896 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.896 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
5.896 * [taylor]: Taking taylor expansion of (* a c) in a
5.896 * [taylor]: Taking taylor expansion of a in a
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 1 into 1
5.896 * [taylor]: Taking taylor expansion of c in a
5.896 * [backup-simplify]: Simplify c into c
5.896 * [backup-simplify]: Simplify (* 0 c) into 0
5.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
5.896 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
5.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
5.896 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
5.896 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.896 * [taylor]: Taking taylor expansion of c in a
5.896 * [backup-simplify]: Simplify c into c
5.896 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.896 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
5.896 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.897 * [taylor]: Taking taylor expansion of d in a
5.897 * [backup-simplify]: Simplify d into d
5.897 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.897 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.897 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.897 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.897 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.897 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.897 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.898 * [backup-simplify]: Simplify (+ 0 0) into 0
5.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.899 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
5.899 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
5.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
5.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.899 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.899 * [taylor]: Taking taylor expansion of c in c
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 1 into 1
5.900 * [backup-simplify]: Simplify (* 1 1) into 1
5.900 * [backup-simplify]: Simplify (/ 1 1) into 1
5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.900 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.900 * [taylor]: Taking taylor expansion of d in c
5.900 * [backup-simplify]: Simplify d into d
5.900 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.900 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.901 * [backup-simplify]: Simplify (+ 1 0) into 1
5.901 * [backup-simplify]: Simplify (/ 1 1) into 1
5.901 * [backup-simplify]: Simplify (sqrt 1) into 1
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.905 * [taylor]: Taking taylor expansion of (/ 1 c) in c
5.905 * [taylor]: Taking taylor expansion of c in c
5.905 * [backup-simplify]: Simplify 0 into 0
5.905 * [backup-simplify]: Simplify 1 into 1
5.905 * [backup-simplify]: Simplify (/ 1 1) into 1
5.905 * [backup-simplify]: Simplify (* 1 1) into 1
5.905 * [taylor]: Taking taylor expansion of 1 in b
5.905 * [backup-simplify]: Simplify 1 into 1
5.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
5.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
5.907 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
5.907 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
5.907 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
5.907 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
5.907 * [taylor]: Taking taylor expansion of (* b d) in c
5.907 * [taylor]: Taking taylor expansion of b in c
5.907 * [backup-simplify]: Simplify b into b
5.907 * [taylor]: Taking taylor expansion of d in c
5.907 * [backup-simplify]: Simplify d into d
5.907 * [backup-simplify]: Simplify (* b d) into (* b d)
5.907 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.907 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.908 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.908 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.908 * [taylor]: Taking taylor expansion of c in c
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (* 1 1) into 1
5.908 * [backup-simplify]: Simplify (/ 1 1) into 1
5.908 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.908 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.908 * [taylor]: Taking taylor expansion of d in c
5.909 * [backup-simplify]: Simplify d into d
5.909 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.909 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.909 * [backup-simplify]: Simplify (+ 1 0) into 1
5.910 * [backup-simplify]: Simplify (/ 1 1) into 1
5.910 * [backup-simplify]: Simplify (sqrt 1) into 1
5.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify (+ 0 0) into 0
5.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.914 * [taylor]: Taking taylor expansion of 0 in b
5.914 * [backup-simplify]: Simplify 0 into 0
5.915 * [taylor]: Taking taylor expansion of 1 in d
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
5.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
5.916 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
5.917 * [backup-simplify]: Simplify (+ 0 0) into 0
5.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.919 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
5.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
5.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
5.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.921 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
5.921 * [taylor]: Taking taylor expansion of 0 in c
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [taylor]: Taking taylor expansion of 0 in b
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
5.921 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
5.921 * [taylor]: Taking taylor expansion of (* b d) in b
5.921 * [taylor]: Taking taylor expansion of b in b
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.922 * [taylor]: Taking taylor expansion of d in b
5.922 * [backup-simplify]: Simplify d into d
5.922 * [backup-simplify]: Simplify (* 0 d) into 0
5.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
5.922 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
5.922 * [taylor]: Taking taylor expansion of (/ 1 d) in d
5.922 * [taylor]: Taking taylor expansion of d in d
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 1 into 1
5.923 * [backup-simplify]: Simplify (/ 1 1) into 1
5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
5.928 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
5.929 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
5.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
5.929 * [taylor]: Taking taylor expansion of 1/2 in b
5.930 * [backup-simplify]: Simplify 1/2 into 1/2
5.930 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
5.930 * [taylor]: Taking taylor expansion of (pow d 2) in b
5.930 * [taylor]: Taking taylor expansion of d in b
5.930 * [backup-simplify]: Simplify d into d
5.930 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.930 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.930 * [taylor]: Taking taylor expansion of 0 in d
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [taylor]: Taking taylor expansion of 0 in d
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
5.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
5.932 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
5.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
5.933 * [backup-simplify]: Simplify (+ 0 0) into 0
5.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.936 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
5.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
5.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
5.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
5.938 * [backup-simplify]: Simplify (+ 0 0) into 0
5.939 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
5.939 * [taylor]: Taking taylor expansion of 0 in c
5.939 * [backup-simplify]: Simplify 0 into 0
5.939 * [taylor]: Taking taylor expansion of 0 in b
5.939 * [backup-simplify]: Simplify 0 into 0
5.939 * [taylor]: Taking taylor expansion of 0 in b
5.939 * [backup-simplify]: Simplify 0 into 0
5.939 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
5.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
5.940 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
5.940 * [taylor]: Taking taylor expansion of 0 in b
5.940 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.943 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
5.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
5.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
5.947 * [taylor]: Taking taylor expansion of 0 in b
5.947 * [backup-simplify]: Simplify 0 into 0
5.947 * [taylor]: Taking taylor expansion of 0 in d
5.947 * [backup-simplify]: Simplify 0 into 0
5.947 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
5.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
5.948 * [taylor]: Taking taylor expansion of 0 in d
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
5.949 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
5.949 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
5.949 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
5.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
5.949 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
5.949 * [taylor]: Taking taylor expansion of (* b d) in d
5.949 * [taylor]: Taking taylor expansion of b in d
5.949 * [backup-simplify]: Simplify b into b
5.949 * [taylor]: Taking taylor expansion of d in d
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify 1 into 1
5.949 * [backup-simplify]: Simplify (* b 0) into 0
5.949 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
5.950 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
5.950 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
5.950 * [taylor]: Taking taylor expansion of (* a c) in d
5.950 * [taylor]: Taking taylor expansion of a in d
5.950 * [backup-simplify]: Simplify a into a
5.950 * [taylor]: Taking taylor expansion of c in d
5.950 * [backup-simplify]: Simplify c into c
5.950 * [backup-simplify]: Simplify (* a c) into (* a c)
5.950 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
5.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
5.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.950 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.950 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.950 * [taylor]: Taking taylor expansion of c in d
5.950 * [backup-simplify]: Simplify c into c
5.950 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.950 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.950 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.950 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.950 * [taylor]: Taking taylor expansion of d in d
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 1 into 1
5.951 * [backup-simplify]: Simplify (* 1 1) into 1
5.951 * [backup-simplify]: Simplify (/ 1 1) into 1
5.952 * [backup-simplify]: Simplify (+ 0 1) into 1
5.952 * [backup-simplify]: Simplify (/ 1 1) into 1
5.952 * [backup-simplify]: Simplify (sqrt 1) into 1
5.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify (+ 0 0) into 0
5.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.955 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
5.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
5.956 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
5.956 * [taylor]: Taking taylor expansion of (* b d) in b
5.956 * [taylor]: Taking taylor expansion of b in b
5.956 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify 1 into 1
5.956 * [taylor]: Taking taylor expansion of d in b
5.956 * [backup-simplify]: Simplify d into d
5.956 * [backup-simplify]: Simplify (* 0 d) into 0
5.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
5.956 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
5.956 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
5.956 * [taylor]: Taking taylor expansion of (* a c) in b
5.956 * [taylor]: Taking taylor expansion of a in b
5.956 * [backup-simplify]: Simplify a into a
5.956 * [taylor]: Taking taylor expansion of c in b
5.956 * [backup-simplify]: Simplify c into c
5.956 * [backup-simplify]: Simplify (* a c) into (* a c)
5.957 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
5.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
5.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
5.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
5.957 * [taylor]: Taking taylor expansion of (pow c 2) in b
5.957 * [taylor]: Taking taylor expansion of c in b
5.957 * [backup-simplify]: Simplify c into c
5.957 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.957 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
5.957 * [taylor]: Taking taylor expansion of (pow d 2) in b
5.957 * [taylor]: Taking taylor expansion of d in b
5.957 * [backup-simplify]: Simplify d into d
5.957 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.957 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.958 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.958 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.958 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.958 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.959 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.959 * [backup-simplify]: Simplify (+ 0 0) into 0
5.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
5.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
5.960 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
5.960 * [taylor]: Taking taylor expansion of (* b d) in c
5.961 * [taylor]: Taking taylor expansion of b in c
5.961 * [backup-simplify]: Simplify b into b
5.961 * [taylor]: Taking taylor expansion of d in c
5.961 * [backup-simplify]: Simplify d into d
5.961 * [backup-simplify]: Simplify (* b d) into (* b d)
5.961 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.961 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
5.961 * [taylor]: Taking taylor expansion of (* a c) in c
5.961 * [taylor]: Taking taylor expansion of a in c
5.961 * [backup-simplify]: Simplify a into a
5.961 * [taylor]: Taking taylor expansion of c in c
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 1 into 1
5.961 * [backup-simplify]: Simplify (* a 0) into 0
5.961 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
5.961 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
5.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.962 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.962 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.962 * [taylor]: Taking taylor expansion of c in c
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (* 1 1) into 1
5.962 * [backup-simplify]: Simplify (/ 1 1) into 1
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.962 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.962 * [taylor]: Taking taylor expansion of d in c
5.963 * [backup-simplify]: Simplify d into d
5.963 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.963 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.963 * [backup-simplify]: Simplify (+ 1 0) into 1
5.964 * [backup-simplify]: Simplify (/ 1 1) into 1
5.964 * [backup-simplify]: Simplify (sqrt 1) into 1
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify (+ 0 0) into 0
5.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.967 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
5.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
5.967 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
5.967 * [taylor]: Taking taylor expansion of (* b d) in a
5.967 * [taylor]: Taking taylor expansion of b in a
5.967 * [backup-simplify]: Simplify b into b
5.967 * [taylor]: Taking taylor expansion of d in a
5.967 * [backup-simplify]: Simplify d into d
5.967 * [backup-simplify]: Simplify (* b d) into (* b d)
5.967 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.967 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
5.967 * [taylor]: Taking taylor expansion of (* a c) in a
5.967 * [taylor]: Taking taylor expansion of a in a
5.967 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [taylor]: Taking taylor expansion of c in a
5.968 * [backup-simplify]: Simplify c into c
5.968 * [backup-simplify]: Simplify (* 0 c) into 0
5.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
5.968 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
5.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
5.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
5.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
5.968 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.968 * [taylor]: Taking taylor expansion of c in a
5.968 * [backup-simplify]: Simplify c into c
5.968 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.968 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
5.968 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.968 * [taylor]: Taking taylor expansion of d in a
5.968 * [backup-simplify]: Simplify d into d
5.968 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.968 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.969 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.969 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.969 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.969 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.969 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.970 * [backup-simplify]: Simplify (+ 0 0) into 0
5.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
5.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
5.970 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
5.970 * [taylor]: Taking taylor expansion of (* b d) in a
5.970 * [taylor]: Taking taylor expansion of b in a
5.970 * [backup-simplify]: Simplify b into b
5.970 * [taylor]: Taking taylor expansion of d in a
5.970 * [backup-simplify]: Simplify d into d
5.970 * [backup-simplify]: Simplify (* b d) into (* b d)
5.971 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.971 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
5.971 * [taylor]: Taking taylor expansion of (* a c) in a
5.971 * [taylor]: Taking taylor expansion of a in a
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 1 into 1
5.971 * [taylor]: Taking taylor expansion of c in a
5.971 * [backup-simplify]: Simplify c into c
5.971 * [backup-simplify]: Simplify (* 0 c) into 0
5.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
5.971 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
5.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
5.971 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
5.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
5.971 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
5.971 * [taylor]: Taking taylor expansion of (pow c 2) in a
5.971 * [taylor]: Taking taylor expansion of c in a
5.971 * [backup-simplify]: Simplify c into c
5.971 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.971 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.971 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
5.971 * [taylor]: Taking taylor expansion of (pow d 2) in a
5.971 * [taylor]: Taking taylor expansion of d in a
5.971 * [backup-simplify]: Simplify d into d
5.971 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.971 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.972 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
5.972 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.972 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
5.972 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
5.972 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.973 * [backup-simplify]: Simplify (+ 0 0) into 0
5.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.974 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
5.974 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
5.974 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
5.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.974 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.974 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.974 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.974 * [taylor]: Taking taylor expansion of c in c
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [backup-simplify]: Simplify (* 1 1) into 1
5.974 * [backup-simplify]: Simplify (/ 1 1) into 1
5.974 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.974 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.974 * [taylor]: Taking taylor expansion of d in c
5.975 * [backup-simplify]: Simplify d into d
5.975 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.975 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.975 * [backup-simplify]: Simplify (+ 1 0) into 1
5.975 * [backup-simplify]: Simplify (/ 1 1) into 1
5.975 * [backup-simplify]: Simplify (sqrt 1) into 1
5.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.977 * [backup-simplify]: Simplify (+ 0 0) into 0
5.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.977 * [taylor]: Taking taylor expansion of (/ 1 c) in c
5.977 * [taylor]: Taking taylor expansion of c in c
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.978 * [backup-simplify]: Simplify (/ 1 1) into 1
5.978 * [backup-simplify]: Simplify (* 1 1) into 1
5.978 * [taylor]: Taking taylor expansion of 1 in b
5.978 * [backup-simplify]: Simplify 1 into 1
5.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
5.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
5.979 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
5.979 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
5.979 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
5.979 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
5.979 * [taylor]: Taking taylor expansion of (* b d) in c
5.979 * [taylor]: Taking taylor expansion of b in c
5.979 * [backup-simplify]: Simplify b into b
5.979 * [taylor]: Taking taylor expansion of d in c
5.979 * [backup-simplify]: Simplify d into d
5.979 * [backup-simplify]: Simplify (* b d) into (* b d)
5.979 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
5.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
5.979 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.979 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.979 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.979 * [taylor]: Taking taylor expansion of c in c
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.980 * [backup-simplify]: Simplify (* 1 1) into 1
5.980 * [backup-simplify]: Simplify (/ 1 1) into 1
5.980 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.980 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.980 * [taylor]: Taking taylor expansion of d in c
5.980 * [backup-simplify]: Simplify d into d
5.980 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.980 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.980 * [backup-simplify]: Simplify (+ 1 0) into 1
5.981 * [backup-simplify]: Simplify (/ 1 1) into 1
5.981 * [backup-simplify]: Simplify (sqrt 1) into 1
5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.982 * [backup-simplify]: Simplify (+ 0 0) into 0
5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.984 * [taylor]: Taking taylor expansion of 0 in b
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [taylor]: Taking taylor expansion of 1 in d
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
5.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
5.986 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
5.986 * [backup-simplify]: Simplify (+ 0 0) into 0
5.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
5.988 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
5.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
5.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
5.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
5.991 * [taylor]: Taking taylor expansion of 0 in c
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [taylor]: Taking taylor expansion of 0 in b
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
5.991 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
5.991 * [taylor]: Taking taylor expansion of (* b d) in b
5.991 * [taylor]: Taking taylor expansion of b in b
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 1 into 1
5.991 * [taylor]: Taking taylor expansion of d in b
5.991 * [backup-simplify]: Simplify d into d
5.991 * [backup-simplify]: Simplify (* 0 d) into 0
5.992 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
5.992 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
5.992 * [taylor]: Taking taylor expansion of (/ 1 d) in d
5.992 * [taylor]: Taking taylor expansion of d in d
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (/ 1 1) into 1
5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.993 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
6.002 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
6.003 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
6.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
6.003 * [taylor]: Taking taylor expansion of 1/2 in b
6.003 * [backup-simplify]: Simplify 1/2 into 1/2
6.003 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
6.003 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.003 * [taylor]: Taking taylor expansion of d in b
6.003 * [backup-simplify]: Simplify d into d
6.003 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.004 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.004 * [taylor]: Taking taylor expansion of 0 in d
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [taylor]: Taking taylor expansion of 0 in d
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify 0 into 0
6.004 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
6.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
6.006 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
6.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
6.007 * [backup-simplify]: Simplify (+ 0 0) into 0
6.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.010 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
6.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.012 * [backup-simplify]: Simplify (+ 0 0) into 0
6.013 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
6.013 * [taylor]: Taking taylor expansion of 0 in c
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [taylor]: Taking taylor expansion of 0 in b
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [taylor]: Taking taylor expansion of 0 in b
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.014 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
6.014 * [taylor]: Taking taylor expansion of 0 in b
6.014 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.017 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.018 * [backup-simplify]: Simplify (+ 0 0) into 0
6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
6.021 * [taylor]: Taking taylor expansion of 0 in b
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [taylor]: Taking taylor expansion of 0 in d
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
6.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
6.022 * [taylor]: Taking taylor expansion of 0 in d
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
6.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.023 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
6.023 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
6.023 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
6.023 * [taylor]: Taking taylor expansion of (* a c) in d
6.023 * [taylor]: Taking taylor expansion of a in d
6.023 * [backup-simplify]: Simplify a into a
6.023 * [taylor]: Taking taylor expansion of c in d
6.023 * [backup-simplify]: Simplify c into c
6.023 * [taylor]: Taking taylor expansion of (* b d) in d
6.023 * [taylor]: Taking taylor expansion of b in d
6.023 * [backup-simplify]: Simplify b into b
6.023 * [taylor]: Taking taylor expansion of d in d
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
6.023 * [taylor]: Taking taylor expansion of (* a c) in b
6.023 * [taylor]: Taking taylor expansion of a in b
6.023 * [backup-simplify]: Simplify a into a
6.023 * [taylor]: Taking taylor expansion of c in b
6.023 * [backup-simplify]: Simplify c into c
6.023 * [taylor]: Taking taylor expansion of (* b d) in b
6.023 * [taylor]: Taking taylor expansion of b in b
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [taylor]: Taking taylor expansion of d in b
6.024 * [backup-simplify]: Simplify d into d
6.024 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
6.024 * [taylor]: Taking taylor expansion of (* a c) in c
6.024 * [taylor]: Taking taylor expansion of a in c
6.024 * [backup-simplify]: Simplify a into a
6.024 * [taylor]: Taking taylor expansion of c in c
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [taylor]: Taking taylor expansion of (* b d) in c
6.024 * [taylor]: Taking taylor expansion of b in c
6.024 * [backup-simplify]: Simplify b into b
6.024 * [taylor]: Taking taylor expansion of d in c
6.024 * [backup-simplify]: Simplify d into d
6.024 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
6.024 * [taylor]: Taking taylor expansion of (* a c) in a
6.024 * [taylor]: Taking taylor expansion of a in a
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [taylor]: Taking taylor expansion of c in a
6.024 * [backup-simplify]: Simplify c into c
6.024 * [taylor]: Taking taylor expansion of (* b d) in a
6.024 * [taylor]: Taking taylor expansion of b in a
6.024 * [backup-simplify]: Simplify b into b
6.024 * [taylor]: Taking taylor expansion of d in a
6.024 * [backup-simplify]: Simplify d into d
6.024 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
6.024 * [taylor]: Taking taylor expansion of (* a c) in a
6.024 * [taylor]: Taking taylor expansion of a in a
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [taylor]: Taking taylor expansion of c in a
6.024 * [backup-simplify]: Simplify c into c
6.024 * [taylor]: Taking taylor expansion of (* b d) in a
6.024 * [taylor]: Taking taylor expansion of b in a
6.024 * [backup-simplify]: Simplify b into b
6.024 * [taylor]: Taking taylor expansion of d in a
6.024 * [backup-simplify]: Simplify d into d
6.024 * [backup-simplify]: Simplify (* 0 c) into 0
6.025 * [backup-simplify]: Simplify (* b d) into (* b d)
6.025 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
6.025 * [taylor]: Taking taylor expansion of (* b d) in c
6.025 * [taylor]: Taking taylor expansion of b in c
6.025 * [backup-simplify]: Simplify b into b
6.025 * [taylor]: Taking taylor expansion of d in c
6.025 * [backup-simplify]: Simplify d into d
6.025 * [backup-simplify]: Simplify (* b d) into (* b d)
6.025 * [taylor]: Taking taylor expansion of (* b d) in b
6.025 * [taylor]: Taking taylor expansion of b in b
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [taylor]: Taking taylor expansion of d in b
6.025 * [backup-simplify]: Simplify d into d
6.025 * [backup-simplify]: Simplify (* 0 d) into 0
6.025 * [taylor]: Taking taylor expansion of 0 in d
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.026 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.026 * [backup-simplify]: Simplify (+ c 0) into c
6.026 * [taylor]: Taking taylor expansion of c in c
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify 1 into 1
6.026 * [taylor]: Taking taylor expansion of 0 in b
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [taylor]: Taking taylor expansion of 0 in d
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.026 * [taylor]: Taking taylor expansion of 0 in b
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [taylor]: Taking taylor expansion of 0 in d
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.027 * [taylor]: Taking taylor expansion of d in d
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.028 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.028 * [taylor]: Taking taylor expansion of 0 in c
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [taylor]: Taking taylor expansion of 0 in b
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [taylor]: Taking taylor expansion of 0 in d
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
6.029 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
6.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.029 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.029 * [taylor]: Taking taylor expansion of (* b d) in d
6.029 * [taylor]: Taking taylor expansion of b in d
6.029 * [backup-simplify]: Simplify b into b
6.029 * [taylor]: Taking taylor expansion of d in d
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [backup-simplify]: Simplify (* b 0) into 0
6.030 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.030 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.030 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.030 * [taylor]: Taking taylor expansion of (* a c) in d
6.030 * [taylor]: Taking taylor expansion of a in d
6.030 * [backup-simplify]: Simplify a into a
6.030 * [taylor]: Taking taylor expansion of c in d
6.030 * [backup-simplify]: Simplify c into c
6.030 * [backup-simplify]: Simplify (* a c) into (* a c)
6.030 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.030 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.030 * [taylor]: Taking taylor expansion of (* b d) in b
6.030 * [taylor]: Taking taylor expansion of b in b
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [taylor]: Taking taylor expansion of d in b
6.030 * [backup-simplify]: Simplify d into d
6.030 * [backup-simplify]: Simplify (* 0 d) into 0
6.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.031 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.031 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.031 * [taylor]: Taking taylor expansion of (* a c) in b
6.031 * [taylor]: Taking taylor expansion of a in b
6.031 * [backup-simplify]: Simplify a into a
6.031 * [taylor]: Taking taylor expansion of c in b
6.031 * [backup-simplify]: Simplify c into c
6.031 * [backup-simplify]: Simplify (* a c) into (* a c)
6.031 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.031 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.031 * [taylor]: Taking taylor expansion of (* b d) in c
6.031 * [taylor]: Taking taylor expansion of b in c
6.031 * [backup-simplify]: Simplify b into b
6.031 * [taylor]: Taking taylor expansion of d in c
6.031 * [backup-simplify]: Simplify d into d
6.031 * [backup-simplify]: Simplify (* b d) into (* b d)
6.031 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.031 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.031 * [taylor]: Taking taylor expansion of (* a c) in c
6.031 * [taylor]: Taking taylor expansion of a in c
6.031 * [backup-simplify]: Simplify a into a
6.031 * [taylor]: Taking taylor expansion of c in c
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [backup-simplify]: Simplify (* a 0) into 0
6.031 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.031 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.032 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.032 * [taylor]: Taking taylor expansion of (* b d) in a
6.032 * [taylor]: Taking taylor expansion of b in a
6.032 * [backup-simplify]: Simplify b into b
6.032 * [taylor]: Taking taylor expansion of d in a
6.032 * [backup-simplify]: Simplify d into d
6.032 * [backup-simplify]: Simplify (* b d) into (* b d)
6.032 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.032 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.032 * [taylor]: Taking taylor expansion of (* a c) in a
6.032 * [taylor]: Taking taylor expansion of a in a
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.032 * [taylor]: Taking taylor expansion of c in a
6.032 * [backup-simplify]: Simplify c into c
6.032 * [backup-simplify]: Simplify (* 0 c) into 0
6.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.032 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.032 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.032 * [taylor]: Taking taylor expansion of (* b d) in a
6.032 * [taylor]: Taking taylor expansion of b in a
6.032 * [backup-simplify]: Simplify b into b
6.032 * [taylor]: Taking taylor expansion of d in a
6.032 * [backup-simplify]: Simplify d into d
6.032 * [backup-simplify]: Simplify (* b d) into (* b d)
6.032 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.032 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.032 * [taylor]: Taking taylor expansion of (* a c) in a
6.032 * [taylor]: Taking taylor expansion of a in a
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.032 * [taylor]: Taking taylor expansion of c in a
6.032 * [backup-simplify]: Simplify c into c
6.032 * [backup-simplify]: Simplify (* 0 c) into 0
6.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.033 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.033 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
6.033 * [taylor]: Taking taylor expansion of (/ 1 c) in c
6.033 * [taylor]: Taking taylor expansion of c in c
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify (/ 1 1) into 1
6.033 * [taylor]: Taking taylor expansion of 1 in b
6.033 * [backup-simplify]: Simplify 1 into 1
6.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
6.034 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.034 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.034 * [taylor]: Taking taylor expansion of (* b d) in c
6.034 * [taylor]: Taking taylor expansion of b in c
6.034 * [backup-simplify]: Simplify b into b
6.034 * [taylor]: Taking taylor expansion of d in c
6.034 * [backup-simplify]: Simplify d into d
6.034 * [backup-simplify]: Simplify (* b d) into (* b d)
6.034 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.035 * [taylor]: Taking taylor expansion of 0 in b
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [taylor]: Taking taylor expansion of 1 in d
6.035 * [backup-simplify]: Simplify 1 into 1
6.035 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.036 * [backup-simplify]: Simplify (+ 0 0) into 0
6.036 * [taylor]: Taking taylor expansion of 0 in c
6.036 * [backup-simplify]: Simplify 0 into 0
6.036 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.036 * [taylor]: Taking taylor expansion of (* b d) in b
6.036 * [taylor]: Taking taylor expansion of b in b
6.036 * [backup-simplify]: Simplify 0 into 0
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [taylor]: Taking taylor expansion of d in b
6.036 * [backup-simplify]: Simplify d into d
6.036 * [backup-simplify]: Simplify (* 0 d) into 0
6.036 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.036 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.036 * [taylor]: Taking taylor expansion of (/ 1 d) in d
6.036 * [taylor]: Taking taylor expansion of d in d
6.036 * [backup-simplify]: Simplify 0 into 0
6.036 * [backup-simplify]: Simplify 1 into 1
6.037 * [backup-simplify]: Simplify (/ 1 1) into 1
6.037 * [backup-simplify]: Simplify 1 into 1
6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.037 * [taylor]: Taking taylor expansion of 0 in b
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [taylor]: Taking taylor expansion of 0 in d
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [taylor]: Taking taylor expansion of 0 in d
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.038 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
6.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.039 * [backup-simplify]: Simplify (+ 0 0) into 0
6.039 * [taylor]: Taking taylor expansion of 0 in c
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [taylor]: Taking taylor expansion of 0 in b
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.040 * [taylor]: Taking taylor expansion of 0 in b
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.040 * [taylor]: Taking taylor expansion of 0 in b
6.040 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
6.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
6.041 * [taylor]: Taking taylor expansion of 0 in d
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [taylor]: Taking taylor expansion of 0 in d
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [taylor]: Taking taylor expansion of 0 in d
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [taylor]: Taking taylor expansion of 0 in d
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
6.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
6.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.044 * [backup-simplify]: Simplify (+ 0 0) into 0
6.044 * [taylor]: Taking taylor expansion of 0 in c
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [taylor]: Taking taylor expansion of 0 in b
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [taylor]: Taking taylor expansion of 0 in b
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.044 * [taylor]: Taking taylor expansion of 0 in b
6.044 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.045 * [taylor]: Taking taylor expansion of 0 in b
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [taylor]: Taking taylor expansion of 0 in d
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [taylor]: Taking taylor expansion of 0 in d
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [taylor]: Taking taylor expansion of 0 in d
6.045 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
6.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
6.046 * [taylor]: Taking taylor expansion of 0 in d
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [taylor]: Taking taylor expansion of 0 in d
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [taylor]: Taking taylor expansion of 0 in d
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [taylor]: Taking taylor expansion of 0 in d
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d))
6.047 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
6.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
6.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.047 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.047 * [taylor]: Taking taylor expansion of (* b d) in d
6.047 * [taylor]: Taking taylor expansion of b in d
6.047 * [backup-simplify]: Simplify b into b
6.047 * [taylor]: Taking taylor expansion of d in d
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (* b 0) into 0
6.047 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.047 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.047 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.047 * [taylor]: Taking taylor expansion of (* a c) in d
6.047 * [taylor]: Taking taylor expansion of a in d
6.047 * [backup-simplify]: Simplify a into a
6.047 * [taylor]: Taking taylor expansion of c in d
6.047 * [backup-simplify]: Simplify c into c
6.048 * [backup-simplify]: Simplify (* a c) into (* a c)
6.048 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.048 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.048 * [taylor]: Taking taylor expansion of (* b d) in b
6.048 * [taylor]: Taking taylor expansion of b in b
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.048 * [taylor]: Taking taylor expansion of d in b
6.048 * [backup-simplify]: Simplify d into d
6.048 * [backup-simplify]: Simplify (* 0 d) into 0
6.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.048 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.048 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.048 * [taylor]: Taking taylor expansion of (* a c) in b
6.048 * [taylor]: Taking taylor expansion of a in b
6.048 * [backup-simplify]: Simplify a into a
6.048 * [taylor]: Taking taylor expansion of c in b
6.048 * [backup-simplify]: Simplify c into c
6.048 * [backup-simplify]: Simplify (* a c) into (* a c)
6.048 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.048 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.048 * [taylor]: Taking taylor expansion of (* b d) in c
6.048 * [taylor]: Taking taylor expansion of b in c
6.048 * [backup-simplify]: Simplify b into b
6.048 * [taylor]: Taking taylor expansion of d in c
6.048 * [backup-simplify]: Simplify d into d
6.048 * [backup-simplify]: Simplify (* b d) into (* b d)
6.048 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.048 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.048 * [taylor]: Taking taylor expansion of (* a c) in c
6.048 * [taylor]: Taking taylor expansion of a in c
6.048 * [backup-simplify]: Simplify a into a
6.048 * [taylor]: Taking taylor expansion of c in c
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.049 * [backup-simplify]: Simplify (* a 0) into 0
6.049 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.049 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.049 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.049 * [taylor]: Taking taylor expansion of (* b d) in a
6.049 * [taylor]: Taking taylor expansion of b in a
6.049 * [backup-simplify]: Simplify b into b
6.049 * [taylor]: Taking taylor expansion of d in a
6.049 * [backup-simplify]: Simplify d into d
6.049 * [backup-simplify]: Simplify (* b d) into (* b d)
6.049 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.049 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.049 * [taylor]: Taking taylor expansion of (* a c) in a
6.049 * [taylor]: Taking taylor expansion of a in a
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.049 * [taylor]: Taking taylor expansion of c in a
6.049 * [backup-simplify]: Simplify c into c
6.049 * [backup-simplify]: Simplify (* 0 c) into 0
6.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.049 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.050 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.050 * [taylor]: Taking taylor expansion of (* b d) in a
6.050 * [taylor]: Taking taylor expansion of b in a
6.050 * [backup-simplify]: Simplify b into b
6.050 * [taylor]: Taking taylor expansion of d in a
6.050 * [backup-simplify]: Simplify d into d
6.050 * [backup-simplify]: Simplify (* b d) into (* b d)
6.050 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.050 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.050 * [taylor]: Taking taylor expansion of (* a c) in a
6.050 * [taylor]: Taking taylor expansion of a in a
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [taylor]: Taking taylor expansion of c in a
6.050 * [backup-simplify]: Simplify c into c
6.050 * [backup-simplify]: Simplify (* 0 c) into 0
6.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.050 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.050 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
6.050 * [taylor]: Taking taylor expansion of (/ 1 c) in c
6.050 * [taylor]: Taking taylor expansion of c in c
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (/ 1 1) into 1
6.051 * [taylor]: Taking taylor expansion of 1 in b
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
6.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
6.051 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.051 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.051 * [taylor]: Taking taylor expansion of (* b d) in c
6.051 * [taylor]: Taking taylor expansion of b in c
6.051 * [backup-simplify]: Simplify b into b
6.051 * [taylor]: Taking taylor expansion of d in c
6.051 * [backup-simplify]: Simplify d into d
6.051 * [backup-simplify]: Simplify (* b d) into (* b d)
6.051 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.052 * [taylor]: Taking taylor expansion of 0 in b
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [taylor]: Taking taylor expansion of 1 in d
6.052 * [backup-simplify]: Simplify 1 into 1
6.052 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.053 * [backup-simplify]: Simplify (+ 0 0) into 0
6.053 * [taylor]: Taking taylor expansion of 0 in c
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.053 * [taylor]: Taking taylor expansion of (* b d) in b
6.053 * [taylor]: Taking taylor expansion of b in b
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify 1 into 1
6.053 * [taylor]: Taking taylor expansion of d in b
6.053 * [backup-simplify]: Simplify d into d
6.053 * [backup-simplify]: Simplify (* 0 d) into 0
6.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.054 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.054 * [taylor]: Taking taylor expansion of (/ 1 d) in d
6.054 * [taylor]: Taking taylor expansion of d in d
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 1 into 1
6.054 * [backup-simplify]: Simplify (/ 1 1) into 1
6.054 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.055 * [taylor]: Taking taylor expansion of 0 in b
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [taylor]: Taking taylor expansion of 0 in d
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [taylor]: Taking taylor expansion of 0 in d
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
6.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.057 * [backup-simplify]: Simplify (+ 0 0) into 0
6.057 * [taylor]: Taking taylor expansion of 0 in c
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [taylor]: Taking taylor expansion of 0 in b
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.057 * [taylor]: Taking taylor expansion of 0 in b
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.057 * [taylor]: Taking taylor expansion of 0 in b
6.057 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
6.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
6.058 * [taylor]: Taking taylor expansion of 0 in d
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [taylor]: Taking taylor expansion of 0 in d
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [taylor]: Taking taylor expansion of 0 in d
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [taylor]: Taking taylor expansion of 0 in d
6.058 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
6.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
6.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
6.063 * [backup-simplify]: Simplify (+ 0 0) into 0
6.063 * [taylor]: Taking taylor expansion of 0 in c
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [taylor]: Taking taylor expansion of 0 in b
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [taylor]: Taking taylor expansion of 0 in b
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.064 * [taylor]: Taking taylor expansion of 0 in b
6.064 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.065 * [taylor]: Taking taylor expansion of 0 in b
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [taylor]: Taking taylor expansion of 0 in d
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [taylor]: Taking taylor expansion of 0 in d
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [taylor]: Taking taylor expansion of 0 in d
6.065 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
6.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
6.066 * [taylor]: Taking taylor expansion of 0 in d
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [taylor]: Taking taylor expansion of 0 in d
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [taylor]: Taking taylor expansion of 0 in d
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [taylor]: Taking taylor expansion of 0 in d
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d))
6.067 * * * [progress]: simplifying candidates
6.070 * [simplify]: Simplifying:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (+ (* a c) (* b d)))
  (- (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) 1)
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 1)
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) 1)
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))
  (* (exp (* a c)) (exp (* b d)))
  (log (+ (* a c) (* b d)))
  (exp (+ (* a c) (* b d)))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (cbrt (+ (* a c) (* b d)))
  (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (pow (* a c) 3) (pow (* b d) 3))
  (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))
  (- (* (* a c) (* a c)) (* (* b d) (* b d)))
  (- (* a c) (* b d))
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  b
  a
  (* -1 a)
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
6.072 * * [simplify]: iteration 0: 114 enodes
6.111 * * [simplify]: iteration 1: 278 enodes
6.194 * * [simplify]: iteration 2: 768 enodes
6.542 * * [simplify]: iteration 3: 2246 enodes
7.507 * * [simplify]: iteration complete: 5000 enodes
7.507 * * [simplify]: Extracting #0: cost 71 inf + 0
7.508 * * [simplify]: Extracting #1: cost 271 inf + 48
7.513 * * [simplify]: Extracting #2: cost 833 inf + 1392
7.538 * * [simplify]: Extracting #3: cost 1083 inf + 25893
7.574 * * [simplify]: Extracting #4: cost 585 inf + 162580
7.693 * * [simplify]: Extracting #5: cost 170 inf + 304555
7.811 * * [simplify]: Extracting #6: cost 14 inf + 356577
7.893 * * [simplify]: Extracting #7: cost 0 inf + 361589
7.969 * [simplify]: Simplified to:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (+ c d) (- c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (+ c d) (- c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (- (* b d)) (* a c))
  (- (sqrt (+ (* c c) (* d d))))
  (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))))
  (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (exp (+ (* a c) (* b d)))
  (log (+ (* a c) (* b d)))
  (exp (+ (* a c) (* b d)))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (cbrt (+ (* a c) (* b d)))
  (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (* (* (* a c) (* a c)) (* a c)) (* (* b d) (* (* b d) (* b d))))
  (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c)))
  (- (* (* a c) (* a c)) (* (* b d) (* b d)))
  (- (* a c) (* b d))
  d
  c
  (- c)
  d
  c
  (- c)
  b
  a
  (- a)
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
7.977 * * * [progress]: adding candidates to table
8.444 * * [progress]: iteration 4 / 4
8.444 * * * [progress]: picking best candidate
8.485 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
8.485 * * * [progress]: localizing error
8.518 * * * [progress]: generating rewritten candidates
8.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
8.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
8.531 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
8.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
8.565 * * * [progress]: generating series expansions
8.565 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
8.565 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
8.565 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
8.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.565 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.565 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.565 * [taylor]: Taking taylor expansion of c in d
8.565 * [backup-simplify]: Simplify c into c
8.565 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.565 * [taylor]: Taking taylor expansion of d in d
8.565 * [backup-simplify]: Simplify 0 into 0
8.565 * [backup-simplify]: Simplify 1 into 1
8.565 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.565 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.565 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.566 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.566 * [backup-simplify]: Simplify (+ 0 0) into 0
8.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.566 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.566 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.566 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.566 * [taylor]: Taking taylor expansion of c in c
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.566 * [taylor]: Taking taylor expansion of d in c
8.566 * [backup-simplify]: Simplify d into d
8.566 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.566 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.567 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.567 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.567 * [backup-simplify]: Simplify (+ 0 0) into 0
8.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.567 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.567 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.567 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.567 * [taylor]: Taking taylor expansion of c in c
8.567 * [backup-simplify]: Simplify 0 into 0
8.567 * [backup-simplify]: Simplify 1 into 1
8.567 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.567 * [taylor]: Taking taylor expansion of d in c
8.567 * [backup-simplify]: Simplify d into d
8.567 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.567 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.567 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.567 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.568 * [backup-simplify]: Simplify (+ 0 0) into 0
8.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.568 * [taylor]: Taking taylor expansion of d in d
8.568 * [backup-simplify]: Simplify 0 into 0
8.568 * [backup-simplify]: Simplify 1 into 1
8.568 * [backup-simplify]: Simplify 0 into 0
8.568 * [taylor]: Taking taylor expansion of 0 in d
8.568 * [backup-simplify]: Simplify 0 into 0
8.568 * [backup-simplify]: Simplify 0 into 0
8.568 * [backup-simplify]: Simplify 1 into 1
8.568 * [backup-simplify]: Simplify (* 1 1) into 1
8.569 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.569 * [backup-simplify]: Simplify (+ 1 0) into 1
8.569 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.569 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
8.569 * [taylor]: Taking taylor expansion of 1/2 in d
8.569 * [backup-simplify]: Simplify 1/2 into 1/2
8.569 * [taylor]: Taking taylor expansion of d in d
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.570 * [backup-simplify]: Simplify 0 into 0
8.570 * [backup-simplify]: Simplify 0 into 0
8.570 * [backup-simplify]: Simplify 0 into 0
8.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.571 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.571 * [backup-simplify]: Simplify (+ 0 0) into 0
8.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
8.572 * [taylor]: Taking taylor expansion of 0 in d
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
8.575 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.575 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.575 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.575 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.575 * [taylor]: Taking taylor expansion of c in d
8.575 * [backup-simplify]: Simplify c into c
8.575 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.575 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.576 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.576 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.576 * [taylor]: Taking taylor expansion of d in d
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify 1 into 1
8.576 * [backup-simplify]: Simplify (* 1 1) into 1
8.576 * [backup-simplify]: Simplify (/ 1 1) into 1
8.576 * [backup-simplify]: Simplify (+ 0 1) into 1
8.577 * [backup-simplify]: Simplify (sqrt 1) into 1
8.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify (+ 0 0) into 0
8.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.578 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.578 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.578 * [taylor]: Taking taylor expansion of c in c
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify 1 into 1
8.579 * [backup-simplify]: Simplify (* 1 1) into 1
8.579 * [backup-simplify]: Simplify (/ 1 1) into 1
8.579 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.579 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.579 * [taylor]: Taking taylor expansion of d in c
8.579 * [backup-simplify]: Simplify d into d
8.579 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.579 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.579 * [backup-simplify]: Simplify (+ 1 0) into 1
8.580 * [backup-simplify]: Simplify (sqrt 1) into 1
8.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.581 * [backup-simplify]: Simplify (+ 0 0) into 0
8.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.581 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.581 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.581 * [taylor]: Taking taylor expansion of c in c
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 1 into 1
8.581 * [backup-simplify]: Simplify (* 1 1) into 1
8.582 * [backup-simplify]: Simplify (/ 1 1) into 1
8.582 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.582 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.582 * [taylor]: Taking taylor expansion of d in c
8.582 * [backup-simplify]: Simplify d into d
8.582 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.582 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.582 * [backup-simplify]: Simplify (+ 1 0) into 1
8.583 * [backup-simplify]: Simplify (sqrt 1) into 1
8.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.584 * [backup-simplify]: Simplify (+ 0 0) into 0
8.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.584 * [taylor]: Taking taylor expansion of 1 in d
8.584 * [backup-simplify]: Simplify 1 into 1
8.584 * [taylor]: Taking taylor expansion of 0 in d
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify 1 into 1
8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.587 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.587 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.587 * [taylor]: Taking taylor expansion of 1/2 in d
8.587 * [backup-simplify]: Simplify 1/2 into 1/2
8.587 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.587 * [taylor]: Taking taylor expansion of d in d
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 1 into 1
8.587 * [backup-simplify]: Simplify (* 1 1) into 1
8.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.590 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.590 * [backup-simplify]: Simplify (+ 0 0) into 0
8.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.591 * [taylor]: Taking taylor expansion of 0 in d
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
8.592 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.592 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.592 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.592 * [taylor]: Taking taylor expansion of c in d
8.592 * [backup-simplify]: Simplify c into c
8.592 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.592 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.592 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.592 * [taylor]: Taking taylor expansion of d in d
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 1 into 1
8.593 * [backup-simplify]: Simplify (* 1 1) into 1
8.593 * [backup-simplify]: Simplify (/ 1 1) into 1
8.593 * [backup-simplify]: Simplify (+ 0 1) into 1
8.593 * [backup-simplify]: Simplify (sqrt 1) into 1
8.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.594 * [backup-simplify]: Simplify (+ 0 0) into 0
8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.595 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.595 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.595 * [taylor]: Taking taylor expansion of c in c
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [backup-simplify]: Simplify 1 into 1
8.595 * [backup-simplify]: Simplify (* 1 1) into 1
8.595 * [backup-simplify]: Simplify (/ 1 1) into 1
8.595 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.595 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.595 * [taylor]: Taking taylor expansion of d in c
8.595 * [backup-simplify]: Simplify d into d
8.595 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.596 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.596 * [backup-simplify]: Simplify (+ 1 0) into 1
8.596 * [backup-simplify]: Simplify (sqrt 1) into 1
8.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.597 * [backup-simplify]: Simplify (+ 0 0) into 0
8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.598 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.598 * [taylor]: Taking taylor expansion of c in c
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [backup-simplify]: Simplify (* 1 1) into 1
8.598 * [backup-simplify]: Simplify (/ 1 1) into 1
8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.598 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.598 * [taylor]: Taking taylor expansion of d in c
8.598 * [backup-simplify]: Simplify d into d
8.598 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.598 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.599 * [backup-simplify]: Simplify (+ 1 0) into 1
8.599 * [backup-simplify]: Simplify (sqrt 1) into 1
8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.600 * [backup-simplify]: Simplify (+ 0 0) into 0
8.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.600 * [taylor]: Taking taylor expansion of 1 in d
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [taylor]: Taking taylor expansion of 0 in d
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.602 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.603 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.603 * [taylor]: Taking taylor expansion of 1/2 in d
8.603 * [backup-simplify]: Simplify 1/2 into 1/2
8.603 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.603 * [taylor]: Taking taylor expansion of d in d
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [backup-simplify]: Simplify (* 1 1) into 1
8.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.605 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.606 * [backup-simplify]: Simplify (+ 0 0) into 0
8.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.606 * [taylor]: Taking taylor expansion of 0 in d
8.606 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.607 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
8.608 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
8.608 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
8.608 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
8.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.608 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.608 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.608 * [taylor]: Taking taylor expansion of c in d
8.608 * [backup-simplify]: Simplify c into c
8.608 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.608 * [taylor]: Taking taylor expansion of d in d
8.608 * [backup-simplify]: Simplify 0 into 0
8.608 * [backup-simplify]: Simplify 1 into 1
8.608 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.608 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.608 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.608 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.608 * [backup-simplify]: Simplify (+ 0 0) into 0
8.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.609 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.609 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.609 * [taylor]: Taking taylor expansion of c in c
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 1 into 1
8.609 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.609 * [taylor]: Taking taylor expansion of d in c
8.609 * [backup-simplify]: Simplify d into d
8.609 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.609 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.609 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.609 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.609 * [backup-simplify]: Simplify (+ 0 0) into 0
8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.609 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.609 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.609 * [taylor]: Taking taylor expansion of c in c
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 1 into 1
8.609 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.609 * [taylor]: Taking taylor expansion of d in c
8.609 * [backup-simplify]: Simplify d into d
8.609 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.609 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.610 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.610 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.610 * [backup-simplify]: Simplify (+ 0 0) into 0
8.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.610 * [taylor]: Taking taylor expansion of d in d
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 1 into 1
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [taylor]: Taking taylor expansion of 0 in d
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 1 into 1
8.610 * [backup-simplify]: Simplify (* 1 1) into 1
8.611 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.611 * [backup-simplify]: Simplify (+ 1 0) into 1
8.611 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.611 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
8.611 * [taylor]: Taking taylor expansion of 1/2 in d
8.611 * [backup-simplify]: Simplify 1/2 into 1/2
8.612 * [taylor]: Taking taylor expansion of d in d
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 0 into 0
8.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.613 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.614 * [backup-simplify]: Simplify (+ 0 0) into 0
8.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
8.614 * [taylor]: Taking taylor expansion of 0 in d
8.614 * [backup-simplify]: Simplify 0 into 0
8.614 * [backup-simplify]: Simplify 0 into 0
8.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.614 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
8.615 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.615 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.615 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.615 * [taylor]: Taking taylor expansion of c in d
8.615 * [backup-simplify]: Simplify c into c
8.615 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.615 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.615 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.615 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.615 * [taylor]: Taking taylor expansion of d in d
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [backup-simplify]: Simplify (* 1 1) into 1
8.616 * [backup-simplify]: Simplify (/ 1 1) into 1
8.616 * [backup-simplify]: Simplify (+ 0 1) into 1
8.616 * [backup-simplify]: Simplify (sqrt 1) into 1
8.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.617 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.618 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.618 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.618 * [taylor]: Taking taylor expansion of c in c
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [backup-simplify]: Simplify (* 1 1) into 1
8.619 * [backup-simplify]: Simplify (/ 1 1) into 1
8.619 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.619 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.619 * [taylor]: Taking taylor expansion of d in c
8.619 * [backup-simplify]: Simplify d into d
8.619 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.619 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.619 * [backup-simplify]: Simplify (+ 1 0) into 1
8.619 * [backup-simplify]: Simplify (sqrt 1) into 1
8.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.620 * [backup-simplify]: Simplify (+ 0 0) into 0
8.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.621 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.621 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.621 * [taylor]: Taking taylor expansion of c in c
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 1 into 1
8.621 * [backup-simplify]: Simplify (* 1 1) into 1
8.621 * [backup-simplify]: Simplify (/ 1 1) into 1
8.621 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.621 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.621 * [taylor]: Taking taylor expansion of d in c
8.621 * [backup-simplify]: Simplify d into d
8.622 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.622 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.622 * [backup-simplify]: Simplify (+ 1 0) into 1
8.622 * [backup-simplify]: Simplify (sqrt 1) into 1
8.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.623 * [backup-simplify]: Simplify (+ 0 0) into 0
8.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.624 * [taylor]: Taking taylor expansion of 1 in d
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [taylor]: Taking taylor expansion of 0 in d
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.625 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.626 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.626 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.626 * [taylor]: Taking taylor expansion of 1/2 in d
8.626 * [backup-simplify]: Simplify 1/2 into 1/2
8.626 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.626 * [taylor]: Taking taylor expansion of d in d
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 1 into 1
8.626 * [backup-simplify]: Simplify (* 1 1) into 1
8.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.629 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.629 * [backup-simplify]: Simplify (+ 0 0) into 0
8.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.629 * [taylor]: Taking taylor expansion of 0 in d
8.629 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
8.631 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.631 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.631 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.631 * [taylor]: Taking taylor expansion of c in d
8.631 * [backup-simplify]: Simplify c into c
8.631 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.631 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.631 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.631 * [taylor]: Taking taylor expansion of d in d
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify 1 into 1
8.631 * [backup-simplify]: Simplify (* 1 1) into 1
8.632 * [backup-simplify]: Simplify (/ 1 1) into 1
8.632 * [backup-simplify]: Simplify (+ 0 1) into 1
8.632 * [backup-simplify]: Simplify (sqrt 1) into 1
8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.633 * [backup-simplify]: Simplify (+ 0 0) into 0
8.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.634 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.634 * [taylor]: Taking taylor expansion of c in c
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.634 * [backup-simplify]: Simplify (* 1 1) into 1
8.634 * [backup-simplify]: Simplify (/ 1 1) into 1
8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.634 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.634 * [taylor]: Taking taylor expansion of d in c
8.634 * [backup-simplify]: Simplify d into d
8.634 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.635 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.635 * [backup-simplify]: Simplify (+ 1 0) into 1
8.635 * [backup-simplify]: Simplify (sqrt 1) into 1
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.636 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.637 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.637 * [taylor]: Taking taylor expansion of c in c
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify 1 into 1
8.637 * [backup-simplify]: Simplify (* 1 1) into 1
8.637 * [backup-simplify]: Simplify (/ 1 1) into 1
8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.637 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.637 * [taylor]: Taking taylor expansion of d in c
8.637 * [backup-simplify]: Simplify d into d
8.637 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.637 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.638 * [backup-simplify]: Simplify (+ 1 0) into 1
8.638 * [backup-simplify]: Simplify (sqrt 1) into 1
8.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.639 * [backup-simplify]: Simplify (+ 0 0) into 0
8.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.640 * [taylor]: Taking taylor expansion of 1 in d
8.640 * [backup-simplify]: Simplify 1 into 1
8.640 * [taylor]: Taking taylor expansion of 0 in d
8.640 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify 1 into 1
8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.641 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.642 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.642 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.642 * [taylor]: Taking taylor expansion of 1/2 in d
8.642 * [backup-simplify]: Simplify 1/2 into 1/2
8.642 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.642 * [taylor]: Taking taylor expansion of d in d
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 1 into 1
8.642 * [backup-simplify]: Simplify (* 1 1) into 1
8.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.644 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.645 * [backup-simplify]: Simplify (+ 0 0) into 0
8.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.645 * [taylor]: Taking taylor expansion of 0 in d
8.645 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
8.646 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
8.647 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
8.647 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
8.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.647 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.647 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.647 * [taylor]: Taking taylor expansion of c in d
8.647 * [backup-simplify]: Simplify c into c
8.647 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.647 * [taylor]: Taking taylor expansion of d in d
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.647 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.647 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.647 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.647 * [backup-simplify]: Simplify (+ 0 0) into 0
8.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.647 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.647 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.647 * [taylor]: Taking taylor expansion of c in c
8.648 * [backup-simplify]: Simplify 0 into 0
8.648 * [backup-simplify]: Simplify 1 into 1
8.648 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.648 * [taylor]: Taking taylor expansion of d in c
8.648 * [backup-simplify]: Simplify d into d
8.648 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.648 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.648 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.648 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.648 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.648 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.648 * [taylor]: Taking taylor expansion of c in c
8.648 * [backup-simplify]: Simplify 0 into 0
8.648 * [backup-simplify]: Simplify 1 into 1
8.648 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.648 * [taylor]: Taking taylor expansion of d in c
8.648 * [backup-simplify]: Simplify d into d
8.648 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.648 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.649 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.649 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.649 * [backup-simplify]: Simplify (+ 0 0) into 0
8.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.649 * [taylor]: Taking taylor expansion of d in d
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [taylor]: Taking taylor expansion of 0 in d
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [backup-simplify]: Simplify (* 1 1) into 1
8.650 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.650 * [backup-simplify]: Simplify (+ 1 0) into 1
8.650 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.650 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
8.650 * [taylor]: Taking taylor expansion of 1/2 in d
8.650 * [backup-simplify]: Simplify 1/2 into 1/2
8.650 * [taylor]: Taking taylor expansion of d in d
8.650 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify 1 into 1
8.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.651 * [backup-simplify]: Simplify 0 into 0
8.651 * [backup-simplify]: Simplify 0 into 0
8.651 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.652 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.652 * [backup-simplify]: Simplify (+ 0 0) into 0
8.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
8.653 * [taylor]: Taking taylor expansion of 0 in d
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
8.653 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.654 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.654 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.654 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.654 * [taylor]: Taking taylor expansion of c in d
8.654 * [backup-simplify]: Simplify c into c
8.654 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.654 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.654 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.654 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.654 * [taylor]: Taking taylor expansion of d in d
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify 1 into 1
8.654 * [backup-simplify]: Simplify (* 1 1) into 1
8.654 * [backup-simplify]: Simplify (/ 1 1) into 1
8.655 * [backup-simplify]: Simplify (+ 0 1) into 1
8.655 * [backup-simplify]: Simplify (sqrt 1) into 1
8.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ 0 0) into 0
8.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.656 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.656 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.656 * [taylor]: Taking taylor expansion of c in c
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify 1 into 1
8.657 * [backup-simplify]: Simplify (* 1 1) into 1
8.657 * [backup-simplify]: Simplify (/ 1 1) into 1
8.657 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.657 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.657 * [taylor]: Taking taylor expansion of d in c
8.657 * [backup-simplify]: Simplify d into d
8.657 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.657 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.657 * [backup-simplify]: Simplify (+ 1 0) into 1
8.658 * [backup-simplify]: Simplify (sqrt 1) into 1
8.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.659 * [backup-simplify]: Simplify (+ 0 0) into 0
8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.659 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.659 * [taylor]: Taking taylor expansion of c in c
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.659 * [backup-simplify]: Simplify (* 1 1) into 1
8.660 * [backup-simplify]: Simplify (/ 1 1) into 1
8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.660 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.660 * [taylor]: Taking taylor expansion of d in c
8.660 * [backup-simplify]: Simplify d into d
8.660 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.660 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.660 * [backup-simplify]: Simplify (+ 1 0) into 1
8.660 * [backup-simplify]: Simplify (sqrt 1) into 1
8.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.661 * [backup-simplify]: Simplify (+ 0 0) into 0
8.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.662 * [taylor]: Taking taylor expansion of 1 in d
8.662 * [backup-simplify]: Simplify 1 into 1
8.662 * [taylor]: Taking taylor expansion of 0 in d
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify 1 into 1
8.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.664 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.664 * [taylor]: Taking taylor expansion of 1/2 in d
8.664 * [backup-simplify]: Simplify 1/2 into 1/2
8.664 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.664 * [taylor]: Taking taylor expansion of d in d
8.664 * [backup-simplify]: Simplify 0 into 0
8.664 * [backup-simplify]: Simplify 1 into 1
8.664 * [backup-simplify]: Simplify (* 1 1) into 1
8.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.671 * [backup-simplify]: Simplify (+ 0 0) into 0
8.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.671 * [taylor]: Taking taylor expansion of 0 in d
8.671 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
8.673 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.673 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.673 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.673 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.673 * [taylor]: Taking taylor expansion of c in d
8.673 * [backup-simplify]: Simplify c into c
8.673 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.673 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.673 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.673 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.673 * [taylor]: Taking taylor expansion of d in d
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (* 1 1) into 1
8.674 * [backup-simplify]: Simplify (/ 1 1) into 1
8.674 * [backup-simplify]: Simplify (+ 0 1) into 1
8.674 * [backup-simplify]: Simplify (sqrt 1) into 1
8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [backup-simplify]: Simplify (+ 0 0) into 0
8.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.676 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.676 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.676 * [taylor]: Taking taylor expansion of c in c
8.676 * [backup-simplify]: Simplify 0 into 0
8.676 * [backup-simplify]: Simplify 1 into 1
8.676 * [backup-simplify]: Simplify (* 1 1) into 1
8.676 * [backup-simplify]: Simplify (/ 1 1) into 1
8.676 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.676 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.676 * [taylor]: Taking taylor expansion of d in c
8.676 * [backup-simplify]: Simplify d into d
8.676 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.676 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.677 * [backup-simplify]: Simplify (+ 1 0) into 1
8.677 * [backup-simplify]: Simplify (sqrt 1) into 1
8.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.678 * [backup-simplify]: Simplify (+ 0 0) into 0
8.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.678 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.679 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.679 * [taylor]: Taking taylor expansion of c in c
8.679 * [backup-simplify]: Simplify 0 into 0
8.679 * [backup-simplify]: Simplify 1 into 1
8.679 * [backup-simplify]: Simplify (* 1 1) into 1
8.679 * [backup-simplify]: Simplify (/ 1 1) into 1
8.679 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.679 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.679 * [taylor]: Taking taylor expansion of d in c
8.679 * [backup-simplify]: Simplify d into d
8.679 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.679 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.680 * [backup-simplify]: Simplify (+ 1 0) into 1
8.680 * [backup-simplify]: Simplify (sqrt 1) into 1
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.681 * [backup-simplify]: Simplify (+ 0 0) into 0
8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.681 * [taylor]: Taking taylor expansion of 1 in d
8.681 * [backup-simplify]: Simplify 1 into 1
8.681 * [taylor]: Taking taylor expansion of 0 in d
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify 1 into 1
8.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.683 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.683 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.683 * [taylor]: Taking taylor expansion of 1/2 in d
8.683 * [backup-simplify]: Simplify 1/2 into 1/2
8.683 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.683 * [taylor]: Taking taylor expansion of d in d
8.683 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify 1 into 1
8.684 * [backup-simplify]: Simplify (* 1 1) into 1
8.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.687 * [backup-simplify]: Simplify (+ 0 0) into 0
8.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.687 * [taylor]: Taking taylor expansion of 0 in d
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
8.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
8.689 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
8.689 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
8.689 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
8.689 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.689 * [taylor]: Taking taylor expansion of (* a c) in d
8.689 * [taylor]: Taking taylor expansion of a in d
8.689 * [backup-simplify]: Simplify a into a
8.689 * [taylor]: Taking taylor expansion of c in d
8.689 * [backup-simplify]: Simplify c into c
8.689 * [taylor]: Taking taylor expansion of (* b d) in d
8.689 * [taylor]: Taking taylor expansion of b in d
8.689 * [backup-simplify]: Simplify b into b
8.689 * [taylor]: Taking taylor expansion of d in d
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
8.689 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
8.689 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.689 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.689 * [taylor]: Taking taylor expansion of c in d
8.689 * [backup-simplify]: Simplify c into c
8.689 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.689 * [taylor]: Taking taylor expansion of d in d
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.689 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.689 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.689 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
8.689 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.690 * [backup-simplify]: Simplify (+ 0 0) into 0
8.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
8.690 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
8.690 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.690 * [taylor]: Taking taylor expansion of (* a c) in b
8.690 * [taylor]: Taking taylor expansion of a in b
8.690 * [backup-simplify]: Simplify a into a
8.690 * [taylor]: Taking taylor expansion of c in b
8.690 * [backup-simplify]: Simplify c into c
8.690 * [taylor]: Taking taylor expansion of (* b d) in b
8.690 * [taylor]: Taking taylor expansion of b in b
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 1 into 1
8.690 * [taylor]: Taking taylor expansion of d in b
8.690 * [backup-simplify]: Simplify d into d
8.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
8.690 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
8.690 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
8.690 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.690 * [taylor]: Taking taylor expansion of c in b
8.690 * [backup-simplify]: Simplify c into c
8.690 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.690 * [taylor]: Taking taylor expansion of d in b
8.690 * [backup-simplify]: Simplify d into d
8.690 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.690 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.691 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.691 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
8.691 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
8.691 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.691 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.691 * [backup-simplify]: Simplify (+ 0 0) into 0
8.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
8.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
8.692 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
8.692 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.692 * [taylor]: Taking taylor expansion of (* a c) in c
8.692 * [taylor]: Taking taylor expansion of a in c
8.692 * [backup-simplify]: Simplify a into a
8.692 * [taylor]: Taking taylor expansion of c in c
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 1 into 1
8.692 * [taylor]: Taking taylor expansion of (* b d) in c
8.692 * [taylor]: Taking taylor expansion of b in c
8.692 * [backup-simplify]: Simplify b into b
8.692 * [taylor]: Taking taylor expansion of d in c
8.692 * [backup-simplify]: Simplify d into d
8.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
8.692 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
8.692 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.692 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.692 * [taylor]: Taking taylor expansion of c in c
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 1 into 1
8.692 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.692 * [taylor]: Taking taylor expansion of d in c
8.692 * [backup-simplify]: Simplify d into d
8.692 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.692 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.692 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.692 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
8.692 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.693 * [backup-simplify]: Simplify (+ 0 0) into 0
8.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
8.693 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
8.693 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.693 * [taylor]: Taking taylor expansion of (* a c) in a
8.693 * [taylor]: Taking taylor expansion of a in a
8.693 * [backup-simplify]: Simplify 0 into 0
8.693 * [backup-simplify]: Simplify 1 into 1
8.693 * [taylor]: Taking taylor expansion of c in a
8.693 * [backup-simplify]: Simplify c into c
8.693 * [taylor]: Taking taylor expansion of (* b d) in a
8.693 * [taylor]: Taking taylor expansion of b in a
8.693 * [backup-simplify]: Simplify b into b
8.693 * [taylor]: Taking taylor expansion of d in a
8.693 * [backup-simplify]: Simplify d into d
8.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
8.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
8.693 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
8.693 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.693 * [taylor]: Taking taylor expansion of c in a
8.693 * [backup-simplify]: Simplify c into c
8.693 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.693 * [taylor]: Taking taylor expansion of d in a
8.693 * [backup-simplify]: Simplify d into d
8.693 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.693 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.693 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.694 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
8.694 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
8.694 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.694 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.694 * [backup-simplify]: Simplify (+ 0 0) into 0
8.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
8.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
8.695 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
8.695 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.695 * [taylor]: Taking taylor expansion of (* a c) in a
8.695 * [taylor]: Taking taylor expansion of a in a
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 1 into 1
8.695 * [taylor]: Taking taylor expansion of c in a
8.695 * [backup-simplify]: Simplify c into c
8.695 * [taylor]: Taking taylor expansion of (* b d) in a
8.695 * [taylor]: Taking taylor expansion of b in a
8.695 * [backup-simplify]: Simplify b into b
8.695 * [taylor]: Taking taylor expansion of d in a
8.695 * [backup-simplify]: Simplify d into d
8.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
8.695 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
8.695 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
8.695 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.695 * [taylor]: Taking taylor expansion of c in a
8.695 * [backup-simplify]: Simplify c into c
8.695 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.695 * [taylor]: Taking taylor expansion of d in a
8.695 * [backup-simplify]: Simplify d into d
8.695 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.695 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.695 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.695 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
8.696 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
8.696 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.696 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.696 * [backup-simplify]: Simplify (+ 0 0) into 0
8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
8.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
8.697 * [backup-simplify]: Simplify (* 0 c) into 0
8.697 * [backup-simplify]: Simplify (* b d) into (* b d)
8.697 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.697 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
8.697 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
8.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
8.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
8.697 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.697 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.697 * [taylor]: Taking taylor expansion of c in c
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 1 into 1
8.697 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.697 * [taylor]: Taking taylor expansion of d in c
8.697 * [backup-simplify]: Simplify d into d
8.697 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.697 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.697 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.697 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
8.698 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.698 * [backup-simplify]: Simplify (+ 0 0) into 0
8.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
8.698 * [taylor]: Taking taylor expansion of (* b d) in c
8.698 * [taylor]: Taking taylor expansion of b in c
8.698 * [backup-simplify]: Simplify b into b
8.698 * [taylor]: Taking taylor expansion of d in c
8.698 * [backup-simplify]: Simplify d into d
8.698 * [backup-simplify]: Simplify (* b d) into (* b d)
8.698 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
8.698 * [taylor]: Taking taylor expansion of b in b
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [taylor]: Taking taylor expansion of 0 in d
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 0 into 0
8.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.699 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.699 * [backup-simplify]: Simplify (+ c 0) into c
8.699 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
8.699 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
8.699 * [taylor]: Taking taylor expansion of c in c
8.699 * [backup-simplify]: Simplify 0 into 0
8.699 * [backup-simplify]: Simplify 1 into 1
8.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
8.699 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
8.699 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.699 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.699 * [taylor]: Taking taylor expansion of c in c
8.699 * [backup-simplify]: Simplify 0 into 0
8.699 * [backup-simplify]: Simplify 1 into 1
8.699 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.699 * [taylor]: Taking taylor expansion of d in c
8.699 * [backup-simplify]: Simplify d into d
8.699 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.699 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.699 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.699 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
8.700 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.700 * [backup-simplify]: Simplify (+ 0 0) into 0
8.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
8.700 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
8.700 * [taylor]: Taking taylor expansion of 0 in b
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [taylor]: Taking taylor expansion of 0 in d
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.700 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
8.700 * [taylor]: Taking taylor expansion of 0 in b
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [taylor]: Taking taylor expansion of 0 in d
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [taylor]: Taking taylor expansion of 1 in d
8.700 * [backup-simplify]: Simplify 1 into 1
8.700 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.701 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.701 * [backup-simplify]: Simplify (+ 0 0) into 0
8.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
8.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
8.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.703 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.703 * [backup-simplify]: Simplify (+ 0 0) into 0
8.704 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
8.704 * [taylor]: Taking taylor expansion of 0 in c
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [taylor]: Taking taylor expansion of 0 in b
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [taylor]: Taking taylor expansion of 0 in d
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
8.704 * [taylor]: Taking taylor expansion of (/ 1 d) in b
8.704 * [taylor]: Taking taylor expansion of d in b
8.704 * [backup-simplify]: Simplify d into d
8.704 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.704 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.704 * [taylor]: Taking taylor expansion of d in d
8.704 * [backup-simplify]: Simplify 0 into 0
8.704 * [backup-simplify]: Simplify 1 into 1
8.704 * [backup-simplify]: Simplify (/ 1 1) into 1
8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.705 * [backup-simplify]: Simplify (* 1 1) into 1
8.706 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.706 * [backup-simplify]: Simplify (+ 1 0) into 1
8.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
8.707 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
8.707 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
8.707 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
8.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
8.707 * [taylor]: Taking taylor expansion of 1/2 in b
8.707 * [backup-simplify]: Simplify 1/2 into 1/2
8.707 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
8.707 * [taylor]: Taking taylor expansion of b in b
8.707 * [backup-simplify]: Simplify 0 into 0
8.707 * [backup-simplify]: Simplify 1 into 1
8.707 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.708 * [taylor]: Taking taylor expansion of d in b
8.708 * [backup-simplify]: Simplify d into d
8.708 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.708 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.708 * [taylor]: Taking taylor expansion of 0 in d
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [taylor]: Taking taylor expansion of 0 in d
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [taylor]: Taking taylor expansion of 0 in d
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
8.708 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.708 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
8.708 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
8.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.708 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.709 * [taylor]: Taking taylor expansion of (* b d) in d
8.709 * [taylor]: Taking taylor expansion of b in d
8.709 * [backup-simplify]: Simplify b into b
8.709 * [taylor]: Taking taylor expansion of d in d
8.709 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify 1 into 1
8.709 * [backup-simplify]: Simplify (* b 0) into 0
8.709 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.709 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.709 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.709 * [taylor]: Taking taylor expansion of (* a c) in d
8.709 * [taylor]: Taking taylor expansion of a in d
8.709 * [backup-simplify]: Simplify a into a
8.709 * [taylor]: Taking taylor expansion of c in d
8.709 * [backup-simplify]: Simplify c into c
8.709 * [backup-simplify]: Simplify (* a c) into (* a c)
8.709 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
8.709 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.709 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.709 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.709 * [taylor]: Taking taylor expansion of c in d
8.709 * [backup-simplify]: Simplify c into c
8.709 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.709 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.709 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.709 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.709 * [taylor]: Taking taylor expansion of d in d
8.709 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify 1 into 1
8.710 * [backup-simplify]: Simplify (* 1 1) into 1
8.710 * [backup-simplify]: Simplify (/ 1 1) into 1
8.710 * [backup-simplify]: Simplify (+ 0 1) into 1
8.710 * [backup-simplify]: Simplify (/ 1 1) into 1
8.711 * [backup-simplify]: Simplify (sqrt 1) into 1
8.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.712 * [backup-simplify]: Simplify (+ 0 0) into 0
8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.713 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.713 * [taylor]: Taking taylor expansion of (* b d) in b
8.713 * [taylor]: Taking taylor expansion of b in b
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.713 * [taylor]: Taking taylor expansion of d in b
8.713 * [backup-simplify]: Simplify d into d
8.713 * [backup-simplify]: Simplify (* 0 d) into 0
8.713 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.713 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.713 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.713 * [taylor]: Taking taylor expansion of (* a c) in b
8.713 * [taylor]: Taking taylor expansion of a in b
8.713 * [backup-simplify]: Simplify a into a
8.713 * [taylor]: Taking taylor expansion of c in b
8.713 * [backup-simplify]: Simplify c into c
8.713 * [backup-simplify]: Simplify (* a c) into (* a c)
8.713 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
8.713 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.713 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.713 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.713 * [taylor]: Taking taylor expansion of c in b
8.713 * [backup-simplify]: Simplify c into c
8.713 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.713 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.713 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.713 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.713 * [taylor]: Taking taylor expansion of d in b
8.713 * [backup-simplify]: Simplify d into d
8.714 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.714 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.714 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.714 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.714 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.714 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.714 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.715 * [backup-simplify]: Simplify (+ 0 0) into 0
8.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.715 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.715 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.715 * [taylor]: Taking taylor expansion of (* b d) in c
8.716 * [taylor]: Taking taylor expansion of b in c
8.716 * [backup-simplify]: Simplify b into b
8.716 * [taylor]: Taking taylor expansion of d in c
8.716 * [backup-simplify]: Simplify d into d
8.716 * [backup-simplify]: Simplify (* b d) into (* b d)
8.716 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.716 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.716 * [taylor]: Taking taylor expansion of (* a c) in c
8.716 * [taylor]: Taking taylor expansion of a in c
8.716 * [backup-simplify]: Simplify a into a
8.716 * [taylor]: Taking taylor expansion of c in c
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 1 into 1
8.716 * [backup-simplify]: Simplify (* a 0) into 0
8.716 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.716 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.716 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.716 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.716 * [taylor]: Taking taylor expansion of c in c
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 1 into 1
8.716 * [backup-simplify]: Simplify (* 1 1) into 1
8.717 * [backup-simplify]: Simplify (/ 1 1) into 1
8.717 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.717 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.717 * [taylor]: Taking taylor expansion of d in c
8.717 * [backup-simplify]: Simplify d into d
8.717 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.717 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.717 * [backup-simplify]: Simplify (+ 1 0) into 1
8.717 * [backup-simplify]: Simplify (/ 1 1) into 1
8.718 * [backup-simplify]: Simplify (sqrt 1) into 1
8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.719 * [backup-simplify]: Simplify (+ 0 0) into 0
8.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.720 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.720 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.720 * [taylor]: Taking taylor expansion of (* b d) in a
8.720 * [taylor]: Taking taylor expansion of b in a
8.720 * [backup-simplify]: Simplify b into b
8.720 * [taylor]: Taking taylor expansion of d in a
8.720 * [backup-simplify]: Simplify d into d
8.720 * [backup-simplify]: Simplify (* b d) into (* b d)
8.720 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.720 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.720 * [taylor]: Taking taylor expansion of (* a c) in a
8.720 * [taylor]: Taking taylor expansion of a in a
8.720 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify 1 into 1
8.720 * [taylor]: Taking taylor expansion of c in a
8.720 * [backup-simplify]: Simplify c into c
8.720 * [backup-simplify]: Simplify (* 0 c) into 0
8.720 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.720 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.720 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.720 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.720 * [taylor]: Taking taylor expansion of c in a
8.720 * [backup-simplify]: Simplify c into c
8.720 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.720 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.720 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.720 * [taylor]: Taking taylor expansion of d in a
8.721 * [backup-simplify]: Simplify d into d
8.721 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.721 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.721 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.721 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.721 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.721 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.721 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.722 * [backup-simplify]: Simplify (+ 0 0) into 0
8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.722 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.722 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.723 * [taylor]: Taking taylor expansion of (* b d) in a
8.723 * [taylor]: Taking taylor expansion of b in a
8.723 * [backup-simplify]: Simplify b into b
8.723 * [taylor]: Taking taylor expansion of d in a
8.723 * [backup-simplify]: Simplify d into d
8.723 * [backup-simplify]: Simplify (* b d) into (* b d)
8.723 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.723 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.723 * [taylor]: Taking taylor expansion of (* a c) in a
8.723 * [taylor]: Taking taylor expansion of a in a
8.723 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify 1 into 1
8.723 * [taylor]: Taking taylor expansion of c in a
8.723 * [backup-simplify]: Simplify c into c
8.723 * [backup-simplify]: Simplify (* 0 c) into 0
8.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.723 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.723 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.723 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.723 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.723 * [taylor]: Taking taylor expansion of c in a
8.723 * [backup-simplify]: Simplify c into c
8.723 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.723 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.723 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.723 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.723 * [taylor]: Taking taylor expansion of d in a
8.723 * [backup-simplify]: Simplify d into d
8.723 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.724 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.724 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.724 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.724 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.724 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.724 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.725 * [backup-simplify]: Simplify (+ 0 0) into 0
8.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.725 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.726 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
8.726 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
8.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.726 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.726 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.726 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.726 * [taylor]: Taking taylor expansion of c in c
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.726 * [backup-simplify]: Simplify (* 1 1) into 1
8.726 * [backup-simplify]: Simplify (/ 1 1) into 1
8.726 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.726 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.726 * [taylor]: Taking taylor expansion of d in c
8.726 * [backup-simplify]: Simplify d into d
8.726 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.726 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.727 * [backup-simplify]: Simplify (+ 1 0) into 1
8.727 * [backup-simplify]: Simplify (/ 1 1) into 1
8.727 * [backup-simplify]: Simplify (sqrt 1) into 1
8.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.728 * [backup-simplify]: Simplify (+ 0 0) into 0
8.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.729 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.729 * [taylor]: Taking taylor expansion of c in c
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 1 into 1
8.729 * [backup-simplify]: Simplify (/ 1 1) into 1
8.730 * [backup-simplify]: Simplify (* 1 1) into 1
8.730 * [taylor]: Taking taylor expansion of 1 in b
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.730 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.731 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.731 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.731 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.731 * [taylor]: Taking taylor expansion of (* b d) in c
8.731 * [taylor]: Taking taylor expansion of b in c
8.731 * [backup-simplify]: Simplify b into b
8.731 * [taylor]: Taking taylor expansion of d in c
8.731 * [backup-simplify]: Simplify d into d
8.731 * [backup-simplify]: Simplify (* b d) into (* b d)
8.731 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.731 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.731 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.731 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.731 * [taylor]: Taking taylor expansion of c in c
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.731 * [backup-simplify]: Simplify (/ 1 1) into 1
8.731 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.731 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.732 * [taylor]: Taking taylor expansion of d in c
8.732 * [backup-simplify]: Simplify d into d
8.732 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.732 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.732 * [backup-simplify]: Simplify (+ 1 0) into 1
8.732 * [backup-simplify]: Simplify (/ 1 1) into 1
8.732 * [backup-simplify]: Simplify (sqrt 1) into 1
8.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.733 * [backup-simplify]: Simplify (+ 0 0) into 0
8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.735 * [taylor]: Taking taylor expansion of 0 in b
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [taylor]: Taking taylor expansion of 1 in d
8.735 * [backup-simplify]: Simplify 1 into 1
8.735 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.736 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.738 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.739 * [backup-simplify]: Simplify (+ 0 0) into 0
8.739 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
8.739 * [taylor]: Taking taylor expansion of 0 in c
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [taylor]: Taking taylor expansion of 0 in b
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
8.740 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.740 * [taylor]: Taking taylor expansion of (* b d) in b
8.740 * [taylor]: Taking taylor expansion of b in b
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 1 into 1
8.740 * [taylor]: Taking taylor expansion of d in b
8.740 * [backup-simplify]: Simplify d into d
8.740 * [backup-simplify]: Simplify (* 0 d) into 0
8.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.740 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.740 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.740 * [taylor]: Taking taylor expansion of d in d
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 1 into 1
8.740 * [backup-simplify]: Simplify (/ 1 1) into 1
8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.743 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
8.744 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
8.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
8.744 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
8.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
8.745 * [taylor]: Taking taylor expansion of 1/2 in b
8.745 * [backup-simplify]: Simplify 1/2 into 1/2
8.745 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.745 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.745 * [taylor]: Taking taylor expansion of d in b
8.745 * [backup-simplify]: Simplify d into d
8.745 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.745 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.745 * [taylor]: Taking taylor expansion of 0 in d
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [taylor]: Taking taylor expansion of 0 in d
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
8.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.746 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.747 * [backup-simplify]: Simplify (+ 0 0) into 0
8.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.748 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.750 * [backup-simplify]: Simplify (+ 0 0) into 0
8.750 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
8.750 * [taylor]: Taking taylor expansion of 0 in c
8.750 * [backup-simplify]: Simplify 0 into 0
8.750 * [taylor]: Taking taylor expansion of 0 in b
8.750 * [backup-simplify]: Simplify 0 into 0
8.751 * [taylor]: Taking taylor expansion of 0 in b
8.751 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.751 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
8.751 * [taylor]: Taking taylor expansion of 0 in b
8.751 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.753 * [backup-simplify]: Simplify (+ 0 0) into 0
8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
8.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
8.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
8.755 * [taylor]: Taking taylor expansion of 0 in b
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [taylor]: Taking taylor expansion of 0 in d
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.756 * [taylor]: Taking taylor expansion of 0 in d
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
8.756 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.756 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
8.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
8.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.757 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.757 * [taylor]: Taking taylor expansion of (* b d) in d
8.757 * [taylor]: Taking taylor expansion of b in d
8.757 * [backup-simplify]: Simplify b into b
8.757 * [taylor]: Taking taylor expansion of d in d
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [backup-simplify]: Simplify (* b 0) into 0
8.757 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.757 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.757 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.757 * [taylor]: Taking taylor expansion of (* a c) in d
8.757 * [taylor]: Taking taylor expansion of a in d
8.757 * [backup-simplify]: Simplify a into a
8.757 * [taylor]: Taking taylor expansion of c in d
8.757 * [backup-simplify]: Simplify c into c
8.757 * [backup-simplify]: Simplify (* a c) into (* a c)
8.757 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
8.757 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.757 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.757 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.757 * [taylor]: Taking taylor expansion of c in d
8.757 * [backup-simplify]: Simplify c into c
8.757 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.757 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.757 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.757 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.757 * [taylor]: Taking taylor expansion of d in d
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (* 1 1) into 1
8.758 * [backup-simplify]: Simplify (/ 1 1) into 1
8.758 * [backup-simplify]: Simplify (+ 0 1) into 1
8.758 * [backup-simplify]: Simplify (/ 1 1) into 1
8.759 * [backup-simplify]: Simplify (sqrt 1) into 1
8.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.760 * [backup-simplify]: Simplify (+ 0 0) into 0
8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
8.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.761 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.761 * [taylor]: Taking taylor expansion of (* b d) in b
8.761 * [taylor]: Taking taylor expansion of b in b
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 1 into 1
8.761 * [taylor]: Taking taylor expansion of d in b
8.761 * [backup-simplify]: Simplify d into d
8.761 * [backup-simplify]: Simplify (* 0 d) into 0
8.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.761 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.761 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.761 * [taylor]: Taking taylor expansion of (* a c) in b
8.761 * [taylor]: Taking taylor expansion of a in b
8.761 * [backup-simplify]: Simplify a into a
8.761 * [taylor]: Taking taylor expansion of c in b
8.761 * [backup-simplify]: Simplify c into c
8.761 * [backup-simplify]: Simplify (* a c) into (* a c)
8.761 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
8.761 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.761 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.761 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.761 * [taylor]: Taking taylor expansion of c in b
8.761 * [backup-simplify]: Simplify c into c
8.761 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.762 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.762 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.762 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.762 * [taylor]: Taking taylor expansion of d in b
8.762 * [backup-simplify]: Simplify d into d
8.762 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.762 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.762 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.762 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.762 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.762 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.763 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.763 * [backup-simplify]: Simplify (+ 0 0) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.764 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.764 * [taylor]: Taking taylor expansion of (* b d) in c
8.764 * [taylor]: Taking taylor expansion of b in c
8.764 * [backup-simplify]: Simplify b into b
8.764 * [taylor]: Taking taylor expansion of d in c
8.764 * [backup-simplify]: Simplify d into d
8.764 * [backup-simplify]: Simplify (* b d) into (* b d)
8.764 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.764 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.764 * [taylor]: Taking taylor expansion of (* a c) in c
8.764 * [taylor]: Taking taylor expansion of a in c
8.764 * [backup-simplify]: Simplify a into a
8.764 * [taylor]: Taking taylor expansion of c in c
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 1 into 1
8.764 * [backup-simplify]: Simplify (* a 0) into 0
8.764 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.764 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.764 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.764 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.764 * [taylor]: Taking taylor expansion of c in c
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 1 into 1
8.765 * [backup-simplify]: Simplify (* 1 1) into 1
8.765 * [backup-simplify]: Simplify (/ 1 1) into 1
8.765 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.765 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.765 * [taylor]: Taking taylor expansion of d in c
8.765 * [backup-simplify]: Simplify d into d
8.765 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.765 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.768 * [backup-simplify]: Simplify (+ 1 0) into 1
8.768 * [backup-simplify]: Simplify (/ 1 1) into 1
8.768 * [backup-simplify]: Simplify (sqrt 1) into 1
8.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.769 * [backup-simplify]: Simplify (+ 0 0) into 0
8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.770 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.770 * [taylor]: Taking taylor expansion of (* b d) in a
8.770 * [taylor]: Taking taylor expansion of b in a
8.770 * [backup-simplify]: Simplify b into b
8.770 * [taylor]: Taking taylor expansion of d in a
8.771 * [backup-simplify]: Simplify d into d
8.771 * [backup-simplify]: Simplify (* b d) into (* b d)
8.771 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.771 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.771 * [taylor]: Taking taylor expansion of (* a c) in a
8.771 * [taylor]: Taking taylor expansion of a in a
8.771 * [backup-simplify]: Simplify 0 into 0
8.771 * [backup-simplify]: Simplify 1 into 1
8.771 * [taylor]: Taking taylor expansion of c in a
8.771 * [backup-simplify]: Simplify c into c
8.771 * [backup-simplify]: Simplify (* 0 c) into 0
8.771 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.771 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.771 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.771 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.771 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.771 * [taylor]: Taking taylor expansion of c in a
8.771 * [backup-simplify]: Simplify c into c
8.771 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.771 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.771 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.771 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.771 * [taylor]: Taking taylor expansion of d in a
8.771 * [backup-simplify]: Simplify d into d
8.771 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.772 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.772 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.772 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.772 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.772 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.772 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.773 * [backup-simplify]: Simplify (+ 0 0) into 0
8.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.773 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.773 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.773 * [taylor]: Taking taylor expansion of (* b d) in a
8.773 * [taylor]: Taking taylor expansion of b in a
8.773 * [backup-simplify]: Simplify b into b
8.773 * [taylor]: Taking taylor expansion of d in a
8.773 * [backup-simplify]: Simplify d into d
8.773 * [backup-simplify]: Simplify (* b d) into (* b d)
8.774 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.774 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.774 * [taylor]: Taking taylor expansion of (* a c) in a
8.774 * [taylor]: Taking taylor expansion of a in a
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify 1 into 1
8.774 * [taylor]: Taking taylor expansion of c in a
8.774 * [backup-simplify]: Simplify c into c
8.774 * [backup-simplify]: Simplify (* 0 c) into 0
8.774 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.774 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.774 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.774 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.774 * [taylor]: Taking taylor expansion of c in a
8.774 * [backup-simplify]: Simplify c into c
8.774 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.774 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.774 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.774 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.774 * [taylor]: Taking taylor expansion of d in a
8.774 * [backup-simplify]: Simplify d into d
8.774 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.774 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.775 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.775 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.775 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.775 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.775 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.776 * [backup-simplify]: Simplify (+ 0 0) into 0
8.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.777 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.777 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
8.777 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
8.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.777 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.777 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.777 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.777 * [taylor]: Taking taylor expansion of c in c
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 1 into 1
8.777 * [backup-simplify]: Simplify (* 1 1) into 1
8.777 * [backup-simplify]: Simplify (/ 1 1) into 1
8.777 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.777 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.777 * [taylor]: Taking taylor expansion of d in c
8.778 * [backup-simplify]: Simplify d into d
8.778 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.778 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.778 * [backup-simplify]: Simplify (+ 1 0) into 1
8.778 * [backup-simplify]: Simplify (/ 1 1) into 1
8.778 * [backup-simplify]: Simplify (sqrt 1) into 1
8.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.779 * [backup-simplify]: Simplify (+ 0 0) into 0
8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.780 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.780 * [taylor]: Taking taylor expansion of c in c
8.780 * [backup-simplify]: Simplify 0 into 0
8.780 * [backup-simplify]: Simplify 1 into 1
8.781 * [backup-simplify]: Simplify (/ 1 1) into 1
8.781 * [backup-simplify]: Simplify (* 1 1) into 1
8.781 * [taylor]: Taking taylor expansion of 1 in b
8.781 * [backup-simplify]: Simplify 1 into 1
8.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.782 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.782 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.782 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.782 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.782 * [taylor]: Taking taylor expansion of (* b d) in c
8.782 * [taylor]: Taking taylor expansion of b in c
8.782 * [backup-simplify]: Simplify b into b
8.782 * [taylor]: Taking taylor expansion of d in c
8.782 * [backup-simplify]: Simplify d into d
8.782 * [backup-simplify]: Simplify (* b d) into (* b d)
8.782 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.782 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.782 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.782 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.782 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.782 * [taylor]: Taking taylor expansion of c in c
8.782 * [backup-simplify]: Simplify 0 into 0
8.782 * [backup-simplify]: Simplify 1 into 1
8.782 * [backup-simplify]: Simplify (* 1 1) into 1
8.783 * [backup-simplify]: Simplify (/ 1 1) into 1
8.783 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.783 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.783 * [taylor]: Taking taylor expansion of d in c
8.783 * [backup-simplify]: Simplify d into d
8.783 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.783 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.783 * [backup-simplify]: Simplify (+ 1 0) into 1
8.783 * [backup-simplify]: Simplify (/ 1 1) into 1
8.784 * [backup-simplify]: Simplify (sqrt 1) into 1
8.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.785 * [backup-simplify]: Simplify (+ 0 0) into 0
8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.786 * [taylor]: Taking taylor expansion of 0 in b
8.786 * [backup-simplify]: Simplify 0 into 0
8.786 * [taylor]: Taking taylor expansion of 1 in d
8.786 * [backup-simplify]: Simplify 1 into 1
8.787 * [backup-simplify]: Simplify 1 into 1
8.787 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.787 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.789 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.791 * [backup-simplify]: Simplify (+ 0 0) into 0
8.791 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
8.791 * [taylor]: Taking taylor expansion of 0 in c
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [taylor]: Taking taylor expansion of 0 in b
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
8.791 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.791 * [taylor]: Taking taylor expansion of (* b d) in b
8.791 * [taylor]: Taking taylor expansion of b in b
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify 1 into 1
8.791 * [taylor]: Taking taylor expansion of d in b
8.791 * [backup-simplify]: Simplify d into d
8.791 * [backup-simplify]: Simplify (* 0 d) into 0
8.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.792 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.792 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.792 * [taylor]: Taking taylor expansion of d in d
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [backup-simplify]: Simplify (/ 1 1) into 1
8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.792 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.794 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
8.795 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
8.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
8.796 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
8.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
8.796 * [taylor]: Taking taylor expansion of 1/2 in b
8.796 * [backup-simplify]: Simplify 1/2 into 1/2
8.796 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.796 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.796 * [taylor]: Taking taylor expansion of d in b
8.796 * [backup-simplify]: Simplify d into d
8.796 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.796 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.796 * [taylor]: Taking taylor expansion of 0 in d
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [taylor]: Taking taylor expansion of 0 in d
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.798 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.798 * [backup-simplify]: Simplify (+ 0 0) into 0
8.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.800 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.801 * [backup-simplify]: Simplify (+ 0 0) into 0
8.802 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
8.802 * [taylor]: Taking taylor expansion of 0 in c
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [taylor]: Taking taylor expansion of 0 in b
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [taylor]: Taking taylor expansion of 0 in b
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.803 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
8.803 * [taylor]: Taking taylor expansion of 0 in b
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.804 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.805 * [backup-simplify]: Simplify (+ 0 0) into 0
8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
8.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
8.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
8.807 * [taylor]: Taking taylor expansion of 0 in b
8.807 * [backup-simplify]: Simplify 0 into 0
8.807 * [taylor]: Taking taylor expansion of 0 in d
8.807 * [backup-simplify]: Simplify 0 into 0
8.807 * [backup-simplify]: Simplify 0 into 0
8.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.808 * [taylor]: Taking taylor expansion of 0 in d
8.808 * [backup-simplify]: Simplify 0 into 0
8.808 * [backup-simplify]: Simplify 0 into 0
8.808 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
8.808 * * * [progress]: simplifying candidates
8.809 * [simplify]: Simplifying:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt 1)
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
  (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (- (* c c) (* d d)))
  (/ 1 2)
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (+ (* a c) (* b d)))
  (- (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) 1)
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 1)
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt 1))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) 1)
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  b
  a
  (* -1 a)
8.810 * * [simplify]: iteration 0: 105 enodes
8.832 * * [simplify]: iteration 1: 249 enodes
8.890 * * [simplify]: iteration 2: 659 enodes
9.115 * * [simplify]: iteration 3: 1891 enodes
10.192 * * [simplify]: iteration complete: 5001 enodes
10.192 * * [simplify]: Extracting #0: cost 62 inf + 0
10.193 * * [simplify]: Extracting #1: cost 195 inf + 47
10.195 * * [simplify]: Extracting #2: cost 601 inf + 710
10.201 * * [simplify]: Extracting #3: cost 969 inf + 18503
10.226 * * [simplify]: Extracting #4: cost 605 inf + 120322
10.292 * * [simplify]: Extracting #5: cost 106 inf + 286898
10.368 * * [simplify]: Extracting #6: cost 15 inf + 319694
10.444 * * [simplify]: Extracting #7: cost 1 inf + 324083
10.519 * * [simplify]: Extracting #8: cost 0 inf + 324376
10.593 * [simplify]: Simplified to:
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (- c d) (+ c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (- c d) (+ c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (sqrt (+ (* c c) (* d d))))
  (exp (sqrt (+ (* c c) (* d d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (cbrt (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (+ (* c c) (* d d)))
  (fabs (cbrt (+ (* c c) (* d d))))
  (sqrt (cbrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  1
  (sqrt (+ (* c c) (* d d)))
  (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))))
  (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (sqrt (* (- c d) (+ c d)))
  1/2
  (sqrt (sqrt (+ (* c c) (* d d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (* a (- c)) (* b d))
  (- (sqrt (+ (* c c) (* d d))))
  (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (+ (* a c) (* b d))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d))))))
  (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (- (* b d) (* a c)))))
  (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  d
  c
  (- c)
  d
  c
  (- c)
  d
  c
  (- c)
  b
  a
  (- a)
10.603 * * * [progress]: adding candidates to table
11.118 * [progress]: [Phase 3 of 3] Extracting.
11.118 * * [regime]: Finding splitpoints for: (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.121 * * * [regime-changes]: Trying 4 branch expressions: (d c b a)
11.121 * * * * [regimes]: Trying to branch on d from (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.205 * * * * [regimes]: Trying to branch on c from (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.282 * * * * [regimes]: Trying to branch on b from (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.357 * * * * [regimes]: Trying to branch on a from (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.435 * * * [regime]: Found split indices: #<option (#s(si 2 194) #s(si 5 255))>
11.436 * [binary-search]: Improving bounds with binary search for d and (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.463 * [regimes]: Found splitpoints: (#s(sp 2 d 2.814854621501251e+37) #s(sp 5 d +nan.0)) , with alts (#<alt (λ (a b c d) 0)> #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>)
11.463 * [simplify]: Simplifying:
  (if (<= d 2.814854621501251e+37) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ b (sqrt (+ (* c c) (* d d)))))
11.464 * * [simplify]: iteration 0: 19 enodes
11.465 * * [simplify]: iteration 1: 26 enodes
11.465 * * [simplify]: iteration complete: 26 enodes
11.465 * * [simplify]: Extracting #0: cost 1 inf + 0
11.465 * * [simplify]: Extracting #1: cost 4 inf + 0
11.466 * * [simplify]: Extracting #2: cost 10 inf + 0
11.466 * * [simplify]: Extracting #3: cost 9 inf + 70
11.466 * * [simplify]: Extracting #4: cost 12 inf + 71
11.466 * * [simplify]: Extracting #5: cost 12 inf + 154
11.466 * * [simplify]: Extracting #6: cost 7 inf + 361
11.466 * * [simplify]: Extracting #7: cost 3 inf + 1174
11.466 * * [simplify]: Extracting #8: cost 0 inf + 2358
11.467 * [simplify]: Simplified to:
  (if (<= d 2.814854621501251e+37) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* c a)) (sqrt (+ (* c c) (* d d))))) (/ b (sqrt (+ (* c c) (* d d)))))
13.448 * [regime-testing]: Baseline error score: 25.8530733895666
13.457 * [regime-testing]: Oracle error score: 22.895204914210524
13.477 * [regime-testing]: End program error score: 26.259659838111133
13.598 * [regime-testing]: Target error score: 0.4273951912081337