10.318 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.029 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.030 * * [simplify]: iteration 0: 11 enodes
0.031 * * [simplify]: iteration 1: 15 enodes
0.033 * * [simplify]: iteration complete: 15 enodes
0.033 * * [simplify]: Extracting #0: cost 1 inf + 0
0.033 * * [simplify]: Extracting #1: cost 3 inf + 0
0.033 * * [simplify]: Extracting #2: cost 7 inf + 0
0.033 * * [simplify]: Extracting #3: cost 11 inf + 0
0.033 * * [simplify]: Extracting #4: cost 3 inf + 20
0.033 * * [simplify]: Extracting #5: cost 0 inf + 45
0.033 * [simplify]: Simplified to:
  (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
0.038 * * [progress]: iteration 1 / 4
0.038 * * * [progress]: picking best candidate
0.041 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))>
0.041 * * * [progress]: localizing error
0.056 * * * [progress]: generating rewritten candidates
0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.097 * * * [progress]: generating series expansions
0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.097 * [backup-simplify]: Simplify (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
0.097 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (b d a c) around 0
0.097 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c
0.097 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.097 * [taylor]: Taking taylor expansion of (* a c) in c
0.097 * [taylor]: Taking taylor expansion of a in c
0.097 * [backup-simplify]: Simplify a into a
0.097 * [taylor]: Taking taylor expansion of c in c
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [taylor]: Taking taylor expansion of (* b d) in c
0.097 * [taylor]: Taking taylor expansion of b in c
0.097 * [backup-simplify]: Simplify b into b
0.097 * [taylor]: Taking taylor expansion of d in c
0.097 * [backup-simplify]: Simplify d into d
0.097 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.097 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.097 * [taylor]: Taking taylor expansion of c in c
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.097 * [taylor]: Taking taylor expansion of d in c
0.097 * [backup-simplify]: Simplify d into d
0.097 * [backup-simplify]: Simplify (* a 0) into 0
0.097 * [backup-simplify]: Simplify (* b d) into (* b d)
0.097 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.097 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.098 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.098 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.098 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
0.098 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.098 * [taylor]: Taking taylor expansion of (* a c) in a
0.098 * [taylor]: Taking taylor expansion of a in a
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [taylor]: Taking taylor expansion of c in a
0.098 * [backup-simplify]: Simplify c into c
0.098 * [taylor]: Taking taylor expansion of (* b d) in a
0.098 * [taylor]: Taking taylor expansion of b in a
0.098 * [backup-simplify]: Simplify b into b
0.098 * [taylor]: Taking taylor expansion of d in a
0.098 * [backup-simplify]: Simplify d into d
0.098 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
0.098 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.098 * [taylor]: Taking taylor expansion of c in a
0.098 * [backup-simplify]: Simplify c into c
0.098 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.098 * [taylor]: Taking taylor expansion of d in a
0.098 * [backup-simplify]: Simplify d into d
0.098 * [backup-simplify]: Simplify (* 0 c) into 0
0.098 * [backup-simplify]: Simplify (* b d) into (* b d)
0.098 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.098 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.098 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.098 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.098 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
0.098 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
0.098 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.099 * [taylor]: Taking taylor expansion of (* a c) in d
0.099 * [taylor]: Taking taylor expansion of a in d
0.099 * [backup-simplify]: Simplify a into a
0.099 * [taylor]: Taking taylor expansion of c in d
0.099 * [backup-simplify]: Simplify c into c
0.099 * [taylor]: Taking taylor expansion of (* b d) in d
0.099 * [taylor]: Taking taylor expansion of b in d
0.099 * [backup-simplify]: Simplify b into b
0.099 * [taylor]: Taking taylor expansion of d in d
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.099 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.099 * [taylor]: Taking taylor expansion of c in d
0.099 * [backup-simplify]: Simplify c into c
0.099 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.099 * [taylor]: Taking taylor expansion of d in d
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (* a c) into (* a c)
0.099 * [backup-simplify]: Simplify (* b 0) into 0
0.099 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.099 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.099 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.099 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
0.099 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
0.099 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.099 * [taylor]: Taking taylor expansion of (* a c) in b
0.099 * [taylor]: Taking taylor expansion of a in b
0.099 * [backup-simplify]: Simplify a into a
0.099 * [taylor]: Taking taylor expansion of c in b
0.099 * [backup-simplify]: Simplify c into c
0.099 * [taylor]: Taking taylor expansion of (* b d) in b
0.099 * [taylor]: Taking taylor expansion of b in b
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify 1 into 1
0.099 * [taylor]: Taking taylor expansion of d in b
0.099 * [backup-simplify]: Simplify d into d
0.099 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
0.099 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.099 * [taylor]: Taking taylor expansion of c in b
0.099 * [backup-simplify]: Simplify c into c
0.099 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.099 * [taylor]: Taking taylor expansion of d in b
0.099 * [backup-simplify]: Simplify d into d
0.099 * [backup-simplify]: Simplify (* a c) into (* a c)
0.099 * [backup-simplify]: Simplify (* 0 d) into 0
0.099 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.100 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.100 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.100 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.100 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
0.100 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
0.100 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.100 * [taylor]: Taking taylor expansion of (* a c) in b
0.100 * [taylor]: Taking taylor expansion of a in b
0.100 * [backup-simplify]: Simplify a into a
0.100 * [taylor]: Taking taylor expansion of c in b
0.100 * [backup-simplify]: Simplify c into c
0.100 * [taylor]: Taking taylor expansion of (* b d) in b
0.100 * [taylor]: Taking taylor expansion of b in b
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [taylor]: Taking taylor expansion of d in b
0.100 * [backup-simplify]: Simplify d into d
0.100 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
0.100 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.100 * [taylor]: Taking taylor expansion of c in b
0.100 * [backup-simplify]: Simplify c into c
0.100 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.100 * [taylor]: Taking taylor expansion of d in b
0.100 * [backup-simplify]: Simplify d into d
0.100 * [backup-simplify]: Simplify (* a c) into (* a c)
0.100 * [backup-simplify]: Simplify (* 0 d) into 0
0.100 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.100 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.100 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.100 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.101 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
0.101 * [taylor]: Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d
0.101 * [taylor]: Taking taylor expansion of (* a c) in d
0.101 * [taylor]: Taking taylor expansion of a in d
0.101 * [backup-simplify]: Simplify a into a
0.101 * [taylor]: Taking taylor expansion of c in d
0.101 * [backup-simplify]: Simplify c into c
0.101 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.101 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.101 * [taylor]: Taking taylor expansion of c in d
0.101 * [backup-simplify]: Simplify c into c
0.101 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.101 * [taylor]: Taking taylor expansion of d in d
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (* a c) into (* a c)
0.101 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.101 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.101 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
0.101 * [taylor]: Taking taylor expansion of (/ a c) in a
0.101 * [taylor]: Taking taylor expansion of a in a
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [taylor]: Taking taylor expansion of c in a
0.101 * [backup-simplify]: Simplify c into c
0.101 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.101 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.102 * [backup-simplify]: Simplify (+ 0 d) into d
0.102 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.102 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (- (/ d (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ d (+ (pow c 2) (pow d 2)))
0.103 * [taylor]: Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d
0.103 * [taylor]: Taking taylor expansion of d in d
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.103 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.103 * [taylor]: Taking taylor expansion of c in d
0.103 * [backup-simplify]: Simplify c into c
0.103 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.103 * [taylor]: Taking taylor expansion of d in d
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.103 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.103 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.103 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.103 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0
0.104 * [taylor]: Taking taylor expansion of 0 in a
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [taylor]: Taking taylor expansion of 0 in c
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.104 * [taylor]: Taking taylor expansion of c in c
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.106 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
0.107 * [taylor]: Taking taylor expansion of 0 in d
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [taylor]: Taking taylor expansion of 0 in a
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [taylor]: Taking taylor expansion of 0 in c
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.107 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.107 * [taylor]: Taking taylor expansion of c in a
0.107 * [backup-simplify]: Simplify c into c
0.107 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.107 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.108 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.108 * [taylor]: Taking taylor expansion of c in c
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (* 1 1) into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.113 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (+ 0 1) into 1
0.114 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3)))
0.114 * [taylor]: Taking taylor expansion of (- (/ a (pow c 3))) in a
0.114 * [taylor]: Taking taylor expansion of (/ a (pow c 3)) in a
0.114 * [taylor]: Taking taylor expansion of a in a
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [taylor]: Taking taylor expansion of (pow c 3) in a
0.114 * [taylor]: Taking taylor expansion of c in a
0.114 * [backup-simplify]: Simplify c into c
0.114 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.114 * [backup-simplify]: Simplify (* c (pow c 2)) into (pow c 3)
0.115 * [backup-simplify]: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3))
0.115 * [taylor]: Taking taylor expansion of 0 in c
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0
0.115 * [taylor]: Taking taylor expansion of 0 in c
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.116 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (b d a c) around 0
0.116 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.116 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.116 * [taylor]: Taking taylor expansion of (* b d) in c
0.116 * [taylor]: Taking taylor expansion of b in c
0.116 * [backup-simplify]: Simplify b into b
0.116 * [taylor]: Taking taylor expansion of d in c
0.116 * [backup-simplify]: Simplify d into d
0.116 * [backup-simplify]: Simplify (* b d) into (* b d)
0.116 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.116 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.116 * [taylor]: Taking taylor expansion of (* a c) in c
0.116 * [taylor]: Taking taylor expansion of a in c
0.116 * [backup-simplify]: Simplify a into a
0.116 * [taylor]: Taking taylor expansion of c in c
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify (* a 0) into 0
0.117 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.117 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.117 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.117 * [taylor]: Taking taylor expansion of c in c
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.118 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.118 * [taylor]: Taking taylor expansion of d in c
0.118 * [backup-simplify]: Simplify d into d
0.118 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.119 * [backup-simplify]: Simplify (+ 1 0) into 1
0.119 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.119 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.119 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.119 * [taylor]: Taking taylor expansion of (* b d) in a
0.119 * [taylor]: Taking taylor expansion of b in a
0.119 * [backup-simplify]: Simplify b into b
0.119 * [taylor]: Taking taylor expansion of d in a
0.119 * [backup-simplify]: Simplify d into d
0.119 * [backup-simplify]: Simplify (* b d) into (* b d)
0.119 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.119 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.119 * [taylor]: Taking taylor expansion of (* a c) in a
0.119 * [taylor]: Taking taylor expansion of a in a
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.119 * [taylor]: Taking taylor expansion of c in a
0.119 * [backup-simplify]: Simplify c into c
0.120 * [backup-simplify]: Simplify (* 0 c) into 0
0.120 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.120 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.120 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.120 * [taylor]: Taking taylor expansion of c in a
0.120 * [backup-simplify]: Simplify c into c
0.120 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.120 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.121 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.121 * [taylor]: Taking taylor expansion of d in a
0.121 * [backup-simplify]: Simplify d into d
0.121 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.121 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.121 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.121 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.122 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.122 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.122 * [taylor]: Taking taylor expansion of (* b d) in d
0.122 * [taylor]: Taking taylor expansion of b in d
0.122 * [backup-simplify]: Simplify b into b
0.122 * [taylor]: Taking taylor expansion of d in d
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* b 0) into 0
0.123 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.123 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.123 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.123 * [taylor]: Taking taylor expansion of (* a c) in d
0.123 * [taylor]: Taking taylor expansion of a in d
0.123 * [backup-simplify]: Simplify a into a
0.123 * [taylor]: Taking taylor expansion of c in d
0.123 * [backup-simplify]: Simplify c into c
0.123 * [backup-simplify]: Simplify (* a c) into (* a c)
0.123 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.123 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.123 * [taylor]: Taking taylor expansion of c in d
0.123 * [backup-simplify]: Simplify c into c
0.123 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.123 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.124 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.124 * [taylor]: Taking taylor expansion of d in d
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify 1 into 1
0.124 * [backup-simplify]: Simplify (* 1 1) into 1
0.124 * [backup-simplify]: Simplify (/ 1 1) into 1
0.125 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.125 * [backup-simplify]: Simplify (+ 0 1) into 1
0.125 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.125 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.125 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.125 * [taylor]: Taking taylor expansion of (* b d) in b
0.125 * [taylor]: Taking taylor expansion of b in b
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.125 * [taylor]: Taking taylor expansion of d in b
0.125 * [backup-simplify]: Simplify d into d
0.125 * [backup-simplify]: Simplify (* 0 d) into 0
0.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.126 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.126 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.126 * [taylor]: Taking taylor expansion of (* a c) in b
0.126 * [taylor]: Taking taylor expansion of a in b
0.126 * [backup-simplify]: Simplify a into a
0.126 * [taylor]: Taking taylor expansion of c in b
0.126 * [backup-simplify]: Simplify c into c
0.126 * [backup-simplify]: Simplify (* a c) into (* a c)
0.126 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.126 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.126 * [taylor]: Taking taylor expansion of c in b
0.126 * [backup-simplify]: Simplify c into c
0.127 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.127 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.127 * [taylor]: Taking taylor expansion of d in b
0.127 * [backup-simplify]: Simplify d into d
0.127 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.127 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.127 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.128 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.128 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.128 * [taylor]: Taking taylor expansion of (* b d) in b
0.128 * [taylor]: Taking taylor expansion of b in b
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [taylor]: Taking taylor expansion of d in b
0.128 * [backup-simplify]: Simplify d into d
0.128 * [backup-simplify]: Simplify (* 0 d) into 0
0.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.129 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.129 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.129 * [taylor]: Taking taylor expansion of (* a c) in b
0.129 * [taylor]: Taking taylor expansion of a in b
0.129 * [backup-simplify]: Simplify a into a
0.129 * [taylor]: Taking taylor expansion of c in b
0.129 * [backup-simplify]: Simplify c into c
0.129 * [backup-simplify]: Simplify (* a c) into (* a c)
0.129 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.129 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.129 * [taylor]: Taking taylor expansion of c in b
0.129 * [backup-simplify]: Simplify c into c
0.129 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.130 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.130 * [taylor]: Taking taylor expansion of d in b
0.130 * [backup-simplify]: Simplify d into d
0.130 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.130 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.130 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.130 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.131 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.131 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
0.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.131 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.131 * [taylor]: Taking taylor expansion of c in d
0.131 * [backup-simplify]: Simplify c into c
0.131 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.131 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.131 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.131 * [taylor]: Taking taylor expansion of d in d
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.132 * [taylor]: Taking taylor expansion of d in d
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (+ 0 1) into 1
0.133 * [backup-simplify]: Simplify (* 1 0) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.136 * [backup-simplify]: Simplify (/ 1 1) into 1
0.136 * [taylor]: Taking taylor expansion of 1 in a
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
0.138 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.138 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
0.140 * [taylor]: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
0.140 * [taylor]: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
0.140 * [taylor]: Taking taylor expansion of a in d
0.140 * [backup-simplify]: Simplify a into a
0.140 * [taylor]: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.140 * [taylor]: Taking taylor expansion of c in d
0.140 * [backup-simplify]: Simplify c into c
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.140 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.140 * [taylor]: Taking taylor expansion of c in d
0.140 * [backup-simplify]: Simplify c into c
0.140 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.141 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.141 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.141 * [taylor]: Taking taylor expansion of d in d
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify (+ 0 1) into 1
0.142 * [backup-simplify]: Simplify (* c 1) into c
0.142 * [backup-simplify]: Simplify (* a c) into (* a c)
0.142 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.146 * [taylor]: Taking taylor expansion of 0 in a
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [taylor]: Taking taylor expansion of 1 in c
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.148 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.150 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.153 * [taylor]: Taking taylor expansion of 0 in d
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [taylor]: Taking taylor expansion of 0 in a
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.153 * [taylor]: Taking taylor expansion of (* a c) in a
0.153 * [taylor]: Taking taylor expansion of a in a
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of c in a
0.153 * [backup-simplify]: Simplify c into c
0.153 * [backup-simplify]: Simplify (* 0 c) into 0
0.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.154 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.154 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.154 * [taylor]: Taking taylor expansion of c in c
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow c 2))) in a
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.162 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.162 * [taylor]: Taking taylor expansion of c in a
0.162 * [backup-simplify]: Simplify c into c
0.162 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.162 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.162 * [taylor]: Taking taylor expansion of 0 in c
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [taylor]: Taking taylor expansion of 0 in c
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.167 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 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
0.170 * [taylor]: Taking taylor expansion of 0 in d
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [taylor]: Taking taylor expansion of 0 in a
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [taylor]: Taking taylor expansion of 0 in a
0.170 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (+ (* c 0) (* 0 1)) into 0
0.173 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.173 * [taylor]: Taking taylor expansion of 0 in a
0.173 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
0.179 * [taylor]: Taking taylor expansion of 0 in a
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [taylor]: Taking taylor expansion of 0 in c
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.180 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (b d a c) around 0
0.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.180 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.180 * [taylor]: Taking taylor expansion of (* b d) in c
0.180 * [taylor]: Taking taylor expansion of b in c
0.180 * [backup-simplify]: Simplify b into b
0.180 * [taylor]: Taking taylor expansion of d in c
0.180 * [backup-simplify]: Simplify d into d
0.180 * [backup-simplify]: Simplify (* b d) into (* b d)
0.180 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.180 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.180 * [taylor]: Taking taylor expansion of (* a c) in c
0.180 * [taylor]: Taking taylor expansion of a in c
0.180 * [backup-simplify]: Simplify a into a
0.180 * [taylor]: Taking taylor expansion of c in c
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (* a 0) into 0
0.181 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.181 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.181 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.181 * [taylor]: Taking taylor expansion of c in c
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* 1 1) into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.182 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.182 * [taylor]: Taking taylor expansion of d in c
0.182 * [backup-simplify]: Simplify d into d
0.182 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.182 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.183 * [backup-simplify]: Simplify (+ 1 0) into 1
0.183 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.183 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.183 * [taylor]: Taking taylor expansion of (* b d) in a
0.183 * [taylor]: Taking taylor expansion of b in a
0.183 * [backup-simplify]: Simplify b into b
0.183 * [taylor]: Taking taylor expansion of d in a
0.183 * [backup-simplify]: Simplify d into d
0.183 * [backup-simplify]: Simplify (* b d) into (* b d)
0.183 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.183 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.183 * [taylor]: Taking taylor expansion of (* a c) in a
0.183 * [taylor]: Taking taylor expansion of a in a
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of c in a
0.184 * [backup-simplify]: Simplify c into c
0.184 * [backup-simplify]: Simplify (* 0 c) into 0
0.184 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.184 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.184 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.184 * [taylor]: Taking taylor expansion of c in a
0.184 * [backup-simplify]: Simplify c into c
0.184 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.184 * [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
0.185 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.185 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.185 * [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 d
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.186 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.186 * [taylor]: Taking taylor expansion of (* b d) in d
0.186 * [taylor]: Taking taylor expansion of b in d
0.186 * [backup-simplify]: Simplify b into b
0.186 * [taylor]: Taking taylor expansion of d in d
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (* b 0) into 0
0.190 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.190 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.190 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.190 * [taylor]: Taking taylor expansion of (* a c) in d
0.190 * [taylor]: Taking taylor expansion of a in d
0.190 * [backup-simplify]: Simplify a into a
0.190 * [taylor]: Taking taylor expansion of c in d
0.190 * [backup-simplify]: Simplify c into c
0.190 * [backup-simplify]: Simplify (* a c) into (* a c)
0.190 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.190 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.190 * [taylor]: Taking taylor expansion of c in d
0.190 * [backup-simplify]: Simplify c into c
0.190 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.191 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.191 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.191 * [taylor]: Taking taylor expansion of d in d
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.193 * [backup-simplify]: Simplify (+ 0 1) into 1
0.193 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.193 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.193 * [taylor]: Taking taylor expansion of (* b d) in b
0.193 * [taylor]: Taking taylor expansion of b in b
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [taylor]: Taking taylor expansion of d in b
0.193 * [backup-simplify]: Simplify d into d
0.193 * [backup-simplify]: Simplify (* 0 d) into 0
0.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.194 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.194 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.194 * [taylor]: Taking taylor expansion of (* a c) in b
0.194 * [taylor]: Taking taylor expansion of a in b
0.194 * [backup-simplify]: Simplify a into a
0.194 * [taylor]: Taking taylor expansion of c in b
0.194 * [backup-simplify]: Simplify c into c
0.194 * [backup-simplify]: Simplify (* a c) into (* a c)
0.194 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.194 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.194 * [taylor]: Taking taylor expansion of c in b
0.194 * [backup-simplify]: Simplify c into c
0.194 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.194 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.194 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.195 * [taylor]: Taking taylor expansion of d in b
0.195 * [backup-simplify]: Simplify d into d
0.195 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.195 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.195 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.195 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.195 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.196 * [taylor]: Taking taylor expansion of (* b d) in b
0.196 * [taylor]: Taking taylor expansion of b in b
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of d in b
0.196 * [backup-simplify]: Simplify d into d
0.196 * [backup-simplify]: Simplify (* 0 d) into 0
0.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.196 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.196 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.196 * [taylor]: Taking taylor expansion of (* a c) in b
0.196 * [taylor]: Taking taylor expansion of a in b
0.196 * [backup-simplify]: Simplify a into a
0.196 * [taylor]: Taking taylor expansion of c in b
0.196 * [backup-simplify]: Simplify c into c
0.196 * [backup-simplify]: Simplify (* a c) into (* a c)
0.197 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.197 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.197 * [taylor]: Taking taylor expansion of c in b
0.197 * [backup-simplify]: Simplify c into c
0.197 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.197 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.197 * [taylor]: Taking taylor expansion of d in b
0.197 * [backup-simplify]: Simplify d into d
0.197 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.197 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.197 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.198 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.198 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
0.198 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.198 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.198 * [taylor]: Taking taylor expansion of c in d
0.198 * [backup-simplify]: Simplify c into c
0.198 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.198 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.198 * [taylor]: Taking taylor expansion of d in d
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of d in d
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (* 1 0) into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.203 * [backup-simplify]: Simplify (/ 1 1) into 1
0.203 * [taylor]: Taking taylor expansion of 1 in a
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
0.204 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.204 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
0.206 * [taylor]: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
0.206 * [taylor]: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
0.206 * [taylor]: Taking taylor expansion of a in d
0.206 * [backup-simplify]: Simplify a into a
0.206 * [taylor]: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.206 * [taylor]: Taking taylor expansion of c in d
0.206 * [backup-simplify]: Simplify c into c
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.206 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.206 * [taylor]: Taking taylor expansion of c in d
0.206 * [backup-simplify]: Simplify c into c
0.206 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.207 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.207 * [taylor]: Taking taylor expansion of d in d
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [backup-simplify]: Simplify (+ 0 1) into 1
0.208 * [backup-simplify]: Simplify (* c 1) into c
0.208 * [backup-simplify]: Simplify (* a c) into (* a c)
0.208 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [taylor]: Taking taylor expansion of 0 in a
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [taylor]: Taking taylor expansion of 1 in c
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.215 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.218 * [taylor]: Taking taylor expansion of 0 in d
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of 0 in a
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.218 * [taylor]: Taking taylor expansion of (* a c) in a
0.218 * [taylor]: Taking taylor expansion of a in a
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [taylor]: Taking taylor expansion of c in a
0.218 * [backup-simplify]: Simplify c into c
0.218 * [backup-simplify]: Simplify (* 0 c) into 0
0.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.219 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.219 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.219 * [taylor]: Taking taylor expansion of c in c
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow c 2))) in a
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.226 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.226 * [taylor]: Taking taylor expansion of c in a
0.226 * [backup-simplify]: Simplify c into c
0.226 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.226 * [taylor]: Taking taylor expansion of 0 in c
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [taylor]: Taking taylor expansion of 0 in c
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 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
0.234 * [taylor]: Taking taylor expansion of 0 in d
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [taylor]: Taking taylor expansion of 0 in a
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [taylor]: Taking taylor expansion of 0 in a
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ (* c 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in a
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
0.245 * [taylor]: Taking taylor expansion of 0 in a
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [taylor]: Taking taylor expansion of 0 in c
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.245 * [backup-simplify]: Simplify (+ (* b d) (* a c)) into (+ (* a c) (* b d))
0.245 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (b d a c) around 0
0.245 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.245 * [taylor]: Taking taylor expansion of (* a c) in c
0.245 * [taylor]: Taking taylor expansion of a in c
0.245 * [backup-simplify]: Simplify a into a
0.245 * [taylor]: Taking taylor expansion of c in c
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (* b d) in c
0.245 * [taylor]: Taking taylor expansion of b in c
0.245 * [backup-simplify]: Simplify b into b
0.245 * [taylor]: Taking taylor expansion of d in c
0.245 * [backup-simplify]: Simplify d into d
0.245 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.245 * [taylor]: Taking taylor expansion of (* a c) in a
0.246 * [taylor]: Taking taylor expansion of a in a
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of c in a
0.246 * [backup-simplify]: Simplify c into c
0.246 * [taylor]: Taking taylor expansion of (* b d) in a
0.246 * [taylor]: Taking taylor expansion of b in a
0.246 * [backup-simplify]: Simplify b into b
0.246 * [taylor]: Taking taylor expansion of d in a
0.246 * [backup-simplify]: Simplify d into d
0.246 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.246 * [taylor]: Taking taylor expansion of (* a c) in d
0.246 * [taylor]: Taking taylor expansion of a in d
0.246 * [backup-simplify]: Simplify a into a
0.246 * [taylor]: Taking taylor expansion of c in d
0.246 * [backup-simplify]: Simplify c into c
0.246 * [taylor]: Taking taylor expansion of (* b d) in d
0.246 * [taylor]: Taking taylor expansion of b in d
0.246 * [backup-simplify]: Simplify b into b
0.246 * [taylor]: Taking taylor expansion of d in d
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.246 * [taylor]: Taking taylor expansion of (* a c) in b
0.246 * [taylor]: Taking taylor expansion of a in b
0.246 * [backup-simplify]: Simplify a into a
0.246 * [taylor]: Taking taylor expansion of c in b
0.246 * [backup-simplify]: Simplify c into c
0.246 * [taylor]: Taking taylor expansion of (* b d) in b
0.246 * [taylor]: Taking taylor expansion of b in b
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of d in b
0.246 * [backup-simplify]: Simplify d into d
0.246 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.246 * [taylor]: Taking taylor expansion of (* a c) in b
0.246 * [taylor]: Taking taylor expansion of a in b
0.246 * [backup-simplify]: Simplify a into a
0.246 * [taylor]: Taking taylor expansion of c in b
0.246 * [backup-simplify]: Simplify c into c
0.246 * [taylor]: Taking taylor expansion of (* b d) in b
0.247 * [taylor]: Taking taylor expansion of b in b
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of d in b
0.247 * [backup-simplify]: Simplify d into d
0.247 * [backup-simplify]: Simplify (* a c) into (* a c)
0.247 * [backup-simplify]: Simplify (* 0 d) into 0
0.247 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.247 * [taylor]: Taking taylor expansion of (* a c) in d
0.247 * [taylor]: Taking taylor expansion of a in d
0.247 * [backup-simplify]: Simplify a into a
0.247 * [taylor]: Taking taylor expansion of c in d
0.247 * [backup-simplify]: Simplify c into c
0.247 * [backup-simplify]: Simplify (* a c) into (* a c)
0.247 * [taylor]: Taking taylor expansion of (* a c) in a
0.247 * [taylor]: Taking taylor expansion of a in a
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of c in a
0.247 * [backup-simplify]: Simplify c into c
0.247 * [backup-simplify]: Simplify (* 0 c) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in c
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.248 * [backup-simplify]: Simplify (+ 0 d) into d
0.248 * [taylor]: Taking taylor expansion of d in d
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of 0 in a
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in c
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in a
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in c
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.249 * [taylor]: Taking taylor expansion of c in c
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [taylor]: Taking taylor expansion of 0 in d
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [taylor]: Taking taylor expansion of 0 in a
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [taylor]: Taking taylor expansion of 0 in c
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.251 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (b d a c) around 0
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.252 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.252 * [taylor]: Taking taylor expansion of (* b d) in c
0.252 * [taylor]: Taking taylor expansion of b in c
0.252 * [backup-simplify]: Simplify b into b
0.252 * [taylor]: Taking taylor expansion of d in c
0.252 * [backup-simplify]: Simplify d into d
0.252 * [backup-simplify]: Simplify (* b d) into (* b d)
0.252 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.252 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.252 * [taylor]: Taking taylor expansion of (* a c) in c
0.252 * [taylor]: Taking taylor expansion of a in c
0.252 * [backup-simplify]: Simplify a into a
0.252 * [taylor]: Taking taylor expansion of c in c
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* a 0) into 0
0.252 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.252 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.253 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.253 * [taylor]: Taking taylor expansion of (* b d) in a
0.253 * [taylor]: Taking taylor expansion of b in a
0.253 * [backup-simplify]: Simplify b into b
0.253 * [taylor]: Taking taylor expansion of d in a
0.253 * [backup-simplify]: Simplify d into d
0.253 * [backup-simplify]: Simplify (* b d) into (* b d)
0.253 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.253 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.253 * [taylor]: Taking taylor expansion of (* a c) in a
0.253 * [taylor]: Taking taylor expansion of a in a
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of c in a
0.253 * [backup-simplify]: Simplify c into c
0.253 * [backup-simplify]: Simplify (* 0 c) into 0
0.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.254 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.254 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.254 * [taylor]: Taking taylor expansion of (* b d) in d
0.254 * [taylor]: Taking taylor expansion of b in d
0.254 * [backup-simplify]: Simplify b into b
0.254 * [taylor]: Taking taylor expansion of d in d
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* b 0) into 0
0.254 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.254 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.254 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.254 * [taylor]: Taking taylor expansion of (* a c) in d
0.254 * [taylor]: Taking taylor expansion of a in d
0.254 * [backup-simplify]: Simplify a into a
0.254 * [taylor]: Taking taylor expansion of c in d
0.254 * [backup-simplify]: Simplify c into c
0.255 * [backup-simplify]: Simplify (* a c) into (* a c)
0.255 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.255 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.255 * [taylor]: Taking taylor expansion of (* b d) in b
0.255 * [taylor]: Taking taylor expansion of b in b
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [taylor]: Taking taylor expansion of d in b
0.255 * [backup-simplify]: Simplify d into d
0.255 * [backup-simplify]: Simplify (* 0 d) into 0
0.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.255 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.255 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.255 * [taylor]: Taking taylor expansion of (* a c) in b
0.255 * [taylor]: Taking taylor expansion of a in b
0.255 * [backup-simplify]: Simplify a into a
0.255 * [taylor]: Taking taylor expansion of c in b
0.255 * [backup-simplify]: Simplify c into c
0.256 * [backup-simplify]: Simplify (* a c) into (* a c)
0.256 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.256 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.256 * [taylor]: Taking taylor expansion of (* b d) in b
0.256 * [taylor]: Taking taylor expansion of b in b
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of d in b
0.256 * [backup-simplify]: Simplify d into d
0.256 * [backup-simplify]: Simplify (* 0 d) into 0
0.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.256 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.256 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.256 * [taylor]: Taking taylor expansion of (* a c) in b
0.256 * [taylor]: Taking taylor expansion of a in b
0.257 * [backup-simplify]: Simplify a into a
0.257 * [taylor]: Taking taylor expansion of c in b
0.257 * [backup-simplify]: Simplify c into c
0.257 * [backup-simplify]: Simplify (* a c) into (* a c)
0.257 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.257 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.257 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.257 * [taylor]: Taking taylor expansion of d in d
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [taylor]: Taking taylor expansion of 1 in a
0.257 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
0.259 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.259 * [taylor]: Taking taylor expansion of (* a c) in d
0.259 * [taylor]: Taking taylor expansion of a in d
0.259 * [backup-simplify]: Simplify a into a
0.259 * [taylor]: Taking taylor expansion of c in d
0.259 * [backup-simplify]: Simplify c into c
0.259 * [backup-simplify]: Simplify (* a c) into (* a c)
0.259 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [taylor]: Taking taylor expansion of 0 in a
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [taylor]: Taking taylor expansion of 1 in c
0.260 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in d
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.262 * [taylor]: Taking taylor expansion of (* a c) in a
0.262 * [taylor]: Taking taylor expansion of a in a
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of c in a
0.262 * [backup-simplify]: Simplify c into c
0.262 * [backup-simplify]: Simplify (* 0 c) into 0
0.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.263 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.263 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.263 * [taylor]: Taking taylor expansion of c in c
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in a
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [taylor]: Taking taylor expansion of 0 in c
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [taylor]: Taking taylor expansion of 0 in c
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in d
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in a
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in a
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in a
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.270 * [taylor]: Taking taylor expansion of 0 in c
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [taylor]: Taking taylor expansion of 0 in c
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [taylor]: Taking taylor expansion of 0 in c
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [taylor]: Taking taylor expansion of 0 in c
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in d
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [taylor]: Taking taylor expansion of 0 in a
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [taylor]: Taking taylor expansion of 0 in a
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.276 * [taylor]: Taking taylor expansion of 0 in a
0.276 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in a
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in c
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in c
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [taylor]: Taking taylor expansion of 0 in c
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.279 * [taylor]: Taking taylor expansion of 0 in c
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in c
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in c
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in c
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 d)) (/ 1 (/ 1 b)))))) (* 1 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (* 1 1))))) into (+ (* a c) (* b d))
0.280 * [backup-simplify]: Simplify (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.280 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (b d a c) around 0
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.281 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.281 * [taylor]: Taking taylor expansion of (* b d) in c
0.281 * [taylor]: Taking taylor expansion of b in c
0.281 * [backup-simplify]: Simplify b into b
0.281 * [taylor]: Taking taylor expansion of d in c
0.281 * [backup-simplify]: Simplify d into d
0.281 * [backup-simplify]: Simplify (* b d) into (* b d)
0.281 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.281 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.281 * [taylor]: Taking taylor expansion of (* a c) in c
0.281 * [taylor]: Taking taylor expansion of a in c
0.281 * [backup-simplify]: Simplify a into a
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 * [backup-simplify]: Simplify (* a 0) into 0
0.282 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.282 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.282 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.282 * [taylor]: Taking taylor expansion of (* b d) in a
0.282 * [taylor]: Taking taylor expansion of b in a
0.282 * [backup-simplify]: Simplify b into b
0.282 * [taylor]: Taking taylor expansion of d in a
0.282 * [backup-simplify]: Simplify d into d
0.282 * [backup-simplify]: Simplify (* b d) into (* b d)
0.282 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.282 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.282 * [taylor]: Taking taylor expansion of (* a c) in a
0.282 * [taylor]: Taking taylor expansion of a in a
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [taylor]: Taking taylor expansion of c in a
0.282 * [backup-simplify]: Simplify c into c
0.282 * [backup-simplify]: Simplify (* 0 c) into 0
0.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.283 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.283 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.283 * [taylor]: Taking taylor expansion of (* b d) in d
0.283 * [taylor]: Taking taylor expansion of b in d
0.283 * [backup-simplify]: Simplify b into b
0.283 * [taylor]: Taking taylor expansion of d in d
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* b 0) into 0
0.284 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.284 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.284 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.284 * [taylor]: Taking taylor expansion of (* a c) in d
0.284 * [taylor]: Taking taylor expansion of a in d
0.284 * [backup-simplify]: Simplify a into a
0.284 * [taylor]: Taking taylor expansion of c in d
0.284 * [backup-simplify]: Simplify c into c
0.284 * [backup-simplify]: Simplify (* a c) into (* a c)
0.284 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.284 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.284 * [taylor]: Taking taylor expansion of (* b d) in b
0.284 * [taylor]: Taking taylor expansion of b in b
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of d in b
0.284 * [backup-simplify]: Simplify d into d
0.284 * [backup-simplify]: Simplify (* 0 d) into 0
0.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.284 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.284 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.284 * [taylor]: Taking taylor expansion of (* a c) in b
0.284 * [taylor]: Taking taylor expansion of a in b
0.285 * [backup-simplify]: Simplify a into a
0.285 * [taylor]: Taking taylor expansion of c in b
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
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [taylor]: Taking taylor expansion of d in b
0.285 * [backup-simplify]: Simplify d into d
0.285 * [backup-simplify]: Simplify (* 0 d) into 0
0.285 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.285 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.285 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.285 * [taylor]: Taking taylor expansion of (* a c) in b
0.285 * [taylor]: Taking taylor expansion of a in b
0.285 * [backup-simplify]: Simplify a into a
0.285 * [taylor]: Taking taylor expansion of c in b
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 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.285 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.285 * [taylor]: Taking taylor expansion of d in d
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of 1 in a
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
0.286 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.286 * [taylor]: Taking taylor expansion of (* a c) in d
0.286 * [taylor]: Taking taylor expansion of a in d
0.286 * [backup-simplify]: Simplify a into a
0.286 * [taylor]: Taking taylor expansion of c in d
0.286 * [backup-simplify]: Simplify c into c
0.286 * [backup-simplify]: Simplify (* a c) into (* a c)
0.287 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in a
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [taylor]: Taking taylor expansion of 1 in c
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in d
0.288 * [backup-simplify]: Simplify 0 into 0
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 c) in c
0.289 * [taylor]: Taking taylor expansion of c in c
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in a
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in c
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in c
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.291 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in d
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in a
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in a
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in a
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in c
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [taylor]: Taking taylor expansion of 0 in c
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [taylor]: Taking taylor expansion of 0 in c
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [taylor]: Taking taylor expansion of 0 in c
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in d
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [taylor]: Taking taylor expansion of 0 in a
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [taylor]: Taking taylor expansion of 0 in a
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in a
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in a
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in c
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in c
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in c
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in c
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in c
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in c
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in c
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- d))) (/ 1 (/ 1 (- b))))))) (* 1 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (* 1 1))))) into (+ (* a c) (* b d))
0.299 * * * [progress]: simplifying candidates
0.300 * [simplify]: Simplifying:
  (- (log (+ (* b d) (* a c))) (log (+ (* 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)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* 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))))
  (- (+ (* b d) (* a c)))
  (- (+ (* c c) (* d d)))
  (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (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)))) 1)
  (/ (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))) 1)
  (/ (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 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)) 1)
  (/ (+ (* 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)) (+ (pow (* c c) 3) (pow (* d d) 3)))
  (/ (+ (* b d) (* a c)) (- (* (* c c) (* c c)) (* (* d d) (* d d))))
  (* (+ (* c c) (* d d)) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))
  (* (+ (* c c) (* d d)) (- (* b d) (* a c)))
  (* (exp (* b d)) (exp (* 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)))
  (+ (pow (* b d) 3) (pow (* a c) 3))
  (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))
  (- (* (* b d) (* b d)) (* (* a c) (* a c)))
  (- (* b d) (* a c))
  0
  0
  0
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
0.301 * * [simplify]: iteration 0: 84 enodes
0.316 * * [simplify]: iteration 1: 235 enodes
0.393 * * [simplify]: iteration 2: 904 enodes
1.080 * * [simplify]: iteration 3: 4324 enodes
2.397 * * [simplify]: iteration complete: 5001 enodes
2.397 * * [simplify]: Extracting #0: cost 44 inf + 0
2.399 * * [simplify]: Extracting #1: cost 565 inf + 2
2.406 * * [simplify]: Extracting #2: cost 1272 inf + 3
2.416 * * [simplify]: Extracting #3: cost 1471 inf + 259
2.426 * * [simplify]: Extracting #4: cost 1265 inf + 2443
2.435 * * [simplify]: Extracting #5: cost 396 inf + 17949
2.449 * * [simplify]: Extracting #6: cost 12 inf + 26869
2.459 * * [simplify]: Extracting #7: cost 0 inf + 27299
2.468 * [simplify]: Simplified to:
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
  (* (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))))
  (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (- (* d (- b)) (* a c))
  (- (* c (- c)) (* d d))
  (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (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))) (cbrt (+ (* a c) (* b d))))
  (/ (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)))
  (/ (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
  (/ (+ (* 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))
  (/ (+ (* 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 d 6) (pow c 6)))
  (/ (+ (* a c) (* b d)) (- (pow c 4) (pow d 4)))
  (* (+ (* (* a (* a c)) c) (* (* b d) (- (* b d) (* a c)))) (+ (* c c) (* d d)))
  (* (- (* b d) (* a c)) (+ (* 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)))
  (pow (+ (* a c) (* b d)) 3)
  (sqrt (+ (* a c) (* b d)))
  (sqrt (+ (* a c) (* b d)))
  (+ (pow (* b d) 3) (pow (* a c) 3))
  (+ (* (* a (* a c)) c) (* (* b d) (- (* b d) (* a c))))
  (- (* (* d (* b b)) d) (* (* a (* a c)) c))
  (- (* b d) (* a c))
  0
  0
  0
  0
  (+ (* a c) (* b d))
  (+ (* a c) (* b d))
2.469 * * * [progress]: adding candidates to table
2.755 * * [progress]: iteration 2 / 4
2.755 * * * [progress]: picking best candidate
2.843 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
2.843 * * * [progress]: localizing error
2.889 * * * [progress]: generating rewritten candidates
2.889 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.963 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.055 * * * [progress]: generating series expansions
3.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.055 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
3.055 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
3.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
3.055 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.055 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.055 * [taylor]: Taking taylor expansion of c in d
3.055 * [backup-simplify]: Simplify c into c
3.055 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.055 * [taylor]: Taking taylor expansion of d in d
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.056 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.056 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
3.056 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.056 * [backup-simplify]: Simplify (+ 0 0) into 0
3.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
3.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.056 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.057 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.057 * [taylor]: Taking taylor expansion of c in c
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 1 into 1
3.057 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.057 * [taylor]: Taking taylor expansion of d in c
3.057 * [backup-simplify]: Simplify d into d
3.057 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.057 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.057 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.057 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.057 * [backup-simplify]: Simplify (+ 0 0) into 0
3.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.057 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.057 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.057 * [taylor]: Taking taylor expansion of c in c
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 1 into 1
3.057 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.057 * [taylor]: Taking taylor expansion of d in c
3.057 * [backup-simplify]: Simplify d into d
3.057 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.057 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.058 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.058 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.058 * [taylor]: Taking taylor expansion of d in d
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 1 into 1
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [taylor]: Taking taylor expansion of 0 in d
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 1 into 1
3.058 * [backup-simplify]: Simplify (* 1 1) into 1
3.059 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.059 * [backup-simplify]: Simplify (+ 1 0) into 1
3.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
3.059 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
3.059 * [taylor]: Taking taylor expansion of 1/2 in d
3.059 * [backup-simplify]: Simplify 1/2 into 1/2
3.059 * [taylor]: Taking taylor expansion of d in d
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 1 into 1
3.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.061 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
3.061 * [taylor]: Taking taylor expansion of 0 in d
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
3.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.062 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.062 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.062 * [taylor]: Taking taylor expansion of c in d
3.062 * [backup-simplify]: Simplify c into c
3.063 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.063 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.063 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.063 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.063 * [taylor]: Taking taylor expansion of d in d
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify (* 1 1) into 1
3.063 * [backup-simplify]: Simplify (/ 1 1) into 1
3.063 * [backup-simplify]: Simplify (+ 0 1) into 1
3.064 * [backup-simplify]: Simplify (sqrt 1) into 1
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.065 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.065 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.065 * [taylor]: Taking taylor expansion of c in c
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 1 into 1
3.066 * [backup-simplify]: Simplify (* 1 1) into 1
3.066 * [backup-simplify]: Simplify (/ 1 1) into 1
3.066 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.066 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.066 * [taylor]: Taking taylor expansion of d in c
3.066 * [backup-simplify]: Simplify d into d
3.066 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.066 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.066 * [backup-simplify]: Simplify (+ 1 0) into 1
3.067 * [backup-simplify]: Simplify (sqrt 1) into 1
3.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.068 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.068 * [taylor]: Taking taylor expansion of c in c
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.069 * [backup-simplify]: Simplify (/ 1 1) into 1
3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.069 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.069 * [taylor]: Taking taylor expansion of d in c
3.069 * [backup-simplify]: Simplify d into d
3.069 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.069 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.069 * [backup-simplify]: Simplify (+ 1 0) into 1
3.069 * [backup-simplify]: Simplify (sqrt 1) into 1
3.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.070 * [backup-simplify]: Simplify (+ 0 0) into 0
3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.071 * [taylor]: Taking taylor expansion of 1 in d
3.071 * [backup-simplify]: Simplify 1 into 1
3.071 * [taylor]: Taking taylor expansion of 0 in d
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.073 * [taylor]: Taking taylor expansion of 1/2 in d
3.073 * [backup-simplify]: Simplify 1/2 into 1/2
3.073 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.073 * [taylor]: Taking taylor expansion of d in d
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (* 1 1) into 1
3.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.076 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.076 * [taylor]: Taking taylor expansion of 0 in d
3.076 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
3.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.078 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.078 * [taylor]: Taking taylor expansion of c in d
3.078 * [backup-simplify]: Simplify c into c
3.078 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.078 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.078 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.078 * [taylor]: Taking taylor expansion of d in d
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [backup-simplify]: Simplify (+ 0 1) into 1
3.079 * [backup-simplify]: Simplify (sqrt 1) into 1
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.081 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.081 * [taylor]: Taking taylor expansion of c in c
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.081 * [backup-simplify]: Simplify (/ 1 1) into 1
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.081 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.081 * [taylor]: Taking taylor expansion of d in c
3.081 * [backup-simplify]: Simplify d into d
3.081 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.081 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.082 * [backup-simplify]: Simplify (+ 1 0) into 1
3.082 * [backup-simplify]: Simplify (sqrt 1) into 1
3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.083 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.083 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.083 * [taylor]: Taking taylor expansion of c in c
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (* 1 1) into 1
3.084 * [backup-simplify]: Simplify (/ 1 1) into 1
3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.084 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.084 * [taylor]: Taking taylor expansion of d in c
3.084 * [backup-simplify]: Simplify d into d
3.084 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.084 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.084 * [backup-simplify]: Simplify (+ 1 0) into 1
3.085 * [backup-simplify]: Simplify (sqrt 1) into 1
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.086 * [taylor]: Taking taylor expansion of 1 in d
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [taylor]: Taking taylor expansion of 0 in d
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.088 * [taylor]: Taking taylor expansion of 1/2 in d
3.088 * [backup-simplify]: Simplify 1/2 into 1/2
3.088 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.088 * [taylor]: Taking taylor expansion of d in d
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 1 into 1
3.088 * [backup-simplify]: Simplify (* 1 1) into 1
3.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.095 * [backup-simplify]: Simplify (+ 0 0) into 0
3.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.096 * [taylor]: Taking taylor expansion of 0 in d
3.096 * [backup-simplify]: Simplify 0 into 0
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
3.098 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
3.098 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
3.098 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
3.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
3.098 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.098 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.098 * [taylor]: Taking taylor expansion of c in d
3.098 * [backup-simplify]: Simplify c into c
3.099 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.099 * [taylor]: Taking taylor expansion of d in d
3.099 * [backup-simplify]: Simplify 0 into 0
3.099 * [backup-simplify]: Simplify 1 into 1
3.099 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.099 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.099 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
3.099 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
3.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.100 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.100 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.100 * [taylor]: Taking taylor expansion of c in c
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.100 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.100 * [taylor]: Taking taylor expansion of d in c
3.100 * [backup-simplify]: Simplify d into d
3.100 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.100 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.101 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.101 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.101 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.102 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.102 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.102 * [taylor]: Taking taylor expansion of c in c
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.102 * [taylor]: Taking taylor expansion of d in c
3.102 * [backup-simplify]: Simplify d into d
3.102 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.102 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.102 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.102 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.103 * [taylor]: Taking taylor expansion of d in d
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 1 into 1
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [taylor]: Taking taylor expansion of 0 in d
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 1 into 1
3.104 * [backup-simplify]: Simplify (* 1 1) into 1
3.104 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.104 * [backup-simplify]: Simplify (+ 1 0) into 1
3.105 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
3.105 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
3.105 * [taylor]: Taking taylor expansion of 1/2 in d
3.105 * [backup-simplify]: Simplify 1/2 into 1/2
3.105 * [taylor]: Taking taylor expansion of d in d
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.108 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.109 * [backup-simplify]: Simplify (+ 0 0) into 0
3.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
3.109 * [taylor]: Taking taylor expansion of 0 in d
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
3.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.110 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.110 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.111 * [taylor]: Taking taylor expansion of c in d
3.111 * [backup-simplify]: Simplify c into c
3.111 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.111 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.111 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.111 * [taylor]: Taking taylor expansion of d in d
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 1 into 1
3.111 * [backup-simplify]: Simplify (* 1 1) into 1
3.112 * [backup-simplify]: Simplify (/ 1 1) into 1
3.112 * [backup-simplify]: Simplify (+ 0 1) into 1
3.112 * [backup-simplify]: Simplify (sqrt 1) into 1
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.115 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.115 * [taylor]: Taking taylor expansion of c in c
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [backup-simplify]: Simplify (* 1 1) into 1
3.116 * [backup-simplify]: Simplify (/ 1 1) into 1
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.116 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.116 * [taylor]: Taking taylor expansion of d in c
3.116 * [backup-simplify]: Simplify d into d
3.116 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.116 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.116 * [backup-simplify]: Simplify (+ 1 0) into 1
3.117 * [backup-simplify]: Simplify (sqrt 1) into 1
3.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.118 * [backup-simplify]: Simplify (+ 0 0) into 0
3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.119 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.119 * [taylor]: Taking taylor expansion of c in c
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 1 into 1
3.120 * [backup-simplify]: Simplify (* 1 1) into 1
3.120 * [backup-simplify]: Simplify (/ 1 1) into 1
3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.120 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.120 * [taylor]: Taking taylor expansion of d in c
3.120 * [backup-simplify]: Simplify d into d
3.120 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.120 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.121 * [backup-simplify]: Simplify (+ 1 0) into 1
3.121 * [backup-simplify]: Simplify (sqrt 1) into 1
3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.123 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.124 * [taylor]: Taking taylor expansion of 1 in d
3.124 * [backup-simplify]: Simplify 1 into 1
3.124 * [taylor]: Taking taylor expansion of 0 in d
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [backup-simplify]: Simplify 1 into 1
3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.127 * [taylor]: Taking taylor expansion of 1/2 in d
3.127 * [backup-simplify]: Simplify 1/2 into 1/2
3.127 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.127 * [taylor]: Taking taylor expansion of d in d
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (* 1 1) into 1
3.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.132 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.133 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.133 * [taylor]: Taking taylor expansion of 0 in d
3.133 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
3.136 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.136 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.136 * [taylor]: Taking taylor expansion of c in d
3.136 * [backup-simplify]: Simplify c into c
3.136 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.136 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.136 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.136 * [taylor]: Taking taylor expansion of d in d
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* 1 1) into 1
3.137 * [backup-simplify]: Simplify (/ 1 1) into 1
3.138 * [backup-simplify]: Simplify (+ 0 1) into 1
3.138 * [backup-simplify]: Simplify (sqrt 1) into 1
3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.140 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.140 * [taylor]: Taking taylor expansion of c in c
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.141 * [backup-simplify]: Simplify (* 1 1) into 1
3.141 * [backup-simplify]: Simplify (/ 1 1) into 1
3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.141 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.141 * [taylor]: Taking taylor expansion of d in c
3.141 * [backup-simplify]: Simplify d into d
3.141 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.141 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.141 * [backup-simplify]: Simplify (+ 1 0) into 1
3.142 * [backup-simplify]: Simplify (sqrt 1) into 1
3.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.143 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.143 * [taylor]: Taking taylor expansion of c in c
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify (* 1 1) into 1
3.144 * [backup-simplify]: Simplify (/ 1 1) into 1
3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.144 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.144 * [taylor]: Taking taylor expansion of d in c
3.144 * [backup-simplify]: Simplify d into d
3.144 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.144 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.144 * [backup-simplify]: Simplify (+ 1 0) into 1
3.144 * [backup-simplify]: Simplify (sqrt 1) into 1
3.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.146 * [taylor]: Taking taylor expansion of 1 in d
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [taylor]: Taking taylor expansion of 0 in d
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.148 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.148 * [taylor]: Taking taylor expansion of 1/2 in d
3.148 * [backup-simplify]: Simplify 1/2 into 1/2
3.148 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.148 * [taylor]: Taking taylor expansion of d in d
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.151 * [taylor]: Taking taylor expansion of 0 in d
3.151 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
3.153 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
3.153 * [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)))))
3.153 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
3.153 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
3.153 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
3.153 * [taylor]: Taking taylor expansion of (* a c) in d
3.153 * [taylor]: Taking taylor expansion of a in d
3.153 * [backup-simplify]: Simplify a into a
3.153 * [taylor]: Taking taylor expansion of c in d
3.153 * [backup-simplify]: Simplify c into c
3.153 * [taylor]: Taking taylor expansion of (* b d) in d
3.153 * [taylor]: Taking taylor expansion of b in d
3.153 * [backup-simplify]: Simplify b into b
3.153 * [taylor]: Taking taylor expansion of d in d
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
3.153 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
3.153 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.153 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.153 * [taylor]: Taking taylor expansion of c in d
3.153 * [backup-simplify]: Simplify c into c
3.153 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.153 * [taylor]: Taking taylor expansion of d in d
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.153 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.154 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.154 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
3.154 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.154 * [backup-simplify]: Simplify (+ 0 0) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
3.154 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
3.154 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
3.154 * [taylor]: Taking taylor expansion of (* a c) in b
3.154 * [taylor]: Taking taylor expansion of a in b
3.154 * [backup-simplify]: Simplify a into a
3.154 * [taylor]: Taking taylor expansion of c in b
3.154 * [backup-simplify]: Simplify c into c
3.154 * [taylor]: Taking taylor expansion of (* b d) in b
3.154 * [taylor]: Taking taylor expansion of b in b
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [taylor]: Taking taylor expansion of d in b
3.154 * [backup-simplify]: Simplify d into d
3.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
3.154 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
3.154 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
3.154 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.155 * [taylor]: Taking taylor expansion of c in b
3.155 * [backup-simplify]: Simplify c into c
3.155 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.155 * [taylor]: Taking taylor expansion of d in b
3.155 * [backup-simplify]: Simplify d into d
3.155 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.155 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.155 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.155 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.155 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.155 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.155 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.155 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.156 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
3.156 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
3.156 * [taylor]: Taking taylor expansion of (* a c) in c
3.156 * [taylor]: Taking taylor expansion of a in c
3.156 * [backup-simplify]: Simplify a into a
3.156 * [taylor]: Taking taylor expansion of c in c
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [taylor]: Taking taylor expansion of (* b d) in c
3.156 * [taylor]: Taking taylor expansion of b in c
3.156 * [backup-simplify]: Simplify b into b
3.156 * [taylor]: Taking taylor expansion of d in c
3.156 * [backup-simplify]: Simplify d into d
3.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.156 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.156 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.156 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.156 * [taylor]: Taking taylor expansion of c in c
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.156 * [taylor]: Taking taylor expansion of d in c
3.156 * [backup-simplify]: Simplify d into d
3.156 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.156 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.157 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.157 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.157 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.157 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
3.157 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.157 * [taylor]: Taking taylor expansion of (* a c) in a
3.157 * [taylor]: Taking taylor expansion of a in a
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify 1 into 1
3.157 * [taylor]: Taking taylor expansion of c in a
3.157 * [backup-simplify]: Simplify c into c
3.157 * [taylor]: Taking taylor expansion of (* b d) in a
3.157 * [taylor]: Taking taylor expansion of b in a
3.157 * [backup-simplify]: Simplify b into b
3.157 * [taylor]: Taking taylor expansion of d in a
3.157 * [backup-simplify]: Simplify d into d
3.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
3.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
3.157 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.157 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.157 * [taylor]: Taking taylor expansion of c in a
3.157 * [backup-simplify]: Simplify c into c
3.158 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.158 * [taylor]: Taking taylor expansion of d in a
3.158 * [backup-simplify]: Simplify d into d
3.158 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.158 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.158 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.158 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.158 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.158 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.158 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.158 * [backup-simplify]: Simplify (+ 0 0) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.159 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
3.159 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.159 * [taylor]: Taking taylor expansion of (* a c) in a
3.159 * [taylor]: Taking taylor expansion of a in a
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.159 * [taylor]: Taking taylor expansion of c in a
3.159 * [backup-simplify]: Simplify c into c
3.159 * [taylor]: Taking taylor expansion of (* b d) in a
3.159 * [taylor]: Taking taylor expansion of b in a
3.159 * [backup-simplify]: Simplify b into b
3.159 * [taylor]: Taking taylor expansion of d in a
3.159 * [backup-simplify]: Simplify d into d
3.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
3.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
3.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.159 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.159 * [taylor]: Taking taylor expansion of c in a
3.159 * [backup-simplify]: Simplify c into c
3.159 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.159 * [taylor]: Taking taylor expansion of d in a
3.159 * [backup-simplify]: Simplify d into d
3.159 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.159 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.159 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.160 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.160 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.160 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.160 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.160 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.161 * [backup-simplify]: Simplify (* 0 c) into 0
3.161 * [backup-simplify]: Simplify (* b d) into (* b d)
3.161 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.161 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
3.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
3.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.161 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.161 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.161 * [taylor]: Taking taylor expansion of c in c
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 1 into 1
3.161 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.161 * [taylor]: Taking taylor expansion of d in c
3.161 * [backup-simplify]: Simplify d into d
3.161 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.161 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.161 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.161 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.161 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.162 * [backup-simplify]: Simplify (+ 0 0) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.162 * [taylor]: Taking taylor expansion of (* b d) in c
3.162 * [taylor]: Taking taylor expansion of b in c
3.162 * [backup-simplify]: Simplify b into b
3.162 * [taylor]: Taking taylor expansion of d in c
3.162 * [backup-simplify]: Simplify d into d
3.162 * [backup-simplify]: Simplify (* b d) into (* b d)
3.162 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
3.162 * [taylor]: Taking taylor expansion of b in b
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 1 into 1
3.162 * [taylor]: Taking taylor expansion of 0 in d
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.163 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.163 * [backup-simplify]: Simplify (+ c 0) into c
3.163 * [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)))))
3.163 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
3.163 * [taylor]: Taking taylor expansion of c in c
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.163 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.163 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.163 * [taylor]: Taking taylor expansion of c in c
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.163 * [taylor]: Taking taylor expansion of d in c
3.163 * [backup-simplify]: Simplify d into d
3.163 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.163 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.163 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.163 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.163 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.164 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
3.164 * [taylor]: Taking taylor expansion of 0 in b
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [taylor]: Taking taylor expansion of 0 in d
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.164 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
3.164 * [taylor]: Taking taylor expansion of 0 in b
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [taylor]: Taking taylor expansion of 0 in d
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [taylor]: Taking taylor expansion of 1 in d
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify 1 into 1
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.165 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [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
3.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.167 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
3.168 * [taylor]: Taking taylor expansion of 0 in c
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [taylor]: Taking taylor expansion of 0 in b
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [taylor]: Taking taylor expansion of 0 in d
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
3.168 * [taylor]: Taking taylor expansion of (/ 1 d) in b
3.168 * [taylor]: Taking taylor expansion of d in b
3.168 * [backup-simplify]: Simplify d into d
3.168 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.168 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.168 * [taylor]: Taking taylor expansion of d in d
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.169 * [backup-simplify]: Simplify (/ 1 1) into 1
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.170 * [backup-simplify]: Simplify (* 1 1) into 1
3.170 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.170 * [backup-simplify]: Simplify (+ 1 0) into 1
3.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
3.171 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
3.172 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
3.172 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
3.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
3.172 * [taylor]: Taking taylor expansion of 1/2 in b
3.172 * [backup-simplify]: Simplify 1/2 into 1/2
3.172 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
3.172 * [taylor]: Taking taylor expansion of b in b
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.172 * [taylor]: Taking taylor expansion of d in b
3.172 * [backup-simplify]: Simplify d into d
3.172 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.173 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.173 * [taylor]: Taking taylor expansion of 0 in d
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [taylor]: Taking taylor expansion of 0 in d
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [taylor]: Taking taylor expansion of 0 in d
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
3.174 * [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))))))
3.174 * [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
3.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.174 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.174 * [taylor]: Taking taylor expansion of (* b d) in d
3.174 * [taylor]: Taking taylor expansion of b in d
3.174 * [backup-simplify]: Simplify b into b
3.174 * [taylor]: Taking taylor expansion of d in d
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (* b 0) into 0
3.175 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.175 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.175 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.175 * [taylor]: Taking taylor expansion of (* a c) in d
3.175 * [taylor]: Taking taylor expansion of a in d
3.175 * [backup-simplify]: Simplify a into a
3.175 * [taylor]: Taking taylor expansion of c in d
3.175 * [backup-simplify]: Simplify c into c
3.175 * [backup-simplify]: Simplify (* a c) into (* a c)
3.175 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
3.175 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.175 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.175 * [taylor]: Taking taylor expansion of c in d
3.175 * [backup-simplify]: Simplify c into c
3.175 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.176 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.176 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.176 * [taylor]: Taking taylor expansion of d in d
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 1 into 1
3.176 * [backup-simplify]: Simplify (* 1 1) into 1
3.177 * [backup-simplify]: Simplify (/ 1 1) into 1
3.177 * [backup-simplify]: Simplify (+ 0 1) into 1
3.177 * [backup-simplify]: Simplify (/ 1 1) into 1
3.178 * [backup-simplify]: Simplify (sqrt 1) into 1
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
3.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.181 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.181 * [taylor]: Taking taylor expansion of (* b d) in b
3.181 * [taylor]: Taking taylor expansion of b in b
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [taylor]: Taking taylor expansion of d in b
3.181 * [backup-simplify]: Simplify d into d
3.181 * [backup-simplify]: Simplify (* 0 d) into 0
3.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.182 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.182 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.182 * [taylor]: Taking taylor expansion of (* a c) in b
3.182 * [taylor]: Taking taylor expansion of a in b
3.182 * [backup-simplify]: Simplify a into a
3.182 * [taylor]: Taking taylor expansion of c in b
3.182 * [backup-simplify]: Simplify c into c
3.182 * [backup-simplify]: Simplify (* a c) into (* a c)
3.182 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
3.182 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.182 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.182 * [taylor]: Taking taylor expansion of c in b
3.182 * [backup-simplify]: Simplify c into c
3.182 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.183 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.183 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.183 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.183 * [taylor]: Taking taylor expansion of d in b
3.183 * [backup-simplify]: Simplify d into d
3.183 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.183 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.183 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.183 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.184 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.184 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.184 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.186 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.186 * [taylor]: Taking taylor expansion of (* b d) in c
3.186 * [taylor]: Taking taylor expansion of b in c
3.186 * [backup-simplify]: Simplify b into b
3.186 * [taylor]: Taking taylor expansion of d in c
3.186 * [backup-simplify]: Simplify d into d
3.186 * [backup-simplify]: Simplify (* b d) into (* b d)
3.186 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.186 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.186 * [taylor]: Taking taylor expansion of (* a c) in c
3.186 * [taylor]: Taking taylor expansion of a in c
3.186 * [backup-simplify]: Simplify a into a
3.187 * [taylor]: Taking taylor expansion of c in c
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.187 * [backup-simplify]: Simplify (* a 0) into 0
3.187 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.187 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.187 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.187 * [taylor]: Taking taylor expansion of c in c
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify 1 into 1
3.188 * [backup-simplify]: Simplify (* 1 1) into 1
3.188 * [backup-simplify]: Simplify (/ 1 1) into 1
3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.188 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.188 * [taylor]: Taking taylor expansion of d in c
3.188 * [backup-simplify]: Simplify d into d
3.188 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.188 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.189 * [backup-simplify]: Simplify (+ 1 0) into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [backup-simplify]: Simplify (sqrt 1) into 1
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.191 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.191 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.191 * [taylor]: Taking taylor expansion of (* b d) in a
3.191 * [taylor]: Taking taylor expansion of b in a
3.191 * [backup-simplify]: Simplify b into b
3.191 * [taylor]: Taking taylor expansion of d in a
3.191 * [backup-simplify]: Simplify d into d
3.191 * [backup-simplify]: Simplify (* b d) into (* b d)
3.191 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.191 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.191 * [taylor]: Taking taylor expansion of (* a c) in a
3.191 * [taylor]: Taking taylor expansion of a in a
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [taylor]: Taking taylor expansion of c in a
3.191 * [backup-simplify]: Simplify c into c
3.191 * [backup-simplify]: Simplify (* 0 c) into 0
3.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.192 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.192 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.192 * [taylor]: Taking taylor expansion of c in a
3.192 * [backup-simplify]: Simplify c into c
3.192 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.192 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.192 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.192 * [taylor]: Taking taylor expansion of d in a
3.192 * [backup-simplify]: Simplify d into d
3.192 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.192 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.192 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.192 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.192 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.193 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.193 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.194 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.194 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.194 * [taylor]: Taking taylor expansion of (* b d) in a
3.194 * [taylor]: Taking taylor expansion of b in a
3.194 * [backup-simplify]: Simplify b into b
3.194 * [taylor]: Taking taylor expansion of d in a
3.194 * [backup-simplify]: Simplify d into d
3.194 * [backup-simplify]: Simplify (* b d) into (* b d)
3.194 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.194 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.194 * [taylor]: Taking taylor expansion of (* a c) in a
3.194 * [taylor]: Taking taylor expansion of a in a
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 1 into 1
3.194 * [taylor]: Taking taylor expansion of c in a
3.194 * [backup-simplify]: Simplify c into c
3.194 * [backup-simplify]: Simplify (* 0 c) into 0
3.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.194 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.194 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.194 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.194 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.195 * [taylor]: Taking taylor expansion of c in a
3.195 * [backup-simplify]: Simplify c into c
3.195 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.195 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.195 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.195 * [taylor]: Taking taylor expansion of d in a
3.195 * [backup-simplify]: Simplify d into d
3.195 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.195 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.195 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.195 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.195 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.195 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.196 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.196 * [backup-simplify]: Simplify (+ 0 0) into 0
3.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.197 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.197 * [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))
3.197 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
3.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.197 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.197 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.197 * [taylor]: Taking taylor expansion of c in c
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.197 * [backup-simplify]: Simplify (* 1 1) into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.198 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.198 * [taylor]: Taking taylor expansion of d in c
3.198 * [backup-simplify]: Simplify d into d
3.198 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.198 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.198 * [backup-simplify]: Simplify (+ 1 0) into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [backup-simplify]: Simplify (sqrt 1) into 1
3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (+ 0 0) into 0
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.200 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.200 * [taylor]: Taking taylor expansion of c in c
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (* 1 1) into 1
3.201 * [taylor]: Taking taylor expansion of 1 in b
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.202 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.202 * [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))))))
3.202 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.202 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.202 * [taylor]: Taking taylor expansion of (* b d) in c
3.202 * [taylor]: Taking taylor expansion of b in c
3.202 * [backup-simplify]: Simplify b into b
3.202 * [taylor]: Taking taylor expansion of d in c
3.202 * [backup-simplify]: Simplify d into d
3.202 * [backup-simplify]: Simplify (* b d) into (* b d)
3.202 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.202 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.202 * [taylor]: Taking taylor expansion of c in c
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.203 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.203 * [taylor]: Taking taylor expansion of d in c
3.203 * [backup-simplify]: Simplify d into d
3.203 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.203 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.203 * [backup-simplify]: Simplify (+ 1 0) into 1
3.204 * [backup-simplify]: Simplify (/ 1 1) into 1
3.204 * [backup-simplify]: Simplify (sqrt 1) into 1
3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ 0 0) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.207 * [taylor]: Taking taylor expansion of 0 in b
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [taylor]: Taking taylor expansion of 1 in d
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify 1 into 1
3.207 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.207 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [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
3.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.209 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.210 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
3.211 * [taylor]: Taking taylor expansion of 0 in c
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [taylor]: Taking taylor expansion of 0 in b
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
3.211 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.211 * [taylor]: Taking taylor expansion of (* b d) in b
3.211 * [taylor]: Taking taylor expansion of b in b
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.211 * [taylor]: Taking taylor expansion of d in b
3.211 * [backup-simplify]: Simplify d into d
3.211 * [backup-simplify]: Simplify (* 0 d) into 0
3.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.211 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.211 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.211 * [taylor]: Taking taylor expansion of d in d
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (/ 1 1) into 1
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.219 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
3.221 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
3.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
3.221 * [taylor]: Taking taylor expansion of 1/2 in b
3.221 * [backup-simplify]: Simplify 1/2 into 1/2
3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.221 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.221 * [taylor]: Taking taylor expansion of d in b
3.221 * [backup-simplify]: Simplify d into d
3.221 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.221 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.221 * [taylor]: Taking taylor expansion of 0 in d
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [taylor]: Taking taylor expansion of 0 in d
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.223 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.224 * [backup-simplify]: Simplify (+ 0 0) into 0
3.226 * [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
3.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.227 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.230 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [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
3.230 * [taylor]: Taking taylor expansion of 0 in c
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [taylor]: Taking taylor expansion of 0 in b
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [taylor]: Taking taylor expansion of 0 in b
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.232 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
3.232 * [taylor]: Taking taylor expansion of 0 in b
3.232 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.235 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.235 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
3.239 * [taylor]: Taking taylor expansion of 0 in b
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [taylor]: Taking taylor expansion of 0 in d
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.240 * [taylor]: Taking taylor expansion of 0 in d
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
3.240 * [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))))))
3.241 * [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
3.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
3.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.241 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.241 * [taylor]: Taking taylor expansion of (* b d) in d
3.241 * [taylor]: Taking taylor expansion of b in d
3.241 * [backup-simplify]: Simplify b into b
3.241 * [taylor]: Taking taylor expansion of d in d
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.241 * [backup-simplify]: Simplify (* b 0) into 0
3.241 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.241 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.241 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.241 * [taylor]: Taking taylor expansion of (* a c) in d
3.241 * [taylor]: Taking taylor expansion of a in d
3.241 * [backup-simplify]: Simplify a into a
3.241 * [taylor]: Taking taylor expansion of c in d
3.241 * [backup-simplify]: Simplify c into c
3.241 * [backup-simplify]: Simplify (* a c) into (* a c)
3.241 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
3.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.242 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.242 * [taylor]: Taking taylor expansion of c in d
3.242 * [backup-simplify]: Simplify c into c
3.242 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.242 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.242 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.242 * [taylor]: Taking taylor expansion of d in d
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [backup-simplify]: Simplify (* 1 1) into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.243 * [backup-simplify]: Simplify (+ 0 1) into 1
3.243 * [backup-simplify]: Simplify (/ 1 1) into 1
3.244 * [backup-simplify]: Simplify (sqrt 1) into 1
3.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.245 * [backup-simplify]: Simplify (+ 0 0) into 0
3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.246 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.246 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.246 * [taylor]: Taking taylor expansion of (* b d) in b
3.246 * [taylor]: Taking taylor expansion of b in b
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 1 into 1
3.246 * [taylor]: Taking taylor expansion of d in b
3.246 * [backup-simplify]: Simplify d into d
3.246 * [backup-simplify]: Simplify (* 0 d) into 0
3.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.246 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.246 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.246 * [taylor]: Taking taylor expansion of (* a c) in b
3.246 * [taylor]: Taking taylor expansion of a in b
3.246 * [backup-simplify]: Simplify a into a
3.246 * [taylor]: Taking taylor expansion of c in b
3.246 * [backup-simplify]: Simplify c into c
3.246 * [backup-simplify]: Simplify (* a c) into (* a c)
3.247 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
3.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.247 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.247 * [taylor]: Taking taylor expansion of c in b
3.247 * [backup-simplify]: Simplify c into c
3.247 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.247 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.247 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.247 * [taylor]: Taking taylor expansion of d in b
3.247 * [backup-simplify]: Simplify d into d
3.247 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.247 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.247 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.247 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.248 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.248 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.248 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.248 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.249 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.249 * [taylor]: Taking taylor expansion of (* b d) in c
3.249 * [taylor]: Taking taylor expansion of b in c
3.249 * [backup-simplify]: Simplify b into b
3.249 * [taylor]: Taking taylor expansion of d in c
3.249 * [backup-simplify]: Simplify d into d
3.249 * [backup-simplify]: Simplify (* b d) into (* b d)
3.249 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.249 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.249 * [taylor]: Taking taylor expansion of (* a c) in c
3.249 * [taylor]: Taking taylor expansion of a in c
3.249 * [backup-simplify]: Simplify a into a
3.249 * [taylor]: Taking taylor expansion of c in c
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* a 0) into 0
3.250 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.250 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.250 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.250 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.250 * [taylor]: Taking taylor expansion of c in c
3.250 * [backup-simplify]: Simplify 0 into 0
3.250 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (* 1 1) into 1
3.250 * [backup-simplify]: Simplify (/ 1 1) into 1
3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.250 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.250 * [taylor]: Taking taylor expansion of d in c
3.250 * [backup-simplify]: Simplify d into d
3.250 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.250 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.251 * [backup-simplify]: Simplify (+ 1 0) into 1
3.251 * [backup-simplify]: Simplify (/ 1 1) into 1
3.251 * [backup-simplify]: Simplify (sqrt 1) into 1
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.252 * [backup-simplify]: Simplify (+ 0 0) into 0
3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.254 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.254 * [taylor]: Taking taylor expansion of (* b d) in a
3.254 * [taylor]: Taking taylor expansion of b in a
3.254 * [backup-simplify]: Simplify b into b
3.254 * [taylor]: Taking taylor expansion of d in a
3.254 * [backup-simplify]: Simplify d into d
3.254 * [backup-simplify]: Simplify (* b d) into (* b d)
3.254 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.254 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.254 * [taylor]: Taking taylor expansion of (* a c) in a
3.254 * [taylor]: Taking taylor expansion of a in a
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [taylor]: Taking taylor expansion of c in a
3.254 * [backup-simplify]: Simplify c into c
3.254 * [backup-simplify]: Simplify (* 0 c) into 0
3.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.254 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.254 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.254 * [taylor]: Taking taylor expansion of c in a
3.254 * [backup-simplify]: Simplify c into c
3.254 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.254 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.254 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.254 * [taylor]: Taking taylor expansion of d in a
3.255 * [backup-simplify]: Simplify d into d
3.255 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.255 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.255 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.255 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.255 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.255 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.255 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.256 * [backup-simplify]: Simplify (+ 0 0) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.256 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.256 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.257 * [taylor]: Taking taylor expansion of (* b d) in a
3.257 * [taylor]: Taking taylor expansion of b in a
3.257 * [backup-simplify]: Simplify b into b
3.257 * [taylor]: Taking taylor expansion of d in a
3.257 * [backup-simplify]: Simplify d into d
3.257 * [backup-simplify]: Simplify (* b d) into (* b d)
3.257 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.257 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.257 * [taylor]: Taking taylor expansion of (* a c) in a
3.257 * [taylor]: Taking taylor expansion of a in a
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.257 * [taylor]: Taking taylor expansion of c in a
3.257 * [backup-simplify]: Simplify c into c
3.257 * [backup-simplify]: Simplify (* 0 c) into 0
3.257 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.257 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.257 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.257 * [taylor]: Taking taylor expansion of c in a
3.257 * [backup-simplify]: Simplify c into c
3.257 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.257 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.257 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.257 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.257 * [taylor]: Taking taylor expansion of d in a
3.257 * [backup-simplify]: Simplify d into d
3.257 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.257 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.258 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.258 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.258 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.258 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.258 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.259 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.260 * [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))
3.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
3.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.260 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.260 * [taylor]: Taking taylor expansion of c in c
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (* 1 1) into 1
3.260 * [backup-simplify]: Simplify (/ 1 1) into 1
3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.260 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.260 * [taylor]: Taking taylor expansion of d in c
3.260 * [backup-simplify]: Simplify d into d
3.260 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.260 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.261 * [backup-simplify]: Simplify (+ 1 0) into 1
3.261 * [backup-simplify]: Simplify (/ 1 1) into 1
3.261 * [backup-simplify]: Simplify (sqrt 1) into 1
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.262 * [backup-simplify]: Simplify (+ 0 0) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.263 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.263 * [taylor]: Taking taylor expansion of c in c
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.263 * [backup-simplify]: Simplify (/ 1 1) into 1
3.264 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [taylor]: Taking taylor expansion of 1 in b
3.264 * [backup-simplify]: Simplify 1 into 1
3.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.264 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.265 * [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))))))
3.265 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.265 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.265 * [taylor]: Taking taylor expansion of (* b d) in c
3.265 * [taylor]: Taking taylor expansion of b in c
3.265 * [backup-simplify]: Simplify b into b
3.265 * [taylor]: Taking taylor expansion of d in c
3.265 * [backup-simplify]: Simplify d into d
3.265 * [backup-simplify]: Simplify (* b d) into (* b d)
3.265 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.265 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.265 * [taylor]: Taking taylor expansion of c in c
3.265 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify 1 into 1
3.265 * [backup-simplify]: Simplify (* 1 1) into 1
3.265 * [backup-simplify]: Simplify (/ 1 1) into 1
3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.265 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.265 * [taylor]: Taking taylor expansion of d in c
3.265 * [backup-simplify]: Simplify d into d
3.265 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.266 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.266 * [backup-simplify]: Simplify (+ 1 0) into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.266 * [backup-simplify]: Simplify (sqrt 1) into 1
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.267 * [backup-simplify]: Simplify (+ 0 0) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.269 * [taylor]: Taking taylor expansion of 0 in b
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [taylor]: Taking taylor expansion of 1 in d
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.270 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [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
3.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.272 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.273 * [backup-simplify]: Simplify (+ 0 0) into 0
3.273 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
3.273 * [taylor]: Taking taylor expansion of 0 in c
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [taylor]: Taking taylor expansion of 0 in b
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
3.273 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.273 * [taylor]: Taking taylor expansion of (* b d) in b
3.273 * [taylor]: Taking taylor expansion of b in b
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 1 into 1
3.273 * [taylor]: Taking taylor expansion of d in b
3.273 * [backup-simplify]: Simplify d into d
3.273 * [backup-simplify]: Simplify (* 0 d) into 0
3.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.274 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.274 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.274 * [taylor]: Taking taylor expansion of d in d
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [backup-simplify]: Simplify (/ 1 1) into 1
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.277 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
3.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
3.278 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
3.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
3.278 * [taylor]: Taking taylor expansion of 1/2 in b
3.278 * [backup-simplify]: Simplify 1/2 into 1/2
3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.278 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.278 * [taylor]: Taking taylor expansion of d in b
3.278 * [backup-simplify]: Simplify d into d
3.278 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.278 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.278 * [taylor]: Taking taylor expansion of 0 in d
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [taylor]: Taking taylor expansion of 0 in d
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.280 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [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
3.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.282 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.283 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [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
3.284 * [taylor]: Taking taylor expansion of 0 in c
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [taylor]: Taking taylor expansion of 0 in b
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [taylor]: Taking taylor expansion of 0 in b
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.285 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
3.285 * [taylor]: Taking taylor expansion of 0 in b
3.285 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 0) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
3.292 * [taylor]: Taking taylor expansion of 0 in b
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [taylor]: Taking taylor expansion of 0 in d
3.292 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.293 * [taylor]: Taking taylor expansion of 0 in d
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
3.293 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.294 * [backup-simplify]: Simplify (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
3.294 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0
3.294 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
3.294 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
3.294 * [taylor]: Taking taylor expansion of (* a c) in d
3.294 * [taylor]: Taking taylor expansion of a in d
3.294 * [backup-simplify]: Simplify a into a
3.294 * [taylor]: Taking taylor expansion of c in d
3.294 * [backup-simplify]: Simplify c into c
3.294 * [taylor]: Taking taylor expansion of (* b d) in d
3.294 * [taylor]: Taking taylor expansion of b in d
3.294 * [backup-simplify]: Simplify b into b
3.294 * [taylor]: Taking taylor expansion of d in d
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 1 into 1
3.294 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.294 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.294 * [taylor]: Taking taylor expansion of c in d
3.295 * [backup-simplify]: Simplify c into c
3.295 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.295 * [taylor]: Taking taylor expansion of d in d
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (* a c) into (* a c)
3.295 * [backup-simplify]: Simplify (* b 0) into 0
3.295 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
3.295 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.295 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.295 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
3.295 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
3.295 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
3.295 * [taylor]: Taking taylor expansion of (* a c) in b
3.295 * [taylor]: Taking taylor expansion of a in b
3.295 * [backup-simplify]: Simplify a into a
3.295 * [taylor]: Taking taylor expansion of c in b
3.295 * [backup-simplify]: Simplify c into c
3.295 * [taylor]: Taking taylor expansion of (* b d) in b
3.295 * [taylor]: Taking taylor expansion of b in b
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.296 * [taylor]: Taking taylor expansion of d in b
3.296 * [backup-simplify]: Simplify d into d
3.296 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
3.296 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.296 * [taylor]: Taking taylor expansion of c in b
3.296 * [backup-simplify]: Simplify c into c
3.296 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.296 * [taylor]: Taking taylor expansion of d in b
3.296 * [backup-simplify]: Simplify d into d
3.296 * [backup-simplify]: Simplify (* a c) into (* a c)
3.296 * [backup-simplify]: Simplify (* 0 d) into 0
3.296 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
3.296 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.296 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.296 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.297 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
3.297 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c
3.297 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
3.297 * [taylor]: Taking taylor expansion of (* a c) in c
3.297 * [taylor]: Taking taylor expansion of a in c
3.297 * [backup-simplify]: Simplify a into a
3.297 * [taylor]: Taking taylor expansion of c in c
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.297 * [taylor]: Taking taylor expansion of (* b d) in c
3.297 * [taylor]: Taking taylor expansion of b in c
3.297 * [backup-simplify]: Simplify b into b
3.297 * [taylor]: Taking taylor expansion of d in c
3.297 * [backup-simplify]: Simplify d into d
3.297 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.297 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.297 * [taylor]: Taking taylor expansion of c in c
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.297 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.297 * [taylor]: Taking taylor expansion of d in c
3.297 * [backup-simplify]: Simplify d into d
3.297 * [backup-simplify]: Simplify (* a 0) into 0
3.297 * [backup-simplify]: Simplify (* b d) into (* b d)
3.297 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.298 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.298 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.298 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
3.298 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
3.298 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.298 * [taylor]: Taking taylor expansion of (* a c) in a
3.298 * [taylor]: Taking taylor expansion of a in a
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 1 into 1
3.298 * [taylor]: Taking taylor expansion of c in a
3.298 * [backup-simplify]: Simplify c into c
3.298 * [taylor]: Taking taylor expansion of (* b d) in a
3.298 * [taylor]: Taking taylor expansion of b in a
3.298 * [backup-simplify]: Simplify b into b
3.298 * [taylor]: Taking taylor expansion of d in a
3.298 * [backup-simplify]: Simplify d into d
3.298 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.298 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.298 * [taylor]: Taking taylor expansion of c in a
3.298 * [backup-simplify]: Simplify c into c
3.298 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.298 * [taylor]: Taking taylor expansion of d in a
3.298 * [backup-simplify]: Simplify d into d
3.298 * [backup-simplify]: Simplify (* 0 c) into 0
3.298 * [backup-simplify]: Simplify (* b d) into (* b d)
3.299 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.299 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.299 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.299 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.299 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
3.299 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
3.299 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.299 * [taylor]: Taking taylor expansion of (* a c) in a
3.299 * [taylor]: Taking taylor expansion of a in a
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [taylor]: Taking taylor expansion of c in a
3.300 * [backup-simplify]: Simplify c into c
3.300 * [taylor]: Taking taylor expansion of (* b d) in a
3.300 * [taylor]: Taking taylor expansion of b in a
3.300 * [backup-simplify]: Simplify b into b
3.300 * [taylor]: Taking taylor expansion of d in a
3.300 * [backup-simplify]: Simplify d into d
3.300 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.300 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.300 * [taylor]: Taking taylor expansion of c in a
3.300 * [backup-simplify]: Simplify c into c
3.300 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.300 * [taylor]: Taking taylor expansion of d in a
3.300 * [backup-simplify]: Simplify d into d
3.300 * [backup-simplify]: Simplify (* 0 c) into 0
3.300 * [backup-simplify]: Simplify (* b d) into (* b d)
3.300 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.300 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.300 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.300 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.301 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
3.301 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c
3.301 * [taylor]: Taking taylor expansion of (* b d) in c
3.301 * [taylor]: Taking taylor expansion of b in c
3.301 * [backup-simplify]: Simplify b into b
3.301 * [taylor]: Taking taylor expansion of d in c
3.301 * [backup-simplify]: Simplify d into d
3.301 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.301 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.301 * [taylor]: Taking taylor expansion of c in c
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.301 * [taylor]: Taking taylor expansion of d in c
3.301 * [backup-simplify]: Simplify d into d
3.301 * [backup-simplify]: Simplify (* b d) into (* b d)
3.301 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.301 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.302 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
3.302 * [taylor]: Taking taylor expansion of (/ b d) in b
3.302 * [taylor]: Taking taylor expansion of b in b
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 1 into 1
3.302 * [taylor]: Taking taylor expansion of d in b
3.302 * [backup-simplify]: Simplify d into d
3.302 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.303 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.303 * [backup-simplify]: Simplify (+ c 0) into c
3.303 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.303 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [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)))
3.304 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c
3.304 * [taylor]: Taking taylor expansion of c in c
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 1 into 1
3.304 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.305 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.305 * [taylor]: Taking taylor expansion of c in c
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.305 * [taylor]: Taking taylor expansion of d in c
3.305 * [backup-simplify]: Simplify d into d
3.305 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.305 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.305 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.305 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.305 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.306 * [backup-simplify]: Simplify (+ 0 0) into 0
3.306 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0
3.306 * [taylor]: Taking taylor expansion of 0 in b
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [taylor]: Taking taylor expansion of 0 in d
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.306 * [taylor]: Taking taylor expansion of d in d
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.309 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.310 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.310 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [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
3.312 * [taylor]: Taking taylor expansion of 0 in c
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [taylor]: Taking taylor expansion of 0 in b
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [taylor]: Taking taylor expansion of 0 in d
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.312 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.312 * [taylor]: Taking taylor expansion of d in b
3.312 * [backup-simplify]: Simplify d into d
3.313 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.313 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.313 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.313 * [taylor]: Taking taylor expansion of d in d
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (* 1 1) into 1
3.314 * [backup-simplify]: Simplify (/ 1 1) into 1
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.318 * [backup-simplify]: Simplify (* 1 1) into 1
3.318 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.318 * [backup-simplify]: Simplify (+ 1 0) into 1
3.319 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3)))
3.319 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b
3.319 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b
3.319 * [taylor]: Taking taylor expansion of b in b
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 1 into 1
3.319 * [taylor]: Taking taylor expansion of (pow d 3) in b
3.319 * [taylor]: Taking taylor expansion of d in b
3.319 * [backup-simplify]: Simplify d into d
3.319 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.319 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3)
3.319 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
3.320 * [taylor]: Taking taylor expansion of 0 in d
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0
3.320 * [taylor]: Taking taylor expansion of 0 in d
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.320 * [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
3.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.320 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.320 * [taylor]: Taking taylor expansion of (* b d) in d
3.320 * [taylor]: Taking taylor expansion of b in d
3.320 * [backup-simplify]: Simplify b into b
3.320 * [taylor]: Taking taylor expansion of d in d
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.321 * [backup-simplify]: Simplify (* b 0) into 0
3.321 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.321 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.321 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.321 * [taylor]: Taking taylor expansion of (* a c) in d
3.321 * [taylor]: Taking taylor expansion of a in d
3.321 * [backup-simplify]: Simplify a into a
3.321 * [taylor]: Taking taylor expansion of c in d
3.321 * [backup-simplify]: Simplify c into c
3.321 * [backup-simplify]: Simplify (* a c) into (* a c)
3.321 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.321 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.321 * [taylor]: Taking taylor expansion of c in d
3.321 * [backup-simplify]: Simplify c into c
3.321 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.321 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.321 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.321 * [taylor]: Taking taylor expansion of d in d
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 1 into 1
3.322 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (/ 1 1) into 1
3.322 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
3.322 * [backup-simplify]: Simplify (+ 0 1) into 1
3.322 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
3.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.322 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.322 * [taylor]: Taking taylor expansion of (* b d) in b
3.322 * [taylor]: Taking taylor expansion of b in b
3.322 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify 1 into 1
3.322 * [taylor]: Taking taylor expansion of d in b
3.322 * [backup-simplify]: Simplify d into d
3.322 * [backup-simplify]: Simplify (* 0 d) into 0
3.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.323 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.323 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.323 * [taylor]: Taking taylor expansion of (* a c) in b
3.323 * [taylor]: Taking taylor expansion of a in b
3.323 * [backup-simplify]: Simplify a into a
3.323 * [taylor]: Taking taylor expansion of c in b
3.323 * [backup-simplify]: Simplify c into c
3.323 * [backup-simplify]: Simplify (* a c) into (* a c)
3.323 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.323 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.323 * [taylor]: Taking taylor expansion of c in b
3.323 * [backup-simplify]: Simplify c into c
3.323 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.323 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.323 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.323 * [taylor]: Taking taylor expansion of d in b
3.323 * [backup-simplify]: Simplify d into d
3.323 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.323 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.323 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
3.323 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.324 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
3.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.324 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.324 * [taylor]: Taking taylor expansion of (* b d) in c
3.324 * [taylor]: Taking taylor expansion of b in c
3.324 * [backup-simplify]: Simplify b into b
3.324 * [taylor]: Taking taylor expansion of d in c
3.324 * [backup-simplify]: Simplify d into d
3.324 * [backup-simplify]: Simplify (* b d) into (* b d)
3.324 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.324 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.324 * [taylor]: Taking taylor expansion of (* a c) in c
3.324 * [taylor]: Taking taylor expansion of a in c
3.324 * [backup-simplify]: Simplify a into a
3.324 * [taylor]: Taking taylor expansion of c in c
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* a 0) into 0
3.324 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.324 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.324 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.324 * [taylor]: Taking taylor expansion of c in c
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.325 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.325 * [taylor]: Taking taylor expansion of d in c
3.325 * [backup-simplify]: Simplify d into d
3.325 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.325 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.325 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
3.325 * [backup-simplify]: Simplify (+ 1 0) into 1
3.325 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
3.325 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.325 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.325 * [taylor]: Taking taylor expansion of (* b d) in a
3.325 * [taylor]: Taking taylor expansion of b in a
3.326 * [backup-simplify]: Simplify b into b
3.326 * [taylor]: Taking taylor expansion of d in a
3.326 * [backup-simplify]: Simplify d into d
3.326 * [backup-simplify]: Simplify (* b d) into (* b d)
3.326 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.326 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.326 * [taylor]: Taking taylor expansion of (* a c) in a
3.326 * [taylor]: Taking taylor expansion of a in a
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [taylor]: Taking taylor expansion of c in a
3.326 * [backup-simplify]: Simplify c into c
3.326 * [backup-simplify]: Simplify (* 0 c) into 0
3.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.326 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.326 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.326 * [taylor]: Taking taylor expansion of c in a
3.326 * [backup-simplify]: Simplify c into c
3.326 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.326 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.326 * [taylor]: Taking taylor expansion of d in a
3.326 * [backup-simplify]: Simplify d into d
3.326 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.326 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.327 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.327 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
3.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.327 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.327 * [taylor]: Taking taylor expansion of (* b d) in a
3.327 * [taylor]: Taking taylor expansion of b in a
3.327 * [backup-simplify]: Simplify b into b
3.327 * [taylor]: Taking taylor expansion of d in a
3.327 * [backup-simplify]: Simplify d into d
3.327 * [backup-simplify]: Simplify (* b d) into (* b d)
3.327 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.327 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.327 * [taylor]: Taking taylor expansion of (* a c) in a
3.327 * [taylor]: Taking taylor expansion of a in a
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify 1 into 1
3.327 * [taylor]: Taking taylor expansion of c in a
3.327 * [backup-simplify]: Simplify c into c
3.327 * [backup-simplify]: Simplify (* 0 c) into 0
3.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.327 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.327 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.328 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.328 * [taylor]: Taking taylor expansion of c in a
3.328 * [backup-simplify]: Simplify c into c
3.328 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.328 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.328 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.328 * [taylor]: Taking taylor expansion of d in a
3.328 * [backup-simplify]: Simplify d into d
3.328 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.328 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.328 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.328 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.328 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
3.328 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
3.328 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
3.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.328 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.328 * [taylor]: Taking taylor expansion of c in c
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.329 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.329 * [taylor]: Taking taylor expansion of d in c
3.329 * [backup-simplify]: Simplify d into d
3.329 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.329 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.329 * [taylor]: Taking taylor expansion of c in c
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (+ 1 0) into 1
3.330 * [backup-simplify]: Simplify (* 1 0) into 0
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify (+ 0 0) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
3.331 * [backup-simplify]: Simplify (/ 1 1) into 1
3.331 * [taylor]: Taking taylor expansion of 1 in b
3.331 * [backup-simplify]: Simplify 1 into 1
3.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.332 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.332 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.332 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.333 * [backup-simplify]: Simplify (+ 0 0) into 0
3.333 * [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)))
3.333 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
3.333 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
3.333 * [taylor]: Taking taylor expansion of b in c
3.333 * [backup-simplify]: Simplify b into b
3.333 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
3.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.333 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.333 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.333 * [taylor]: Taking taylor expansion of c in c
3.333 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify 1 into 1
3.334 * [backup-simplify]: Simplify (* 1 1) into 1
3.334 * [backup-simplify]: Simplify (/ 1 1) into 1
3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.334 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.334 * [taylor]: Taking taylor expansion of d in c
3.334 * [backup-simplify]: Simplify d into d
3.334 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.334 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.334 * [taylor]: Taking taylor expansion of d in c
3.334 * [backup-simplify]: Simplify d into d
3.334 * [backup-simplify]: Simplify (+ 1 0) into 1
3.334 * [backup-simplify]: Simplify (* 1 d) into d
3.335 * [backup-simplify]: Simplify (* b d) into (* b d)
3.335 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.340 * [taylor]: Taking taylor expansion of 0 in b
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [taylor]: Taking taylor expansion of 1 in d
3.340 * [backup-simplify]: Simplify 1 into 1
3.340 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.342 * [backup-simplify]: Simplify (+ 0 0) into 0
3.342 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.343 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.343 * [backup-simplify]: Simplify (+ 0 0) into 0
3.344 * [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
3.344 * [taylor]: Taking taylor expansion of 0 in c
3.344 * [backup-simplify]: Simplify 0 into 0
3.344 * [taylor]: Taking taylor expansion of 0 in b
3.344 * [backup-simplify]: Simplify 0 into 0
3.344 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.344 * [taylor]: Taking taylor expansion of (* b d) in b
3.344 * [taylor]: Taking taylor expansion of b in b
3.344 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify 1 into 1
3.344 * [taylor]: Taking taylor expansion of d in b
3.344 * [backup-simplify]: Simplify d into d
3.344 * [backup-simplify]: Simplify (* 0 d) into 0
3.344 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.344 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.345 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.345 * [taylor]: Taking taylor expansion of d in d
3.345 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify 1 into 1
3.345 * [backup-simplify]: Simplify (/ 1 1) into 1
3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.347 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.350 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.350 * [taylor]: Taking taylor expansion of d in b
3.350 * [backup-simplify]: Simplify d into d
3.350 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.350 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.350 * [taylor]: Taking taylor expansion of 0 in d
3.350 * [backup-simplify]: Simplify 0 into 0
3.350 * [backup-simplify]: Simplify 0 into 0
3.351 * [taylor]: Taking taylor expansion of 0 in d
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.354 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.356 * [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
3.356 * [taylor]: Taking taylor expansion of 0 in c
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [taylor]: Taking taylor expansion of 0 in b
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [taylor]: Taking taylor expansion of 0 in b
3.356 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
3.358 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.358 * [taylor]: Taking taylor expansion of 0 in b
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.359 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.361 * [taylor]: Taking taylor expansion of 0 in b
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [taylor]: Taking taylor expansion of 0 in d
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.362 * [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
3.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.362 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.362 * [taylor]: Taking taylor expansion of (* b d) in d
3.362 * [taylor]: Taking taylor expansion of b in d
3.362 * [backup-simplify]: Simplify b into b
3.362 * [taylor]: Taking taylor expansion of d in d
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 1 into 1
3.362 * [backup-simplify]: Simplify (* b 0) into 0
3.363 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.363 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.363 * [taylor]: Taking taylor expansion of (* a c) in d
3.363 * [taylor]: Taking taylor expansion of a in d
3.363 * [backup-simplify]: Simplify a into a
3.363 * [taylor]: Taking taylor expansion of c in d
3.363 * [backup-simplify]: Simplify c into c
3.363 * [backup-simplify]: Simplify (* a c) into (* a c)
3.363 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.363 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.363 * [taylor]: Taking taylor expansion of c in d
3.363 * [backup-simplify]: Simplify c into c
3.363 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.363 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.363 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.363 * [taylor]: Taking taylor expansion of d in d
3.363 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify 1 into 1
3.363 * [backup-simplify]: Simplify (* 1 1) into 1
3.364 * [backup-simplify]: Simplify (/ 1 1) into 1
3.364 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
3.364 * [backup-simplify]: Simplify (+ 0 1) into 1
3.364 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
3.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.364 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.364 * [taylor]: Taking taylor expansion of (* b d) in b
3.364 * [taylor]: Taking taylor expansion of b in b
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 1 into 1
3.364 * [taylor]: Taking taylor expansion of d in b
3.364 * [backup-simplify]: Simplify d into d
3.364 * [backup-simplify]: Simplify (* 0 d) into 0
3.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.364 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.364 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.364 * [taylor]: Taking taylor expansion of (* a c) in b
3.364 * [taylor]: Taking taylor expansion of a in b
3.364 * [backup-simplify]: Simplify a into a
3.364 * [taylor]: Taking taylor expansion of c in b
3.364 * [backup-simplify]: Simplify c into c
3.365 * [backup-simplify]: Simplify (* a c) into (* a c)
3.365 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.365 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.365 * [taylor]: Taking taylor expansion of c in b
3.365 * [backup-simplify]: Simplify c into c
3.365 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.365 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.365 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.365 * [taylor]: Taking taylor expansion of d in b
3.365 * [backup-simplify]: Simplify d into d
3.365 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.365 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.365 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
3.365 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.365 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
3.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.365 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.365 * [taylor]: Taking taylor expansion of (* b d) in c
3.365 * [taylor]: Taking taylor expansion of b in c
3.365 * [backup-simplify]: Simplify b into b
3.365 * [taylor]: Taking taylor expansion of d in c
3.365 * [backup-simplify]: Simplify d into d
3.366 * [backup-simplify]: Simplify (* b d) into (* b d)
3.366 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.366 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.366 * [taylor]: Taking taylor expansion of (* a c) in c
3.366 * [taylor]: Taking taylor expansion of a in c
3.366 * [backup-simplify]: Simplify a into a
3.366 * [taylor]: Taking taylor expansion of c in c
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* a 0) into 0
3.366 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.366 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.366 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.366 * [taylor]: Taking taylor expansion of c in c
3.366 * [backup-simplify]: Simplify 0 into 0
3.366 * [backup-simplify]: Simplify 1 into 1
3.366 * [backup-simplify]: Simplify (* 1 1) into 1
3.367 * [backup-simplify]: Simplify (/ 1 1) into 1
3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.367 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.367 * [taylor]: Taking taylor expansion of d in c
3.367 * [backup-simplify]: Simplify d into d
3.367 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.367 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.367 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
3.367 * [backup-simplify]: Simplify (+ 1 0) into 1
3.367 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
3.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.367 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.367 * [taylor]: Taking taylor expansion of (* b d) in a
3.367 * [taylor]: Taking taylor expansion of b in a
3.367 * [backup-simplify]: Simplify b into b
3.367 * [taylor]: Taking taylor expansion of d in a
3.367 * [backup-simplify]: Simplify d into d
3.367 * [backup-simplify]: Simplify (* b d) into (* b d)
3.367 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.367 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.367 * [taylor]: Taking taylor expansion of (* a c) in a
3.367 * [taylor]: Taking taylor expansion of a in a
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.367 * [taylor]: Taking taylor expansion of c in a
3.367 * [backup-simplify]: Simplify c into c
3.367 * [backup-simplify]: Simplify (* 0 c) into 0
3.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.368 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.368 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.368 * [taylor]: Taking taylor expansion of c in a
3.368 * [backup-simplify]: Simplify c into c
3.368 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.368 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.368 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.368 * [taylor]: Taking taylor expansion of d in a
3.368 * [backup-simplify]: Simplify d into d
3.368 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.368 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.368 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.368 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.369 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
3.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.369 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.369 * [taylor]: Taking taylor expansion of (* b d) in a
3.369 * [taylor]: Taking taylor expansion of b in a
3.369 * [backup-simplify]: Simplify b into b
3.369 * [taylor]: Taking taylor expansion of d in a
3.369 * [backup-simplify]: Simplify d into d
3.369 * [backup-simplify]: Simplify (* b d) into (* b d)
3.369 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.369 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.369 * [taylor]: Taking taylor expansion of (* a c) in a
3.369 * [taylor]: Taking taylor expansion of a in a
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [taylor]: Taking taylor expansion of c in a
3.369 * [backup-simplify]: Simplify c into c
3.369 * [backup-simplify]: Simplify (* 0 c) into 0
3.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.369 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.369 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.369 * [taylor]: Taking taylor expansion of c in a
3.369 * [backup-simplify]: Simplify c into c
3.369 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.369 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.369 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.369 * [taylor]: Taking taylor expansion of d in a
3.369 * [backup-simplify]: Simplify d into d
3.369 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.370 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.370 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.370 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.370 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
3.370 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
3.370 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
3.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.370 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.370 * [taylor]: Taking taylor expansion of c in c
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.371 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.371 * [taylor]: Taking taylor expansion of d in c
3.371 * [backup-simplify]: Simplify d into d
3.371 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.371 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.371 * [taylor]: Taking taylor expansion of c in c
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (+ 1 0) into 1
3.371 * [backup-simplify]: Simplify (* 1 0) into 0
3.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ 0 0) into 0
3.373 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
3.373 * [backup-simplify]: Simplify (/ 1 1) into 1
3.373 * [taylor]: Taking taylor expansion of 1 in b
3.373 * [backup-simplify]: Simplify 1 into 1
3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.374 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.374 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.374 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [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)))
3.375 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
3.375 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
3.375 * [taylor]: Taking taylor expansion of b in c
3.375 * [backup-simplify]: Simplify b into b
3.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.375 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.375 * [taylor]: Taking taylor expansion of c in c
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [backup-simplify]: Simplify (* 1 1) into 1
3.376 * [backup-simplify]: Simplify (/ 1 1) into 1
3.376 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.376 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.376 * [taylor]: Taking taylor expansion of d in c
3.376 * [backup-simplify]: Simplify d into d
3.376 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.376 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.376 * [taylor]: Taking taylor expansion of d in c
3.376 * [backup-simplify]: Simplify d into d
3.376 * [backup-simplify]: Simplify (+ 1 0) into 1
3.376 * [backup-simplify]: Simplify (* 1 d) into d
3.376 * [backup-simplify]: Simplify (* b d) into (* b d)
3.376 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.379 * [taylor]: Taking taylor expansion of 0 in b
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [taylor]: Taking taylor expansion of 1 in d
3.379 * [backup-simplify]: Simplify 1 into 1
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.381 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.381 * [backup-simplify]: Simplify (+ 0 0) into 0
3.382 * [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
3.382 * [taylor]: Taking taylor expansion of 0 in c
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [taylor]: Taking taylor expansion of 0 in b
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.382 * [taylor]: Taking taylor expansion of (* b d) in b
3.382 * [taylor]: Taking taylor expansion of b in b
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [taylor]: Taking taylor expansion of d in b
3.382 * [backup-simplify]: Simplify d into d
3.382 * [backup-simplify]: Simplify (* 0 d) into 0
3.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.383 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.383 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.383 * [taylor]: Taking taylor expansion of d in d
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.383 * [backup-simplify]: Simplify (/ 1 1) into 1
3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.384 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.387 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.387 * [taylor]: Taking taylor expansion of d in b
3.387 * [backup-simplify]: Simplify d into d
3.387 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.387 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.387 * [taylor]: Taking taylor expansion of 0 in d
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [taylor]: Taking taylor expansion of 0 in d
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.389 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.390 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.391 * [backup-simplify]: Simplify (+ 0 0) into 0
3.392 * [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
3.392 * [taylor]: Taking taylor expansion of 0 in c
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [taylor]: Taking taylor expansion of 0 in b
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [taylor]: Taking taylor expansion of 0 in b
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.393 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
3.393 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.393 * [taylor]: Taking taylor expansion of 0 in b
3.393 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.395 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.397 * [taylor]: Taking taylor expansion of 0 in b
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [taylor]: Taking taylor expansion of 0 in d
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * * * [progress]: simplifying candidates
3.402 * [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)))
  (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))
  (- (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))
  (log (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d 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 (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
  (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (* (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (- (/ (+ (* a c) (* b 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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (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)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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)))))) (sqrt 1))
  (/ (cbrt (/ (+ (* a c) (* b 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)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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)))))) 1)
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1)
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* 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)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))))) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d 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)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))))) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d 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)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* 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)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (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)))))) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (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)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (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)))))) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1)
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (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)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1)
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1)
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt 1)) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt 1)) 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 1) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 1) 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 1)
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ 1 (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))))))
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt 1))
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) 1)
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1))
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1)
  (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1)
  (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt 1))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1)
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
  (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  b
  a
  (* -1 a)
  0
  0
  0
3.410 * * [simplify]: iteration 0: 302 enodes
3.498 * * [simplify]: iteration 1: 755 enodes
3.772 * * [simplify]: iteration 2: 3738 enodes
4.517 * * [simplify]: iteration complete: 5000 enodes
4.517 * * [simplify]: Extracting #0: cost 181 inf + 0
4.524 * * [simplify]: Extracting #1: cost 1575 inf + 9
4.532 * * [simplify]: Extracting #2: cost 1958 inf + 35
4.538 * * [simplify]: Extracting #3: cost 1910 inf + 1939
4.544 * * [simplify]: Extracting #4: cost 1094 inf + 16289
4.551 * * [simplify]: Extracting #5: cost 96 inf + 40299
4.557 * * [simplify]: Extracting #6: cost 3 inf + 42598
4.569 * * [simplify]: Extracting #7: cost 0 inf + 42571
4.582 * [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))))
  (pow (sqrt (+ (* c c) (* d d))) 3)
  (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 (+ (pow c 6) (pow d 6)))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1))))
  (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))
  (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))))
  (pow (sqrt (+ (* c c) (* d d))) 3)
  (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 (+ (pow c 6) (pow d 6)))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1))))
  (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))
  (sqrt (- (* c c) (* d 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)))))
  (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 3)
  (* (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)))))
  (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 3)
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (- (* (- c) a) (* 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))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* 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 (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))) (/ (sqrt (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))) (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 (+ (pow c 6) (pow d 6))))
  (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1)))))
  (* (+ (* b (* d (- (* b d) (* a c)))) (* (* (* a c) c) a)) (sqrt (+ (* c c) (* d d))))
  (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
  (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
  (* (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))))
  (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
  (/ (- (* (- c) a) (* b d)) (sqrt (+ (* c c) (* d d))))
  (- (sqrt (+ (* c c) (* d d))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))
  (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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))))) (sqrt (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))))) (sqrt (+ (* c c) (* d d))))
  (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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))))) (sqrt (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))))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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))))) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (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))))) (sqrt (+ (* c c) (* d d))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (pow (cbrt (sqrt (+ (* c c) (* d d)))) 3)) (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 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (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))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (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))) (* (sqrt (+ (* c c) (* d d))) (cbrt (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))))) (fabs (cbrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* a c) (* b 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)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (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))) (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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (* (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))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ (* (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)))) (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* 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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (+ (* 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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (cbrt (+ (* a c) (* b d))) (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (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))) (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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (* (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))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ (* (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)))) (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* a c) (* b d))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* 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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (+ (* 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))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (pow (cbrt (sqrt (+ (* c c) (* d d)))) 3)))
  (/ (/ (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))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (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))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (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))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* 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 (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (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 (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (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 (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (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))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (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))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d 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 (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (sqrt (+ (* a c) (* b d))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (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))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (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))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d 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 (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (sqrt (+ (* a c) (* b d)))
  (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
  (/ (/ 1 (pow (cbrt (sqrt (+ (* c c) (* d d)))) 3)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* 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 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* 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)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  1
  (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
  (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (+ (* a c) (* b d))
  (/ 1 (+ (* c c) (* d d)))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (+ (* a c) (* b d))
  (/ 1 (+ (* c c) (* d d)))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow c 6) (pow d 6)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow c 6) (pow d 6)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (pow c 6) (pow d 6))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (pow c 6) (pow d 6))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (pow c 6) (pow d 6))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (pow c 6) (pow d 6))))
  (/ (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1)))))
  (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1)))))
  (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
  (* (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (* (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d))))
  (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d))))
  (/ (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
  (* (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (* (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))
  (* (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))
  (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (* (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
  (+ (* c c) (* d d))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow c 6) (pow d 6))))
  (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1)))))
  (+ (* c c) (* d d))
  d
  c
  (- c)
  d
  c
  (- c)
  b
  a
  (- a)
  0
  0
  0
4.585 * * * [progress]: adding candidates to table
5.765 * * [progress]: iteration 3 / 4
5.765 * * * [progress]: picking best candidate
5.823 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
5.823 * * * [progress]: localizing error
5.849 * * * [progress]: generating rewritten candidates
5.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.855 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
5.861 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
5.887 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
5.919 * * * [progress]: generating series expansions
5.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.919 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
5.919 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
5.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
5.919 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
5.919 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.919 * [taylor]: Taking taylor expansion of c in d
5.919 * [backup-simplify]: Simplify c into c
5.919 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.919 * [taylor]: Taking taylor expansion of d in d
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 1 into 1
5.919 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.919 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
5.919 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
5.919 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.920 * [backup-simplify]: Simplify (+ 0 0) into 0
5.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
5.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.920 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.920 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.920 * [taylor]: Taking taylor expansion of c in c
5.920 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify 1 into 1
5.920 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.920 * [taylor]: Taking taylor expansion of d in c
5.920 * [backup-simplify]: Simplify d into d
5.920 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.920 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.920 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.920 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.921 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.921 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.921 * [taylor]: Taking taylor expansion of c in c
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.921 * [taylor]: Taking taylor expansion of d in c
5.921 * [backup-simplify]: Simplify d into d
5.921 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.921 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.921 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.921 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.921 * [backup-simplify]: Simplify (+ 0 0) into 0
5.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
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
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [taylor]: Taking taylor expansion of 0 in d
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 1 into 1
5.922 * [backup-simplify]: Simplify (* 1 1) into 1
5.922 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.923 * [backup-simplify]: Simplify (+ 1 0) into 1
5.923 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
5.923 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
5.923 * [taylor]: Taking taylor expansion of 1/2 in d
5.923 * [backup-simplify]: Simplify 1/2 into 1/2
5.923 * [taylor]: Taking taylor expansion of d in d
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 1 into 1
5.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.925 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
5.925 * [backup-simplify]: Simplify (+ 0 0) into 0
5.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
5.925 * [taylor]: Taking taylor expansion of 0 in d
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
5.926 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.926 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.926 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.926 * [taylor]: Taking taylor expansion of c in d
5.926 * [backup-simplify]: Simplify c into c
5.926 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.926 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.926 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.926 * [taylor]: Taking taylor expansion of d in d
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.927 * [backup-simplify]: Simplify (* 1 1) into 1
5.927 * [backup-simplify]: Simplify (/ 1 1) into 1
5.927 * [backup-simplify]: Simplify (+ 0 1) into 1
5.927 * [backup-simplify]: Simplify (sqrt 1) into 1
5.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.929 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.929 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.929 * [taylor]: Taking taylor expansion of c in c
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (* 1 1) into 1
5.930 * [backup-simplify]: Simplify (/ 1 1) into 1
5.930 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.930 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.930 * [taylor]: Taking taylor expansion of d in c
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 * [backup-simplify]: Simplify (+ 1 0) into 1
5.930 * [backup-simplify]: Simplify (sqrt 1) into 1
5.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.931 * [backup-simplify]: Simplify (+ 0 0) into 0
5.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.932 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.932 * [taylor]: Taking taylor expansion of c in c
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (* 1 1) into 1
5.932 * [backup-simplify]: Simplify (/ 1 1) into 1
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.932 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.932 * [taylor]: Taking taylor expansion of d in c
5.932 * [backup-simplify]: Simplify d into d
5.933 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.933 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.933 * [backup-simplify]: Simplify (+ 1 0) into 1
5.933 * [backup-simplify]: Simplify (sqrt 1) into 1
5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (+ 0 0) into 0
5.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.935 * [taylor]: Taking taylor expansion of 1 in d
5.935 * [backup-simplify]: Simplify 1 into 1
5.935 * [taylor]: Taking taylor expansion of 0 in d
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 1 into 1
5.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.936 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.937 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.937 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.937 * [taylor]: Taking taylor expansion of 1/2 in d
5.937 * [backup-simplify]: Simplify 1/2 into 1/2
5.937 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.937 * [taylor]: Taking taylor expansion of d in d
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 1 into 1
5.937 * [backup-simplify]: Simplify (* 1 1) into 1
5.937 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.940 * [backup-simplify]: Simplify (+ 0 0) into 0
5.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.940 * [taylor]: Taking taylor expansion of 0 in d
5.940 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.942 * [backup-simplify]: Simplify 0 into 0
5.942 * [backup-simplify]: Simplify 0 into 0
5.942 * [backup-simplify]: Simplify 0 into 0
5.943 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
5.943 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.943 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.943 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.943 * [taylor]: Taking taylor expansion of c in d
5.943 * [backup-simplify]: Simplify c into c
5.943 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.943 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.943 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.943 * [taylor]: Taking taylor expansion of d in d
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 1 into 1
5.944 * [backup-simplify]: Simplify (* 1 1) into 1
5.944 * [backup-simplify]: Simplify (/ 1 1) into 1
5.944 * [backup-simplify]: Simplify (+ 0 1) into 1
5.945 * [backup-simplify]: Simplify (sqrt 1) into 1
5.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (+ 0 0) into 0
5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.946 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.946 * [taylor]: Taking taylor expansion of c in c
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (* 1 1) into 1
5.947 * [backup-simplify]: Simplify (/ 1 1) into 1
5.947 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.947 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.947 * [taylor]: Taking taylor expansion of d in c
5.947 * [backup-simplify]: Simplify d into d
5.947 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.947 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.947 * [backup-simplify]: Simplify (+ 1 0) into 1
5.947 * [backup-simplify]: Simplify (sqrt 1) into 1
5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.948 * [backup-simplify]: Simplify (+ 0 0) into 0
5.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.949 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.949 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.949 * [taylor]: Taking taylor expansion of c in c
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify 1 into 1
5.949 * [backup-simplify]: Simplify (* 1 1) into 1
5.949 * [backup-simplify]: Simplify (/ 1 1) into 1
5.949 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.949 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.949 * [taylor]: Taking taylor expansion of d in c
5.950 * [backup-simplify]: Simplify d into d
5.950 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.950 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.950 * [backup-simplify]: Simplify (+ 1 0) into 1
5.950 * [backup-simplify]: Simplify (sqrt 1) into 1
5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.952 * [taylor]: Taking taylor expansion of 1 in d
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [taylor]: Taking taylor expansion of 0 in d
5.952 * [backup-simplify]: Simplify 0 into 0
5.952 * [backup-simplify]: Simplify 1 into 1
5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.954 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.954 * [taylor]: Taking taylor expansion of 1/2 in d
5.954 * [backup-simplify]: Simplify 1/2 into 1/2
5.954 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.954 * [taylor]: Taking taylor expansion of d in d
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 1 into 1
5.954 * [backup-simplify]: Simplify (* 1 1) into 1
5.954 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.957 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.958 * [taylor]: Taking taylor expansion of 0 in d
5.958 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
5.959 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
5.959 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
5.959 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
5.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
5.959 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
5.959 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.959 * [taylor]: Taking taylor expansion of c in d
5.959 * [backup-simplify]: Simplify c into c
5.959 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.959 * [taylor]: Taking taylor expansion of d in d
5.959 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.960 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
5.960 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
5.960 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
5.960 * [backup-simplify]: Simplify (+ 0 0) into 0
5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
5.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.960 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.960 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.960 * [taylor]: Taking taylor expansion of c in c
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.960 * [taylor]: Taking taylor expansion of d in c
5.960 * [backup-simplify]: Simplify d into d
5.960 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.960 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.961 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.961 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.961 * [backup-simplify]: Simplify (+ 0 0) into 0
5.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
5.961 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
5.961 * [taylor]: Taking taylor expansion of (pow c 2) in c
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 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.961 * [taylor]: Taking taylor expansion of d in c
5.961 * [backup-simplify]: Simplify d into d
5.961 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.961 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
5.961 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
5.961 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.962 * [backup-simplify]: Simplify (+ 0 0) into 0
5.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
5.962 * [taylor]: Taking taylor expansion of d in d
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify 0 into 0
5.962 * [taylor]: Taking taylor expansion of 0 in d
5.962 * [backup-simplify]: Simplify 0 into 0
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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
5.963 * [backup-simplify]: Simplify (+ 1 0) into 1
5.963 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
5.963 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
5.963 * [taylor]: Taking taylor expansion of 1/2 in d
5.963 * [backup-simplify]: Simplify 1/2 into 1/2
5.963 * [taylor]: Taking taylor expansion of d in d
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 1 into 1
5.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 0 into 0
5.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.965 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
5.966 * [backup-simplify]: Simplify (+ 0 0) into 0
5.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
5.966 * [taylor]: Taking taylor expansion of 0 in d
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
5.967 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.967 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.967 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.967 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.967 * [taylor]: Taking taylor expansion of c in d
5.967 * [backup-simplify]: Simplify c into c
5.967 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.967 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.967 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.967 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.967 * [taylor]: Taking taylor expansion of d in d
5.967 * [backup-simplify]: Simplify 0 into 0
5.967 * [backup-simplify]: Simplify 1 into 1
5.967 * [backup-simplify]: Simplify (* 1 1) into 1
5.967 * [backup-simplify]: Simplify (/ 1 1) into 1
5.968 * [backup-simplify]: Simplify (+ 0 1) into 1
5.968 * [backup-simplify]: Simplify (sqrt 1) into 1
5.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.969 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.969 * [taylor]: Taking taylor expansion of c in c
5.969 * [backup-simplify]: Simplify 0 into 0
5.969 * [backup-simplify]: Simplify 1 into 1
5.970 * [backup-simplify]: Simplify (* 1 1) into 1
5.970 * [backup-simplify]: Simplify (/ 1 1) into 1
5.970 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.970 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.970 * [taylor]: Taking taylor expansion of d in c
5.970 * [backup-simplify]: Simplify d into d
5.970 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.970 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.970 * [backup-simplify]: Simplify (+ 1 0) into 1
5.971 * [backup-simplify]: Simplify (sqrt 1) into 1
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.972 * [backup-simplify]: Simplify (+ 0 0) into 0
5.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.972 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.972 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.972 * [taylor]: Taking taylor expansion of c in c
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify 1 into 1
5.972 * [backup-simplify]: Simplify (* 1 1) into 1
5.973 * [backup-simplify]: Simplify (/ 1 1) into 1
5.973 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.973 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.973 * [taylor]: Taking taylor expansion of d in c
5.973 * [backup-simplify]: Simplify d into d
5.973 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.973 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.973 * [backup-simplify]: Simplify (+ 1 0) into 1
5.973 * [backup-simplify]: Simplify (sqrt 1) into 1
5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.975 * [taylor]: Taking taylor expansion of 1 in d
5.975 * [backup-simplify]: Simplify 1 into 1
5.975 * [taylor]: Taking taylor expansion of 0 in d
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify 1 into 1
5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
5.978 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
5.978 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
5.978 * [taylor]: Taking taylor expansion of 1/2 in d
5.978 * [backup-simplify]: Simplify 1/2 into 1/2
5.978 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.978 * [taylor]: Taking taylor expansion of d in d
5.978 * [backup-simplify]: Simplify 0 into 0
5.978 * [backup-simplify]: Simplify 1 into 1
5.978 * [backup-simplify]: Simplify (* 1 1) into 1
5.979 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.980 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
5.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
5.984 * [taylor]: Taking taylor expansion of 0 in d
5.984 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
5.987 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
5.987 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
5.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
5.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
5.987 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
5.987 * [taylor]: Taking taylor expansion of (pow c 2) in d
5.987 * [taylor]: Taking taylor expansion of c in d
5.987 * [backup-simplify]: Simplify c into c
5.987 * [backup-simplify]: Simplify (* c c) into (pow c 2)
5.987 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
5.987 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
5.987 * [taylor]: Taking taylor expansion of (pow d 2) in d
5.987 * [taylor]: Taking taylor expansion of d in d
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.988 * [backup-simplify]: Simplify (* 1 1) into 1
5.988 * [backup-simplify]: Simplify (/ 1 1) into 1
5.988 * [backup-simplify]: Simplify (+ 0 1) into 1
5.989 * [backup-simplify]: Simplify (sqrt 1) into 1
5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.991 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.991 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.991 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.991 * [taylor]: Taking taylor expansion of c in c
5.991 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (* 1 1) into 1
5.992 * [backup-simplify]: Simplify (/ 1 1) into 1
5.992 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.992 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.992 * [taylor]: Taking taylor expansion of d in c
5.992 * [backup-simplify]: Simplify d into d
5.993 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.993 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.993 * [backup-simplify]: Simplify (+ 1 0) into 1
5.994 * [backup-simplify]: Simplify (sqrt 1) into 1
5.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (+ 0 0) into 0
5.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
5.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
5.996 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
5.996 * [taylor]: Taking taylor expansion of (pow c 2) in c
5.996 * [taylor]: Taking taylor expansion of c in c
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (* 1 1) into 1
5.997 * [backup-simplify]: Simplify (/ 1 1) into 1
5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
5.997 * [taylor]: Taking taylor expansion of (pow d 2) in c
5.997 * [taylor]: Taking taylor expansion of d in c
5.997 * [backup-simplify]: Simplify d into d
5.997 * [backup-simplify]: Simplify (* d d) into (pow d 2)
5.997 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
5.998 * [backup-simplify]: Simplify (+ 1 0) into 1
5.998 * [backup-simplify]: Simplify (sqrt 1) into 1
5.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 0) into 0
6.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.001 * [taylor]: Taking taylor expansion of 1 in d
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [taylor]: Taking taylor expansion of 0 in d
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.003 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.005 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
6.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
6.005 * [taylor]: Taking taylor expansion of 1/2 in d
6.005 * [backup-simplify]: Simplify 1/2 into 1/2
6.005 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.005 * [taylor]: Taking taylor expansion of d in d
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [backup-simplify]: Simplify (* 1 1) into 1
6.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.015 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.016 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
6.017 * [taylor]: Taking taylor expansion of 0 in d
6.017 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
6.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
6.019 * [backup-simplify]: Simplify (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) into (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2))))
6.019 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in (c d a b) around 0
6.019 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in b
6.019 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in b
6.019 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
6.019 * [taylor]: Taking taylor expansion of (* a c) in b
6.019 * [taylor]: Taking taylor expansion of a in b
6.019 * [backup-simplify]: Simplify a into a
6.020 * [taylor]: Taking taylor expansion of c in b
6.020 * [backup-simplify]: Simplify c into c
6.020 * [taylor]: Taking taylor expansion of (* b d) in b
6.020 * [taylor]: Taking taylor expansion of b in b
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [taylor]: Taking taylor expansion of d in b
6.020 * [backup-simplify]: Simplify d into d
6.020 * [backup-simplify]: Simplify (* a c) into (* a c)
6.020 * [backup-simplify]: Simplify (* 0 d) into 0
6.020 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
6.020 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in b
6.020 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
6.020 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.020 * [taylor]: Taking taylor expansion of c in b
6.020 * [backup-simplify]: Simplify c into c
6.020 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.020 * [taylor]: Taking taylor expansion of d in b
6.020 * [backup-simplify]: Simplify d into d
6.020 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.020 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.021 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
6.021 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
6.021 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.021 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
6.022 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in a
6.022 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in a
6.022 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
6.022 * [taylor]: Taking taylor expansion of (* a c) in a
6.022 * [taylor]: Taking taylor expansion of a in a
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify 1 into 1
6.022 * [taylor]: Taking taylor expansion of c in a
6.022 * [backup-simplify]: Simplify c into c
6.022 * [taylor]: Taking taylor expansion of (* b d) in a
6.022 * [taylor]: Taking taylor expansion of b in a
6.022 * [backup-simplify]: Simplify b into b
6.022 * [taylor]: Taking taylor expansion of d in a
6.022 * [backup-simplify]: Simplify d into d
6.022 * [backup-simplify]: Simplify (* 0 c) into 0
6.022 * [backup-simplify]: Simplify (* b d) into (* b d)
6.022 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
6.022 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in a
6.023 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
6.023 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.023 * [taylor]: Taking taylor expansion of c in a
6.023 * [backup-simplify]: Simplify c into c
6.023 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.023 * [taylor]: Taking taylor expansion of d in a
6.023 * [backup-simplify]: Simplify d into d
6.023 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.023 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.023 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
6.023 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
6.023 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.023 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
6.024 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in d
6.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in d
6.024 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
6.024 * [taylor]: Taking taylor expansion of (* a c) in d
6.024 * [taylor]: Taking taylor expansion of a in d
6.024 * [backup-simplify]: Simplify a into a
6.024 * [taylor]: Taking taylor expansion of c in d
6.024 * [backup-simplify]: Simplify c into c
6.024 * [taylor]: Taking taylor expansion of (* b d) in d
6.024 * [taylor]: Taking taylor expansion of b in d
6.024 * [backup-simplify]: Simplify b into b
6.024 * [taylor]: Taking taylor expansion of d in d
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (* a c) into (* a c)
6.025 * [backup-simplify]: Simplify (* b 0) into 0
6.025 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
6.025 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
6.025 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
6.025 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.025 * [taylor]: Taking taylor expansion of c in d
6.025 * [backup-simplify]: Simplify c into c
6.025 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.025 * [taylor]: Taking taylor expansion of d in d
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.025 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
6.025 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
6.025 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.026 * [backup-simplify]: Simplify (+ 0 0) into 0
6.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
6.026 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c
6.026 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c
6.026 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
6.026 * [taylor]: Taking taylor expansion of (* a c) in c
6.026 * [taylor]: Taking taylor expansion of a in c
6.026 * [backup-simplify]: Simplify a into a
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 (* b d) in c
6.026 * [taylor]: Taking taylor expansion of b in c
6.026 * [backup-simplify]: Simplify b into b
6.026 * [taylor]: Taking taylor expansion of d in c
6.026 * [backup-simplify]: Simplify d into d
6.026 * [backup-simplify]: Simplify (* a 0) into 0
6.026 * [backup-simplify]: Simplify (* b d) into (* b d)
6.027 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
6.027 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
6.027 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
6.027 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.027 * [taylor]: Taking taylor expansion of c in c
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.027 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.027 * [taylor]: Taking taylor expansion of d in c
6.027 * [backup-simplify]: Simplify d into d
6.027 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.027 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
6.027 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
6.027 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
6.028 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c
6.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c
6.028 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
6.028 * [taylor]: Taking taylor expansion of (* a c) in c
6.028 * [taylor]: Taking taylor expansion of a in c
6.028 * [backup-simplify]: Simplify a into a
6.028 * [taylor]: Taking taylor expansion of c in c
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 1 into 1
6.028 * [taylor]: Taking taylor expansion of (* b d) in c
6.028 * [taylor]: Taking taylor expansion of b in c
6.028 * [backup-simplify]: Simplify b into b
6.028 * [taylor]: Taking taylor expansion of d in c
6.028 * [backup-simplify]: Simplify d into d
6.028 * [backup-simplify]: Simplify (* a 0) into 0
6.028 * [backup-simplify]: Simplify (* b d) into (* b d)
6.028 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
6.029 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
6.029 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
6.029 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.029 * [taylor]: Taking taylor expansion of c in c
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.029 * [taylor]: Taking taylor expansion of d in c
6.029 * [backup-simplify]: Simplify d into d
6.029 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.029 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
6.030 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
6.030 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.030 * [backup-simplify]: Simplify (+ 0 0) into 0
6.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
6.031 * [backup-simplify]: Simplify (* (/ 1 (* b d)) d) into (/ 1 b)
6.031 * [taylor]: Taking taylor expansion of (/ 1 b) in d
6.031 * [taylor]: Taking taylor expansion of b in d
6.031 * [backup-simplify]: Simplify b into b
6.031 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.031 * [taylor]: Taking taylor expansion of (/ 1 b) in a
6.031 * [taylor]: Taking taylor expansion of b in a
6.031 * [backup-simplify]: Simplify b into b
6.031 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.031 * [taylor]: Taking taylor expansion of (/ 1 b) in b
6.031 * [taylor]: Taking taylor expansion of b in b
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [backup-simplify]: Simplify (/ 1 1) into 1
6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.032 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.033 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.033 * [backup-simplify]: Simplify (+ a 0) into a
6.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ a (* b d))))) into (- (/ a (* (pow b 2) (pow d 2))))
6.034 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* (- (/ a (* (pow b 2) (pow d 2)))) d)) into (- (/ a (* (pow b 2) d)))
6.034 * [taylor]: Taking taylor expansion of (- (/ a (* (pow b 2) d))) in d
6.034 * [taylor]: Taking taylor expansion of (/ a (* (pow b 2) d)) in d
6.034 * [taylor]: Taking taylor expansion of a in d
6.034 * [backup-simplify]: Simplify a into a
6.034 * [taylor]: Taking taylor expansion of (* (pow b 2) d) in d
6.034 * [taylor]: Taking taylor expansion of (pow b 2) in d
6.034 * [taylor]: Taking taylor expansion of b in d
6.034 * [backup-simplify]: Simplify b into b
6.034 * [taylor]: Taking taylor expansion of d in d
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 1 into 1
6.034 * [backup-simplify]: Simplify (* b b) into (pow b 2)
6.034 * [backup-simplify]: Simplify (* (pow b 2) 0) into 0
6.034 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
6.035 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (* 0 0)) into (pow b 2)
6.035 * [backup-simplify]: Simplify (/ a (pow b 2)) into (/ a (pow b 2))
6.035 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
6.036 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 0))) into 0
6.037 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0
6.037 * [backup-simplify]: Simplify (- 0) into 0
6.037 * [taylor]: Taking taylor expansion of 0 in a
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [taylor]: Taking taylor expansion of 0 in b
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.037 * [taylor]: Taking taylor expansion of 0 in a
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [taylor]: Taking taylor expansion of 0 in b
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.038 * [taylor]: Taking taylor expansion of 0 in b
6.038 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (* 1 1) into 1
6.039 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
6.040 * [backup-simplify]: Simplify (+ 1 0) into 1
6.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
6.041 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.042 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.042 * [backup-simplify]: Simplify (+ 0 0) into 0
6.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) (pow d 2)))) (/ a (* b d))))) into (/ (pow a 2) (* (pow b 3) (pow d 3)))
6.044 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) (/ 1/2 d)) (+ (* (- (/ a (* (pow b 2) (pow d 2)))) 0) (* (/ (pow a 2) (* (pow b 3) (pow d 3))) d))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2)))))
6.044 * [taylor]: Taking taylor expansion of (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) in d
6.044 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* (pow b 3) (pow d 2))) in d
6.044 * [taylor]: Taking taylor expansion of (pow a 2) in d
6.044 * [taylor]: Taking taylor expansion of a in d
6.044 * [backup-simplify]: Simplify a into a
6.044 * [taylor]: Taking taylor expansion of (* (pow b 3) (pow d 2)) in d
6.044 * [taylor]: Taking taylor expansion of (pow b 3) in d
6.044 * [taylor]: Taking taylor expansion of b in d
6.044 * [backup-simplify]: Simplify b into b
6.044 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.044 * [taylor]: Taking taylor expansion of d in d
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify 1 into 1
6.044 * [backup-simplify]: Simplify (* a a) into (pow a 2)
6.044 * [backup-simplify]: Simplify (* b b) into (pow b 2)
6.045 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3)
6.045 * [backup-simplify]: Simplify (* 1 1) into 1
6.045 * [backup-simplify]: Simplify (* (pow b 3) 1) into (pow b 3)
6.045 * [backup-simplify]: Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3))
6.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 2)))) in d
6.045 * [taylor]: Taking taylor expansion of 1/2 in d
6.045 * [backup-simplify]: Simplify 1/2 into 1/2
6.045 * [taylor]: Taking taylor expansion of (/ 1 (* b (pow d 2))) in d
6.045 * [taylor]: Taking taylor expansion of (* b (pow d 2)) in d
6.045 * [taylor]: Taking taylor expansion of b in d
6.045 * [backup-simplify]: Simplify b into b
6.046 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.046 * [taylor]: Taking taylor expansion of d in d
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (* 1 1) into 1
6.046 * [backup-simplify]: Simplify (* b 1) into b
6.046 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.047 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.047 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
6.048 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0
6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.049 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
6.049 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0
6.050 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (+ (* 0 0) (* 0 1))) into 0
6.050 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
6.051 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (* 0 1)) into 0
6.051 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0
6.052 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0
6.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.054 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
6.054 * [backup-simplify]: Simplify (+ (* b 0) (* 0 1)) into 0
6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
6.056 * [backup-simplify]: Simplify (+ 0 0) into 0
6.056 * [taylor]: Taking taylor expansion of 0 in a
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [taylor]: Taking taylor expansion of 0 in b
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.057 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in (c d a b) around 0
6.057 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
6.057 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b
6.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.057 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.057 * [taylor]: Taking taylor expansion of (* b d) in b
6.057 * [taylor]: Taking taylor expansion of b in b
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify 1 into 1
6.057 * [taylor]: Taking taylor expansion of d in b
6.057 * [backup-simplify]: Simplify d into d
6.057 * [backup-simplify]: Simplify (* 0 d) into 0
6.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.058 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.058 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.058 * [taylor]: Taking taylor expansion of (* a c) in b
6.058 * [taylor]: Taking taylor expansion of a in b
6.058 * [backup-simplify]: Simplify a into a
6.058 * [taylor]: Taking taylor expansion of c in b
6.058 * [backup-simplify]: Simplify c into c
6.058 * [backup-simplify]: Simplify (* a c) into (* a c)
6.058 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.058 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
6.058 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d
6.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
6.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
6.058 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.058 * [taylor]: Taking taylor expansion of c in b
6.058 * [backup-simplify]: Simplify c into c
6.058 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.058 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
6.058 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.058 * [taylor]: Taking taylor expansion of d in b
6.058 * [backup-simplify]: Simplify d into d
6.059 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.059 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.059 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.059 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.059 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.060 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
6.061 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
6.061 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a
6.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.061 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.061 * [taylor]: Taking taylor expansion of (* b d) in a
6.061 * [taylor]: Taking taylor expansion of b in a
6.061 * [backup-simplify]: Simplify b into b
6.061 * [taylor]: Taking taylor expansion of d in a
6.061 * [backup-simplify]: Simplify d into d
6.061 * [backup-simplify]: Simplify (* b d) into (* b d)
6.061 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.061 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.061 * [taylor]: Taking taylor expansion of (* a c) in a
6.061 * [taylor]: Taking taylor expansion of a in a
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify 1 into 1
6.061 * [taylor]: Taking taylor expansion of c in a
6.061 * [backup-simplify]: Simplify c into c
6.061 * [backup-simplify]: Simplify (* 0 c) into 0
6.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.062 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.062 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
6.062 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c
6.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
6.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
6.062 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.062 * [taylor]: Taking taylor expansion of c in a
6.062 * [backup-simplify]: Simplify c into c
6.062 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.062 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
6.062 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.062 * [taylor]: Taking taylor expansion of d in a
6.062 * [backup-simplify]: Simplify d into d
6.062 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.062 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.062 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.062 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.062 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.063 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.063 * [backup-simplify]: Simplify (+ 0 0) into 0
6.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
6.063 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
6.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d
6.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.064 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.064 * [taylor]: Taking taylor expansion of (* b d) in d
6.064 * [taylor]: Taking taylor expansion of b in d
6.064 * [backup-simplify]: Simplify b into b
6.064 * [taylor]: Taking taylor expansion of d in d
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.064 * [backup-simplify]: Simplify (* b 0) into 0
6.064 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.064 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.064 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.064 * [taylor]: Taking taylor expansion of (* a c) in d
6.064 * [taylor]: Taking taylor expansion of a in d
6.064 * [backup-simplify]: Simplify a into a
6.064 * [taylor]: Taking taylor expansion of c in d
6.064 * [backup-simplify]: Simplify c into c
6.064 * [backup-simplify]: Simplify (* a c) into (* a c)
6.064 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.064 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
6.064 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b
6.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
6.064 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.064 * [taylor]: Taking taylor expansion of c in d
6.064 * [backup-simplify]: Simplify c into c
6.064 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.064 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
6.064 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.064 * [taylor]: Taking taylor expansion of d in d
6.064 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [backup-simplify]: Simplify (+ 0 1) into 1
6.065 * [backup-simplify]: Simplify (sqrt 1) into 1
6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.066 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.067 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.067 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
6.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.067 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.067 * [taylor]: Taking taylor expansion of (* b d) in c
6.067 * [taylor]: Taking taylor expansion of b in c
6.067 * [backup-simplify]: Simplify b into b
6.067 * [taylor]: Taking taylor expansion of d in c
6.067 * [backup-simplify]: Simplify d into d
6.067 * [backup-simplify]: Simplify (* b d) into (* b d)
6.067 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.067 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.067 * [taylor]: Taking taylor expansion of (* a c) in c
6.067 * [taylor]: Taking taylor expansion of a in c
6.067 * [backup-simplify]: Simplify a into a
6.067 * [taylor]: Taking taylor expansion of c in c
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (* a 0) into 0
6.068 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.068 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.068 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.068 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
6.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.068 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.068 * [taylor]: Taking taylor expansion of c in c
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify (* 1 1) into 1
6.068 * [backup-simplify]: Simplify (/ 1 1) into 1
6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.068 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.068 * [taylor]: Taking taylor expansion of d in c
6.068 * [backup-simplify]: Simplify d into d
6.068 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.068 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.069 * [backup-simplify]: Simplify (+ 1 0) into 1
6.069 * [backup-simplify]: Simplify (sqrt 1) into 1
6.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.070 * [backup-simplify]: Simplify (+ 0 0) into 0
6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.071 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
6.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.071 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.071 * [taylor]: Taking taylor expansion of (* b d) in c
6.071 * [taylor]: Taking taylor expansion of b in c
6.071 * [backup-simplify]: Simplify b into b
6.071 * [taylor]: Taking taylor expansion of d in c
6.071 * [backup-simplify]: Simplify d into d
6.071 * [backup-simplify]: Simplify (* b d) into (* b d)
6.071 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.071 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.071 * [taylor]: Taking taylor expansion of (* a c) in c
6.071 * [taylor]: Taking taylor expansion of a in c
6.071 * [backup-simplify]: Simplify a into a
6.071 * [taylor]: Taking taylor expansion of c in c
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (* a 0) into 0
6.071 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.071 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.071 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.071 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
6.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.071 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.071 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.071 * [taylor]: Taking taylor expansion of c in c
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.072 * [backup-simplify]: Simplify (* 1 1) into 1
6.072 * [backup-simplify]: Simplify (/ 1 1) into 1
6.072 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.072 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.072 * [taylor]: Taking taylor expansion of d in c
6.072 * [backup-simplify]: Simplify d into d
6.072 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.072 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.072 * [backup-simplify]: Simplify (+ 1 0) into 1
6.073 * [backup-simplify]: Simplify (sqrt 1) into 1
6.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.074 * [backup-simplify]: Simplify (+ 0 0) into 0
6.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.074 * [backup-simplify]: Simplify (* a 1) into a
6.074 * [taylor]: Taking taylor expansion of a in d
6.074 * [backup-simplify]: Simplify a into a
6.074 * [taylor]: Taking taylor expansion of a in a
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify 1 into 1
6.074 * [taylor]: Taking taylor expansion of 1 in b
6.074 * [backup-simplify]: Simplify 1 into 1
6.074 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.075 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.075 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
6.075 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d)))
6.075 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
6.075 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d
6.075 * [taylor]: Taking taylor expansion of (pow a 2) in d
6.075 * [taylor]: Taking taylor expansion of a in d
6.075 * [backup-simplify]: Simplify a into a
6.075 * [taylor]: Taking taylor expansion of (* b d) in d
6.075 * [taylor]: Taking taylor expansion of b in d
6.075 * [backup-simplify]: Simplify b into b
6.075 * [taylor]: Taking taylor expansion of d in d
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.076 * [backup-simplify]: Simplify (* a a) into (pow a 2)
6.076 * [backup-simplify]: Simplify (* b 0) into 0
6.076 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.076 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
6.076 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
6.078 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
6.078 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
6.078 * [backup-simplify]: Simplify (- 0) into 0
6.078 * [taylor]: Taking taylor expansion of 0 in a
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in b
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in a
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in b
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in b
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
6.080 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.081 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.082 * [backup-simplify]: Simplify (+ 0 0) into 0
6.083 * [backup-simplify]: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (/ (pow a 3) (* (pow b 2) (pow d 2)))
6.084 * [backup-simplify]: Simplify (+ (* a (/ 1/2 (pow d 2))) (+ (* (- (/ (pow a 2) (* b d))) 0) (* (/ (pow a 3) (* (pow b 2) (pow d 2))) 1))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
6.084 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
6.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
6.084 * [taylor]: Taking taylor expansion of 1/2 in d
6.084 * [backup-simplify]: Simplify 1/2 into 1/2
6.084 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d
6.084 * [taylor]: Taking taylor expansion of a in d
6.084 * [backup-simplify]: Simplify a into a
6.084 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.084 * [taylor]: Taking taylor expansion of d in d
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 1 into 1
6.084 * [backup-simplify]: Simplify (* 1 1) into 1
6.084 * [backup-simplify]: Simplify (/ a 1) into a
6.085 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
6.085 * [taylor]: Taking taylor expansion of (pow a 3) in d
6.085 * [taylor]: Taking taylor expansion of a in d
6.085 * [backup-simplify]: Simplify a into a
6.085 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
6.085 * [taylor]: Taking taylor expansion of (pow b 2) in d
6.085 * [taylor]: Taking taylor expansion of b in d
6.085 * [backup-simplify]: Simplify b into b
6.085 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.085 * [taylor]: Taking taylor expansion of d in d
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.085 * [backup-simplify]: Simplify (* a a) into (pow a 2)
6.085 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3)
6.085 * [backup-simplify]: Simplify (* b b) into (pow b 2)
6.085 * [backup-simplify]: Simplify (* 1 1) into 1
6.086 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2)
6.086 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
6.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
6.091 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
6.091 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
6.092 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0
6.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.093 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
6.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.094 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
6.095 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.095 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0
6.096 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
6.096 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
6.097 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
6.097 * [backup-simplify]: Simplify (+ 0 0) into 0
6.097 * [taylor]: Taking taylor expansion of 0 in a
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [taylor]: Taking taylor expansion of 0 in b
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.098 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in (c d a b) around 0
6.098 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
6.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b
6.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.098 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.098 * [taylor]: Taking taylor expansion of (* b d) in b
6.098 * [taylor]: Taking taylor expansion of b in b
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 1 into 1
6.098 * [taylor]: Taking taylor expansion of d in b
6.098 * [backup-simplify]: Simplify d into d
6.098 * [backup-simplify]: Simplify (* 0 d) into 0
6.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.099 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.099 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.099 * [taylor]: Taking taylor expansion of (* a c) in b
6.099 * [taylor]: Taking taylor expansion of a in b
6.099 * [backup-simplify]: Simplify a into a
6.099 * [taylor]: Taking taylor expansion of c in b
6.099 * [backup-simplify]: Simplify c into c
6.099 * [backup-simplify]: Simplify (* a c) into (* a c)
6.099 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.099 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
6.099 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d
6.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
6.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
6.100 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
6.100 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.100 * [taylor]: Taking taylor expansion of c in b
6.100 * [backup-simplify]: Simplify c into c
6.100 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.100 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.100 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
6.100 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.100 * [taylor]: Taking taylor expansion of d in b
6.100 * [backup-simplify]: Simplify d into d
6.100 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.100 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.100 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.101 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.101 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.101 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.102 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
6.102 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
6.102 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a
6.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.102 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.102 * [taylor]: Taking taylor expansion of (* b d) in a
6.102 * [taylor]: Taking taylor expansion of b in a
6.103 * [backup-simplify]: Simplify b into b
6.103 * [taylor]: Taking taylor expansion of d in a
6.103 * [backup-simplify]: Simplify d into d
6.103 * [backup-simplify]: Simplify (* b d) into (* b d)
6.103 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.103 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.103 * [taylor]: Taking taylor expansion of (* a c) in a
6.103 * [taylor]: Taking taylor expansion of a in a
6.103 * [backup-simplify]: Simplify 0 into 0
6.103 * [backup-simplify]: Simplify 1 into 1
6.103 * [taylor]: Taking taylor expansion of c in a
6.103 * [backup-simplify]: Simplify c into c
6.103 * [backup-simplify]: Simplify (* 0 c) into 0
6.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.104 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.104 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
6.104 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c
6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
6.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
6.104 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.104 * [taylor]: Taking taylor expansion of c in a
6.104 * [backup-simplify]: Simplify c into c
6.104 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.104 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
6.104 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.104 * [taylor]: Taking taylor expansion of d in a
6.104 * [backup-simplify]: Simplify d into d
6.104 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.104 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.104 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.105 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.105 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.105 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.105 * [backup-simplify]: Simplify (+ 0 0) into 0
6.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
6.106 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
6.106 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d
6.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.106 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.106 * [taylor]: Taking taylor expansion of (* b d) in d
6.106 * [taylor]: Taking taylor expansion of b in d
6.106 * [backup-simplify]: Simplify b into b
6.106 * [taylor]: Taking taylor expansion of d in d
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.106 * [backup-simplify]: Simplify (* b 0) into 0
6.106 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.106 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.106 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.106 * [taylor]: Taking taylor expansion of (* a c) in d
6.106 * [taylor]: Taking taylor expansion of a in d
6.106 * [backup-simplify]: Simplify a into a
6.106 * [taylor]: Taking taylor expansion of c in d
6.106 * [backup-simplify]: Simplify c into c
6.106 * [backup-simplify]: Simplify (* a c) into (* a c)
6.106 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.106 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
6.106 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b
6.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
6.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
6.106 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
6.106 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.106 * [taylor]: Taking taylor expansion of c in d
6.106 * [backup-simplify]: Simplify c into c
6.106 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.107 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.107 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
6.107 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.107 * [taylor]: Taking taylor expansion of d in d
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (* 1 1) into 1
6.107 * [backup-simplify]: Simplify (/ 1 1) into 1
6.107 * [backup-simplify]: Simplify (+ 0 1) into 1
6.108 * [backup-simplify]: Simplify (sqrt 1) into 1
6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.109 * [backup-simplify]: Simplify (+ 0 0) into 0
6.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.109 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.109 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
6.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.109 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.109 * [taylor]: Taking taylor expansion of (* b d) in c
6.109 * [taylor]: Taking taylor expansion of b in c
6.109 * [backup-simplify]: Simplify b into b
6.109 * [taylor]: Taking taylor expansion of d in c
6.109 * [backup-simplify]: Simplify d into d
6.109 * [backup-simplify]: Simplify (* b d) into (* b d)
6.109 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.109 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.109 * [taylor]: Taking taylor expansion of (* a c) in c
6.109 * [taylor]: Taking taylor expansion of a in c
6.109 * [backup-simplify]: Simplify a into a
6.109 * [taylor]: Taking taylor expansion of c in c
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (* a 0) into 0
6.110 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.110 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.110 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.110 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
6.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.110 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.110 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.110 * [taylor]: Taking taylor expansion of c in c
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [backup-simplify]: Simplify (* 1 1) into 1
6.110 * [backup-simplify]: Simplify (/ 1 1) into 1
6.110 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.110 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.110 * [taylor]: Taking taylor expansion of d in c
6.110 * [backup-simplify]: Simplify d into d
6.111 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.111 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.111 * [backup-simplify]: Simplify (+ 1 0) into 1
6.111 * [backup-simplify]: Simplify (sqrt 1) into 1
6.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.113 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
6.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.113 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.113 * [taylor]: Taking taylor expansion of (* b d) in c
6.113 * [taylor]: Taking taylor expansion of b in c
6.113 * [backup-simplify]: Simplify b into b
6.113 * [taylor]: Taking taylor expansion of d in c
6.113 * [backup-simplify]: Simplify d into d
6.113 * [backup-simplify]: Simplify (* b d) into (* b d)
6.113 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.113 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.113 * [taylor]: Taking taylor expansion of (* a c) in c
6.113 * [taylor]: Taking taylor expansion of a in c
6.113 * [backup-simplify]: Simplify a into a
6.113 * [taylor]: Taking taylor expansion of c in c
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [backup-simplify]: Simplify (* a 0) into 0
6.113 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.113 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.113 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.113 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
6.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.113 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.114 * [taylor]: Taking taylor expansion of c in c
6.114 * [backup-simplify]: Simplify 0 into 0
6.114 * [backup-simplify]: Simplify 1 into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (/ 1 1) into 1
6.114 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.114 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.114 * [taylor]: Taking taylor expansion of d in c
6.114 * [backup-simplify]: Simplify d into d
6.114 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.114 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.115 * [backup-simplify]: Simplify (+ 1 0) into 1
6.115 * [backup-simplify]: Simplify (sqrt 1) into 1
6.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.116 * [backup-simplify]: Simplify (+ 0 0) into 0
6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.116 * [backup-simplify]: Simplify (* a 1) into a
6.117 * [taylor]: Taking taylor expansion of a in d
6.117 * [backup-simplify]: Simplify a into a
6.117 * [taylor]: Taking taylor expansion of a in a
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify 1 into 1
6.117 * [taylor]: Taking taylor expansion of 1 in b
6.117 * [backup-simplify]: Simplify 1 into 1
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.117 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.117 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
6.118 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d)))
6.118 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
6.118 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d
6.118 * [taylor]: Taking taylor expansion of (pow a 2) in d
6.118 * [taylor]: Taking taylor expansion of a in d
6.118 * [backup-simplify]: Simplify a into a
6.118 * [taylor]: Taking taylor expansion of (* b d) in d
6.118 * [taylor]: Taking taylor expansion of b in d
6.118 * [backup-simplify]: Simplify b into b
6.118 * [taylor]: Taking taylor expansion of d in d
6.118 * [backup-simplify]: Simplify 0 into 0
6.118 * [backup-simplify]: Simplify 1 into 1
6.118 * [backup-simplify]: Simplify (* a a) into (pow a 2)
6.118 * [backup-simplify]: Simplify (* b 0) into 0
6.118 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.118 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
6.118 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
6.119 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
6.119 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
6.119 * [backup-simplify]: Simplify (- 0) into 0
6.119 * [taylor]: Taking taylor expansion of 0 in a
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [taylor]: Taking taylor expansion of 0 in b
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [taylor]: Taking taylor expansion of 0 in a
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [taylor]: Taking taylor expansion of 0 in b
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [taylor]: Taking taylor expansion of 0 in b
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.121 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
6.121 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.122 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.122 * [backup-simplify]: Simplify (+ 0 0) into 0
6.123 * [backup-simplify]: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (/ (pow a 3) (* (pow b 2) (pow d 2)))
6.123 * [backup-simplify]: Simplify (+ (* a (/ 1/2 (pow d 2))) (+ (* (- (/ (pow a 2) (* b d))) 0) (* (/ (pow a 3) (* (pow b 2) (pow d 2))) 1))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
6.123 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
6.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
6.123 * [taylor]: Taking taylor expansion of 1/2 in d
6.123 * [backup-simplify]: Simplify 1/2 into 1/2
6.123 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d
6.123 * [taylor]: Taking taylor expansion of a in d
6.123 * [backup-simplify]: Simplify a into a
6.123 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.123 * [taylor]: Taking taylor expansion of d in d
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (* 1 1) into 1
6.124 * [backup-simplify]: Simplify (/ a 1) into a
6.124 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
6.124 * [taylor]: Taking taylor expansion of (pow a 3) in d
6.124 * [taylor]: Taking taylor expansion of a in d
6.124 * [backup-simplify]: Simplify a into a
6.124 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
6.124 * [taylor]: Taking taylor expansion of (pow b 2) in d
6.124 * [taylor]: Taking taylor expansion of b in d
6.124 * [backup-simplify]: Simplify b into b
6.124 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.124 * [taylor]: Taking taylor expansion of d in d
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (* a a) into (pow a 2)
6.124 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3)
6.124 * [backup-simplify]: Simplify (* b b) into (pow b 2)
6.124 * [backup-simplify]: Simplify (* 1 1) into 1
6.124 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2)
6.125 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
6.128 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
6.128 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
6.128 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0
6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.129 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
6.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.130 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
6.130 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.130 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0
6.130 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
6.131 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
6.131 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
6.131 * [backup-simplify]: Simplify (+ 0 0) into 0
6.131 * [taylor]: Taking taylor expansion of 0 in a
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [taylor]: Taking taylor expansion of 0 in b
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.132 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
6.132 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
6.132 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (c d a b) around 0
6.132 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
6.132 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
6.132 * [taylor]: Taking taylor expansion of (* a c) in b
6.132 * [taylor]: Taking taylor expansion of a in b
6.132 * [backup-simplify]: Simplify a into a
6.132 * [taylor]: Taking taylor expansion of c in b
6.132 * [backup-simplify]: Simplify c into c
6.132 * [taylor]: Taking taylor expansion of (* b d) in b
6.132 * [taylor]: Taking taylor expansion of b in b
6.132 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify 1 into 1
6.132 * [taylor]: Taking taylor expansion of d in b
6.132 * [backup-simplify]: Simplify d into d
6.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
6.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
6.132 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
6.132 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.132 * [taylor]: Taking taylor expansion of c in b
6.132 * [backup-simplify]: Simplify c into c
6.132 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.132 * [taylor]: Taking taylor expansion of d in b
6.132 * [backup-simplify]: Simplify d into d
6.132 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.132 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.133 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
6.133 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
6.133 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
6.133 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.133 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.134 * [backup-simplify]: Simplify (+ 0 0) into 0
6.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
6.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
6.135 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
6.135 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
6.135 * [taylor]: Taking taylor expansion of (* a c) in a
6.135 * [taylor]: Taking taylor expansion of a in a
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [taylor]: Taking taylor expansion of c in a
6.135 * [backup-simplify]: Simplify c into c
6.135 * [taylor]: Taking taylor expansion of (* b d) in a
6.135 * [taylor]: Taking taylor expansion of b in a
6.135 * [backup-simplify]: Simplify b into b
6.135 * [taylor]: Taking taylor expansion of d in a
6.135 * [backup-simplify]: Simplify d into d
6.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
6.135 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
6.135 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
6.135 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.135 * [taylor]: Taking taylor expansion of c in a
6.135 * [backup-simplify]: Simplify c into c
6.135 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.135 * [taylor]: Taking taylor expansion of d in a
6.135 * [backup-simplify]: Simplify d into d
6.135 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.135 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.136 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
6.136 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
6.136 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
6.136 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.137 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.137 * [backup-simplify]: Simplify (+ 0 0) into 0
6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
6.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
6.138 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
6.138 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
6.138 * [taylor]: Taking taylor expansion of (* a c) in d
6.138 * [taylor]: Taking taylor expansion of a in d
6.138 * [backup-simplify]: Simplify a into a
6.138 * [taylor]: Taking taylor expansion of c in d
6.138 * [backup-simplify]: Simplify c into c
6.138 * [taylor]: Taking taylor expansion of (* b d) in d
6.138 * [taylor]: Taking taylor expansion of b in d
6.138 * [backup-simplify]: Simplify b into b
6.138 * [taylor]: Taking taylor expansion of d in d
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
6.138 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
6.138 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
6.138 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.138 * [taylor]: Taking taylor expansion of c in d
6.138 * [backup-simplify]: Simplify c into c
6.138 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.138 * [taylor]: Taking taylor expansion of d in d
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.139 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.139 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
6.139 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.139 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
6.139 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.140 * [backup-simplify]: Simplify (+ 0 0) into 0
6.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
6.140 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
6.140 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
6.140 * [taylor]: Taking taylor expansion of (* a c) in c
6.140 * [taylor]: Taking taylor expansion of a in c
6.140 * [backup-simplify]: Simplify a into a
6.140 * [taylor]: Taking taylor expansion of c in c
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 1 into 1
6.140 * [taylor]: Taking taylor expansion of (* b d) in c
6.141 * [taylor]: Taking taylor expansion of b in c
6.141 * [backup-simplify]: Simplify b into b
6.141 * [taylor]: Taking taylor expansion of d in c
6.141 * [backup-simplify]: Simplify d into d
6.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
6.141 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
6.141 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
6.141 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.141 * [taylor]: Taking taylor expansion of c in c
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 1 into 1
6.141 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.141 * [taylor]: Taking taylor expansion of d in c
6.141 * [backup-simplify]: Simplify d into d
6.141 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.141 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
6.141 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.141 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
6.141 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.142 * [backup-simplify]: Simplify (+ 0 0) into 0
6.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
6.142 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
6.142 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
6.142 * [taylor]: Taking taylor expansion of (* a c) in c
6.142 * [taylor]: Taking taylor expansion of a in c
6.142 * [backup-simplify]: Simplify a into a
6.142 * [taylor]: Taking taylor expansion of c in c
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.142 * [taylor]: Taking taylor expansion of (* b d) in c
6.142 * [taylor]: Taking taylor expansion of b in c
6.142 * [backup-simplify]: Simplify b into b
6.142 * [taylor]: Taking taylor expansion of d in c
6.143 * [backup-simplify]: Simplify d into d
6.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
6.143 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
6.143 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
6.143 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.143 * [taylor]: Taking taylor expansion of c in c
6.143 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify 1 into 1
6.143 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.143 * [taylor]: Taking taylor expansion of d in c
6.143 * [backup-simplify]: Simplify d into d
6.143 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.143 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
6.143 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.143 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
6.143 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
6.144 * [backup-simplify]: Simplify (* a 0) into 0
6.144 * [backup-simplify]: Simplify (* b d) into (* b d)
6.145 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
6.145 * [backup-simplify]: Simplify (* (* b d) (/ 1 d)) into b
6.145 * [taylor]: Taking taylor expansion of b in d
6.145 * [backup-simplify]: Simplify b into b
6.145 * [taylor]: Taking taylor expansion of b in a
6.145 * [backup-simplify]: Simplify b into b
6.145 * [taylor]: Taking taylor expansion of b in b
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.145 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.145 * [backup-simplify]: Simplify (+ a 0) into a
6.146 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* a (/ 1 d))) into (/ a d)
6.146 * [taylor]: Taking taylor expansion of (/ a d) in d
6.146 * [taylor]: Taking taylor expansion of a in d
6.146 * [backup-simplify]: Simplify a into a
6.146 * [taylor]: Taking taylor expansion of d in d
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (/ a 1) into a
6.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
6.147 * [taylor]: Taking taylor expansion of 0 in a
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [taylor]: Taking taylor expansion of 0 in b
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [taylor]: Taking taylor expansion of 0 in a
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [taylor]: Taking taylor expansion of 0 in b
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [taylor]: Taking taylor expansion of 0 in b
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 1 into 1
6.147 * [backup-simplify]: Simplify (* 1 1) into 1
6.148 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
6.148 * [backup-simplify]: Simplify (+ 1 0) into 1
6.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
6.150 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
6.154 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.155 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.155 * [backup-simplify]: Simplify (+ 0 0) into 0
6.156 * [backup-simplify]: Simplify (+ (* (* b d) (/ -1/2 (pow d 3))) (+ (* a 0) (* 0 (/ 1 d)))) into (- (* 1/2 (/ b (pow d 2))))
6.156 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in d
6.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in d
6.156 * [taylor]: Taking taylor expansion of 1/2 in d
6.156 * [backup-simplify]: Simplify 1/2 into 1/2
6.156 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in d
6.156 * [taylor]: Taking taylor expansion of b in d
6.156 * [backup-simplify]: Simplify b into b
6.156 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.156 * [taylor]: Taking taylor expansion of d in d
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (* 1 1) into 1
6.156 * [backup-simplify]: Simplify (/ b 1) into b
6.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0
6.161 * [backup-simplify]: Simplify (- 0) into 0
6.161 * [taylor]: Taking taylor expansion of 0 in a
6.161 * [backup-simplify]: Simplify 0 into 0
6.161 * [taylor]: Taking taylor expansion of 0 in b
6.161 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.163 * [taylor]: Taking taylor expansion of 0 in a
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in b
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in a
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in b
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in b
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in b
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [taylor]: Taking taylor expansion of 0 in b
6.163 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify (* 1 (* b (* 1 (* 1 1)))) into b
6.165 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
6.165 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (c d a b) around 0
6.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.165 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.165 * [taylor]: Taking taylor expansion of (* b d) in b
6.165 * [taylor]: Taking taylor expansion of b in b
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.165 * [taylor]: Taking taylor expansion of d in b
6.165 * [backup-simplify]: Simplify d into d
6.165 * [backup-simplify]: Simplify (* 0 d) into 0
6.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.166 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.166 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.166 * [taylor]: Taking taylor expansion of (* a c) in b
6.166 * [taylor]: Taking taylor expansion of a in b
6.166 * [backup-simplify]: Simplify a into a
6.166 * [taylor]: Taking taylor expansion of c in b
6.166 * [backup-simplify]: Simplify c into c
6.166 * [backup-simplify]: Simplify (* a c) into (* a c)
6.166 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
6.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
6.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
6.166 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.166 * [taylor]: Taking taylor expansion of c in b
6.166 * [backup-simplify]: Simplify c into c
6.166 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.166 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
6.166 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.166 * [taylor]: Taking taylor expansion of d in b
6.166 * [backup-simplify]: Simplify d into d
6.167 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.167 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.167 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.167 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.168 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.168 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.168 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.169 * [backup-simplify]: Simplify (+ 0 0) into 0
6.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
6.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.170 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.170 * [taylor]: Taking taylor expansion of (* b d) in a
6.170 * [taylor]: Taking taylor expansion of b in a
6.170 * [backup-simplify]: Simplify b into b
6.170 * [taylor]: Taking taylor expansion of d in a
6.170 * [backup-simplify]: Simplify d into d
6.170 * [backup-simplify]: Simplify (* b d) into (* b d)
6.170 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.170 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.170 * [taylor]: Taking taylor expansion of (* a c) in a
6.170 * [taylor]: Taking taylor expansion of a in a
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [taylor]: Taking taylor expansion of c in a
6.171 * [backup-simplify]: Simplify c into c
6.171 * [backup-simplify]: Simplify (* 0 c) into 0
6.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.171 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
6.171 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
6.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
6.171 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.171 * [taylor]: Taking taylor expansion of c in a
6.171 * [backup-simplify]: Simplify c into c
6.171 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.171 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.172 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
6.172 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.172 * [taylor]: Taking taylor expansion of d in a
6.172 * [backup-simplify]: Simplify d into d
6.172 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.172 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.172 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.172 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.173 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.173 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.173 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.174 * [backup-simplify]: Simplify (+ 0 0) into 0
6.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
6.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.175 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.175 * [taylor]: Taking taylor expansion of (* b d) in d
6.175 * [taylor]: Taking taylor expansion of b in d
6.175 * [backup-simplify]: Simplify b into b
6.175 * [taylor]: Taking taylor expansion of d in d
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 1 into 1
6.175 * [backup-simplify]: Simplify (* b 0) into 0
6.176 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.176 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.176 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.176 * [taylor]: Taking taylor expansion of (* a c) in d
6.176 * [taylor]: Taking taylor expansion of a in d
6.176 * [backup-simplify]: Simplify a into a
6.176 * [taylor]: Taking taylor expansion of c in d
6.176 * [backup-simplify]: Simplify c into c
6.176 * [backup-simplify]: Simplify (* a c) into (* a c)
6.176 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
6.176 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
6.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
6.176 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
6.176 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.176 * [taylor]: Taking taylor expansion of c in d
6.176 * [backup-simplify]: Simplify c into c
6.176 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.176 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.176 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
6.176 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.176 * [taylor]: Taking taylor expansion of d in d
6.176 * [backup-simplify]: Simplify 0 into 0
6.176 * [backup-simplify]: Simplify 1 into 1
6.177 * [backup-simplify]: Simplify (* 1 1) into 1
6.177 * [backup-simplify]: Simplify (/ 1 1) into 1
6.177 * [backup-simplify]: Simplify (+ 0 1) into 1
6.177 * [backup-simplify]: Simplify (/ 1 1) into 1
6.178 * [backup-simplify]: Simplify (sqrt 1) into 1
6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
6.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.180 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.180 * [taylor]: Taking taylor expansion of (* b d) in c
6.180 * [taylor]: Taking taylor expansion of b in c
6.180 * [backup-simplify]: Simplify b into b
6.180 * [taylor]: Taking taylor expansion of d in c
6.180 * [backup-simplify]: Simplify d into d
6.180 * [backup-simplify]: Simplify (* b d) into (* b d)
6.180 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.180 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.180 * [taylor]: Taking taylor expansion of (* a c) in c
6.180 * [taylor]: Taking taylor expansion of a in c
6.180 * [backup-simplify]: Simplify a into a
6.180 * [taylor]: Taking taylor expansion of c in c
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 1 into 1
6.180 * [backup-simplify]: Simplify (* a 0) into 0
6.180 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.180 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.180 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.180 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.180 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.180 * [taylor]: Taking taylor expansion of c in c
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 1 into 1
6.181 * [backup-simplify]: Simplify (* 1 1) into 1
6.181 * [backup-simplify]: Simplify (/ 1 1) into 1
6.181 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.181 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.181 * [taylor]: Taking taylor expansion of d in c
6.181 * [backup-simplify]: Simplify d into d
6.181 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.181 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.181 * [backup-simplify]: Simplify (+ 1 0) into 1
6.182 * [backup-simplify]: Simplify (/ 1 1) into 1
6.182 * [backup-simplify]: Simplify (sqrt 1) into 1
6.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.183 * [backup-simplify]: Simplify (+ 0 0) into 0
6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
6.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.184 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.184 * [taylor]: Taking taylor expansion of (* b d) in c
6.184 * [taylor]: Taking taylor expansion of b in c
6.184 * [backup-simplify]: Simplify b into b
6.184 * [taylor]: Taking taylor expansion of d in c
6.184 * [backup-simplify]: Simplify d into d
6.184 * [backup-simplify]: Simplify (* b d) into (* b d)
6.184 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.184 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.184 * [taylor]: Taking taylor expansion of (* a c) in c
6.184 * [taylor]: Taking taylor expansion of a in c
6.184 * [backup-simplify]: Simplify a into a
6.184 * [taylor]: Taking taylor expansion of c in c
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (* a 0) into 0
6.184 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.184 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.184 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.184 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.184 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.184 * [taylor]: Taking taylor expansion of c in c
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.185 * [backup-simplify]: Simplify (* 1 1) into 1
6.185 * [backup-simplify]: Simplify (/ 1 1) into 1
6.185 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.185 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.185 * [taylor]: Taking taylor expansion of d in c
6.185 * [backup-simplify]: Simplify d into d
6.185 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.185 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.185 * [backup-simplify]: Simplify (+ 1 0) into 1
6.186 * [backup-simplify]: Simplify (/ 1 1) into 1
6.186 * [backup-simplify]: Simplify (sqrt 1) into 1
6.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.187 * [backup-simplify]: Simplify (+ 0 0) into 0
6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.188 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.188 * [backup-simplify]: Simplify (* (/ 1 a) 1) into (/ 1 a)
6.188 * [taylor]: Taking taylor expansion of (/ 1 a) in d
6.188 * [taylor]: Taking taylor expansion of a in d
6.188 * [backup-simplify]: Simplify a into a
6.188 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.188 * [taylor]: Taking taylor expansion of (/ 1 a) in a
6.188 * [taylor]: Taking taylor expansion of a in a
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [backup-simplify]: Simplify (/ 1 1) into 1
6.188 * [taylor]: Taking taylor expansion of 1 in b
6.188 * [backup-simplify]: Simplify 1 into 1
6.189 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.189 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.189 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (* (/ 1 (* b d)) 1)) into (/ 1 (* b d))
6.189 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.189 * [taylor]: Taking taylor expansion of (* b d) in d
6.189 * [taylor]: Taking taylor expansion of b in d
6.189 * [backup-simplify]: Simplify b into b
6.189 * [taylor]: Taking taylor expansion of d in d
6.189 * [backup-simplify]: Simplify 0 into 0
6.189 * [backup-simplify]: Simplify 1 into 1
6.189 * [backup-simplify]: Simplify (* b 0) into 0
6.189 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.189 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.190 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.190 * [taylor]: Taking taylor expansion of 0 in a
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.190 * [taylor]: Taking taylor expansion of 0 in a
6.190 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.191 * [taylor]: Taking taylor expansion of 0 in b
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
6.194 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
6.194 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.194 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ -1/2 (pow d 2))) (+ (* (/ 1 (* b d)) 0) (* 0 1))) into (- (* 1/2 (/ 1 (* a (pow d 2)))))
6.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d
6.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d
6.195 * [taylor]: Taking taylor expansion of 1/2 in d
6.195 * [backup-simplify]: Simplify 1/2 into 1/2
6.195 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow d 2))) in d
6.195 * [taylor]: Taking taylor expansion of (* a (pow d 2)) in d
6.195 * [taylor]: Taking taylor expansion of a in d
6.195 * [backup-simplify]: Simplify a into a
6.195 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.195 * [taylor]: Taking taylor expansion of d in d
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.196 * [backup-simplify]: Simplify (* 1 1) into 1
6.196 * [backup-simplify]: Simplify (* a 1) into a
6.196 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.197 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
6.197 * [backup-simplify]: Simplify (+ (* a 0) (* 0 1)) into 0
6.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0
6.198 * [backup-simplify]: Simplify (- 0) into 0
6.198 * [taylor]: Taking taylor expansion of 0 in a
6.198 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.199 * [taylor]: Taking taylor expansion of 0 in a
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.199 * [taylor]: Taking taylor expansion of 0 in a
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [taylor]: Taking taylor expansion of 0 in b
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [taylor]: Taking taylor expansion of 0 in b
6.199 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.200 * [taylor]: Taking taylor expansion of 0 in b
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify 0 into 0
6.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.201 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.201 * [backup-simplify]: Simplify (+ 0 0) into 0
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
6.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
6.203 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.204 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.205 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (+ (* (/ 1 (* b d)) (/ -1/2 (pow d 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (* b (pow d 3)))))
6.205 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d
6.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d
6.205 * [taylor]: Taking taylor expansion of 1/2 in d
6.205 * [backup-simplify]: Simplify 1/2 into 1/2
6.205 * [taylor]: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d
6.205 * [taylor]: Taking taylor expansion of (* b (pow d 3)) in d
6.205 * [taylor]: Taking taylor expansion of b in d
6.205 * [backup-simplify]: Simplify b into b
6.205 * [taylor]: Taking taylor expansion of (pow d 3) in d
6.205 * [taylor]: Taking taylor expansion of d in d
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (* 1 1) into 1
6.205 * [backup-simplify]: Simplify (* 1 1) into 1
6.205 * [backup-simplify]: Simplify (* b 1) into b
6.205 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.209 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.209 * [backup-simplify]: Simplify (+ (* b 0) (* 0 1)) into 0
6.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.210 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
6.211 * [backup-simplify]: Simplify (- 0) into 0
6.211 * [taylor]: Taking taylor expansion of 0 in a
6.211 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.212 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0
6.213 * [backup-simplify]: Simplify (- 0) into 0
6.213 * [taylor]: Taking taylor expansion of 0 in a
6.213 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.214 * [taylor]: Taking taylor expansion of 0 in a
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.214 * [taylor]: Taking taylor expansion of 0 in a
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in b
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in b
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in b
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in b
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in b
6.214 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.215 * [taylor]: Taking taylor expansion of 0 in b
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 a)) (* 1 1)))) into a
6.216 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
6.216 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (c d a b) around 0
6.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
6.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
6.216 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
6.216 * [taylor]: Taking taylor expansion of (* b d) in b
6.216 * [taylor]: Taking taylor expansion of b in b
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [taylor]: Taking taylor expansion of d in b
6.216 * [backup-simplify]: Simplify d into d
6.216 * [backup-simplify]: Simplify (* 0 d) into 0
6.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
6.216 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
6.216 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
6.216 * [taylor]: Taking taylor expansion of (* a c) in b
6.216 * [taylor]: Taking taylor expansion of a in b
6.216 * [backup-simplify]: Simplify a into a
6.216 * [taylor]: Taking taylor expansion of c in b
6.216 * [backup-simplify]: Simplify c into c
6.216 * [backup-simplify]: Simplify (* a c) into (* a c)
6.216 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
6.216 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
6.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
6.216 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
6.216 * [taylor]: Taking taylor expansion of (pow c 2) in b
6.216 * [taylor]: Taking taylor expansion of c in b
6.216 * [backup-simplify]: Simplify c into c
6.216 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.217 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
6.217 * [taylor]: Taking taylor expansion of (pow d 2) in b
6.217 * [taylor]: Taking taylor expansion of d in b
6.217 * [backup-simplify]: Simplify d into d
6.217 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.217 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.217 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.217 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.217 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.217 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.218 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.218 * [backup-simplify]: Simplify (+ 0 0) into 0
6.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.219 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
6.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
6.219 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
6.219 * [taylor]: Taking taylor expansion of (* b d) in a
6.219 * [taylor]: Taking taylor expansion of b in a
6.219 * [backup-simplify]: Simplify b into b
6.219 * [taylor]: Taking taylor expansion of d in a
6.219 * [backup-simplify]: Simplify d into d
6.219 * [backup-simplify]: Simplify (* b d) into (* b d)
6.219 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.219 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
6.219 * [taylor]: Taking taylor expansion of (* a c) in a
6.219 * [taylor]: Taking taylor expansion of a in a
6.219 * [backup-simplify]: Simplify 0 into 0
6.219 * [backup-simplify]: Simplify 1 into 1
6.219 * [taylor]: Taking taylor expansion of c in a
6.219 * [backup-simplify]: Simplify c into c
6.219 * [backup-simplify]: Simplify (* 0 c) into 0
6.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
6.219 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
6.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
6.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
6.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
6.219 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
6.219 * [taylor]: Taking taylor expansion of (pow c 2) in a
6.219 * [taylor]: Taking taylor expansion of c in a
6.219 * [backup-simplify]: Simplify c into c
6.219 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.219 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.219 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
6.219 * [taylor]: Taking taylor expansion of (pow d 2) in a
6.219 * [taylor]: Taking taylor expansion of d in a
6.220 * [backup-simplify]: Simplify d into d
6.220 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.220 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.220 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
6.220 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
6.220 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
6.220 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
6.221 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
6.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
6.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
6.223 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.223 * [taylor]: Taking taylor expansion of (* b d) in d
6.223 * [taylor]: Taking taylor expansion of b in d
6.223 * [backup-simplify]: Simplify b into b
6.223 * [taylor]: Taking taylor expansion of d in d
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 1 into 1
6.223 * [backup-simplify]: Simplify (* b 0) into 0
6.224 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.224 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
6.224 * [taylor]: Taking taylor expansion of (* a c) in d
6.224 * [taylor]: Taking taylor expansion of a in d
6.224 * [backup-simplify]: Simplify a into a
6.224 * [taylor]: Taking taylor expansion of c in d
6.224 * [backup-simplify]: Simplify c into c
6.224 * [backup-simplify]: Simplify (* a c) into (* a c)
6.224 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
6.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
6.224 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
6.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
6.224 * [taylor]: Taking taylor expansion of (pow c 2) in d
6.224 * [taylor]: Taking taylor expansion of c in d
6.224 * [backup-simplify]: Simplify c into c
6.224 * [backup-simplify]: Simplify (* c c) into (pow c 2)
6.224 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
6.224 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.224 * [taylor]: Taking taylor expansion of d in d
6.225 * [backup-simplify]: Simplify 0 into 0
6.225 * [backup-simplify]: Simplify 1 into 1
6.225 * [backup-simplify]: Simplify (* 1 1) into 1
6.225 * [backup-simplify]: Simplify (/ 1 1) into 1
6.226 * [backup-simplify]: Simplify (+ 0 1) into 1
6.226 * [backup-simplify]: Simplify (/ 1 1) into 1
6.226 * [backup-simplify]: Simplify (sqrt 1) into 1
6.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
6.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.229 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.229 * [taylor]: Taking taylor expansion of (* b d) in c
6.229 * [taylor]: Taking taylor expansion of b in c
6.229 * [backup-simplify]: Simplify b into b
6.229 * [taylor]: Taking taylor expansion of d in c
6.229 * [backup-simplify]: Simplify d into d
6.229 * [backup-simplify]: Simplify (* b d) into (* b d)
6.229 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.229 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.229 * [taylor]: Taking taylor expansion of (* a c) in c
6.229 * [taylor]: Taking taylor expansion of a in c
6.229 * [backup-simplify]: Simplify a into a
6.229 * [taylor]: Taking taylor expansion of c in c
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (* a 0) into 0
6.230 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.230 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.230 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.230 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.230 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.230 * [taylor]: Taking taylor expansion of c in c
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.230 * [backup-simplify]: Simplify (* 1 1) into 1
6.230 * [backup-simplify]: Simplify (/ 1 1) into 1
6.230 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.230 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.230 * [taylor]: Taking taylor expansion of d in c
6.230 * [backup-simplify]: Simplify d into d
6.230 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.231 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.231 * [backup-simplify]: Simplify (+ 1 0) into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [backup-simplify]: Simplify (sqrt 1) into 1
6.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.232 * [backup-simplify]: Simplify (+ 0 0) into 0
6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.233 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
6.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
6.233 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
6.233 * [taylor]: Taking taylor expansion of (* b d) in c
6.233 * [taylor]: Taking taylor expansion of b in c
6.233 * [backup-simplify]: Simplify b into b
6.233 * [taylor]: Taking taylor expansion of d in c
6.233 * [backup-simplify]: Simplify d into d
6.233 * [backup-simplify]: Simplify (* b d) into (* b d)
6.233 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
6.233 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
6.233 * [taylor]: Taking taylor expansion of (* a c) in c
6.233 * [taylor]: Taking taylor expansion of a in c
6.233 * [backup-simplify]: Simplify a into a
6.233 * [taylor]: Taking taylor expansion of c in c
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 1 into 1
6.233 * [backup-simplify]: Simplify (* a 0) into 0
6.234 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
6.234 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
6.234 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
6.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
6.234 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
6.234 * [taylor]: Taking taylor expansion of (pow c 2) in c
6.234 * [taylor]: Taking taylor expansion of c in c
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (* 1 1) into 1
6.234 * [backup-simplify]: Simplify (/ 1 1) into 1
6.234 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
6.234 * [taylor]: Taking taylor expansion of (pow d 2) in c
6.234 * [taylor]: Taking taylor expansion of d in c
6.234 * [backup-simplify]: Simplify d into d
6.234 * [backup-simplify]: Simplify (* d d) into (pow d 2)
6.235 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
6.235 * [backup-simplify]: Simplify (+ 1 0) into 1
6.235 * [backup-simplify]: Simplify (/ 1 1) into 1
6.235 * [backup-simplify]: Simplify (sqrt 1) into 1
6.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify (+ 0 0) into 0
6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.237 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
6.237 * [backup-simplify]: Simplify (* (/ 1 a) 1) into (/ 1 a)
6.237 * [taylor]: Taking taylor expansion of (/ 1 a) in d
6.237 * [taylor]: Taking taylor expansion of a in d
6.237 * [backup-simplify]: Simplify a into a
6.237 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.237 * [taylor]: Taking taylor expansion of (/ 1 a) in a
6.237 * [taylor]: Taking taylor expansion of a in a
6.237 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify 1 into 1
6.238 * [backup-simplify]: Simplify (/ 1 1) into 1
6.238 * [taylor]: Taking taylor expansion of 1 in b
6.238 * [backup-simplify]: Simplify 1 into 1
6.238 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
6.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.238 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
6.238 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (* (/ 1 (* b d)) 1)) into (/ 1 (* b d))
6.238 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
6.238 * [taylor]: Taking taylor expansion of (* b d) in d
6.238 * [taylor]: Taking taylor expansion of b in d
6.238 * [backup-simplify]: Simplify b into b
6.238 * [taylor]: Taking taylor expansion of d in d
6.238 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (* b 0) into 0
6.239 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
6.239 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.239 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
6.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.239 * [taylor]: Taking taylor expansion of 0 in a
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.239 * [taylor]: Taking taylor expansion of 0 in a
6.239 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.240 * [taylor]: Taking taylor expansion of 0 in b
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.241 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
6.242 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
6.243 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
6.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
6.243 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.243 * [backup-simplify]: Simplify (+ 0 0) into 0
6.244 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ -1/2 (pow d 2))) (+ (* (/ 1 (* b d)) 0) (* 0 1))) into (- (* 1/2 (/ 1 (* a (pow d 2)))))
6.244 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d
6.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d
6.244 * [taylor]: Taking taylor expansion of 1/2 in d
6.244 * [backup-simplify]: Simplify 1/2 into 1/2
6.244 * [taylor]: Taking taylor expansion of (/ 1 (* a (pow d 2))) in d
6.244 * [taylor]: Taking taylor expansion of (* a (pow d 2)) in d
6.244 * [taylor]: Taking taylor expansion of a in d
6.244 * [backup-simplify]: Simplify a into a
6.244 * [taylor]: Taking taylor expansion of (pow d 2) in d
6.244 * [taylor]: Taking taylor expansion of d in d
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (* 1 1) into 1
6.244 * [backup-simplify]: Simplify (* a 1) into a
6.244 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
6.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.246 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
6.246 * [backup-simplify]: Simplify (+ (* a 0) (* 0 1)) into 0
6.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
6.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0
6.247 * [backup-simplify]: Simplify (- 0) into 0
6.247 * [taylor]: Taking taylor expansion of 0 in a
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.248 * [taylor]: Taking taylor expansion of 0 in a
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.248 * [taylor]: Taking taylor expansion of 0 in a
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [taylor]: Taking taylor expansion of 0 in b
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [taylor]: Taking taylor expansion of 0 in b
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.248 * [taylor]: Taking taylor expansion of 0 in b
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
6.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
6.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
6.252 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
6.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
6.253 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.253 * [backup-simplify]: Simplify (+ 0 0) into 0
6.253 * [backup-simplify]: Simplify (+ (* (/ 1 a) 0) (+ (* (/ 1 (* b d)) (/ -1/2 (pow d 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (* b (pow d 3)))))
6.254 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d
6.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d
6.254 * [taylor]: Taking taylor expansion of 1/2 in d
6.254 * [backup-simplify]: Simplify 1/2 into 1/2
6.254 * [taylor]: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d
6.254 * [taylor]: Taking taylor expansion of (* b (pow d 3)) in d
6.254 * [taylor]: Taking taylor expansion of b in d
6.254 * [backup-simplify]: Simplify b into b
6.254 * [taylor]: Taking taylor expansion of (pow d 3) in d
6.254 * [taylor]: Taking taylor expansion of d in d
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 1 into 1
6.254 * [backup-simplify]: Simplify (* 1 1) into 1
6.254 * [backup-simplify]: Simplify (* 1 1) into 1
6.254 * [backup-simplify]: Simplify (* b 1) into b
6.254 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.265 * [backup-simplify]: Simplify (+ (* b 0) (* 0 1)) into 0
6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
6.266 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
6.268 * [backup-simplify]: Simplify (- 0) into 0
6.268 * [taylor]: Taking taylor expansion of 0 in a
6.268 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0
6.273 * [backup-simplify]: Simplify (- 0) into 0
6.273 * [taylor]: Taking taylor expansion of 0 in a
6.273 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
6.274 * [taylor]: Taking taylor expansion of 0 in a
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
6.274 * [taylor]: Taking taylor expansion of 0 in a
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [taylor]: Taking taylor expansion of 0 in b
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [taylor]: Taking taylor expansion of 0 in b
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [taylor]: Taking taylor expansion of 0 in b
6.274 * [backup-simplify]: Simplify 0 into 0
6.275 * [taylor]: Taking taylor expansion of 0 in b
6.275 * [backup-simplify]: Simplify 0 into 0
6.275 * [taylor]: Taking taylor expansion of 0 in b
6.275 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.276 * [taylor]: Taking taylor expansion of 0 in b
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 (- a))) (* 1 1)))) into (* -1 a)
6.276 * * * [progress]: simplifying candidates
6.281 * [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)))) (log (+ (* a c) (* b d))))
  (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (exp (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))))
  (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (cbrt (/ (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))) (+ (* a c) (* b d))))
  (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (- (sqrt (+ (* c c) (* d d))))
  (- (+ (* a c) (* b d)))
  (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* 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))))
  (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)
  (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* 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 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)
  (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (sqrt (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)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt 1) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (sqrt (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)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ 1 (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ 1 1)
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ 1 (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) 1)
  (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3)))
  (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d))))
  (* (+ (* a c) (* b d)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))
  (* (+ (* a c) (* b d)) (sqrt (- (* c c) (* d d))))
  (- 1)
  (- (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))
  (- (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (- 0 (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))
  (- 0 (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (- (log 1) (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))
  (- (log 1) (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (log (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (exp (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (* (* 1 1) 1) (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))))
  (/ (* (* 1 1) 1) (* (* (/ (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)))))
  (* (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))
  (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (* (* (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (sqrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (sqrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (- 1)
  (- (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))
  (/ (cbrt 1) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (cbrt 1) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1))
  (/ (cbrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1))
  (/ (cbrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ (cbrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (+ (* a c) (* b d)))))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* c c) (* d d))))
  (/ (cbrt 1) (/ 1 (+ (* a c) (* b d))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))))
  (/ (cbrt 1) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))))
  (/ (cbrt 1) (- (* a c) (* b d)))
  (/ (sqrt 1) (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))
  (/ (sqrt 1) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (sqrt 1) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (sqrt 1) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1))
  (/ (sqrt 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1))
  (/ (sqrt 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt 1) 1))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ (sqrt 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ 1 (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt 1) (/ 1 (+ (* a c) (* b d))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))))
  (/ (sqrt 1) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (/ (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))))
  (/ (sqrt 1) (- (* a c) (* b d)))
  (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))
  (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1))
  (/ 1 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1))
  (/ 1 (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ 1 (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))
  (/ 1 (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))
  (/ 1 (/ 1 (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ 1 1)
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ 1 (/ 1 (+ (* a c) (* b d))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))))
  (/ 1 (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))))
  (/ 1 (- (* a c) (* b d)))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 1)
  (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ 1 (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1))
  (/ 1 (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))))
  (/ 1 (/ 1 (sqrt (+ (* a c) (* b d)))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))))
  (/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))))
  (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) (cbrt 1))
  (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) (sqrt 1))
  (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 1)
  (/ 1 (sqrt (+ (* c c) (* d d))))
  d
  c
  (* -1 c)
  d
  c
  (* -1 c)
  0
  0
  0
  b
  a
  (* -1 a)
6.286 * * [simplify]: iteration 0: 242 enodes
6.389 * * [simplify]: iteration 1: 642 enodes
6.797 * * [simplify]: iteration 2: 3631 enodes
7.537 * * [simplify]: iteration complete: 5001 enodes
7.537 * * [simplify]: Extracting #0: cost 100 inf + 0
7.540 * * [simplify]: Extracting #1: cost 1313 inf + 8
7.545 * * [simplify]: Extracting #2: cost 1691 inf + 103
7.552 * * [simplify]: Extracting #3: cost 1811 inf + 1423
7.564 * * [simplify]: Extracting #4: cost 1255 inf + 8723
7.575 * * [simplify]: Extracting #5: cost 350 inf + 23708
7.586 * * [simplify]: Extracting #6: cost 18 inf + 29504
7.597 * * [simplify]: Extracting #7: cost 0 inf + 29821
7.610 * [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))))
  (pow (sqrt (+ (* c c) (* d d))) 3)
  (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 (+ (pow c 6) (pow d 6)))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1))))
  (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))
  (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))))
  (pow (sqrt (+ (* c c) (* d d))) 3)
  (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 (+ (pow c 6) (pow d 6)))
  (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1))))
  (sqrt (- (pow c (+ 3 1)) (pow d (+ 3 1))))
  (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))) (+ (* a c) (* b d))))
  (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (exp (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 3)
  (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 3)
  (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (- (sqrt (+ (* c c) (* d d))))
  (- (* 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 (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)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
  (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* 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))))
  (fabs (cbrt (+ (* c c) (* d d))))
  (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (sqrt (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)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (/ 1 (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ 1 (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  1
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (sqrt (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)))) (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
  (sqrt (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
  (/ (/ 1 (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
  (/ 1 (sqrt (+ (* a c) (* b d))))
  (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
  1
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ 1 (+ (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b 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)) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3)))
  (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) (- (* a c) (* b d)))
  (* (+ (* a c) (* b d)) (sqrt (+ (* (* d d) (- (* d d) (* c c))) (pow c (+ 3 1)))))
  (* (+ (* a c) (* b d)) (sqrt (* (- c d) (+ c d))))
  -1
  (log (/ (+ (* a c) (* b d)) (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)))))
  (log (/ (+ (* a c) (* b d)) (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)))))
  (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (/ 1 (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 3))
  (/ 1 (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 3))
  (* (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)))))
  (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 3)
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
  -1
  (- (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
  (/ (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (* (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (* (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (+ (* a c) (* b d))
  (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
  (/ 1 (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))))
  (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* a c) (* b d)) (- (* a c) (* b d))))
  (/ 1 (- (* a c) (* b d)))
  (/ (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (* (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (* (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (+ (* a c) (* b d))
  (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
  (/ 1 (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))))
  (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* a c) (* b d)) (- (* a c) (* b d))))
  (/ 1 (- (* a c) (* b d)))
  (/ (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (* (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (cbrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (* (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ (+ (* 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)))
  (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  1
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (+ (* a c) (* b d))
  (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
  (/ 1 (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))))
  (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* a c) (* b d)) (- (* a c) (* b d))))
  (/ 1 (- (* a c) (* b d)))
  (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
  (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
  (/ (/ 1 (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))
  (/ (/ (* 1 (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
  (/ (* 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d)))))
  (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (sqrt (+ (* a c) (* b d)))
  1
  (* (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* a c) (* b d))))
  (/ (* 1 (sqrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
  (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
  (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
  (sqrt (+ (* a c) (* b d)))
  1
  1
  (/ 1 (sqrt (+ (* c c) (* d d))))
  (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
  (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* a c) (* b 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))) (+ (* a c) (* b d)))
  (/ 1 (sqrt (+ (* c c) (* d d))))
  d
  c
  (- c)
  d
  c
  (- c)
  0
  0
  0
  b
  a
  (- a)
7.613 * * * [progress]: adding candidates to table
8.372 * * [progress]: iteration 4 / 4
8.372 * * * [progress]: picking best candidate
8.423 * * * * [pick]: Picked  #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>
8.423 * * * [progress]: localizing error
8.439 * * * [progress]: generating rewritten candidates
8.439 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
8.477 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1)
8.485 * * * [progress]: generating series expansions
8.485 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
8.486 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
8.486 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0
8.486 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
8.486 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.486 * [taylor]: Taking taylor expansion of (* a c) in d
8.486 * [taylor]: Taking taylor expansion of a in d
8.486 * [backup-simplify]: Simplify a into a
8.486 * [taylor]: Taking taylor expansion of c in d
8.486 * [backup-simplify]: Simplify c into c
8.486 * [taylor]: Taking taylor expansion of (* b d) in d
8.486 * [taylor]: Taking taylor expansion of b in d
8.486 * [backup-simplify]: Simplify b into b
8.486 * [taylor]: Taking taylor expansion of d in d
8.486 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify 1 into 1
8.486 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.486 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.486 * [taylor]: Taking taylor expansion of c in d
8.486 * [backup-simplify]: Simplify c into c
8.486 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.486 * [taylor]: Taking taylor expansion of d in d
8.486 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify 1 into 1
8.486 * [backup-simplify]: Simplify (* a c) into (* a c)
8.486 * [backup-simplify]: Simplify (* b 0) into 0
8.486 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
8.486 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.486 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.486 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
8.486 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
8.486 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.486 * [taylor]: Taking taylor expansion of (* a c) in b
8.486 * [taylor]: Taking taylor expansion of a in b
8.486 * [backup-simplify]: Simplify a into a
8.487 * [taylor]: Taking taylor expansion of c in b
8.487 * [backup-simplify]: Simplify c into c
8.487 * [taylor]: Taking taylor expansion of (* b d) in b
8.487 * [taylor]: Taking taylor expansion of b in b
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.487 * [taylor]: Taking taylor expansion of d in b
8.487 * [backup-simplify]: Simplify d into d
8.487 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
8.487 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.487 * [taylor]: Taking taylor expansion of c in b
8.487 * [backup-simplify]: Simplify c into c
8.487 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.487 * [taylor]: Taking taylor expansion of d in b
8.487 * [backup-simplify]: Simplify d into d
8.487 * [backup-simplify]: Simplify (* a c) into (* a c)
8.487 * [backup-simplify]: Simplify (* 0 d) into 0
8.487 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
8.487 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.487 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.487 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.487 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
8.487 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c
8.487 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.487 * [taylor]: Taking taylor expansion of (* a c) in c
8.487 * [taylor]: Taking taylor expansion of a in c
8.487 * [backup-simplify]: Simplify a into a
8.487 * [taylor]: Taking taylor expansion of c in c
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.487 * [taylor]: Taking taylor expansion of (* b d) in c
8.487 * [taylor]: Taking taylor expansion of b in c
8.487 * [backup-simplify]: Simplify b into b
8.487 * [taylor]: Taking taylor expansion of d in c
8.487 * [backup-simplify]: Simplify d into d
8.487 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.487 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.487 * [taylor]: Taking taylor expansion of c in c
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.487 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.487 * [taylor]: Taking taylor expansion of d in c
8.487 * [backup-simplify]: Simplify d into d
8.488 * [backup-simplify]: Simplify (* a 0) into 0
8.488 * [backup-simplify]: Simplify (* b d) into (* b d)
8.488 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.488 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.488 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.488 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
8.488 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
8.488 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.488 * [taylor]: Taking taylor expansion of (* a c) in a
8.488 * [taylor]: Taking taylor expansion of a in a
8.488 * [backup-simplify]: Simplify 0 into 0
8.488 * [backup-simplify]: Simplify 1 into 1
8.488 * [taylor]: Taking taylor expansion of c in a
8.488 * [backup-simplify]: Simplify c into c
8.488 * [taylor]: Taking taylor expansion of (* b d) in a
8.488 * [taylor]: Taking taylor expansion of b in a
8.488 * [backup-simplify]: Simplify b into b
8.488 * [taylor]: Taking taylor expansion of d in a
8.488 * [backup-simplify]: Simplify d into d
8.488 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
8.488 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.488 * [taylor]: Taking taylor expansion of c in a
8.488 * [backup-simplify]: Simplify c into c
8.488 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.488 * [taylor]: Taking taylor expansion of d in a
8.488 * [backup-simplify]: Simplify d into d
8.488 * [backup-simplify]: Simplify (* 0 c) into 0
8.488 * [backup-simplify]: Simplify (* b d) into (* b d)
8.488 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.488 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.488 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.488 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.489 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
8.489 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
8.489 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.489 * [taylor]: Taking taylor expansion of (* a c) in a
8.489 * [taylor]: Taking taylor expansion of a in a
8.489 * [backup-simplify]: Simplify 0 into 0
8.489 * [backup-simplify]: Simplify 1 into 1
8.489 * [taylor]: Taking taylor expansion of c in a
8.489 * [backup-simplify]: Simplify c into c
8.489 * [taylor]: Taking taylor expansion of (* b d) in a
8.489 * [taylor]: Taking taylor expansion of b in a
8.489 * [backup-simplify]: Simplify b into b
8.489 * [taylor]: Taking taylor expansion of d in a
8.489 * [backup-simplify]: Simplify d into d
8.489 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
8.489 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.489 * [taylor]: Taking taylor expansion of c in a
8.489 * [backup-simplify]: Simplify c into c
8.489 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.489 * [taylor]: Taking taylor expansion of d in a
8.489 * [backup-simplify]: Simplify d into d
8.489 * [backup-simplify]: Simplify (* 0 c) into 0
8.489 * [backup-simplify]: Simplify (* b d) into (* b d)
8.489 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.489 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.489 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.489 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.489 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
8.489 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c
8.489 * [taylor]: Taking taylor expansion of (* b d) in c
8.489 * [taylor]: Taking taylor expansion of b in c
8.489 * [backup-simplify]: Simplify b into b
8.489 * [taylor]: Taking taylor expansion of d in c
8.490 * [backup-simplify]: Simplify d into d
8.490 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.490 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.490 * [taylor]: Taking taylor expansion of c in c
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.490 * [taylor]: Taking taylor expansion of d in c
8.490 * [backup-simplify]: Simplify d into d
8.490 * [backup-simplify]: Simplify (* b d) into (* b d)
8.490 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.490 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.490 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
8.490 * [taylor]: Taking taylor expansion of (/ b d) in b
8.490 * [taylor]: Taking taylor expansion of b in b
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [taylor]: Taking taylor expansion of d in b
8.490 * [backup-simplify]: Simplify d into d
8.490 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.491 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.491 * [backup-simplify]: Simplify (+ c 0) into c
8.491 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.491 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [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)))
8.491 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c
8.491 * [taylor]: Taking taylor expansion of c in c
8.491 * [backup-simplify]: Simplify 0 into 0
8.491 * [backup-simplify]: Simplify 1 into 1
8.492 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.492 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.492 * [taylor]: Taking taylor expansion of c in c
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 1 into 1
8.492 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.492 * [taylor]: Taking taylor expansion of d in c
8.492 * [backup-simplify]: Simplify d into d
8.492 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.492 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.492 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.492 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.492 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.492 * [backup-simplify]: Simplify (+ 0 0) into 0
8.492 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0
8.492 * [taylor]: Taking taylor expansion of 0 in b
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [taylor]: Taking taylor expansion of 0 in d
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.493 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.493 * [taylor]: Taking taylor expansion of d in d
8.493 * [backup-simplify]: Simplify 0 into 0
8.493 * [backup-simplify]: Simplify 1 into 1
8.493 * [backup-simplify]: Simplify (/ 1 1) into 1
8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.493 * [backup-simplify]: Simplify 0 into 0
8.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.494 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.494 * [backup-simplify]: Simplify (+ 0 0) into 0
8.495 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.495 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.495 * [backup-simplify]: Simplify (+ 0 0) into 0
8.496 * [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
8.496 * [taylor]: Taking taylor expansion of 0 in c
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [taylor]: Taking taylor expansion of 0 in b
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [taylor]: Taking taylor expansion of 0 in d
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.496 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.496 * [taylor]: Taking taylor expansion of d in b
8.496 * [backup-simplify]: Simplify d into d
8.496 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.496 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.496 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.496 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.496 * [taylor]: Taking taylor expansion of d in d
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [backup-simplify]: Simplify 1 into 1
8.496 * [backup-simplify]: Simplify (* 1 1) into 1
8.497 * [backup-simplify]: Simplify (/ 1 1) into 1
8.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.499 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.499 * [backup-simplify]: Simplify (* 1 1) into 1
8.499 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.500 * [backup-simplify]: Simplify (+ 1 0) into 1
8.500 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3)))
8.500 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b
8.500 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b
8.500 * [taylor]: Taking taylor expansion of b in b
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 1 into 1
8.500 * [taylor]: Taking taylor expansion of (pow d 3) in b
8.500 * [taylor]: Taking taylor expansion of d in b
8.500 * [backup-simplify]: Simplify d into d
8.500 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.500 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3)
8.500 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
8.500 * [taylor]: Taking taylor expansion of 0 in d
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0
8.500 * [taylor]: Taking taylor expansion of 0 in d
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 0 into 0
8.501 * [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))))
8.501 * [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
8.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.501 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.501 * [taylor]: Taking taylor expansion of (* b d) in d
8.501 * [taylor]: Taking taylor expansion of b in d
8.501 * [backup-simplify]: Simplify b into b
8.501 * [taylor]: Taking taylor expansion of d in d
8.501 * [backup-simplify]: Simplify 0 into 0
8.501 * [backup-simplify]: Simplify 1 into 1
8.501 * [backup-simplify]: Simplify (* b 0) into 0
8.501 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.501 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.501 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.501 * [taylor]: Taking taylor expansion of (* a c) in d
8.501 * [taylor]: Taking taylor expansion of a in d
8.501 * [backup-simplify]: Simplify a into a
8.501 * [taylor]: Taking taylor expansion of c in d
8.501 * [backup-simplify]: Simplify c into c
8.501 * [backup-simplify]: Simplify (* a c) into (* a c)
8.501 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.501 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.501 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.501 * [taylor]: Taking taylor expansion of c in d
8.501 * [backup-simplify]: Simplify c into c
8.502 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.502 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.502 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.502 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.502 * [taylor]: Taking taylor expansion of d in d
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [backup-simplify]: Simplify 1 into 1
8.502 * [backup-simplify]: Simplify (* 1 1) into 1
8.502 * [backup-simplify]: Simplify (/ 1 1) into 1
8.502 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
8.502 * [backup-simplify]: Simplify (+ 0 1) into 1
8.502 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
8.503 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.503 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.503 * [taylor]: Taking taylor expansion of (* b d) in b
8.503 * [taylor]: Taking taylor expansion of b in b
8.503 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify 1 into 1
8.503 * [taylor]: Taking taylor expansion of d in b
8.503 * [backup-simplify]: Simplify d into d
8.503 * [backup-simplify]: Simplify (* 0 d) into 0
8.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.503 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.503 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.503 * [taylor]: Taking taylor expansion of (* a c) in b
8.503 * [taylor]: Taking taylor expansion of a in b
8.503 * [backup-simplify]: Simplify a into a
8.503 * [taylor]: Taking taylor expansion of c in b
8.503 * [backup-simplify]: Simplify c into c
8.503 * [backup-simplify]: Simplify (* a c) into (* a c)
8.503 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.503 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.503 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.503 * [taylor]: Taking taylor expansion of c in b
8.503 * [backup-simplify]: Simplify c into c
8.503 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.503 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.503 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.503 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.503 * [taylor]: Taking taylor expansion of d in b
8.503 * [backup-simplify]: Simplify d into d
8.503 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.504 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.504 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
8.504 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.504 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
8.504 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.504 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.504 * [taylor]: Taking taylor expansion of (* b d) in c
8.504 * [taylor]: Taking taylor expansion of b in c
8.504 * [backup-simplify]: Simplify b into b
8.504 * [taylor]: Taking taylor expansion of d in c
8.504 * [backup-simplify]: Simplify d into d
8.504 * [backup-simplify]: Simplify (* b d) into (* b d)
8.504 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.504 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.504 * [taylor]: Taking taylor expansion of (* a c) in c
8.504 * [taylor]: Taking taylor expansion of a in c
8.504 * [backup-simplify]: Simplify a into a
8.504 * [taylor]: Taking taylor expansion of c in c
8.504 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify 1 into 1
8.504 * [backup-simplify]: Simplify (* a 0) into 0
8.505 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.505 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.505 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.505 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.505 * [taylor]: Taking taylor expansion of c in c
8.505 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify 1 into 1
8.505 * [backup-simplify]: Simplify (* 1 1) into 1
8.505 * [backup-simplify]: Simplify (/ 1 1) into 1
8.505 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.505 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.505 * [taylor]: Taking taylor expansion of d in c
8.505 * [backup-simplify]: Simplify d into d
8.505 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.505 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.505 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.506 * [backup-simplify]: Simplify (+ 1 0) into 1
8.506 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
8.506 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.506 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.506 * [taylor]: Taking taylor expansion of (* b d) in a
8.506 * [taylor]: Taking taylor expansion of b in a
8.506 * [backup-simplify]: Simplify b into b
8.506 * [taylor]: Taking taylor expansion of d in a
8.506 * [backup-simplify]: Simplify d into d
8.506 * [backup-simplify]: Simplify (* b d) into (* b d)
8.506 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.506 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.506 * [taylor]: Taking taylor expansion of (* a c) in a
8.506 * [taylor]: Taking taylor expansion of a in a
8.506 * [backup-simplify]: Simplify 0 into 0
8.506 * [backup-simplify]: Simplify 1 into 1
8.506 * [taylor]: Taking taylor expansion of c in a
8.506 * [backup-simplify]: Simplify c into c
8.506 * [backup-simplify]: Simplify (* 0 c) into 0
8.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.506 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.506 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.506 * [taylor]: Taking taylor expansion of c in a
8.506 * [backup-simplify]: Simplify c into c
8.506 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.507 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.507 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.507 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.507 * [taylor]: Taking taylor expansion of d in a
8.507 * [backup-simplify]: Simplify d into d
8.507 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.507 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.507 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.507 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.507 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
8.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.507 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.507 * [taylor]: Taking taylor expansion of (* b d) in a
8.507 * [taylor]: Taking taylor expansion of b in a
8.507 * [backup-simplify]: Simplify b into b
8.507 * [taylor]: Taking taylor expansion of d in a
8.507 * [backup-simplify]: Simplify d into d
8.507 * [backup-simplify]: Simplify (* b d) into (* b d)
8.507 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.507 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.507 * [taylor]: Taking taylor expansion of (* a c) in a
8.507 * [taylor]: Taking taylor expansion of a in a
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 1 into 1
8.507 * [taylor]: Taking taylor expansion of c in a
8.507 * [backup-simplify]: Simplify c into c
8.507 * [backup-simplify]: Simplify (* 0 c) into 0
8.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.508 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.508 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.508 * [taylor]: Taking taylor expansion of c in a
8.508 * [backup-simplify]: Simplify c into c
8.508 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.508 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.508 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.508 * [taylor]: Taking taylor expansion of d in a
8.508 * [backup-simplify]: Simplify d into d
8.508 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.508 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.509 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.509 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.509 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
8.509 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
8.509 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
8.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.509 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.509 * [taylor]: Taking taylor expansion of c in c
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify 1 into 1
8.510 * [backup-simplify]: Simplify (* 1 1) into 1
8.510 * [backup-simplify]: Simplify (/ 1 1) into 1
8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.511 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.511 * [taylor]: Taking taylor expansion of d in c
8.511 * [backup-simplify]: Simplify d into d
8.511 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.511 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.511 * [taylor]: Taking taylor expansion of c in c
8.511 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify 1 into 1
8.511 * [backup-simplify]: Simplify (+ 1 0) into 1
8.512 * [backup-simplify]: Simplify (* 1 0) into 0
8.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify (+ 0 0) into 0
8.514 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
8.514 * [backup-simplify]: Simplify (/ 1 1) into 1
8.514 * [taylor]: Taking taylor expansion of 1 in b
8.515 * [backup-simplify]: Simplify 1 into 1
8.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.516 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.516 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.516 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.517 * [backup-simplify]: Simplify (+ 0 0) into 0
8.518 * [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)))
8.518 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
8.518 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
8.518 * [taylor]: Taking taylor expansion of b in c
8.518 * [backup-simplify]: Simplify b into b
8.518 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
8.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.518 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.518 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.518 * [taylor]: Taking taylor expansion of c in c
8.518 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify 1 into 1
8.519 * [backup-simplify]: Simplify (* 1 1) into 1
8.519 * [backup-simplify]: Simplify (/ 1 1) into 1
8.519 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.519 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.519 * [taylor]: Taking taylor expansion of d in c
8.519 * [backup-simplify]: Simplify d into d
8.519 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.519 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.519 * [taylor]: Taking taylor expansion of d in c
8.519 * [backup-simplify]: Simplify d into d
8.520 * [backup-simplify]: Simplify (+ 1 0) into 1
8.520 * [backup-simplify]: Simplify (* 1 d) into d
8.520 * [backup-simplify]: Simplify (* b d) into (* b d)
8.520 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.522 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
8.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.524 * [taylor]: Taking taylor expansion of 0 in b
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [taylor]: Taking taylor expansion of 1 in d
8.524 * [backup-simplify]: Simplify 1 into 1
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.526 * [backup-simplify]: Simplify (+ 0 0) into 0
8.526 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.527 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.528 * [backup-simplify]: Simplify (+ 0 0) into 0
8.530 * [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
8.530 * [taylor]: Taking taylor expansion of 0 in c
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [taylor]: Taking taylor expansion of 0 in b
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.530 * [taylor]: Taking taylor expansion of (* b d) in b
8.530 * [taylor]: Taking taylor expansion of b in b
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 1 into 1
8.530 * [taylor]: Taking taylor expansion of d in b
8.530 * [backup-simplify]: Simplify d into d
8.530 * [backup-simplify]: Simplify (* 0 d) into 0
8.530 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.530 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.531 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.531 * [taylor]: Taking taylor expansion of d in d
8.531 * [backup-simplify]: Simplify 0 into 0
8.531 * [backup-simplify]: Simplify 1 into 1
8.531 * [backup-simplify]: Simplify (/ 1 1) into 1
8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.535 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.536 * [backup-simplify]: Simplify (+ 0 0) into 0
8.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
8.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
8.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
8.538 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.538 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.538 * [taylor]: Taking taylor expansion of d in b
8.538 * [backup-simplify]: Simplify d into d
8.538 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.538 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.538 * [taylor]: Taking taylor expansion of 0 in d
8.538 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify 0 into 0
8.538 * [taylor]: Taking taylor expansion of 0 in d
8.538 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify 0 into 0
8.539 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.541 * [backup-simplify]: Simplify (+ 0 0) into 0
8.542 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
8.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.544 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.545 * [backup-simplify]: Simplify (+ 0 0) into 0
8.547 * [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
8.547 * [taylor]: Taking taylor expansion of 0 in c
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [taylor]: Taking taylor expansion of 0 in b
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [taylor]: Taking taylor expansion of 0 in b
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.548 * [backup-simplify]: Simplify (+ 0 0) into 0
8.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
8.549 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.549 * [taylor]: Taking taylor expansion of 0 in b
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.550 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.551 * [backup-simplify]: Simplify (+ 0 0) into 0
8.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
8.553 * [taylor]: Taking taylor expansion of 0 in b
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [taylor]: Taking taylor expansion of 0 in d
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [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))))
8.553 * [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
8.553 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.553 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.553 * [taylor]: Taking taylor expansion of (* b d) in d
8.553 * [taylor]: Taking taylor expansion of b in d
8.553 * [backup-simplify]: Simplify b into b
8.553 * [taylor]: Taking taylor expansion of d in d
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [backup-simplify]: Simplify (* b 0) into 0
8.553 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.553 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.553 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.553 * [taylor]: Taking taylor expansion of (* a c) in d
8.553 * [taylor]: Taking taylor expansion of a in d
8.554 * [backup-simplify]: Simplify a into a
8.554 * [taylor]: Taking taylor expansion of c in d
8.554 * [backup-simplify]: Simplify c into c
8.554 * [backup-simplify]: Simplify (* a c) into (* a c)
8.554 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.554 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.554 * [taylor]: Taking taylor expansion of c in d
8.554 * [backup-simplify]: Simplify c into c
8.554 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.554 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.554 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.554 * [taylor]: Taking taylor expansion of d in d
8.554 * [backup-simplify]: Simplify 0 into 0
8.554 * [backup-simplify]: Simplify 1 into 1
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (/ 1 1) into 1
8.554 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
8.555 * [backup-simplify]: Simplify (+ 0 1) into 1
8.555 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
8.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.555 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.555 * [taylor]: Taking taylor expansion of (* b d) in b
8.555 * [taylor]: Taking taylor expansion of b in b
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 1 into 1
8.555 * [taylor]: Taking taylor expansion of d in b
8.555 * [backup-simplify]: Simplify d into d
8.555 * [backup-simplify]: Simplify (* 0 d) into 0
8.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.555 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.555 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.555 * [taylor]: Taking taylor expansion of (* a c) in b
8.555 * [taylor]: Taking taylor expansion of a in b
8.555 * [backup-simplify]: Simplify a into a
8.555 * [taylor]: Taking taylor expansion of c in b
8.555 * [backup-simplify]: Simplify c into c
8.555 * [backup-simplify]: Simplify (* a c) into (* a c)
8.555 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.555 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.555 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.555 * [taylor]: Taking taylor expansion of c in b
8.555 * [backup-simplify]: Simplify c into c
8.556 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.556 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.556 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.556 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.556 * [taylor]: Taking taylor expansion of d in b
8.556 * [backup-simplify]: Simplify d into d
8.556 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.556 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.556 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
8.556 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.556 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
8.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.556 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.556 * [taylor]: Taking taylor expansion of (* b d) in c
8.556 * [taylor]: Taking taylor expansion of b in c
8.556 * [backup-simplify]: Simplify b into b
8.556 * [taylor]: Taking taylor expansion of d in c
8.556 * [backup-simplify]: Simplify d into d
8.556 * [backup-simplify]: Simplify (* b d) into (* b d)
8.556 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.556 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.556 * [taylor]: Taking taylor expansion of (* a c) in c
8.556 * [taylor]: Taking taylor expansion of a in c
8.556 * [backup-simplify]: Simplify a into a
8.556 * [taylor]: Taking taylor expansion of c in c
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.557 * [backup-simplify]: Simplify (* a 0) into 0
8.557 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.557 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.557 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.557 * [taylor]: Taking taylor expansion of c in c
8.557 * [backup-simplify]: Simplify 0 into 0
8.557 * [backup-simplify]: Simplify 1 into 1
8.557 * [backup-simplify]: Simplify (* 1 1) into 1
8.557 * [backup-simplify]: Simplify (/ 1 1) into 1
8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.557 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.557 * [taylor]: Taking taylor expansion of d in c
8.557 * [backup-simplify]: Simplify d into d
8.557 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.558 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.558 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.558 * [backup-simplify]: Simplify (+ 1 0) into 1
8.558 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
8.558 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.558 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.558 * [taylor]: Taking taylor expansion of (* b d) in a
8.558 * [taylor]: Taking taylor expansion of b in a
8.558 * [backup-simplify]: Simplify b into b
8.558 * [taylor]: Taking taylor expansion of d in a
8.558 * [backup-simplify]: Simplify d into d
8.558 * [backup-simplify]: Simplify (* b d) into (* b d)
8.558 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.558 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.558 * [taylor]: Taking taylor expansion of (* a c) in a
8.558 * [taylor]: Taking taylor expansion of a in a
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [taylor]: Taking taylor expansion of c in a
8.558 * [backup-simplify]: Simplify c into c
8.558 * [backup-simplify]: Simplify (* 0 c) into 0
8.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.559 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.559 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.559 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.559 * [taylor]: Taking taylor expansion of c in a
8.559 * [backup-simplify]: Simplify c into c
8.559 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.559 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.559 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.559 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.559 * [taylor]: Taking taylor expansion of d in a
8.559 * [backup-simplify]: Simplify d into d
8.559 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.559 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.559 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.559 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.559 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
8.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.559 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.560 * [taylor]: Taking taylor expansion of (* b d) in a
8.560 * [taylor]: Taking taylor expansion of b in a
8.560 * [backup-simplify]: Simplify b into b
8.560 * [taylor]: Taking taylor expansion of d in a
8.560 * [backup-simplify]: Simplify d into d
8.560 * [backup-simplify]: Simplify (* b d) into (* b d)
8.560 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.560 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.560 * [taylor]: Taking taylor expansion of (* a c) in a
8.560 * [taylor]: Taking taylor expansion of a in a
8.560 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify 1 into 1
8.560 * [taylor]: Taking taylor expansion of c in a
8.560 * [backup-simplify]: Simplify c into c
8.560 * [backup-simplify]: Simplify (* 0 c) into 0
8.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.560 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.560 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.560 * [taylor]: Taking taylor expansion of c in a
8.560 * [backup-simplify]: Simplify c into c
8.560 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.560 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.560 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.560 * [taylor]: Taking taylor expansion of d in a
8.560 * [backup-simplify]: Simplify d into d
8.560 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.561 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.561 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.561 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.561 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
8.561 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
8.561 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
8.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.561 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.561 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.561 * [taylor]: Taking taylor expansion of c in c
8.561 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify 1 into 1
8.561 * [backup-simplify]: Simplify (* 1 1) into 1
8.562 * [backup-simplify]: Simplify (/ 1 1) into 1
8.562 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.562 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.562 * [taylor]: Taking taylor expansion of d in c
8.562 * [backup-simplify]: Simplify d into d
8.562 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.562 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.562 * [taylor]: Taking taylor expansion of c in c
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 1 into 1
8.562 * [backup-simplify]: Simplify (+ 1 0) into 1
8.562 * [backup-simplify]: Simplify (* 1 0) into 0
8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.563 * [backup-simplify]: Simplify (+ 0 0) into 0
8.564 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
8.564 * [backup-simplify]: Simplify (/ 1 1) into 1
8.564 * [taylor]: Taking taylor expansion of 1 in b
8.564 * [backup-simplify]: Simplify 1 into 1
8.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.565 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.565 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.565 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.565 * [backup-simplify]: Simplify (+ 0 0) into 0
8.566 * [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)))
8.566 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
8.566 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
8.566 * [taylor]: Taking taylor expansion of b in c
8.566 * [backup-simplify]: Simplify b into b
8.566 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
8.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow c 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 * [backup-simplify]: Simplify (* 1 1) into 1
8.567 * [backup-simplify]: Simplify (/ 1 1) into 1
8.567 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
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 (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.567 * [taylor]: Taking taylor expansion of d in c
8.567 * [backup-simplify]: Simplify d into d
8.567 * [backup-simplify]: Simplify (+ 1 0) into 1
8.567 * [backup-simplify]: Simplify (* 1 d) into d
8.567 * [backup-simplify]: Simplify (* b d) into (* b d)
8.567 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.569 * [taylor]: Taking taylor expansion of 0 in b
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [taylor]: Taking taylor expansion of 1 in d
8.570 * [backup-simplify]: Simplify 1 into 1
8.570 * [backup-simplify]: Simplify 0 into 0
8.570 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.571 * [backup-simplify]: Simplify (+ 0 0) into 0
8.571 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.575 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.575 * [backup-simplify]: Simplify (+ 0 0) into 0
8.576 * [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
8.576 * [taylor]: Taking taylor expansion of 0 in c
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [taylor]: Taking taylor expansion of 0 in b
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.576 * [taylor]: Taking taylor expansion of (* b d) in b
8.576 * [taylor]: Taking taylor expansion of b in b
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify 1 into 1
8.576 * [taylor]: Taking taylor expansion of d in b
8.576 * [backup-simplify]: Simplify d into d
8.576 * [backup-simplify]: Simplify (* 0 d) into 0
8.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.577 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.577 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.577 * [taylor]: Taking taylor expansion of d in d
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 1 into 1
8.577 * [backup-simplify]: Simplify (/ 1 1) into 1
8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.579 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.580 * [backup-simplify]: Simplify (+ 0 0) into 0
8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
8.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
8.581 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.581 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.581 * [taylor]: Taking taylor expansion of d in b
8.581 * [backup-simplify]: Simplify d into d
8.581 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.581 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.581 * [taylor]: Taking taylor expansion of 0 in d
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [taylor]: Taking taylor expansion of 0 in d
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 0 into 0
8.581 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.583 * [backup-simplify]: Simplify (+ 0 0) into 0
8.584 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
8.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.585 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.585 * [backup-simplify]: Simplify (+ 0 0) into 0
8.586 * [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
8.586 * [taylor]: Taking taylor expansion of 0 in c
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [taylor]: Taking taylor expansion of 0 in b
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [taylor]: Taking taylor expansion of 0 in b
8.586 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.587 * [backup-simplify]: Simplify (+ 0 0) into 0
8.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
8.588 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.588 * [taylor]: Taking taylor expansion of 0 in b
8.588 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.591 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.592 * [backup-simplify]: Simplify (+ 0 0) into 0
8.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
8.595 * [taylor]: Taking taylor expansion of 0 in b
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [taylor]: Taking taylor expansion of 0 in d
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1)
8.595 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
8.595 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
8.595 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.595 * [taylor]: Taking taylor expansion of (* a c) in d
8.595 * [taylor]: Taking taylor expansion of a in d
8.595 * [backup-simplify]: Simplify a into a
8.595 * [taylor]: Taking taylor expansion of c in d
8.595 * [backup-simplify]: Simplify c into c
8.595 * [taylor]: Taking taylor expansion of (* b d) in d
8.595 * [taylor]: Taking taylor expansion of b in d
8.595 * [backup-simplify]: Simplify b into b
8.595 * [taylor]: Taking taylor expansion of d in d
8.595 * [backup-simplify]: Simplify 0 into 0
8.595 * [backup-simplify]: Simplify 1 into 1
8.595 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.595 * [taylor]: Taking taylor expansion of (* a c) in b
8.595 * [taylor]: Taking taylor expansion of a in b
8.595 * [backup-simplify]: Simplify a into a
8.595 * [taylor]: Taking taylor expansion of c in b
8.595 * [backup-simplify]: Simplify c into c
8.595 * [taylor]: Taking taylor expansion of (* b d) in b
8.596 * [taylor]: Taking taylor expansion of b in b
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of d in b
8.596 * [backup-simplify]: Simplify d into d
8.596 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.596 * [taylor]: Taking taylor expansion of (* a c) in c
8.596 * [taylor]: Taking taylor expansion of a in c
8.596 * [backup-simplify]: Simplify a into a
8.596 * [taylor]: Taking taylor expansion of c in c
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of (* b d) in c
8.596 * [taylor]: Taking taylor expansion of b in c
8.596 * [backup-simplify]: Simplify b into b
8.596 * [taylor]: Taking taylor expansion of d in c
8.596 * [backup-simplify]: Simplify d into d
8.596 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.596 * [taylor]: Taking taylor expansion of (* a c) in a
8.596 * [taylor]: Taking taylor expansion of a in a
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of c in a
8.596 * [backup-simplify]: Simplify c into c
8.596 * [taylor]: Taking taylor expansion of (* b d) in a
8.596 * [taylor]: Taking taylor expansion of b in a
8.596 * [backup-simplify]: Simplify b into b
8.596 * [taylor]: Taking taylor expansion of d in a
8.596 * [backup-simplify]: Simplify d into d
8.596 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.596 * [taylor]: Taking taylor expansion of (* a c) in a
8.596 * [taylor]: Taking taylor expansion of a in a
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of c in a
8.596 * [backup-simplify]: Simplify c into c
8.596 * [taylor]: Taking taylor expansion of (* b d) in a
8.596 * [taylor]: Taking taylor expansion of b in a
8.596 * [backup-simplify]: Simplify b into b
8.596 * [taylor]: Taking taylor expansion of d in a
8.597 * [backup-simplify]: Simplify d into d
8.597 * [backup-simplify]: Simplify (* 0 c) into 0
8.597 * [backup-simplify]: Simplify (* b d) into (* b d)
8.597 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.597 * [taylor]: Taking taylor expansion of (* b d) in c
8.597 * [taylor]: Taking taylor expansion of b in c
8.597 * [backup-simplify]: Simplify b into b
8.597 * [taylor]: Taking taylor expansion of d in c
8.597 * [backup-simplify]: Simplify d into d
8.597 * [backup-simplify]: Simplify (* b d) into (* b d)
8.597 * [taylor]: Taking taylor expansion of (* b d) in b
8.597 * [taylor]: Taking taylor expansion of b in b
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [taylor]: Taking taylor expansion of d in b
8.597 * [backup-simplify]: Simplify d into d
8.597 * [backup-simplify]: Simplify (* 0 d) into 0
8.597 * [taylor]: Taking taylor expansion of 0 in d
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.598 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.598 * [backup-simplify]: Simplify (+ c 0) into 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 * [taylor]: Taking taylor expansion of 0 in b
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [taylor]: Taking taylor expansion of 0 in d
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.598 * [taylor]: Taking taylor expansion of 0 in b
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [taylor]: Taking taylor expansion of 0 in d
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 0 into 0
8.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.599 * [taylor]: Taking taylor expansion of d in d
8.599 * [backup-simplify]: Simplify 0 into 0
8.599 * [backup-simplify]: Simplify 1 into 1
8.599 * [backup-simplify]: Simplify 0 into 0
8.599 * [backup-simplify]: Simplify 0 into 0
8.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.600 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.601 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [taylor]: Taking taylor expansion of 0 in c
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [taylor]: Taking taylor expansion of 0 in b
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [taylor]: Taking taylor expansion of 0 in d
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.601 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.601 * [taylor]: Taking taylor expansion of (* b d) in d
8.601 * [taylor]: Taking taylor expansion of b in d
8.601 * [backup-simplify]: Simplify b into b
8.601 * [taylor]: Taking taylor expansion of d in d
8.601 * [backup-simplify]: Simplify 0 into 0
8.601 * [backup-simplify]: Simplify 1 into 1
8.601 * [backup-simplify]: Simplify (* b 0) into 0
8.602 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.602 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.602 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.602 * [taylor]: Taking taylor expansion of (* a c) in d
8.602 * [taylor]: Taking taylor expansion of a in d
8.602 * [backup-simplify]: Simplify a into a
8.602 * [taylor]: Taking taylor expansion of c in d
8.602 * [backup-simplify]: Simplify c into c
8.602 * [backup-simplify]: Simplify (* a c) into (* a c)
8.602 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.602 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.602 * [taylor]: Taking taylor expansion of (* b d) in b
8.602 * [taylor]: Taking taylor expansion of b in b
8.602 * [backup-simplify]: Simplify 0 into 0
8.602 * [backup-simplify]: Simplify 1 into 1
8.602 * [taylor]: Taking taylor expansion of d in b
8.602 * [backup-simplify]: Simplify d into d
8.602 * [backup-simplify]: Simplify (* 0 d) into 0
8.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.603 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.603 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.603 * [taylor]: Taking taylor expansion of (* a c) in b
8.603 * [taylor]: Taking taylor expansion of a in b
8.603 * [backup-simplify]: Simplify a into a
8.603 * [taylor]: Taking taylor expansion of c in b
8.603 * [backup-simplify]: Simplify c into c
8.603 * [backup-simplify]: Simplify (* a c) into (* a c)
8.603 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.603 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.603 * [taylor]: Taking taylor expansion of (* b d) in c
8.603 * [taylor]: Taking taylor expansion of b in c
8.603 * [backup-simplify]: Simplify b into b
8.603 * [taylor]: Taking taylor expansion of d in c
8.603 * [backup-simplify]: Simplify d into d
8.604 * [backup-simplify]: Simplify (* b d) into (* b d)
8.604 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.604 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.604 * [taylor]: Taking taylor expansion of (* a c) in c
8.604 * [taylor]: Taking taylor expansion of a in c
8.604 * [backup-simplify]: Simplify a into a
8.604 * [taylor]: Taking taylor expansion of c in c
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 1 into 1
8.604 * [backup-simplify]: Simplify (* a 0) into 0
8.604 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.604 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.604 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.604 * [taylor]: Taking taylor expansion of (* b d) in a
8.604 * [taylor]: Taking taylor expansion of b in a
8.605 * [backup-simplify]: Simplify b into b
8.605 * [taylor]: Taking taylor expansion of d in a
8.605 * [backup-simplify]: Simplify d into d
8.605 * [backup-simplify]: Simplify (* b d) into (* b d)
8.605 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.605 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.605 * [taylor]: Taking taylor expansion of (* a c) in a
8.605 * [taylor]: Taking taylor expansion of a in a
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 1 into 1
8.605 * [taylor]: Taking taylor expansion of c in a
8.605 * [backup-simplify]: Simplify c into c
8.605 * [backup-simplify]: Simplify (* 0 c) into 0
8.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.605 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.605 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.606 * [taylor]: Taking taylor expansion of (* b d) in a
8.606 * [taylor]: Taking taylor expansion of b in a
8.606 * [backup-simplify]: Simplify b into b
8.606 * [taylor]: Taking taylor expansion of d in a
8.606 * [backup-simplify]: Simplify d into d
8.606 * [backup-simplify]: Simplify (* b d) into (* b d)
8.606 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.606 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.606 * [taylor]: Taking taylor expansion of (* a c) in a
8.606 * [taylor]: Taking taylor expansion of a in a
8.606 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify 1 into 1
8.606 * [taylor]: Taking taylor expansion of c in a
8.606 * [backup-simplify]: Simplify c into c
8.606 * [backup-simplify]: Simplify (* 0 c) into 0
8.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.606 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.607 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.607 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.607 * [taylor]: Taking taylor expansion of c in c
8.607 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify 1 into 1
8.607 * [backup-simplify]: Simplify (/ 1 1) into 1
8.607 * [taylor]: Taking taylor expansion of 1 in b
8.607 * [backup-simplify]: Simplify 1 into 1
8.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.608 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.608 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.608 * [taylor]: Taking taylor expansion of (* b d) in c
8.608 * [taylor]: Taking taylor expansion of b in c
8.608 * [backup-simplify]: Simplify b into b
8.608 * [taylor]: Taking taylor expansion of d in c
8.608 * [backup-simplify]: Simplify d into d
8.609 * [backup-simplify]: Simplify (* b d) into (* b d)
8.609 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.609 * [taylor]: Taking taylor expansion of 0 in b
8.609 * [backup-simplify]: Simplify 0 into 0
8.610 * [taylor]: Taking taylor expansion of 1 in d
8.610 * [backup-simplify]: Simplify 1 into 1
8.610 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.612 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [taylor]: Taking taylor expansion of 0 in c
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.612 * [taylor]: Taking taylor expansion of (* b d) in b
8.612 * [taylor]: Taking taylor expansion of b in b
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [taylor]: Taking taylor expansion of d in b
8.612 * [backup-simplify]: Simplify d into d
8.612 * [backup-simplify]: Simplify (* 0 d) into 0
8.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.612 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.612 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.612 * [taylor]: Taking taylor expansion of d in d
8.612 * [backup-simplify]: Simplify 0 into 0
8.613 * [backup-simplify]: Simplify 1 into 1
8.613 * [backup-simplify]: Simplify (/ 1 1) into 1
8.613 * [backup-simplify]: Simplify 1 into 1
8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.614 * [taylor]: Taking taylor expansion of 0 in b
8.614 * [backup-simplify]: Simplify 0 into 0
8.614 * [taylor]: Taking taylor expansion of 0 in d
8.614 * [backup-simplify]: Simplify 0 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 1 into 1
8.615 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.617 * [backup-simplify]: Simplify (+ 0 0) into 0
8.617 * [taylor]: Taking taylor expansion of 0 in c
8.617 * [backup-simplify]: Simplify 0 into 0
8.617 * [taylor]: Taking taylor expansion of 0 in b
8.617 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.618 * [taylor]: Taking taylor expansion of 0 in b
8.618 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.619 * [taylor]: Taking taylor expansion of 0 in b
8.619 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.620 * [taylor]: Taking taylor expansion of 0 in d
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in d
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in d
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in d
8.620 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.624 * [backup-simplify]: Simplify (+ 0 0) into 0
8.624 * [taylor]: Taking taylor expansion of 0 in c
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [taylor]: Taking taylor expansion of 0 in b
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [taylor]: Taking taylor expansion of 0 in b
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.624 * [taylor]: Taking taylor expansion of 0 in b
8.624 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.625 * [taylor]: Taking taylor expansion of 0 in b
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [taylor]: Taking taylor expansion of 0 in d
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [taylor]: Taking taylor expansion of 0 in d
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [taylor]: Taking taylor expansion of 0 in d
8.625 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.626 * [taylor]: Taking taylor expansion of 0 in d
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [taylor]: Taking taylor expansion of 0 in d
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [taylor]: Taking taylor expansion of 0 in d
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [taylor]: Taking taylor expansion of 0 in d
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [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))
8.627 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.627 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.627 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.627 * [taylor]: Taking taylor expansion of (* b d) in d
8.627 * [taylor]: Taking taylor expansion of b in d
8.627 * [backup-simplify]: Simplify b into b
8.627 * [taylor]: Taking taylor expansion of d in d
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 1 into 1
8.627 * [backup-simplify]: Simplify (* b 0) into 0
8.627 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.627 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.627 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.627 * [taylor]: Taking taylor expansion of (* a c) in d
8.627 * [taylor]: Taking taylor expansion of a in d
8.627 * [backup-simplify]: Simplify a into a
8.627 * [taylor]: Taking taylor expansion of c in d
8.627 * [backup-simplify]: Simplify c into c
8.627 * [backup-simplify]: Simplify (* a c) into (* a c)
8.627 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.627 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.627 * [taylor]: Taking taylor expansion of (* b d) in b
8.627 * [taylor]: Taking taylor expansion of b in b
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 1 into 1
8.627 * [taylor]: Taking taylor expansion of d in b
8.627 * [backup-simplify]: Simplify d into d
8.627 * [backup-simplify]: Simplify (* 0 d) into 0
8.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.628 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.628 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.628 * [taylor]: Taking taylor expansion of (* a c) in b
8.628 * [taylor]: Taking taylor expansion of a in b
8.628 * [backup-simplify]: Simplify a into a
8.628 * [taylor]: Taking taylor expansion of c in b
8.628 * [backup-simplify]: Simplify c into c
8.628 * [backup-simplify]: Simplify (* a c) into (* a c)
8.628 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.628 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.628 * [taylor]: Taking taylor expansion of (* b d) in c
8.628 * [taylor]: Taking taylor expansion of b in c
8.628 * [backup-simplify]: Simplify b into b
8.628 * [taylor]: Taking taylor expansion of d in c
8.628 * [backup-simplify]: Simplify d into d
8.628 * [backup-simplify]: Simplify (* b d) into (* b d)
8.628 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.628 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.628 * [taylor]: Taking taylor expansion of (* a c) in c
8.628 * [taylor]: Taking taylor expansion of a in c
8.628 * [backup-simplify]: Simplify a into a
8.628 * [taylor]: Taking taylor expansion of c in c
8.628 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify 1 into 1
8.628 * [backup-simplify]: Simplify (* a 0) into 0
8.628 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.628 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.628 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.628 * [taylor]: Taking taylor expansion of (* b d) in a
8.628 * [taylor]: Taking taylor expansion of b in a
8.628 * [backup-simplify]: Simplify b into b
8.629 * [taylor]: Taking taylor expansion of d in a
8.629 * [backup-simplify]: Simplify d into d
8.629 * [backup-simplify]: Simplify (* b d) into (* b d)
8.629 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.629 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.629 * [taylor]: Taking taylor expansion of (* a c) in a
8.629 * [taylor]: Taking taylor expansion of a in a
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 1 into 1
8.629 * [taylor]: Taking taylor expansion of c in a
8.629 * [backup-simplify]: Simplify c into c
8.629 * [backup-simplify]: Simplify (* 0 c) into 0
8.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.629 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.629 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.629 * [taylor]: Taking taylor expansion of (* b d) in a
8.629 * [taylor]: Taking taylor expansion of b in a
8.629 * [backup-simplify]: Simplify b into b
8.629 * [taylor]: Taking taylor expansion of d in a
8.629 * [backup-simplify]: Simplify d into d
8.629 * [backup-simplify]: Simplify (* b d) into (* b d)
8.629 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.629 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.629 * [taylor]: Taking taylor expansion of (* a c) in a
8.629 * [taylor]: Taking taylor expansion of a in a
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 1 into 1
8.629 * [taylor]: Taking taylor expansion of c in a
8.629 * [backup-simplify]: Simplify c into c
8.629 * [backup-simplify]: Simplify (* 0 c) into 0
8.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.630 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.630 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.630 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.630 * [taylor]: Taking taylor expansion of c in c
8.630 * [backup-simplify]: Simplify 0 into 0
8.630 * [backup-simplify]: Simplify 1 into 1
8.630 * [backup-simplify]: Simplify (/ 1 1) into 1
8.630 * [taylor]: Taking taylor expansion of 1 in b
8.630 * [backup-simplify]: Simplify 1 into 1
8.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.631 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.631 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.631 * [taylor]: Taking taylor expansion of (* b d) in c
8.631 * [taylor]: Taking taylor expansion of b in c
8.631 * [backup-simplify]: Simplify b into b
8.631 * [taylor]: Taking taylor expansion of d in c
8.631 * [backup-simplify]: Simplify d into d
8.631 * [backup-simplify]: Simplify (* b d) into (* b d)
8.631 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.631 * [taylor]: Taking taylor expansion of 0 in b
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [taylor]: Taking taylor expansion of 1 in d
8.631 * [backup-simplify]: Simplify 1 into 1
8.631 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.633 * [backup-simplify]: Simplify (+ 0 0) into 0
8.633 * [taylor]: Taking taylor expansion of 0 in c
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.633 * [taylor]: Taking taylor expansion of (* b d) in b
8.633 * [taylor]: Taking taylor expansion of b in b
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [taylor]: Taking taylor expansion of d in b
8.633 * [backup-simplify]: Simplify d into d
8.633 * [backup-simplify]: Simplify (* 0 d) into 0
8.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.633 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.633 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.633 * [taylor]: Taking taylor expansion of d in d
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.633 * [backup-simplify]: Simplify 1 into 1
8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.634 * [taylor]: Taking taylor expansion of 0 in b
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [taylor]: Taking taylor expansion of 0 in d
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [taylor]: Taking taylor expansion of 0 in d
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.635 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.636 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [taylor]: Taking taylor expansion of 0 in c
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [taylor]: Taking taylor expansion of 0 in b
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.636 * [taylor]: Taking taylor expansion of 0 in b
8.636 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.637 * [taylor]: Taking taylor expansion of 0 in b
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.638 * [taylor]: Taking taylor expansion of 0 in d
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [taylor]: Taking taylor expansion of 0 in d
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [taylor]: Taking taylor expansion of 0 in d
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [taylor]: Taking taylor expansion of 0 in d
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.641 * [backup-simplify]: Simplify (+ 0 0) into 0
8.641 * [taylor]: Taking taylor expansion of 0 in c
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [taylor]: Taking taylor expansion of 0 in b
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [taylor]: Taking taylor expansion of 0 in b
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.642 * [taylor]: Taking taylor expansion of 0 in b
8.642 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.643 * [taylor]: Taking taylor expansion of 0 in b
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [taylor]: Taking taylor expansion of 0 in d
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [taylor]: Taking taylor expansion of 0 in d
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [taylor]: Taking taylor expansion of 0 in d
8.643 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.644 * [taylor]: Taking taylor expansion of 0 in d
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [taylor]: Taking taylor expansion of 0 in d
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [taylor]: Taking taylor expansion of 0 in d
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [taylor]: Taking taylor expansion of 0 in d
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.645 * [backup-simplify]: Simplify 0 into 0
8.646 * [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))
8.646 * * * [progress]: simplifying candidates
8.647 * [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))
8.649 * * [simplify]: iteration 0: 83 enodes
8.670 * * [simplify]: iteration 1: 235 enodes
8.735 * * [simplify]: iteration 2: 925 enodes
9.303 * * [simplify]: iteration 3: 4513 enodes
10.167 * * [simplify]: iteration complete: 5000 enodes
10.167 * * [simplify]: Extracting #0: cost 44 inf + 0
10.168 * * [simplify]: Extracting #1: cost 488 inf + 2
10.170 * * [simplify]: Extracting #2: cost 1220 inf + 3
10.179 * * [simplify]: Extracting #3: cost 1470 inf + 103
10.190 * * [simplify]: Extracting #4: cost 1164 inf + 3860
10.198 * * [simplify]: Extracting #5: cost 323 inf + 18787
10.203 * * [simplify]: Extracting #6: cost 13 inf + 25475
10.208 * * [simplify]: Extracting #7: cost 0 inf + 25772
10.213 * [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))))
  (pow (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 3)
  (* (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))))
  (pow (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 3)
  (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 (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
  (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
  (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))
  (/ (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)) (+ (pow d 6) (pow c 6)))
  (/ (+ (* b d) (* a c)) (- (pow c 4) (pow d 4)))
  (* (+ (* (* a (* c c)) a) (* (* 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)))
  (pow (+ (* b d) (* a c)) 3)
  (sqrt (+ (* b d) (* a c)))
  (sqrt (+ (* b d) (* a c)))
  (+ (pow (* a c) 3) (pow (* b d) 3))
  (+ (* (* a (* c c)) a) (* (* b d) (- (* b d) (* a c))))
  (- (* (* a (* c c)) a) (* (* b (* d d)) b))
  (- (* a c) (* b d))
  0
  0
  0
  0
  (+ (* b d) (* a c))
  (+ (* b d) (* a c))
10.214 * * * [progress]: adding candidates to table
10.445 * [progress]: [Phase 3 of 3] Extracting.
10.445 * * [regime]: Finding splitpoints for: (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
10.449 * * * [regime-changes]: Trying 5 branch expressions: ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) d c b a)
10.449 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
10.544 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>)
10.577 * * * * [regimes]: Trying to branch on d from (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
10.686 * * * * [regimes]: Trying to branch on c from (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
10.795 * * * * [regimes]: Trying to branch on b from (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
10.920 * * * * [regimes]: Trying to branch on a from (#<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 3))))> #<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) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))> #<alt (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 0))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (cbrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (pow (sqrt (sqrt (+ (* c c) (* d d)))) 3))))> #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>)
11.033 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
11.033 * [simplify]: Simplifying:
  (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))
11.033 * * [simplify]: iteration 0: 15 enodes
11.034 * * [simplify]: iteration 1: 21 enodes
11.035 * * [simplify]: iteration complete: 21 enodes
11.035 * * [simplify]: Extracting #0: cost 1 inf + 0
11.035 * * [simplify]: Extracting #1: cost 3 inf + 0
11.035 * * [simplify]: Extracting #2: cost 6 inf + 0
11.035 * * [simplify]: Extracting #3: cost 8 inf + 1
11.035 * * [simplify]: Extracting #4: cost 12 inf + 1
11.035 * * [simplify]: Extracting #5: cost 12 inf + 3
11.035 * * [simplify]: Extracting #6: cost 7 inf + 18
11.035 * * [simplify]: Extracting #7: cost 3 inf + 39
11.035 * * [simplify]: Extracting #8: cost 1 inf + 73
11.035 * * [simplify]: Extracting #9: cost 0 inf + 100
11.035 * [simplify]: Simplified to:
  (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a)))) (sqrt (+ (* c c) (* d d))))
13.250 * [regime-testing]: Baseline error score: 25.78637126653513
13.252 * [regime-testing]: Oracle error score: 22.967947402287894
13.257 * [regime-testing]: End program error score: 25.78637126653513
13.344 * [regime-testing]: Target error score: 0.37995303765244937