0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.063 * * * [progress]: [2/2] Setting up program.
0.066 * [progress]: [Phase 2 of 3] Improving.
0.066 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
0.066 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.066 * * [simplify]: iters left: 6 (11 enodes)
0.069 * * [simplify]: iters left: 5 (37 enodes)
0.074 * * [simplify]: Extracting #0: cost 1 inf + 0
0.074 * * [simplify]: Extracting #1: cost 4 inf + 0
0.074 * * [simplify]: Extracting #2: cost 10 inf + 0
0.074 * * [simplify]: Extracting #3: cost 18 inf + 0
0.074 * * [simplify]: Extracting #4: cost 9 inf + 291
0.074 * * [simplify]: Extracting #5: cost 1 inf + 1272
0.075 * * [simplify]: Extracting #6: cost 0 inf + 1396
0.075 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
0.075 * [simplify]: Simplified (2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
0.078 * * [progress]: iteration 1 / 4
0.078 * * * [progress]: picking best candidate
0.081 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
0.081 * * * [progress]: localizing error
0.099 * * * [progress]: generating rewritten candidates
0.099 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.140 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.147 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.156 * * * [progress]: generating series expansions
0.156 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.157 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
0.157 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0
0.157 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
0.157 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.157 * [taylor]: Taking taylor expansion of (* a c) in d
0.157 * [taylor]: Taking taylor expansion of a in d
0.157 * [backup-simplify]: Simplify a into a
0.157 * [taylor]: Taking taylor expansion of c in d
0.157 * [backup-simplify]: Simplify c into c
0.157 * [taylor]: Taking taylor expansion of (* b d) in d
0.157 * [taylor]: Taking taylor expansion of b in d
0.157 * [backup-simplify]: Simplify b into b
0.157 * [taylor]: Taking taylor expansion of d in d
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.157 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.157 * [taylor]: Taking taylor expansion of c in d
0.157 * [backup-simplify]: Simplify c into c
0.157 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.157 * [taylor]: Taking taylor expansion of d in d
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (* a c) into (* a c)
0.157 * [backup-simplify]: Simplify (* b 0) into 0
0.157 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.157 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.157 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.158 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
0.158 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
0.158 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.158 * [taylor]: Taking taylor expansion of (* a c) in b
0.158 * [taylor]: Taking taylor expansion of a in b
0.158 * [backup-simplify]: Simplify a into a
0.158 * [taylor]: Taking taylor expansion of c in b
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (* b d) in b
0.158 * [taylor]: Taking taylor expansion of b in b
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [taylor]: Taking taylor expansion of d in b
0.158 * [backup-simplify]: Simplify d into d
0.158 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
0.158 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.158 * [taylor]: Taking taylor expansion of c in b
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.158 * [taylor]: Taking taylor expansion of d in b
0.158 * [backup-simplify]: Simplify d into d
0.158 * [backup-simplify]: Simplify (* a c) into (* a c)
0.158 * [backup-simplify]: Simplify (* 0 d) into 0
0.158 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.158 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.158 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.159 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.159 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
0.159 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c
0.159 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.159 * [taylor]: Taking taylor expansion of (* a c) in c
0.159 * [taylor]: Taking taylor expansion of a in c
0.159 * [backup-simplify]: Simplify a into a
0.159 * [taylor]: Taking taylor expansion of c in c
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of (* b d) in c
0.159 * [taylor]: Taking taylor expansion of b in c
0.159 * [backup-simplify]: Simplify b into b
0.159 * [taylor]: Taking taylor expansion of d in c
0.159 * [backup-simplify]: Simplify d into d
0.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.159 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.159 * [taylor]: Taking taylor expansion of c in c
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.159 * [taylor]: Taking taylor expansion of d in c
0.159 * [backup-simplify]: Simplify d into d
0.159 * [backup-simplify]: Simplify (* a 0) into 0
0.159 * [backup-simplify]: Simplify (* b d) into (* b d)
0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.160 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.160 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.160 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.160 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
0.160 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.160 * [taylor]: Taking taylor expansion of (* a c) in a
0.160 * [taylor]: Taking taylor expansion of a in a
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [taylor]: Taking taylor expansion of c in a
0.160 * [backup-simplify]: Simplify c into c
0.160 * [taylor]: Taking taylor expansion of (* b d) in a
0.160 * [taylor]: Taking taylor expansion of b in a
0.160 * [backup-simplify]: Simplify b into b
0.160 * [taylor]: Taking taylor expansion of d in a
0.160 * [backup-simplify]: Simplify d into d
0.160 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
0.160 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.160 * [taylor]: Taking taylor expansion of c in a
0.160 * [backup-simplify]: Simplify c into c
0.160 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.160 * [taylor]: Taking taylor expansion of d in a
0.160 * [backup-simplify]: Simplify d into d
0.160 * [backup-simplify]: Simplify (* 0 c) into 0
0.160 * [backup-simplify]: Simplify (* b d) into (* b d)
0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.161 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.161 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.161 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.161 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
0.161 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a
0.161 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.161 * [taylor]: Taking taylor expansion of (* a c) in a
0.161 * [taylor]: Taking taylor expansion of a in a
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [taylor]: Taking taylor expansion of c in a
0.161 * [backup-simplify]: Simplify c into c
0.161 * [taylor]: Taking taylor expansion of (* b d) in a
0.161 * [taylor]: Taking taylor expansion of b in a
0.161 * [backup-simplify]: Simplify b into b
0.161 * [taylor]: Taking taylor expansion of d in a
0.161 * [backup-simplify]: Simplify d into d
0.161 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
0.161 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.161 * [taylor]: Taking taylor expansion of c in a
0.161 * [backup-simplify]: Simplify c into c
0.161 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.161 * [taylor]: Taking taylor expansion of d in a
0.161 * [backup-simplify]: Simplify d into d
0.161 * [backup-simplify]: Simplify (* 0 c) into 0
0.162 * [backup-simplify]: Simplify (* b d) into (* b d)
0.162 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.162 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.162 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.162 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.162 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
0.162 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c
0.162 * [taylor]: Taking taylor expansion of (* b d) in c
0.162 * [taylor]: Taking taylor expansion of b in c
0.162 * [backup-simplify]: Simplify b into b
0.162 * [taylor]: Taking taylor expansion of d in c
0.162 * [backup-simplify]: Simplify d into d
0.162 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.162 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.162 * [taylor]: Taking taylor expansion of c in c
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.163 * [taylor]: Taking taylor expansion of d in c
0.163 * [backup-simplify]: Simplify d into d
0.163 * [backup-simplify]: Simplify (* b d) into (* b d)
0.163 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.163 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.163 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.163 * [taylor]: Taking taylor expansion of (/ b d) in b
0.163 * [taylor]: Taking taylor expansion of b in b
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of d in b
0.163 * [backup-simplify]: Simplify d into d
0.163 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.164 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.164 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.164 * [backup-simplify]: Simplify (+ c 0) into c
0.164 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.164 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2)))
0.165 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c
0.165 * [taylor]: Taking taylor expansion of c in c
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.165 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.165 * [taylor]: Taking taylor expansion of c in c
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.165 * [taylor]: Taking taylor expansion of d in c
0.165 * [backup-simplify]: Simplify d into d
0.165 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.166 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.166 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.166 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.166 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0
0.166 * [taylor]: Taking taylor expansion of 0 in b
0.166 * [backup-simplify]: Simplify 0 into 0
0.167 * [taylor]: Taking taylor expansion of 0 in d
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.167 * [taylor]: Taking taylor expansion of d in d
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.169 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.170 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
0.171 * [taylor]: Taking taylor expansion of 0 in c
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [taylor]: Taking taylor expansion of 0 in b
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [taylor]: Taking taylor expansion of 0 in d
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.171 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.171 * [taylor]: Taking taylor expansion of d in b
0.171 * [backup-simplify]: Simplify d into d
0.171 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.171 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.171 * [taylor]: Taking taylor expansion of d in d
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.174 * [backup-simplify]: Simplify (* 1 1) into 1
0.175 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.175 * [backup-simplify]: Simplify (+ 1 0) into 1
0.175 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3)))
0.175 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b
0.175 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b
0.175 * [taylor]: Taking taylor expansion of b in b
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of (pow d 3) in b
0.175 * [taylor]: Taking taylor expansion of d in b
0.175 * [backup-simplify]: Simplify d into d
0.175 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.175 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3)
0.175 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
0.176 * [taylor]: Taking taylor expansion of 0 in d
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0
0.176 * [taylor]: Taking taylor expansion of 0 in d
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.176 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0
0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.176 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.176 * [taylor]: Taking taylor expansion of (* b d) in d
0.176 * [taylor]: Taking taylor expansion of b in d
0.176 * [backup-simplify]: Simplify b into b
0.176 * [taylor]: Taking taylor expansion of d in d
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* b 0) into 0
0.176 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.176 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.176 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.176 * [taylor]: Taking taylor expansion of (* a c) in d
0.177 * [taylor]: Taking taylor expansion of a in d
0.177 * [backup-simplify]: Simplify a into a
0.177 * [taylor]: Taking taylor expansion of c in d
0.177 * [backup-simplify]: Simplify c into c
0.177 * [backup-simplify]: Simplify (* a c) into (* a c)
0.177 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.177 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.177 * [taylor]: Taking taylor expansion of c in d
0.177 * [backup-simplify]: Simplify c into c
0.177 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.177 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.177 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.177 * [taylor]: Taking taylor expansion of d in d
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* 1 1) into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.178 * [backup-simplify]: Simplify (+ 0 1) into 1
0.178 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.178 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.178 * [taylor]: Taking taylor expansion of (* b d) in b
0.178 * [taylor]: Taking taylor expansion of b in b
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [taylor]: Taking taylor expansion of d in b
0.178 * [backup-simplify]: Simplify d into d
0.178 * [backup-simplify]: Simplify (* 0 d) into 0
0.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.178 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.178 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.178 * [taylor]: Taking taylor expansion of (* a c) in b
0.178 * [taylor]: Taking taylor expansion of a in b
0.178 * [backup-simplify]: Simplify a into a
0.178 * [taylor]: Taking taylor expansion of c in b
0.178 * [backup-simplify]: Simplify c into c
0.178 * [backup-simplify]: Simplify (* a c) into (* a c)
0.178 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.178 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.178 * [taylor]: Taking taylor expansion of c in b
0.178 * [backup-simplify]: Simplify c into c
0.179 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.179 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.179 * [taylor]: Taking taylor expansion of d in b
0.179 * [backup-simplify]: Simplify d into d
0.179 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.179 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.179 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.179 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.179 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.179 * [taylor]: Taking taylor expansion of (* b d) in c
0.179 * [taylor]: Taking taylor expansion of b in c
0.179 * [backup-simplify]: Simplify b into b
0.179 * [taylor]: Taking taylor expansion of d in c
0.179 * [backup-simplify]: Simplify d into d
0.179 * [backup-simplify]: Simplify (* b d) into (* b d)
0.179 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.179 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.179 * [taylor]: Taking taylor expansion of (* a c) in c
0.179 * [taylor]: Taking taylor expansion of a in c
0.179 * [backup-simplify]: Simplify a into a
0.179 * [taylor]: Taking taylor expansion of c in c
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (* a 0) into 0
0.180 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.180 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.180 * [taylor]: Taking taylor expansion of (pow c 2) in c
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 (* 1 1) into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.181 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.181 * [taylor]: Taking taylor expansion of d in c
0.181 * [backup-simplify]: Simplify d into d
0.181 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.181 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.181 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.181 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.181 * [taylor]: Taking taylor expansion of (* b d) in a
0.181 * [taylor]: Taking taylor expansion of b in a
0.181 * [backup-simplify]: Simplify b into b
0.181 * [taylor]: Taking taylor expansion of d in a
0.181 * [backup-simplify]: Simplify d into d
0.181 * [backup-simplify]: Simplify (* b d) into (* b d)
0.181 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.181 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.181 * [taylor]: Taking taylor expansion of (* a c) in a
0.181 * [taylor]: Taking taylor expansion of a in a
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [taylor]: Taking taylor expansion of c in a
0.182 * [backup-simplify]: Simplify c into c
0.182 * [backup-simplify]: Simplify (* 0 c) into 0
0.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.182 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.182 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.182 * [taylor]: Taking taylor expansion of c in a
0.182 * [backup-simplify]: Simplify c into c
0.182 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.182 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.182 * [taylor]: Taking taylor expansion of d in a
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 c)) into (/ 1 c)
0.182 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.182 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.182 * [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
0.183 * [taylor]: Taking taylor expansion of c in a
0.183 * [backup-simplify]: Simplify c into c
0.183 * [backup-simplify]: Simplify (* 0 c) into 0
0.183 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.183 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.183 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.183 * [taylor]: Taking taylor expansion of c in a
0.183 * [backup-simplify]: Simplify c into c
0.183 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.183 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.183 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.183 * [taylor]: Taking taylor expansion of d in a
0.183 * [backup-simplify]: Simplify d into d
0.183 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.183 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.183 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.184 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.184 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.184 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.184 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.184 * [taylor]: Taking taylor expansion of c in c
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (* 1 1) into 1
0.184 * [backup-simplify]: Simplify (/ 1 1) into 1
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.184 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.184 * [taylor]: Taking taylor expansion of d in c
0.184 * [backup-simplify]: Simplify d into d
0.184 * [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 * [taylor]: Taking taylor expansion of c in c
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (+ 1 0) into 1
0.185 * [backup-simplify]: Simplify (* 1 0) into 0
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.187 * [backup-simplify]: Simplify (/ 1 1) into 1
0.187 * [taylor]: Taking taylor expansion of 1 in b
0.187 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.188 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.188 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.188 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))
0.189 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.189 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.189 * [taylor]: Taking taylor expansion of b in c
0.189 * [backup-simplify]: Simplify b into b
0.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.189 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.189 * [taylor]: Taking taylor expansion of c in c
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.189 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.189 * [taylor]: Taking taylor expansion of d in c
0.189 * [backup-simplify]: Simplify d into d
0.189 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.190 * [taylor]: Taking taylor expansion of d in c
0.190 * [backup-simplify]: Simplify d into d
0.190 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (* 1 d) into d
0.190 * [backup-simplify]: Simplify (* b d) into (* b d)
0.190 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.192 * [taylor]: Taking taylor expansion of 0 in b
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 1 in d
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.194 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.195 * [taylor]: Taking taylor expansion of 0 in c
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [taylor]: Taking taylor expansion of 0 in b
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.195 * [taylor]: Taking taylor expansion of (* b d) in b
0.195 * [taylor]: Taking taylor expansion of b in b
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [taylor]: Taking taylor expansion of d in b
0.195 * [backup-simplify]: Simplify d into d
0.195 * [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 d) in d
0.196 * [taylor]: Taking taylor expansion of d in d
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.199 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.201 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.201 * [taylor]: Taking taylor expansion of d in b
0.201 * [backup-simplify]: Simplify d into d
0.201 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.201 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.201 * [taylor]: Taking taylor expansion of 0 in d
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [taylor]: Taking taylor expansion of 0 in d
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.206 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.208 * [taylor]: Taking taylor expansion of 0 in c
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [taylor]: Taking taylor expansion of 0 in b
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [taylor]: Taking taylor expansion of 0 in b
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.211 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.211 * [taylor]: Taking taylor expansion of 0 in b
0.211 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.217 * [taylor]: Taking taylor expansion of 0 in b
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [taylor]: Taking taylor expansion of 0 in d
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
0.218 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0
0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.218 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.218 * [taylor]: Taking taylor expansion of (* b d) in d
0.218 * [taylor]: Taking taylor expansion of b in d
0.218 * [backup-simplify]: Simplify b into b
0.218 * [taylor]: Taking taylor expansion of d in d
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (* b 0) into 0
0.219 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.219 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.219 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.219 * [taylor]: Taking taylor expansion of (* a c) in d
0.219 * [taylor]: Taking taylor expansion of a in d
0.219 * [backup-simplify]: Simplify a into a
0.219 * [taylor]: Taking taylor expansion of c in d
0.219 * [backup-simplify]: Simplify c into c
0.219 * [backup-simplify]: Simplify (* a c) into (* a c)
0.219 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.219 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.219 * [taylor]: Taking taylor expansion of c in d
0.219 * [backup-simplify]: Simplify c into c
0.219 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.220 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.220 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.220 * [taylor]: Taking taylor expansion of d in d
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (* 1 1) into 1
0.221 * [backup-simplify]: Simplify (/ 1 1) into 1
0.221 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.221 * [backup-simplify]: Simplify (+ 0 1) into 1
0.221 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.221 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.221 * [taylor]: Taking taylor expansion of (* b d) in b
0.221 * [taylor]: Taking taylor expansion of b in b
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [taylor]: Taking taylor expansion of d in b
0.221 * [backup-simplify]: Simplify d into d
0.221 * [backup-simplify]: Simplify (* 0 d) into 0
0.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.222 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.222 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.222 * [taylor]: Taking taylor expansion of (* a c) in b
0.222 * [taylor]: Taking taylor expansion of a in b
0.222 * [backup-simplify]: Simplify a into a
0.222 * [taylor]: Taking taylor expansion of c in b
0.222 * [backup-simplify]: Simplify c into c
0.222 * [backup-simplify]: Simplify (* a c) into (* a c)
0.222 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.222 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.222 * [taylor]: Taking taylor expansion of c in b
0.222 * [backup-simplify]: Simplify c into c
0.222 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.222 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.223 * [taylor]: Taking taylor expansion of d in b
0.223 * [backup-simplify]: Simplify d into d
0.223 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.223 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.223 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.223 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.223 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.223 * [taylor]: Taking taylor expansion of (* b d) in c
0.223 * [taylor]: Taking taylor expansion of b in c
0.223 * [backup-simplify]: Simplify b into b
0.223 * [taylor]: Taking taylor expansion of d in c
0.223 * [backup-simplify]: Simplify d into d
0.223 * [backup-simplify]: Simplify (* b d) into (* b d)
0.224 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.224 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.224 * [taylor]: Taking taylor expansion of (* a c) in c
0.224 * [taylor]: Taking taylor expansion of a in c
0.224 * [backup-simplify]: Simplify a into a
0.224 * [taylor]: Taking taylor expansion of c in c
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* a 0) into 0
0.224 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.224 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.224 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.224 * [taylor]: Taking taylor expansion of c in c
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.225 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.225 * [taylor]: Taking taylor expansion of d in c
0.225 * [backup-simplify]: Simplify d into d
0.225 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.225 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.226 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.226 * [backup-simplify]: Simplify (+ 1 0) into 1
0.226 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.226 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.226 * [taylor]: Taking taylor expansion of (* b d) in a
0.226 * [taylor]: Taking taylor expansion of b in a
0.226 * [backup-simplify]: Simplify b into b
0.226 * [taylor]: Taking taylor expansion of d in a
0.226 * [backup-simplify]: Simplify d into d
0.226 * [backup-simplify]: Simplify (* b d) into (* b d)
0.226 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.226 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.226 * [taylor]: Taking taylor expansion of (* a c) in a
0.226 * [taylor]: Taking taylor expansion of a in a
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of c in a
0.227 * [backup-simplify]: Simplify c into c
0.227 * [backup-simplify]: Simplify (* 0 c) into 0
0.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.227 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.227 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.227 * [taylor]: Taking taylor expansion of c in a
0.227 * [backup-simplify]: Simplify c into c
0.227 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.227 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.227 * [taylor]: Taking taylor expansion of d in a
0.228 * [backup-simplify]: Simplify d into d
0.228 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.228 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.228 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.228 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.228 * [taylor]: Taking taylor expansion of (* b d) in a
0.228 * [taylor]: Taking taylor expansion of b in a
0.228 * [backup-simplify]: Simplify b into b
0.228 * [taylor]: Taking taylor expansion of d in a
0.228 * [backup-simplify]: Simplify d into d
0.228 * [backup-simplify]: Simplify (* b d) into (* b d)
0.228 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.229 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.229 * [taylor]: Taking taylor expansion of (* a c) in a
0.229 * [taylor]: Taking taylor expansion of a in a
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [taylor]: Taking taylor expansion of c in a
0.229 * [backup-simplify]: Simplify c into c
0.229 * [backup-simplify]: Simplify (* 0 c) into 0
0.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.229 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.229 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.229 * [taylor]: Taking taylor expansion of c in a
0.229 * [backup-simplify]: Simplify c into c
0.229 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.229 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.230 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.230 * [taylor]: Taking taylor expansion of d in a
0.230 * [backup-simplify]: Simplify d into d
0.230 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.230 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.230 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.230 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.231 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.231 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.231 * [taylor]: Taking taylor expansion of c in c
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.232 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.232 * [taylor]: Taking taylor expansion of d in c
0.232 * [backup-simplify]: Simplify d into d
0.232 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.232 * [taylor]: Taking taylor expansion of c in c
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (* 1 0) into 0
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.236 * [taylor]: Taking taylor expansion of 1 in b
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.237 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.237 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.237 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))
0.238 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.238 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.238 * [taylor]: Taking taylor expansion of b in c
0.238 * [backup-simplify]: Simplify b into b
0.238 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.238 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.239 * [taylor]: Taking taylor expansion of c in c
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.239 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.239 * [taylor]: Taking taylor expansion of d in c
0.239 * [backup-simplify]: Simplify d into d
0.239 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.240 * [taylor]: Taking taylor expansion of d in c
0.240 * [backup-simplify]: Simplify d into d
0.240 * [backup-simplify]: Simplify (+ 1 0) into 1
0.240 * [backup-simplify]: Simplify (* 1 d) into d
0.240 * [backup-simplify]: Simplify (* b d) into (* b d)
0.240 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in b
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [taylor]: Taking taylor expansion of 1 in d
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.251 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.253 * [taylor]: Taking taylor expansion of 0 in c
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [taylor]: Taking taylor expansion of 0 in b
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.253 * [taylor]: Taking taylor expansion of (* b d) in b
0.253 * [taylor]: Taking taylor expansion of b in b
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of d in b
0.253 * [backup-simplify]: Simplify d into d
0.254 * [backup-simplify]: Simplify (* 0 d) into 0
0.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.254 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.254 * [taylor]: Taking taylor expansion of (/ 1 d) in d
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
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.261 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.261 * [taylor]: Taking taylor expansion of d in b
0.261 * [backup-simplify]: Simplify d into d
0.261 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.261 * [taylor]: Taking taylor expansion of 0 in d
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [taylor]: Taking taylor expansion of 0 in d
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.266 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in c
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in b
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [taylor]: Taking taylor expansion of 0 in b
0.268 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.271 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.271 * [taylor]: Taking taylor expansion of 0 in b
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in b
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in d
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.277 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
0.277 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
0.277 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.277 * [taylor]: Taking taylor expansion of (* a c) in d
0.277 * [taylor]: Taking taylor expansion of a in d
0.277 * [backup-simplify]: Simplify a into a
0.278 * [taylor]: Taking taylor expansion of c in d
0.278 * [backup-simplify]: Simplify c into c
0.278 * [taylor]: Taking taylor expansion of (* b d) in d
0.278 * [taylor]: Taking taylor expansion of b in d
0.278 * [backup-simplify]: Simplify b into b
0.278 * [taylor]: Taking taylor expansion of d in d
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.278 * [taylor]: Taking taylor expansion of (* a c) in b
0.278 * [taylor]: Taking taylor expansion of a in b
0.278 * [backup-simplify]: Simplify a into a
0.278 * [taylor]: Taking taylor expansion of c in b
0.278 * [backup-simplify]: Simplify c into c
0.278 * [taylor]: Taking taylor expansion of (* b d) in b
0.278 * [taylor]: Taking taylor expansion of b in b
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of d in b
0.278 * [backup-simplify]: Simplify d into d
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.278 * [taylor]: Taking taylor expansion of (* a c) in c
0.278 * [taylor]: Taking taylor expansion of a in c
0.278 * [backup-simplify]: Simplify a into a
0.278 * [taylor]: Taking taylor expansion of c in c
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (* b d) in c
0.278 * [taylor]: Taking taylor expansion of b in c
0.278 * [backup-simplify]: Simplify b into b
0.278 * [taylor]: Taking taylor expansion of d in c
0.278 * [backup-simplify]: Simplify d into d
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.278 * [taylor]: Taking taylor expansion of (* a c) in a
0.278 * [taylor]: Taking taylor expansion of a in a
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of c in a
0.278 * [backup-simplify]: Simplify c into c
0.278 * [taylor]: Taking taylor expansion of (* b d) in a
0.278 * [taylor]: Taking taylor expansion of b in a
0.278 * [backup-simplify]: Simplify b into b
0.278 * [taylor]: Taking taylor expansion of d in a
0.278 * [backup-simplify]: Simplify d into d
0.278 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.278 * [taylor]: Taking taylor expansion of (* a c) in a
0.278 * [taylor]: Taking taylor expansion of a in a
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of c in a
0.279 * [backup-simplify]: Simplify c into c
0.279 * [taylor]: Taking taylor expansion of (* b d) in a
0.279 * [taylor]: Taking taylor expansion of b in a
0.279 * [backup-simplify]: Simplify b into b
0.279 * [taylor]: Taking taylor expansion of d in a
0.279 * [backup-simplify]: Simplify d into d
0.279 * [backup-simplify]: Simplify (* 0 c) into 0
0.279 * [backup-simplify]: Simplify (* b d) into (* b d)
0.279 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.279 * [taylor]: Taking taylor expansion of (* b d) in c
0.279 * [taylor]: Taking taylor expansion of b in c
0.279 * [backup-simplify]: Simplify b into b
0.279 * [taylor]: Taking taylor expansion of d in c
0.279 * [backup-simplify]: Simplify d into d
0.279 * [backup-simplify]: Simplify (* b d) into (* b d)
0.279 * [taylor]: Taking taylor expansion of (* b d) in b
0.279 * [taylor]: Taking taylor expansion of b in b
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of d in b
0.279 * [backup-simplify]: Simplify d into d
0.279 * [backup-simplify]: Simplify (* 0 d) into 0
0.279 * [taylor]: Taking taylor expansion of 0 in d
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.280 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.280 * [backup-simplify]: Simplify (+ c 0) into c
0.280 * [taylor]: Taking taylor expansion of c in c
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of 0 in b
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in d
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in b
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in d
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.281 * [taylor]: Taking taylor expansion of d in d
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.283 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in c
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [taylor]: Taking taylor expansion of 0 in b
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [taylor]: Taking taylor expansion of 0 in d
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.284 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.284 * [taylor]: Taking taylor expansion of (* b d) in d
0.284 * [taylor]: Taking taylor expansion of b in d
0.284 * [backup-simplify]: Simplify b into b
0.284 * [taylor]: Taking taylor expansion of d in d
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* b 0) into 0
0.284 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.284 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.285 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.285 * [taylor]: Taking taylor expansion of (* a c) in d
0.285 * [taylor]: Taking taylor expansion of a in d
0.285 * [backup-simplify]: Simplify a into a
0.285 * [taylor]: Taking taylor expansion of c in d
0.285 * [backup-simplify]: Simplify c into c
0.285 * [backup-simplify]: Simplify (* a c) into (* a c)
0.285 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.285 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.285 * [taylor]: Taking taylor expansion of (* b d) in b
0.285 * [taylor]: Taking taylor expansion of b in b
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [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
0.286 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.286 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.286 * [taylor]: Taking taylor expansion of (* a c) in b
0.286 * [taylor]: Taking taylor expansion of a in b
0.286 * [backup-simplify]: Simplify a into a
0.286 * [taylor]: Taking taylor expansion of c in b
0.286 * [backup-simplify]: Simplify c into c
0.286 * [backup-simplify]: Simplify (* a c) into (* a c)
0.286 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.286 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.286 * [taylor]: Taking taylor expansion of (* b d) in c
0.286 * [taylor]: Taking taylor expansion of b in c
0.286 * [backup-simplify]: Simplify b into b
0.286 * [taylor]: Taking taylor expansion of d in c
0.286 * [backup-simplify]: Simplify d into d
0.286 * [backup-simplify]: Simplify (* b d) into (* b d)
0.286 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.286 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.286 * [taylor]: Taking taylor expansion of (* a c) in c
0.286 * [taylor]: Taking taylor expansion of a in c
0.286 * [backup-simplify]: Simplify a into a
0.286 * [taylor]: Taking taylor expansion of c in c
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* a 0) into 0
0.287 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.287 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.287 * [taylor]: Taking taylor expansion of (* b d) in a
0.287 * [taylor]: Taking taylor expansion of b in a
0.287 * [backup-simplify]: Simplify b into b
0.287 * [taylor]: Taking taylor expansion of d in a
0.287 * [backup-simplify]: Simplify d into d
0.287 * [backup-simplify]: Simplify (* b d) into (* b d)
0.287 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.287 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.287 * [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
0.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.288 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.288 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.288 * [taylor]: Taking taylor expansion of (* b d) in a
0.288 * [taylor]: Taking taylor expansion of b in a
0.288 * [backup-simplify]: Simplify b into b
0.288 * [taylor]: Taking taylor expansion of d in a
0.288 * [backup-simplify]: Simplify d into d
0.288 * [backup-simplify]: Simplify (* b d) into (* b d)
0.288 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.288 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.288 * [taylor]: Taking taylor expansion of (* a c) in a
0.288 * [taylor]: Taking taylor expansion of a in a
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of c in a
0.289 * [backup-simplify]: Simplify c into c
0.289 * [backup-simplify]: Simplify (* 0 c) into 0
0.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.289 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.289 * [backup-simplify]: Simplify (+ 0 (/ 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
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [taylor]: Taking taylor expansion of 1 in b
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.291 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.291 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.291 * [taylor]: Taking taylor expansion of (* b d) in c
0.291 * [taylor]: Taking taylor expansion of b in c
0.291 * [backup-simplify]: Simplify b into b
0.291 * [taylor]: Taking taylor expansion of d in c
0.291 * [backup-simplify]: Simplify d into d
0.291 * [backup-simplify]: Simplify (* b d) into (* b d)
0.291 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in b
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 1 in d
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [taylor]: Taking taylor expansion of 0 in c
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.294 * [taylor]: Taking taylor expansion of (* b d) in b
0.294 * [taylor]: Taking taylor expansion of b in b
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [taylor]: Taking taylor expansion of d in b
0.294 * [backup-simplify]: Simplify d into d
0.295 * [backup-simplify]: Simplify (* 0 d) into 0
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.295 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.295 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.295 * [taylor]: Taking taylor expansion of d in d
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in b
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in d
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in d
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in c
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [taylor]: Taking taylor expansion of 0 in b
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in b
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in b
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in c
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [taylor]: Taking taylor expansion of 0 in b
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [taylor]: Taking taylor expansion of 0 in b
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in b
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in b
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in d
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in d
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in d
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in d
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [taylor]: Taking taylor expansion of 0 in d
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [taylor]: Taking taylor expansion of 0 in d
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [taylor]: Taking taylor expansion of 0 in d
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d))
0.312 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.312 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.312 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.312 * [taylor]: Taking taylor expansion of (* b d) in d
0.312 * [taylor]: Taking taylor expansion of b in d
0.312 * [backup-simplify]: Simplify b into b
0.312 * [taylor]: Taking taylor expansion of d in d
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* b 0) into 0
0.313 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.313 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.313 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.313 * [taylor]: Taking taylor expansion of (* a c) in d
0.313 * [taylor]: Taking taylor expansion of a in d
0.313 * [backup-simplify]: Simplify a into a
0.313 * [taylor]: Taking taylor expansion of c in d
0.313 * [backup-simplify]: Simplify c into c
0.313 * [backup-simplify]: Simplify (* a c) into (* a c)
0.313 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.313 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.313 * [taylor]: Taking taylor expansion of (* b d) in b
0.313 * [taylor]: Taking taylor expansion of b in b
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of d in b
0.313 * [backup-simplify]: Simplify d into d
0.313 * [backup-simplify]: Simplify (* 0 d) into 0
0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.314 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.314 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.314 * [taylor]: Taking taylor expansion of (* a c) in b
0.314 * [taylor]: Taking taylor expansion of a in b
0.314 * [backup-simplify]: Simplify a into a
0.314 * [taylor]: Taking taylor expansion of c in b
0.314 * [backup-simplify]: Simplify c into c
0.314 * [backup-simplify]: Simplify (* a c) into (* a c)
0.314 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.314 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.314 * [taylor]: Taking taylor expansion of (* b d) in c
0.314 * [taylor]: Taking taylor expansion of b in c
0.314 * [backup-simplify]: Simplify b into b
0.314 * [taylor]: Taking taylor expansion of d in c
0.314 * [backup-simplify]: Simplify d into d
0.314 * [backup-simplify]: Simplify (* b d) into (* b d)
0.315 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.315 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.315 * [taylor]: Taking taylor expansion of (* a c) in c
0.315 * [taylor]: Taking taylor expansion of a in c
0.315 * [backup-simplify]: Simplify a into a
0.315 * [taylor]: Taking taylor expansion of c in c
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* a 0) into 0
0.315 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.315 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.315 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.315 * [taylor]: Taking taylor expansion of (* b d) in a
0.315 * [taylor]: Taking taylor expansion of b in a
0.315 * [backup-simplify]: Simplify b into b
0.315 * [taylor]: Taking taylor expansion of d in a
0.315 * [backup-simplify]: Simplify d into d
0.315 * [backup-simplify]: Simplify (* b d) into (* b d)
0.316 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.316 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.316 * [taylor]: Taking taylor expansion of (* a c) in a
0.316 * [taylor]: Taking taylor expansion of a in a
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [taylor]: Taking taylor expansion of c in a
0.316 * [backup-simplify]: Simplify c into c
0.316 * [backup-simplify]: Simplify (* 0 c) into 0
0.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.316 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.316 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.316 * [taylor]: Taking taylor expansion of (* b d) in a
0.316 * [taylor]: Taking taylor expansion of b in a
0.316 * [backup-simplify]: Simplify b into b
0.316 * [taylor]: Taking taylor expansion of d in a
0.316 * [backup-simplify]: Simplify d into d
0.316 * [backup-simplify]: Simplify (* b d) into (* b d)
0.317 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.317 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.317 * [taylor]: Taking taylor expansion of (* a c) in a
0.317 * [taylor]: Taking taylor expansion of a in a
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [taylor]: Taking taylor expansion of c in a
0.317 * [backup-simplify]: Simplify c into c
0.317 * [backup-simplify]: Simplify (* 0 c) into 0
0.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.317 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.317 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.317 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.317 * [taylor]: Taking taylor expansion of c in c
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of 1 in b
0.318 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.319 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.319 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.319 * [taylor]: Taking taylor expansion of (* b d) in c
0.319 * [taylor]: Taking taylor expansion of b in c
0.319 * [backup-simplify]: Simplify b into b
0.319 * [taylor]: Taking taylor expansion of d in c
0.319 * [backup-simplify]: Simplify d into d
0.319 * [backup-simplify]: Simplify (* b d) into (* b d)
0.319 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in b
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 1 in d
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [taylor]: Taking taylor expansion of 0 in c
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.323 * [taylor]: Taking taylor expansion of (* b d) in b
0.323 * [taylor]: Taking taylor expansion of b in b
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [taylor]: Taking taylor expansion of d in b
0.323 * [backup-simplify]: Simplify d into d
0.323 * [backup-simplify]: Simplify (* 0 d) into 0
0.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.323 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.323 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.323 * [taylor]: Taking taylor expansion of d in d
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [taylor]: Taking taylor expansion of 0 in b
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [taylor]: Taking taylor expansion of 0 in d
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [taylor]: Taking taylor expansion of 0 in d
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in c
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [taylor]: Taking taylor expansion of 0 in b
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in b
0.328 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [taylor]: Taking taylor expansion of 0 in b
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.330 * [taylor]: Taking taylor expansion of 0 in d
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [taylor]: Taking taylor expansion of 0 in d
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [taylor]: Taking taylor expansion of 0 in d
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [taylor]: Taking taylor expansion of 0 in d
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [taylor]: Taking taylor expansion of 0 in c
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 0 in b
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 0 in b
0.335 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in b
0.336 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in b
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [taylor]: Taking taylor expansion of 0 in d
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [taylor]: Taking taylor expansion of 0 in d
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [taylor]: Taking taylor expansion of 0 in d
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in d
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in d
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in d
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in d
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d))
0.340 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.340 * [backup-simplify]: Simplify (+ (* c c) (* d d)) into (+ (pow c 2) (pow d 2))
0.340 * [approximate]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in (c d) around 0
0.340 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.340 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.340 * [taylor]: Taking taylor expansion of c in d
0.340 * [backup-simplify]: Simplify c into c
0.340 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.340 * [taylor]: Taking taylor expansion of d in d
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.340 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.340 * [taylor]: Taking taylor expansion of c in c
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.340 * [taylor]: Taking taylor expansion of d in c
0.340 * [backup-simplify]: Simplify d into d
0.340 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.341 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.341 * [taylor]: Taking taylor expansion of c in c
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.341 * [taylor]: Taking taylor expansion of d in c
0.341 * [backup-simplify]: Simplify d into d
0.341 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.341 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.341 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.341 * [taylor]: Taking taylor expansion of d in d
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in d
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.343 * [backup-simplify]: Simplify (+ 1 0) into 1
0.343 * [taylor]: Taking taylor expansion of 1 in d
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (* 1 1) into 1
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.345 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in d
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.348 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [taylor]: Taking taylor expansion of 0 in d
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2))
0.349 * [backup-simplify]: Simplify (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0
0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.349 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.349 * [taylor]: Taking taylor expansion of c in d
0.349 * [backup-simplify]: Simplify c into c
0.349 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.350 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.350 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.350 * [taylor]: Taking taylor expansion of d in d
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.350 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.351 * [taylor]: Taking taylor expansion of c in c
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.351 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.351 * [taylor]: Taking taylor expansion of d in c
0.351 * [backup-simplify]: Simplify d into d
0.352 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.352 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.352 * [taylor]: Taking taylor expansion of c in c
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.353 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.353 * [taylor]: Taking taylor expansion of d in c
0.353 * [backup-simplify]: Simplify d into d
0.353 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.353 * [taylor]: Taking taylor expansion of 1 in d
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [taylor]: Taking taylor expansion of 0 in d
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.357 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.357 * [taylor]: Taking taylor expansion of d in d
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in d
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [taylor]: Taking taylor expansion of 0 in d
0.366 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2))
0.368 * [backup-simplify]: Simplify (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.369 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.369 * [taylor]: Taking taylor expansion of c in d
0.369 * [backup-simplify]: Simplify c into c
0.369 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.369 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.369 * [taylor]: Taking taylor expansion of d in d
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.370 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.370 * [taylor]: Taking taylor expansion of c in c
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.371 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.371 * [taylor]: Taking taylor expansion of d in c
0.371 * [backup-simplify]: Simplify d into d
0.371 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.371 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.371 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.371 * [taylor]: Taking taylor expansion of c in c
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.372 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.372 * [taylor]: Taking taylor expansion of d in c
0.372 * [backup-simplify]: Simplify d into d
0.372 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.372 * [backup-simplify]: Simplify (+ 1 0) into 1
0.372 * [taylor]: Taking taylor expansion of 1 in d
0.372 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in d
0.374 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.377 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.377 * [taylor]: Taking taylor expansion of d in d
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [taylor]: Taking taylor expansion of 0 in d
0.380 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [taylor]: Taking taylor expansion of 0 in d
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2))
0.388 * * * [progress]: simplifying candidates
0.388 * * * * [progress]: [ 1 / 65 ] simplifiying candidate #<alt (λ (a b c d) (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 1))>
0.388 * * * * [progress]: [ 2 / 65 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))))>
0.388 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))
0.388 * * [simplify]: iters left: 6 (13 enodes)
0.394 * * [simplify]: iters left: 5 (45 enodes)
0.406 * * [simplify]: iters left: 4 (48 enodes)
0.423 * * [simplify]: Extracting #0: cost 1 inf + 0
0.423 * * [simplify]: Extracting #1: cost 5 inf + 0
0.423 * * [simplify]: Extracting #2: cost 10 inf + 0
0.423 * * [simplify]: Extracting #3: cost 16 inf + 0
0.423 * * [simplify]: Extracting #4: cost 24 inf + 0
0.423 * * [simplify]: Extracting #5: cost 18 inf + 87
0.423 * * [simplify]: Extracting #6: cost 11 inf + 613
0.424 * * [simplify]: Extracting #7: cost 4 inf + 1942
0.425 * * [simplify]: Extracting #8: cost 0 inf + 2912
0.426 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))
0.426 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))))
0.426 * * * * [progress]: [ 3 / 65 ] simplifiying candidate #<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
0.426 * * * * [progress]: [ 4 / 65 ] simplifiying candidate #<alt (λ (a b c d) (log (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
0.426 * * * * [progress]: [ 5 / 65 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))))>
0.427 * [simplify]: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
0.427 * * [simplify]: iters left: 6 (15 enodes)
0.434 * * [simplify]: iters left: 5 (82 enodes)
0.464 * * [simplify]: iters left: 4 (310 enodes)
0.602 * * [simplify]: Extracting #0: cost 1 inf + 0
0.602 * * [simplify]: Extracting #1: cost 30 inf + 0
0.608 * * [simplify]: Extracting #2: cost 102 inf + 1
0.609 * * [simplify]: Extracting #3: cost 273 inf + 1
0.615 * * [simplify]: Extracting #4: cost 211 inf + 14207
0.626 * * [simplify]: Extracting #5: cost 31 inf + 51597
0.640 * * [simplify]: Extracting #6: cost 0 inf + 58414
0.664 * * [simplify]: Extracting #7: cost 0 inf + 58334
0.692 * [simplify]: Simplified to (* (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))
0.692 * [simplify]: Simplified (2 1) to (λ (a b c d) (cbrt (* (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))))
0.693 * * * * [progress]: [ 6 / 65 ] simplifiying candidate #<alt (λ (a b c 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))))))>
0.693 * * * * [progress]: [ 7 / 65 ] simplifiying candidate #<alt (λ (a b c 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))))))>
0.693 * * * * [progress]: [ 8 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
0.693 * * * * [progress]: [ 9 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (+ (* a c) (* b d))) (- (+ (* c c) (* d d)))))>
0.693 * * * * [progress]: [ 10 / 65 ] simplifiying candidate #<alt (λ (a b c 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))))))>
0.693 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.694 * * [simplify]: iters left: 6 (15 enodes)
0.700 * * [simplify]: iters left: 5 (55 enodes)
0.715 * * [simplify]: iters left: 4 (70 enodes)
0.730 * * [simplify]: iters left: 3 (77 enodes)
0.740 * * [simplify]: iters left: 2 (80 enodes)
0.751 * * [simplify]: Extracting #0: cost 1 inf + 0
0.751 * * [simplify]: Extracting #1: cost 11 inf + 0
0.751 * * [simplify]: Extracting #2: cost 22 inf + 0
0.751 * * [simplify]: Extracting #3: cost 28 inf + 0
0.751 * * [simplify]: Extracting #4: cost 36 inf + 0
0.751 * * [simplify]: Extracting #5: cost 28 inf + 170
0.752 * * [simplify]: Extracting #6: cost 13 inf + 2650
0.753 * * [simplify]: Extracting #7: cost 2 inf + 7452
0.754 * * [simplify]: Extracting #8: cost 0 inf + 8260
0.757 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))))
0.757 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))))
0.758 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
0.758 * * [simplify]: iters left: 6 (13 enodes)
0.763 * * [simplify]: iters left: 5 (43 enodes)
0.775 * * [simplify]: Extracting #0: cost 1 inf + 0
0.775 * * [simplify]: Extracting #1: cost 4 inf + 0
0.775 * * [simplify]: Extracting #2: cost 8 inf + 0
0.775 * * [simplify]: Extracting #3: cost 14 inf + 0
0.775 * * [simplify]: Extracting #4: cost 22 inf + 0
0.775 * * [simplify]: Extracting #5: cost 17 inf + 45
0.776 * * [simplify]: Extracting #6: cost 10 inf + 577
0.776 * * [simplify]: Extracting #7: cost 4 inf + 1312
0.777 * * [simplify]: Extracting #8: cost 1 inf + 2084
0.778 * * [simplify]: Extracting #9: cost 0 inf + 2528
0.778 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
0.779 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))))
0.779 * * * * [progress]: [ 11 / 65 ] simplifiying candidate #<alt (λ (a b c 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))))))>
0.779 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))
0.779 * * [simplify]: iters left: 6 (14 enodes)
0.785 * * [simplify]: iters left: 5 (48 enodes)
0.798 * * [simplify]: iters left: 4 (52 enodes)
0.811 * * [simplify]: iters left: 3 (55 enodes)
0.826 * * [simplify]: Extracting #0: cost 1 inf + 0
0.826 * * [simplify]: Extracting #1: cost 7 inf + 0
0.826 * * [simplify]: Extracting #2: cost 14 inf + 0
0.826 * * [simplify]: Extracting #3: cost 20 inf + 0
0.826 * * [simplify]: Extracting #4: cost 28 inf + 0
0.826 * * [simplify]: Extracting #5: cost 21 inf + 129
0.827 * * [simplify]: Extracting #6: cost 7 inf + 2086
0.828 * * [simplify]: Extracting #7: cost 0 inf + 4552
0.829 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c))))
0.829 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
0.830 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.830 * * [simplify]: iters left: 6 (13 enodes)
0.835 * * [simplify]: iters left: 5 (43 enodes)
0.847 * * [simplify]: Extracting #0: cost 1 inf + 0
0.847 * * [simplify]: Extracting #1: cost 4 inf + 0
0.847 * * [simplify]: Extracting #2: cost 8 inf + 0
0.847 * * [simplify]: Extracting #3: cost 14 inf + 0
0.847 * * [simplify]: Extracting #4: cost 22 inf + 0
0.848 * * [simplify]: Extracting #5: cost 17 inf + 45
0.848 * * [simplify]: Extracting #6: cost 10 inf + 537
0.848 * * [simplify]: Extracting #7: cost 4 inf + 1232
0.849 * * [simplify]: Extracting #8: cost 1 inf + 1964
0.850 * * [simplify]: Extracting #9: cost 0 inf + 2368
0.850 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.850 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))
0.851 * * * * [progress]: [ 12 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))>
0.851 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
0.851 * * [simplify]: iters left: 6 (11 enodes)
0.857 * * [simplify]: iters left: 5 (38 enodes)
0.868 * * [simplify]: iters left: 4 (48 enodes)
0.880 * * [simplify]: iters left: 3 (49 enodes)
0.893 * * [simplify]: Extracting #0: cost 1 inf + 0
0.893 * * [simplify]: Extracting #1: cost 5 inf + 0
0.893 * * [simplify]: Extracting #2: cost 7 inf + 1
0.893 * * [simplify]: Extracting #3: cost 10 inf + 1
0.893 * * [simplify]: Extracting #4: cost 16 inf + 1
0.894 * * [simplify]: Extracting #5: cost 11 inf + 47
0.894 * * [simplify]: Extracting #6: cost 5 inf + 828
0.895 * * [simplify]: Extracting #7: cost 0 inf + 1807
0.895 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
0.895 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
0.896 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
0.896 * * [simplify]: iters left: 6 (12 enodes)
0.901 * * [simplify]: iters left: 5 (40 enodes)
0.911 * * [simplify]: Extracting #0: cost 1 inf + 0
0.912 * * [simplify]: Extracting #1: cost 4 inf + 0
0.912 * * [simplify]: Extracting #2: cost 9 inf + 0
0.912 * * [simplify]: Extracting #3: cost 16 inf + 0
0.912 * * [simplify]: Extracting #4: cost 16 inf + 84
0.912 * * [simplify]: Extracting #5: cost 7 inf + 538
0.913 * * [simplify]: Extracting #6: cost 0 inf + 1964
0.913 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
0.913 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))
0.913 * * * * [progress]: [ 13 / 65 ] simplifiying candidate #<alt (λ (a b c 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))))))>
0.914 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.914 * * [simplify]: iters left: 6 (14 enodes)
0.919 * * [simplify]: iters left: 5 (48 enodes)
0.927 * * [simplify]: iters left: 4 (50 enodes)
0.934 * * [simplify]: Extracting #0: cost 1 inf + 0
0.934 * * [simplify]: Extracting #1: cost 6 inf + 0
0.934 * * [simplify]: Extracting #2: cost 12 inf + 0
0.934 * * [simplify]: Extracting #3: cost 18 inf + 0
0.934 * * [simplify]: Extracting #4: cost 26 inf + 0
0.934 * * [simplify]: Extracting #5: cost 19 inf + 129
0.935 * * [simplify]: Extracting #6: cost 11 inf + 871
0.935 * * [simplify]: Extracting #7: cost 4 inf + 2246
0.936 * * [simplify]: Extracting #8: cost 0 inf + 3740
0.936 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.936 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))))
0.936 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
0.936 * * [simplify]: iters left: 6 (13 enodes)
0.939 * * [simplify]: iters left: 5 (43 enodes)
0.945 * * [simplify]: Extracting #0: cost 1 inf + 0
0.945 * * [simplify]: Extracting #1: cost 4 inf + 0
0.945 * * [simplify]: Extracting #2: cost 8 inf + 0
0.945 * * [simplify]: Extracting #3: cost 14 inf + 0
0.945 * * [simplify]: Extracting #4: cost 22 inf + 0
0.945 * * [simplify]: Extracting #5: cost 17 inf + 45
0.945 * * [simplify]: Extracting #6: cost 10 inf + 577
0.946 * * [simplify]: Extracting #7: cost 4 inf + 1272
0.946 * * [simplify]: Extracting #8: cost 1 inf + 1964
0.946 * * [simplify]: Extracting #9: cost 0 inf + 2368
0.947 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
0.947 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))))
0.947 * * * * [progress]: [ 14 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))>
0.947 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.947 * * [simplify]: iters left: 6 (13 enodes)
0.950 * * [simplify]: iters left: 5 (43 enodes)
0.961 * * [simplify]: Extracting #0: cost 1 inf + 0
0.961 * * [simplify]: Extracting #1: cost 4 inf + 0
0.961 * * [simplify]: Extracting #2: cost 8 inf + 0
0.961 * * [simplify]: Extracting #3: cost 14 inf + 0
0.961 * * [simplify]: Extracting #4: cost 22 inf + 0
0.961 * * [simplify]: Extracting #5: cost 17 inf + 45
0.962 * * [simplify]: Extracting #6: cost 10 inf + 537
0.964 * * [simplify]: Extracting #7: cost 4 inf + 1192
0.965 * * [simplify]: Extracting #8: cost 1 inf + 1844
0.966 * * [simplify]: Extracting #9: cost 0 inf + 2208
0.966 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.966 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
0.967 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.967 * * [simplify]: iters left: 6 (13 enodes)
0.969 * * [simplify]: iters left: 5 (43 enodes)
0.975 * * [simplify]: Extracting #0: cost 1 inf + 0
0.975 * * [simplify]: Extracting #1: cost 4 inf + 0
0.975 * * [simplify]: Extracting #2: cost 8 inf + 0
0.975 * * [simplify]: Extracting #3: cost 14 inf + 0
0.975 * * [simplify]: Extracting #4: cost 22 inf + 0
0.975 * * [simplify]: Extracting #5: cost 17 inf + 45
0.975 * * [simplify]: Extracting #6: cost 10 inf + 537
0.975 * * [simplify]: Extracting #7: cost 4 inf + 1192
0.976 * * [simplify]: Extracting #8: cost 1 inf + 1844
0.976 * * [simplify]: Extracting #9: cost 0 inf + 2208
0.977 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.977 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))
0.977 * * * * [progress]: [ 15 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))>
0.977 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1)
0.977 * * [simplify]: iters left: 6 (10 enodes)
0.980 * * [simplify]: iters left: 5 (33 enodes)
0.984 * * [simplify]: iters left: 4 (35 enodes)
0.989 * * [simplify]: Extracting #0: cost 1 inf + 0
0.989 * * [simplify]: Extracting #1: cost 4 inf + 0
0.989 * * [simplify]: Extracting #2: cost 6 inf + 1
0.989 * * [simplify]: Extracting #3: cost 12 inf + 1
0.990 * * [simplify]: Extracting #4: cost 7 inf + 47
0.990 * * [simplify]: Extracting #5: cost 0 inf + 749
0.990 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
0.990 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
0.990 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
0.990 * * [simplify]: iters left: 6 (12 enodes)
0.993 * * [simplify]: iters left: 5 (40 enodes)
1.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1.001 * * [simplify]: Extracting #1: cost 4 inf + 0
1.001 * * [simplify]: Extracting #2: cost 9 inf + 0
1.002 * * [simplify]: Extracting #3: cost 16 inf + 0
1.002 * * [simplify]: Extracting #4: cost 16 inf + 84
1.002 * * [simplify]: Extracting #5: cost 7 inf + 538
1.002 * * [simplify]: Extracting #6: cost 0 inf + 1804
1.003 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
1.003 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))
1.003 * * * * [progress]: [ 16 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))))>
1.004 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
1.004 * * [simplify]: iters left: 6 (9 enodes)
1.008 * * [simplify]: iters left: 5 (32 enodes)
1.018 * * [simplify]: iters left: 4 (36 enodes)
1.025 * * [simplify]: Extracting #0: cost 1 inf + 0
1.025 * * [simplify]: Extracting #1: cost 6 inf + 0
1.025 * * [simplify]: Extracting #2: cost 9 inf + 1
1.025 * * [simplify]: Extracting #3: cost 12 inf + 1
1.025 * * [simplify]: Extracting #4: cost 16 inf + 1
1.025 * * [simplify]: Extracting #5: cost 14 inf + 3
1.025 * * [simplify]: Extracting #6: cost 10 inf + 248
1.026 * * [simplify]: Extracting #7: cost 3 inf + 1543
1.026 * * [simplify]: Extracting #8: cost 0 inf + 2351
1.026 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))
1.026 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))))
1.027 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))
1.027 * * [simplify]: iters left: 6 (12 enodes)
1.029 * * [simplify]: iters left: 5 (40 enodes)
1.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1.034 * * [simplify]: Extracting #2: cost 9 inf + 0
1.034 * * [simplify]: Extracting #3: cost 18 inf + 0
1.035 * * [simplify]: Extracting #4: cost 11 inf + 372
1.035 * * [simplify]: Extracting #5: cost 1 inf + 1596
1.035 * * [simplify]: Extracting #6: cost 0 inf + 1960
1.036 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d))))
1.036 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d))))))
1.036 * * * * [progress]: [ 17 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
1.036 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
1.036 * * [simplify]: iters left: 6 (8 enodes)
1.038 * * [simplify]: iters left: 5 (27 enodes)
1.042 * * [simplify]: iters left: 4 (29 enodes)
1.047 * * [simplify]: Extracting #0: cost 1 inf + 0
1.047 * * [simplify]: Extracting #1: cost 4 inf + 0
1.047 * * [simplify]: Extracting #2: cost 5 inf + 1
1.047 * * [simplify]: Extracting #3: cost 8 inf + 1
1.047 * * [simplify]: Extracting #4: cost 12 inf + 1
1.047 * * [simplify]: Extracting #5: cost 10 inf + 3
1.047 * * [simplify]: Extracting #6: cost 5 inf + 289
1.047 * * [simplify]: Extracting #7: cost 1 inf + 938
1.048 * * [simplify]: Extracting #8: cost 0 inf + 1141
1.048 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
1.048 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
1.048 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
1.048 * * [simplify]: iters left: 6 (12 enodes)
1.051 * * [simplify]: iters left: 5 (40 enodes)
1.064 * * [simplify]: Extracting #0: cost 1 inf + 0
1.064 * * [simplify]: Extracting #1: cost 4 inf + 0
1.064 * * [simplify]: Extracting #2: cost 9 inf + 0
1.064 * * [simplify]: Extracting #3: cost 18 inf + 0
1.064 * * [simplify]: Extracting #4: cost 11 inf + 372
1.064 * * [simplify]: Extracting #5: cost 1 inf + 1476
1.065 * * [simplify]: Extracting #6: cost 0 inf + 1800
1.066 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
1.066 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))
1.066 * * * * [progress]: [ 18 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 1) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>
1.066 * [simplify]: Simplifying (/ 1 1)
1.066 * * [simplify]: iters left: 2 (2 enodes)
1.067 * * [simplify]: iters left: 1 (6 enodes)
1.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1.068 * * [simplify]: Extracting #1: cost 0 inf + 1
1.068 * [simplify]: Simplified to 1
1.068 * [simplify]: Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
1.069 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.069 * * [simplify]: iters left: 6 (11 enodes)
1.071 * * [simplify]: iters left: 5 (37 enodes)
1.076 * * [simplify]: Extracting #0: cost 1 inf + 0
1.076 * * [simplify]: Extracting #1: cost 4 inf + 0
1.076 * * [simplify]: Extracting #2: cost 10 inf + 0
1.076 * * [simplify]: Extracting #3: cost 18 inf + 0
1.076 * * [simplify]: Extracting #4: cost 9 inf + 291
1.076 * * [simplify]: Extracting #5: cost 1 inf + 1272
1.076 * * [simplify]: Extracting #6: cost 0 inf + 1396
1.077 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
1.077 * [simplify]: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))
1.077 * * * * [progress]: [ 19 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>
1.077 * * * * [progress]: [ 20 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))>
1.077 * * * * [progress]: [ 21 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))>
1.077 * * * * [progress]: [ 22 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d)))))>
1.077 * [simplify]: Simplifying (cbrt (+ (* c c) (* d d)))
1.077 * * [simplify]: iters left: 5 (6 enodes)
1.078 * * [simplify]: iters left: 4 (19 enodes)
1.081 * * [simplify]: Extracting #0: cost 1 inf + 0
1.081 * * [simplify]: Extracting #1: cost 3 inf + 0
1.081 * * [simplify]: Extracting #2: cost 6 inf + 0
1.081 * * [simplify]: Extracting #3: cost 10 inf + 0
1.081 * * [simplify]: Extracting #4: cost 6 inf + 84
1.081 * * [simplify]: Extracting #5: cost 0 inf + 814
1.081 * [simplify]: Simplified to (cbrt (+ (* c c) (* d d)))
1.081 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d)))))
1.081 * * * * [progress]: [ 23 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
1.082 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
1.082 * * [simplify]: iters left: 5 (6 enodes)
1.083 * * [simplify]: iters left: 4 (19 enodes)
1.086 * * [simplify]: Extracting #0: cost 1 inf + 0
1.086 * * [simplify]: Extracting #1: cost 3 inf + 0
1.086 * * [simplify]: Extracting #2: cost 6 inf + 0
1.086 * * [simplify]: Extracting #3: cost 10 inf + 0
1.086 * * [simplify]: Extracting #4: cost 6 inf + 84
1.086 * * [simplify]: Extracting #5: cost 0 inf + 734
1.086 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
1.086 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
1.086 * * * * [progress]: [ 24 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))>
1.087 * [simplify]: Simplifying (+ (* c c) (* d d))
1.087 * * [simplify]: iters left: 4 (5 enodes)
1.088 * * [simplify]: iters left: 3 (16 enodes)
1.090 * * [simplify]: Extracting #0: cost 1 inf + 0
1.090 * * [simplify]: Extracting #1: cost 4 inf + 0
1.090 * * [simplify]: Extracting #2: cost 8 inf + 0
1.090 * * [simplify]: Extracting #3: cost 4 inf + 84
1.090 * * [simplify]: Extracting #4: cost 0 inf + 410
1.090 * [simplify]: Simplified to (+ (* c c) (* d d))
1.090 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))
1.090 * * * * [progress]: [ 25 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d))))))>
1.091 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
1.091 * * [simplify]: iters left: 6 (9 enodes)
1.093 * * [simplify]: iters left: 5 (30 enodes)
1.099 * * [simplify]: Extracting #0: cost 1 inf + 0
1.099 * * [simplify]: Extracting #1: cost 3 inf + 0
1.099 * * [simplify]: Extracting #2: cost 5 inf + 0
1.099 * * [simplify]: Extracting #3: cost 8 inf + 0
1.100 * * [simplify]: Extracting #4: cost 14 inf + 0
1.100 * * [simplify]: Extracting #5: cost 9 inf + 46
1.100 * * [simplify]: Extracting #6: cost 4 inf + 500
1.100 * * [simplify]: Extracting #7: cost 1 inf + 1072
1.101 * * [simplify]: Extracting #8: cost 0 inf + 1316
1.101 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
1.101 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d))))))
1.101 * * * * [progress]: [ 26 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))))>
1.102 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
1.102 * * [simplify]: iters left: 5 (8 enodes)
1.105 * * [simplify]: iters left: 4 (27 enodes)
1.112 * * [simplify]: Extracting #0: cost 1 inf + 0
1.112 * * [simplify]: Extracting #1: cost 3 inf + 0
1.112 * * [simplify]: Extracting #2: cost 6 inf + 0
1.112 * * [simplify]: Extracting #3: cost 12 inf + 0
1.112 * * [simplify]: Extracting #4: cost 8 inf + 4
1.112 * * [simplify]: Extracting #5: cost 1 inf + 584
1.113 * * [simplify]: Extracting #6: cost 0 inf + 748
1.113 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
1.113 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))))
1.113 * * * * [progress]: [ 27 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))>
1.113 * * * * [progress]: [ 28 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))>
1.114 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
1.114 * * [simplify]: iters left: 6 (9 enodes)
1.119 * * [simplify]: iters left: 5 (49 enodes)
1.138 * * [simplify]: iters left: 4 (116 enodes)
1.188 * * [simplify]: iters left: 3 (231 enodes)
1.277 * * [simplify]: iters left: 2 (363 enodes)
1.398 * * [simplify]: Extracting #0: cost 1 inf + 0
1.398 * * [simplify]: Extracting #1: cost 20 inf + 0
1.398 * * [simplify]: Extracting #2: cost 146 inf + 0
1.399 * * [simplify]: Extracting #3: cost 200 inf + 1989
1.403 * * [simplify]: Extracting #4: cost 63 inf + 22827
1.411 * * [simplify]: Extracting #5: cost 0 inf + 34174
1.418 * * [simplify]: Extracting #6: cost 0 inf + 34134
1.425 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))
1.425 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))))
1.425 * * * * [progress]: [ 29 / 65 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))>
1.425 * [simplify]: Simplifying (- (* c c) (* d d))
1.426 * * [simplify]: iters left: 4 (5 enodes)
1.427 * * [simplify]: iters left: 3 (20 enodes)
1.430 * * [simplify]: iters left: 2 (33 enodes)
1.439 * * [simplify]: iters left: 1 (50 enodes)
1.455 * * [simplify]: Extracting #0: cost 1 inf + 0
1.455 * * [simplify]: Extracting #1: cost 11 inf + 0
1.456 * * [simplify]: Extracting #2: cost 29 inf + 0
1.456 * * [simplify]: Extracting #3: cost 19 inf + 455
1.457 * * [simplify]: Extracting #4: cost 0 inf + 2130
1.458 * * [simplify]: Extracting #5: cost 0 inf + 1970
1.460 * [simplify]: Simplified to (* (+ c d) (- c d))
1.460 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d))))
1.460 * * * * [progress]: [ 30 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))))>
1.460 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3))
1.460 * * [simplify]: iters left: 5 (10 enodes)
1.470 * * [simplify]: iters left: 4 (52 enodes)
1.485 * * [simplify]: iters left: 3 (145 enodes)
1.535 * * [simplify]: iters left: 2 (335 enodes)
1.638 * * [simplify]: Extracting #0: cost 1 inf + 0
1.638 * * [simplify]: Extracting #1: cost 4 inf + 0
1.638 * * [simplify]: Extracting #2: cost 51 inf + 0
1.639 * * [simplify]: Extracting #3: cost 124 inf + 950
1.642 * * [simplify]: Extracting #4: cost 89 inf + 8397
1.652 * * [simplify]: Extracting #5: cost 14 inf + 28399
1.659 * * [simplify]: Extracting #6: cost 1 inf + 33494
1.667 * * [simplify]: Extracting #7: cost 0 inf + 33747
1.675 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
1.675 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))))
1.675 * * * * [progress]: [ 31 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d)))))>
1.675 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d)))
1.676 * * [simplify]: iters left: 6 (9 enodes)
1.680 * * [simplify]: iters left: 5 (48 enodes)
1.697 * * [simplify]: iters left: 4 (111 enodes)
1.737 * * [simplify]: iters left: 3 (181 enodes)
1.788 * * [simplify]: iters left: 2 (262 enodes)
1.878 * * [simplify]: iters left: 1 (473 enodes)
2.029 * * [simplify]: Extracting #0: cost 1 inf + 0
2.029 * * [simplify]: Extracting #1: cost 22 inf + 0
2.030 * * [simplify]: Extracting #2: cost 110 inf + 0
2.034 * * [simplify]: Extracting #3: cost 142 inf + 1440
2.040 * * [simplify]: Extracting #4: cost 41 inf + 15973
2.047 * * [simplify]: Extracting #5: cost 0 inf + 23364
2.053 * * [simplify]: Extracting #6: cost 0 inf + 23124
2.061 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d)))
2.061 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d)))))
2.061 * * * * [progress]: [ 32 / 65 ] simplifiying candidate #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
2.062 * * * * [progress]: [ 33 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (* (exp (* a c)) (exp (* b d)))) (+ (* c c) (* d d))))>
2.062 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
2.062 * * [simplify]: iters left: 5 (9 enodes)
2.064 * * [simplify]: iters left: 4 (36 enodes)
2.069 * * [simplify]: iters left: 3 (55 enodes)
2.078 * * [simplify]: iters left: 2 (91 enodes)
2.095 * * [simplify]: iters left: 1 (191 enodes)
2.181 * * [simplify]: Extracting #0: cost 1 inf + 0
2.181 * * [simplify]: Extracting #1: cost 38 inf + 0
2.181 * * [simplify]: Extracting #2: cost 150 inf + 0
2.183 * * [simplify]: Extracting #3: cost 173 inf + 772
2.185 * * [simplify]: Extracting #4: cost 148 inf + 4628
2.189 * * [simplify]: Extracting #5: cost 93 inf + 18511
2.200 * * [simplify]: Extracting #6: cost 27 inf + 61555
2.219 * * [simplify]: Extracting #7: cost 0 inf + 82217
2.237 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
2.237 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d))))
2.237 * * * * [progress]: [ 34 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 35 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 36 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 37 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 38 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 39 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 40 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (+ (* c c) (* d d))))>
2.237 * * * * [progress]: [ 41 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (+ (* a c) (* b d))) (+ (* c c) (* d d))))>
2.238 * * * * [progress]: [ 42 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d))) (+ (* c c) (* d d))))>
2.238 * * * * [progress]: [ 43 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (posit16->real (real->posit16 (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.238 * * * * [progress]: [ 44 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))>
2.238 * * * * [progress]: [ 45 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (log (* (exp (* c c)) (exp (* d d))))))>
2.238 * [simplify]: Simplifying (* (exp (* c c)) (exp (* d d)))
2.238 * * [simplify]: iters left: 5 (7 enodes)
2.241 * * [simplify]: iters left: 4 (28 enodes)
2.249 * * [simplify]: iters left: 3 (43 enodes)
2.262 * * [simplify]: iters left: 2 (75 enodes)
2.289 * * [simplify]: iters left: 1 (169 enodes)
2.373 * * [simplify]: Extracting #0: cost 1 inf + 0
2.373 * * [simplify]: Extracting #1: cost 28 inf + 0
2.374 * * [simplify]: Extracting #2: cost 119 inf + 0
2.374 * * [simplify]: Extracting #3: cost 136 inf + 1135
2.375 * * [simplify]: Extracting #4: cost 131 inf + 1568
2.376 * * [simplify]: Extracting #5: cost 99 inf + 8302
2.384 * * [simplify]: Extracting #6: cost 11 inf + 60490
2.398 * * [simplify]: Extracting #7: cost 0 inf + 69564
2.411 * [simplify]: Simplified to (exp (+ (* c c) (* d d)))
2.412 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (log (exp (+ (* c c) (* d d))))))
2.412 * * * * [progress]: [ 46 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) 1)))>
2.412 * * * * [progress]: [ 47 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (exp (log (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 48 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (log (exp (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 49 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (* (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 50 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (cbrt (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 51 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 52 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (/ (+ (pow (* c c) 3) (pow (* d d) 3)) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))>
2.412 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (* 1 (+ (* c c) (* d d)))))>
2.412 * * * * [progress]: [ 54 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (/ (- (* (* c c) (* c c)) (* (* d d) (* d d))) (- (* c c) (* d d)))))>
2.412 * * * * [progress]: [ 55 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (posit16->real (real->posit16 (+ (* c c) (* d d))))))>
2.412 * * * * [progress]: [ 56 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))))>
2.412 * * * * [progress]: [ 57 / 65 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.413 * [simplify]: Simplifying 0
2.413 * * [simplify]: iters left: 0 (1 enodes)
2.414 * * [simplify]: Extracting #0: cost 1 inf + 0
2.414 * * [simplify]: Extracting #1: cost 0 inf + 1
2.414 * [simplify]: Simplified to 0
2.414 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.414 * * * * [progress]: [ 58 / 65 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.414 * [simplify]: Simplifying 0
2.414 * * [simplify]: iters left: 0 (1 enodes)
2.415 * * [simplify]: Extracting #0: cost 1 inf + 0
2.415 * * [simplify]: Extracting #1: cost 0 inf + 1
2.415 * [simplify]: Simplified to 0
2.416 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.416 * * * * [progress]: [ 59 / 65 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.416 * [simplify]: Simplifying 0
2.416 * * [simplify]: iters left: 0 (1 enodes)
2.417 * * [simplify]: Extracting #0: cost 1 inf + 0
2.417 * * [simplify]: Extracting #1: cost 0 inf + 1
2.417 * [simplify]: Simplified to 0
2.417 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.417 * * * * [progress]: [ 60 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ 0 (+ (* c c) (* d d))))>
2.417 * [simplify]: Simplifying 0
2.417 * * [simplify]: iters left: 0 (1 enodes)
2.418 * * [simplify]: Extracting #0: cost 1 inf + 0
2.418 * * [simplify]: Extracting #1: cost 0 inf + 1
2.418 * [simplify]: Simplified to 0
2.418 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d))))
2.418 * * * * [progress]: [ 61 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
2.419 * [simplify]: Simplifying (+ (* a c) (* b d))
2.419 * * [simplify]: iters left: 4 (7 enodes)
2.421 * * [simplify]: iters left: 3 (24 enodes)
2.427 * * [simplify]: Extracting #0: cost 1 inf + 0
2.427 * * [simplify]: Extracting #1: cost 4 inf + 0
2.427 * * [simplify]: Extracting #2: cost 10 inf + 0
2.428 * * [simplify]: Extracting #3: cost 6 inf + 4
2.428 * * [simplify]: Extracting #4: cost 1 inf + 296
2.428 * * [simplify]: Extracting #5: cost 0 inf + 420
2.428 * [simplify]: Simplified to (+ (* b d) (* a c))
2.428 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
2.428 * * * * [progress]: [ 62 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
2.429 * [simplify]: Simplifying (+ (* a c) (* b d))
2.429 * * [simplify]: iters left: 4 (7 enodes)
2.431 * * [simplify]: iters left: 3 (24 enodes)
2.437 * * [simplify]: Extracting #0: cost 1 inf + 0
2.437 * * [simplify]: Extracting #1: cost 4 inf + 0
2.437 * * [simplify]: Extracting #2: cost 10 inf + 0
2.437 * * [simplify]: Extracting #3: cost 6 inf + 4
2.438 * * [simplify]: Extracting #4: cost 1 inf + 296
2.438 * * [simplify]: Extracting #5: cost 0 inf + 420
2.438 * [simplify]: Simplified to (+ (* b d) (* a c))
2.438 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
2.438 * * * * [progress]: [ 63 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (pow d 2) (pow c 2))))>
2.439 * [simplify]: Simplifying (+ (pow d 2) (pow c 2))
2.439 * * [simplify]: iters left: 3 (6 enodes)
2.443 * * [simplify]: iters left: 2 (27 enodes)
2.454 * * [simplify]: iters left: 1 (31 enodes)
2.463 * * [simplify]: Extracting #0: cost 1 inf + 0
2.463 * * [simplify]: Extracting #1: cost 4 inf + 0
2.463 * * [simplify]: Extracting #2: cost 9 inf + 0
2.463 * * [simplify]: Extracting #3: cost 6 inf + 3
2.463 * * [simplify]: Extracting #4: cost 1 inf + 370
2.463 * * [simplify]: Extracting #5: cost 0 inf + 411
2.464 * [simplify]: Simplified to (+ (* d d) (* c c))
2.464 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))))
2.464 * * * * [progress]: [ 64 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))))>
2.464 * [simplify]: Simplifying (+ (pow c 2) (pow d 2))
2.464 * * [simplify]: iters left: 3 (6 enodes)
2.467 * * [simplify]: iters left: 2 (27 enodes)
2.471 * * [simplify]: iters left: 1 (31 enodes)
2.476 * * [simplify]: Extracting #0: cost 1 inf + 0
2.476 * * [simplify]: Extracting #1: cost 4 inf + 0
2.476 * * [simplify]: Extracting #2: cost 9 inf + 0
2.476 * * [simplify]: Extracting #3: cost 6 inf + 3
2.476 * * [simplify]: Extracting #4: cost 1 inf + 370
2.476 * * [simplify]: Extracting #5: cost 0 inf + 411
2.476 * [simplify]: Simplified to (+ (* c c) (* d d))
2.476 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
2.476 * * * * [progress]: [ 65 / 65 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))))>
2.476 * [simplify]: Simplifying (+ (pow c 2) (pow d 2))
2.476 * * [simplify]: iters left: 3 (6 enodes)
2.479 * * [simplify]: iters left: 2 (27 enodes)
2.483 * * [simplify]: iters left: 1 (31 enodes)
2.487 * * [simplify]: Extracting #0: cost 1 inf + 0
2.487 * * [simplify]: Extracting #1: cost 4 inf + 0
2.487 * * [simplify]: Extracting #2: cost 9 inf + 0
2.487 * * [simplify]: Extracting #3: cost 6 inf + 3
2.487 * * [simplify]: Extracting #4: cost 1 inf + 370
2.487 * * [simplify]: Extracting #5: cost 0 inf + 411
2.487 * [simplify]: Simplified to (+ (* c c) (* d d))
2.487 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
2.487 * * * [progress]: adding candidates to table
3.209 * * [progress]: iteration 2 / 4
3.209 * * * [progress]: picking best candidate
3.251 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
3.251 * * * [progress]: localizing error
3.289 * * * [progress]: generating rewritten candidates
3.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.295 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
3.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
3.342 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
3.350 * * * [progress]: generating series expansions
3.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.351 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
3.351 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
3.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
3.351 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.351 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.351 * [taylor]: Taking taylor expansion of c in d
3.351 * [backup-simplify]: Simplify c into c
3.351 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.351 * [taylor]: Taking taylor expansion of d in d
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.351 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.351 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.351 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
3.351 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
3.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.352 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.352 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.352 * [taylor]: Taking taylor expansion of c in c
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 1 into 1
3.352 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.352 * [taylor]: Taking taylor expansion of d in c
3.352 * [backup-simplify]: Simplify d into d
3.352 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.352 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.352 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.352 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.352 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.352 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.353 * [taylor]: Taking taylor expansion of c in c
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.353 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.353 * [taylor]: Taking taylor expansion of d in c
3.353 * [backup-simplify]: Simplify d into d
3.353 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.353 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.353 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.353 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.353 * [backup-simplify]: Simplify (+ 0 0) into 0
3.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.354 * [taylor]: Taking taylor expansion of d in d
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [taylor]: Taking taylor expansion of 0 in d
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [backup-simplify]: Simplify (* 1 1) into 1
3.355 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.355 * [backup-simplify]: Simplify (+ 1 0) into 1
3.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
3.355 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
3.355 * [taylor]: Taking taylor expansion of 1/2 in d
3.355 * [backup-simplify]: Simplify 1/2 into 1/2
3.355 * [taylor]: Taking taylor expansion of d in d
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.357 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.358 * [backup-simplify]: Simplify (+ 0 0) into 0
3.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
3.358 * [taylor]: Taking taylor expansion of 0 in d
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
3.359 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.359 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.359 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.359 * [taylor]: Taking taylor expansion of c in d
3.359 * [backup-simplify]: Simplify c into c
3.359 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.359 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.359 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.359 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.359 * [taylor]: Taking taylor expansion of d in d
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (* 1 1) into 1
3.359 * [backup-simplify]: Simplify (/ 1 1) into 1
3.360 * [backup-simplify]: Simplify (+ 0 1) into 1
3.360 * [backup-simplify]: Simplify (sqrt 1) into 1
3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.361 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.361 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.362 * [taylor]: Taking taylor expansion of c in c
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 1 into 1
3.362 * [backup-simplify]: Simplify (* 1 1) into 1
3.362 * [backup-simplify]: Simplify (/ 1 1) into 1
3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.362 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.362 * [taylor]: Taking taylor expansion of d in c
3.362 * [backup-simplify]: Simplify d into d
3.362 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.362 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.362 * [backup-simplify]: Simplify (+ 1 0) into 1
3.363 * [backup-simplify]: Simplify (sqrt 1) into 1
3.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.364 * [backup-simplify]: Simplify (+ 0 0) into 0
3.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.364 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.364 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.364 * [taylor]: Taking taylor expansion of c in c
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (* 1 1) into 1
3.365 * [backup-simplify]: Simplify (/ 1 1) into 1
3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.365 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.365 * [taylor]: Taking taylor expansion of d in c
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 0) into 1
3.366 * [backup-simplify]: Simplify (sqrt 1) into 1
3.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.367 * [backup-simplify]: Simplify (+ 0 0) into 0
3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.367 * [taylor]: Taking taylor expansion of 1 in d
3.367 * [backup-simplify]: Simplify 1 into 1
3.367 * [taylor]: Taking taylor expansion of 0 in d
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.368 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.369 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.369 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.369 * [taylor]: Taking taylor expansion of 1/2 in d
3.369 * [backup-simplify]: Simplify 1/2 into 1/2
3.369 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.369 * [taylor]: Taking taylor expansion of d in d
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (* 1 1) into 1
3.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify 0 into 0
3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.372 * [backup-simplify]: Simplify (+ 0 0) into 0
3.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.373 * [taylor]: Taking taylor expansion of 0 in d
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
3.374 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.374 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.374 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.374 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.374 * [taylor]: Taking taylor expansion of c in d
3.374 * [backup-simplify]: Simplify c into c
3.374 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.374 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.375 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.375 * [taylor]: Taking taylor expansion of d in d
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
3.375 * [backup-simplify]: Simplify (/ 1 1) into 1
3.375 * [backup-simplify]: Simplify (+ 0 1) into 1
3.376 * [backup-simplify]: Simplify (sqrt 1) into 1
3.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.377 * [backup-simplify]: Simplify (+ 0 0) into 0
3.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.377 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.377 * [taylor]: Taking taylor expansion of c in c
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [backup-simplify]: Simplify (* 1 1) into 1
3.378 * [backup-simplify]: Simplify (/ 1 1) into 1
3.378 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.378 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.378 * [taylor]: Taking taylor expansion of d in c
3.378 * [backup-simplify]: Simplify d into d
3.378 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.378 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.378 * [backup-simplify]: Simplify (+ 1 0) into 1
3.378 * [backup-simplify]: Simplify (sqrt 1) into 1
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.379 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.380 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.380 * [taylor]: Taking taylor expansion of c in c
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (* 1 1) into 1
3.380 * [backup-simplify]: Simplify (/ 1 1) into 1
3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.380 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.380 * [taylor]: Taking taylor expansion of d in c
3.381 * [backup-simplify]: Simplify d into d
3.381 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.381 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.381 * [backup-simplify]: Simplify (+ 1 0) into 1
3.381 * [backup-simplify]: Simplify (sqrt 1) into 1
3.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.382 * [backup-simplify]: Simplify (+ 0 0) into 0
3.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.383 * [taylor]: Taking taylor expansion of 1 in d
3.383 * [backup-simplify]: Simplify 1 into 1
3.383 * [taylor]: Taking taylor expansion of 0 in d
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.387 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.387 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.387 * [taylor]: Taking taylor expansion of 1/2 in d
3.387 * [backup-simplify]: Simplify 1/2 into 1/2
3.387 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.387 * [taylor]: Taking taylor expansion of d in d
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (* 1 1) into 1
3.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.393 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.394 * [taylor]: Taking taylor expansion of 0 in d
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
3.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
3.396 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
3.396 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
3.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
3.396 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.396 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.396 * [taylor]: Taking taylor expansion of c in d
3.396 * [backup-simplify]: Simplify c into c
3.396 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.396 * [taylor]: Taking taylor expansion of d in d
3.396 * [backup-simplify]: Simplify 0 into 0
3.396 * [backup-simplify]: Simplify 1 into 1
3.396 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.397 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.397 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
3.397 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
3.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.397 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.397 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.397 * [taylor]: Taking taylor expansion of c in c
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.397 * [taylor]: Taking taylor expansion of d in c
3.397 * [backup-simplify]: Simplify d into d
3.398 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.398 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.398 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.398 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.398 * [backup-simplify]: Simplify (+ 0 0) into 0
3.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
3.398 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.398 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.398 * [taylor]: Taking taylor expansion of c in c
3.398 * [backup-simplify]: Simplify 0 into 0
3.398 * [backup-simplify]: Simplify 1 into 1
3.398 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.398 * [taylor]: Taking taylor expansion of d in c
3.398 * [backup-simplify]: Simplify d into d
3.399 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.399 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.399 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
3.399 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.399 * [backup-simplify]: Simplify (+ 0 0) into 0
3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
3.399 * [taylor]: Taking taylor expansion of d in d
3.399 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [taylor]: Taking taylor expansion of 0 in d
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (* 1 1) into 1
3.400 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.401 * [backup-simplify]: Simplify (+ 1 0) into 1
3.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
3.402 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
3.402 * [taylor]: Taking taylor expansion of 1/2 in d
3.402 * [backup-simplify]: Simplify 1/2 into 1/2
3.402 * [taylor]: Taking taylor expansion of d in d
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 1 into 1
3.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify 0 into 0
3.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.405 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.405 * [backup-simplify]: Simplify (+ 0 0) into 0
3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
3.406 * [taylor]: Taking taylor expansion of 0 in d
3.406 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
3.407 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.407 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.407 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.407 * [taylor]: Taking taylor expansion of c in d
3.407 * [backup-simplify]: Simplify c into c
3.407 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.408 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.408 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.408 * [taylor]: Taking taylor expansion of d in d
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.408 * [backup-simplify]: Simplify (* 1 1) into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.409 * [backup-simplify]: Simplify (+ 0 1) into 1
3.409 * [backup-simplify]: Simplify (sqrt 1) into 1
3.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.411 * [backup-simplify]: Simplify (+ 0 0) into 0
3.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.412 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.412 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.412 * [taylor]: Taking taylor expansion of c in c
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.412 * [backup-simplify]: Simplify (* 1 1) into 1
3.413 * [backup-simplify]: Simplify (/ 1 1) into 1
3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.413 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.413 * [taylor]: Taking taylor expansion of d in c
3.413 * [backup-simplify]: Simplify d into d
3.413 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.413 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.413 * [backup-simplify]: Simplify (+ 1 0) into 1
3.414 * [backup-simplify]: Simplify (sqrt 1) into 1
3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.416 * [backup-simplify]: Simplify (+ 0 0) into 0
3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.417 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.417 * [taylor]: Taking taylor expansion of c in c
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.417 * [backup-simplify]: Simplify (* 1 1) into 1
3.417 * [backup-simplify]: Simplify (/ 1 1) into 1
3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.418 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.418 * [taylor]: Taking taylor expansion of d in c
3.418 * [backup-simplify]: Simplify d into d
3.418 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.418 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.418 * [backup-simplify]: Simplify (+ 1 0) into 1
3.419 * [backup-simplify]: Simplify (sqrt 1) into 1
3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.420 * [backup-simplify]: Simplify (+ 0 0) into 0
3.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.421 * [taylor]: Taking taylor expansion of 1 in d
3.421 * [backup-simplify]: Simplify 1 into 1
3.421 * [taylor]: Taking taylor expansion of 0 in d
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 1 into 1
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.425 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.425 * [taylor]: Taking taylor expansion of 1/2 in d
3.425 * [backup-simplify]: Simplify 1/2 into 1/2
3.425 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.425 * [taylor]: Taking taylor expansion of d in d
3.425 * [backup-simplify]: Simplify 0 into 0
3.425 * [backup-simplify]: Simplify 1 into 1
3.425 * [backup-simplify]: Simplify (* 1 1) into 1
3.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.429 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.430 * [backup-simplify]: Simplify (+ 0 0) into 0
3.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.430 * [taylor]: Taking taylor expansion of 0 in d
3.430 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
3.432 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.432 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
3.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.432 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.432 * [taylor]: Taking taylor expansion of c in d
3.432 * [backup-simplify]: Simplify c into c
3.432 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.432 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.432 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.432 * [taylor]: Taking taylor expansion of d in d
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 1 into 1
3.433 * [backup-simplify]: Simplify (* 1 1) into 1
3.433 * [backup-simplify]: Simplify (/ 1 1) into 1
3.433 * [backup-simplify]: Simplify (+ 0 1) into 1
3.433 * [backup-simplify]: Simplify (sqrt 1) into 1
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.434 * [backup-simplify]: Simplify (+ 0 0) into 0
3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.435 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.435 * [taylor]: Taking taylor expansion of c in c
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 1 into 1
3.435 * [backup-simplify]: Simplify (* 1 1) into 1
3.435 * [backup-simplify]: Simplify (/ 1 1) into 1
3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.435 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.435 * [taylor]: Taking taylor expansion of d in c
3.435 * [backup-simplify]: Simplify d into d
3.436 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.436 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.436 * [backup-simplify]: Simplify (+ 1 0) into 1
3.436 * [backup-simplify]: Simplify (sqrt 1) into 1
3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.437 * [backup-simplify]: Simplify (+ 0 0) into 0
3.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.438 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.438 * [taylor]: Taking taylor expansion of c in c
3.438 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify 1 into 1
3.438 * [backup-simplify]: Simplify (* 1 1) into 1
3.438 * [backup-simplify]: Simplify (/ 1 1) into 1
3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.438 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.438 * [taylor]: Taking taylor expansion of d in c
3.438 * [backup-simplify]: Simplify d into d
3.438 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.438 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.439 * [backup-simplify]: Simplify (+ 1 0) into 1
3.439 * [backup-simplify]: Simplify (sqrt 1) into 1
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.445 * [taylor]: Taking taylor expansion of 1 in d
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [taylor]: Taking taylor expansion of 0 in d
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
3.447 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
3.447 * [taylor]: Taking taylor expansion of 1/2 in d
3.447 * [backup-simplify]: Simplify 1/2 into 1/2
3.447 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.447 * [taylor]: Taking taylor expansion of d in d
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
3.451 * [taylor]: Taking taylor expansion of 0 in d
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
3.452 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
3.452 * [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)))))
3.452 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
3.452 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
3.452 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
3.452 * [taylor]: Taking taylor expansion of (* a c) in d
3.452 * [taylor]: Taking taylor expansion of a in d
3.452 * [backup-simplify]: Simplify a into a
3.452 * [taylor]: Taking taylor expansion of c in d
3.452 * [backup-simplify]: Simplify c into c
3.452 * [taylor]: Taking taylor expansion of (* b d) in d
3.452 * [taylor]: Taking taylor expansion of b in d
3.452 * [backup-simplify]: Simplify b into b
3.452 * [taylor]: Taking taylor expansion of d in d
3.452 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
3.453 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
3.453 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
3.453 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.453 * [taylor]: Taking taylor expansion of c in d
3.453 * [backup-simplify]: Simplify c into c
3.453 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.453 * [taylor]: Taking taylor expansion of d in d
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.453 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
3.453 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.453 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
3.453 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
3.453 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
3.453 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
3.453 * [taylor]: Taking taylor expansion of (* a c) in b
3.453 * [taylor]: Taking taylor expansion of a in b
3.453 * [backup-simplify]: Simplify a into a
3.454 * [taylor]: Taking taylor expansion of c in b
3.454 * [backup-simplify]: Simplify c into c
3.454 * [taylor]: Taking taylor expansion of (* b d) in b
3.454 * [taylor]: Taking taylor expansion of b in b
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [taylor]: Taking taylor expansion of d in b
3.454 * [backup-simplify]: Simplify d into d
3.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
3.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
3.454 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
3.454 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.454 * [taylor]: Taking taylor expansion of c in b
3.454 * [backup-simplify]: Simplify c into c
3.454 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.454 * [taylor]: Taking taylor expansion of d in b
3.454 * [backup-simplify]: Simplify d into d
3.454 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.454 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.454 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.454 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.454 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.454 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.454 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.455 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.455 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
3.455 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
3.455 * [taylor]: Taking taylor expansion of (* a c) in c
3.455 * [taylor]: Taking taylor expansion of a in c
3.455 * [backup-simplify]: Simplify a into a
3.455 * [taylor]: Taking taylor expansion of c in c
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [taylor]: Taking taylor expansion of (* b d) in c
3.455 * [taylor]: Taking taylor expansion of b in c
3.455 * [backup-simplify]: Simplify b into b
3.455 * [taylor]: Taking taylor expansion of d in c
3.455 * [backup-simplify]: Simplify d into d
3.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.455 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.455 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.455 * [taylor]: Taking taylor expansion of c in c
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.455 * [taylor]: Taking taylor expansion of d in c
3.455 * [backup-simplify]: Simplify d into d
3.455 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.455 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.456 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.456 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.456 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.456 * [backup-simplify]: Simplify (+ 0 0) into 0
3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.456 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
3.456 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.456 * [taylor]: Taking taylor expansion of (* a c) in a
3.456 * [taylor]: Taking taylor expansion of a in a
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify 1 into 1
3.456 * [taylor]: Taking taylor expansion of c in a
3.456 * [backup-simplify]: Simplify c into c
3.456 * [taylor]: Taking taylor expansion of (* b d) in a
3.456 * [taylor]: Taking taylor expansion of b in a
3.456 * [backup-simplify]: Simplify b into b
3.456 * [taylor]: Taking taylor expansion of d in a
3.456 * [backup-simplify]: Simplify d into d
3.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
3.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
3.456 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.456 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.456 * [taylor]: Taking taylor expansion of c in a
3.456 * [backup-simplify]: Simplify c into c
3.456 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.456 * [taylor]: Taking taylor expansion of d in a
3.456 * [backup-simplify]: Simplify d into d
3.456 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.457 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.457 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.457 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.457 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.457 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.457 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.457 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
3.457 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.457 * [taylor]: Taking taylor expansion of (* a c) in a
3.458 * [taylor]: Taking taylor expansion of a in a
3.458 * [backup-simplify]: Simplify 0 into 0
3.458 * [backup-simplify]: Simplify 1 into 1
3.458 * [taylor]: Taking taylor expansion of c in a
3.458 * [backup-simplify]: Simplify c into c
3.458 * [taylor]: Taking taylor expansion of (* b d) in a
3.458 * [taylor]: Taking taylor expansion of b in a
3.458 * [backup-simplify]: Simplify b into b
3.458 * [taylor]: Taking taylor expansion of d in a
3.458 * [backup-simplify]: Simplify d into d
3.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
3.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
3.458 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
3.458 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.458 * [taylor]: Taking taylor expansion of c in a
3.458 * [backup-simplify]: Simplify c into c
3.458 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.458 * [taylor]: Taking taylor expansion of d in a
3.458 * [backup-simplify]: Simplify d into d
3.458 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.458 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.458 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
3.458 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
3.458 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
3.458 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.458 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.459 * [backup-simplify]: Simplify (* 0 c) into 0
3.459 * [backup-simplify]: Simplify (* b d) into (* b d)
3.460 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.460 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
3.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
3.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.460 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.460 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.460 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.460 * [taylor]: Taking taylor expansion of c in c
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 1 into 1
3.460 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.460 * [taylor]: Taking taylor expansion of d in c
3.460 * [backup-simplify]: Simplify d into d
3.460 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.460 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.460 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.460 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.460 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.461 * [taylor]: Taking taylor expansion of (* b d) in c
3.461 * [taylor]: Taking taylor expansion of b in c
3.461 * [backup-simplify]: Simplify b into b
3.461 * [taylor]: Taking taylor expansion of d in c
3.461 * [backup-simplify]: Simplify d into d
3.461 * [backup-simplify]: Simplify (* b d) into (* b d)
3.461 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
3.462 * [taylor]: Taking taylor expansion of b in b
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.462 * [taylor]: Taking taylor expansion of 0 in d
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.462 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.462 * [backup-simplify]: Simplify (+ c 0) into c
3.463 * [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)))))
3.463 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
3.463 * [taylor]: Taking taylor expansion of c in c
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
3.463 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
3.463 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
3.463 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.463 * [taylor]: Taking taylor expansion of c in c
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.463 * [taylor]: Taking taylor expansion of d in c
3.463 * [backup-simplify]: Simplify d into d
3.463 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.463 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
3.463 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.463 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
3.463 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.464 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
3.464 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
3.464 * [taylor]: Taking taylor expansion of 0 in b
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [taylor]: Taking taylor expansion of 0 in d
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.465 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
3.465 * [taylor]: Taking taylor expansion of 0 in b
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [taylor]: Taking taylor expansion of 0 in d
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [taylor]: Taking taylor expansion of 1 in d
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.466 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.467 * [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
3.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
3.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.469 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.469 * [backup-simplify]: Simplify (+ 0 0) into 0
3.469 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
3.469 * [taylor]: Taking taylor expansion of 0 in c
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [taylor]: Taking taylor expansion of 0 in b
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [taylor]: Taking taylor expansion of 0 in d
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
3.470 * [taylor]: Taking taylor expansion of (/ 1 d) in b
3.470 * [taylor]: Taking taylor expansion of d in b
3.470 * [backup-simplify]: Simplify d into d
3.470 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.470 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.470 * [taylor]: Taking taylor expansion of d in d
3.470 * [backup-simplify]: Simplify 0 into 0
3.470 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (/ 1 1) into 1
3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.473 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.473 * [backup-simplify]: Simplify (+ 1 0) into 1
3.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
3.474 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
3.475 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
3.475 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
3.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
3.475 * [taylor]: Taking taylor expansion of 1/2 in b
3.475 * [backup-simplify]: Simplify 1/2 into 1/2
3.475 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
3.475 * [taylor]: Taking taylor expansion of b in b
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 1 into 1
3.475 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.475 * [taylor]: Taking taylor expansion of d in b
3.475 * [backup-simplify]: Simplify d into d
3.476 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.476 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.476 * [taylor]: Taking taylor expansion of 0 in d
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [taylor]: Taking taylor expansion of 0 in d
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [taylor]: Taking taylor expansion of 0 in d
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
3.477 * [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))))))
3.477 * [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
3.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
3.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.477 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.477 * [taylor]: Taking taylor expansion of (* b d) in d
3.477 * [taylor]: Taking taylor expansion of b in d
3.477 * [backup-simplify]: Simplify b into b
3.477 * [taylor]: Taking taylor expansion of d in d
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 1 into 1
3.477 * [backup-simplify]: Simplify (* b 0) into 0
3.478 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.478 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.478 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.478 * [taylor]: Taking taylor expansion of (* a c) in d
3.478 * [taylor]: Taking taylor expansion of a in d
3.478 * [backup-simplify]: Simplify a into a
3.478 * [taylor]: Taking taylor expansion of c in d
3.478 * [backup-simplify]: Simplify c into c
3.478 * [backup-simplify]: Simplify (* a c) into (* a c)
3.478 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
3.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.478 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.478 * [taylor]: Taking taylor expansion of c in d
3.478 * [backup-simplify]: Simplify c into c
3.478 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.478 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.478 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.478 * [taylor]: Taking taylor expansion of d in d
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.479 * [backup-simplify]: Simplify (* 1 1) into 1
3.479 * [backup-simplify]: Simplify (/ 1 1) into 1
3.479 * [backup-simplify]: Simplify (+ 0 1) into 1
3.480 * [backup-simplify]: Simplify (/ 1 1) into 1
3.480 * [backup-simplify]: Simplify (sqrt 1) into 1
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (+ 0 0) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.483 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
3.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.484 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.484 * [taylor]: Taking taylor expansion of (* b d) in b
3.484 * [taylor]: Taking taylor expansion of b in b
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 1 into 1
3.484 * [taylor]: Taking taylor expansion of d in b
3.484 * [backup-simplify]: Simplify d into d
3.484 * [backup-simplify]: Simplify (* 0 d) into 0
3.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.484 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.484 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.484 * [taylor]: Taking taylor expansion of (* a c) in b
3.484 * [taylor]: Taking taylor expansion of a in b
3.484 * [backup-simplify]: Simplify a into a
3.484 * [taylor]: Taking taylor expansion of c in b
3.484 * [backup-simplify]: Simplify c into c
3.484 * [backup-simplify]: Simplify (* a c) into (* a c)
3.485 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
3.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.485 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.485 * [taylor]: Taking taylor expansion of c in b
3.485 * [backup-simplify]: Simplify c into c
3.485 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.485 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.485 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.485 * [taylor]: Taking taylor expansion of d in b
3.485 * [backup-simplify]: Simplify d into d
3.485 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.485 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.485 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.485 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.486 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.486 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.486 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.487 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.487 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.487 * [taylor]: Taking taylor expansion of (* b d) in c
3.487 * [taylor]: Taking taylor expansion of b in c
3.487 * [backup-simplify]: Simplify b into b
3.487 * [taylor]: Taking taylor expansion of d in c
3.487 * [backup-simplify]: Simplify d into d
3.488 * [backup-simplify]: Simplify (* b d) into (* b d)
3.488 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.488 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.488 * [taylor]: Taking taylor expansion of (* a c) in c
3.488 * [taylor]: Taking taylor expansion of a in c
3.488 * [backup-simplify]: Simplify a into a
3.488 * [taylor]: Taking taylor expansion of c in c
3.488 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify 1 into 1
3.488 * [backup-simplify]: Simplify (* a 0) into 0
3.488 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.489 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.489 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.489 * [taylor]: Taking taylor expansion of c in c
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 1 into 1
3.489 * [backup-simplify]: Simplify (* 1 1) into 1
3.489 * [backup-simplify]: Simplify (/ 1 1) into 1
3.489 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.490 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.490 * [taylor]: Taking taylor expansion of d in c
3.490 * [backup-simplify]: Simplify d into d
3.490 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.490 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.490 * [backup-simplify]: Simplify (+ 1 0) into 1
3.490 * [backup-simplify]: Simplify (/ 1 1) into 1
3.491 * [backup-simplify]: Simplify (sqrt 1) into 1
3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.492 * [backup-simplify]: Simplify (+ 0 0) into 0
3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.493 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.493 * [taylor]: Taking taylor expansion of (* b d) in a
3.493 * [taylor]: Taking taylor expansion of b in a
3.493 * [backup-simplify]: Simplify b into b
3.493 * [taylor]: Taking taylor expansion of d in a
3.493 * [backup-simplify]: Simplify d into d
3.493 * [backup-simplify]: Simplify (* b d) into (* b d)
3.493 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.493 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.493 * [taylor]: Taking taylor expansion of (* a c) in a
3.493 * [taylor]: Taking taylor expansion of a in a
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 1 into 1
3.493 * [taylor]: Taking taylor expansion of c in a
3.493 * [backup-simplify]: Simplify c into c
3.493 * [backup-simplify]: Simplify (* 0 c) into 0
3.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.493 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.493 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.493 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.493 * [taylor]: Taking taylor expansion of c in a
3.493 * [backup-simplify]: Simplify c into c
3.493 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.493 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.493 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.493 * [taylor]: Taking taylor expansion of d in a
3.493 * [backup-simplify]: Simplify d into d
3.493 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.494 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.494 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.494 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.494 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.494 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.494 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.495 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.495 * [taylor]: Taking taylor expansion of (* b d) in a
3.495 * [taylor]: Taking taylor expansion of b in a
3.495 * [backup-simplify]: Simplify b into b
3.495 * [taylor]: Taking taylor expansion of d in a
3.495 * [backup-simplify]: Simplify d into d
3.495 * [backup-simplify]: Simplify (* b d) into (* b d)
3.495 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.495 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.495 * [taylor]: Taking taylor expansion of (* a c) in a
3.495 * [taylor]: Taking taylor expansion of a in a
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 1 into 1
3.495 * [taylor]: Taking taylor expansion of c in a
3.495 * [backup-simplify]: Simplify c into c
3.495 * [backup-simplify]: Simplify (* 0 c) into 0
3.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.496 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.496 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.496 * [taylor]: Taking taylor expansion of c in a
3.496 * [backup-simplify]: Simplify c into c
3.496 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.496 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.496 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.496 * [taylor]: Taking taylor expansion of d in a
3.496 * [backup-simplify]: Simplify d into d
3.496 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.496 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.496 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.496 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.496 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.496 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.496 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.497 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.497 * [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))
3.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
3.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.497 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.497 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.497 * [taylor]: Taking taylor expansion of c in c
3.497 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.498 * [backup-simplify]: Simplify (* 1 1) into 1
3.498 * [backup-simplify]: Simplify (/ 1 1) into 1
3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.498 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.498 * [taylor]: Taking taylor expansion of d in c
3.498 * [backup-simplify]: Simplify d into d
3.498 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.498 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.498 * [backup-simplify]: Simplify (+ 1 0) into 1
3.499 * [backup-simplify]: Simplify (/ 1 1) into 1
3.499 * [backup-simplify]: Simplify (sqrt 1) into 1
3.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.500 * [backup-simplify]: Simplify (+ 0 0) into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.501 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.501 * [taylor]: Taking taylor expansion of c in c
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (/ 1 1) into 1
3.501 * [backup-simplify]: Simplify (* 1 1) into 1
3.501 * [taylor]: Taking taylor expansion of 1 in b
3.501 * [backup-simplify]: Simplify 1 into 1
3.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.502 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.502 * [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))))))
3.502 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.502 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.502 * [taylor]: Taking taylor expansion of (* b d) in c
3.502 * [taylor]: Taking taylor expansion of b in c
3.502 * [backup-simplify]: Simplify b into b
3.502 * [taylor]: Taking taylor expansion of d in c
3.502 * [backup-simplify]: Simplify d into d
3.502 * [backup-simplify]: Simplify (* b d) into (* b d)
3.502 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.503 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.503 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.503 * [taylor]: Taking taylor expansion of c in c
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (* 1 1) into 1
3.503 * [backup-simplify]: Simplify (/ 1 1) into 1
3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.503 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.503 * [taylor]: Taking taylor expansion of d in c
3.503 * [backup-simplify]: Simplify d into d
3.503 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.503 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.504 * [backup-simplify]: Simplify (+ 1 0) into 1
3.504 * [backup-simplify]: Simplify (/ 1 1) into 1
3.504 * [backup-simplify]: Simplify (sqrt 1) into 1
3.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.507 * [taylor]: Taking taylor expansion of 0 in b
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [taylor]: Taking taylor expansion of 1 in d
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.508 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.509 * [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
3.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.509 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.510 * [backup-simplify]: Simplify (+ 0 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
3.511 * [taylor]: Taking taylor expansion of 0 in c
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [taylor]: Taking taylor expansion of 0 in b
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
3.511 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.511 * [taylor]: Taking taylor expansion of (* b d) in b
3.511 * [taylor]: Taking taylor expansion of b in b
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [taylor]: Taking taylor expansion of d in b
3.511 * [backup-simplify]: Simplify d into d
3.511 * [backup-simplify]: Simplify (* 0 d) into 0
3.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.511 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.511 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.511 * [taylor]: Taking taylor expansion of d in d
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (/ 1 1) into 1
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.515 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
3.515 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
3.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
3.515 * [taylor]: Taking taylor expansion of 1/2 in b
3.515 * [backup-simplify]: Simplify 1/2 into 1/2
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.515 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.515 * [taylor]: Taking taylor expansion of d in b
3.515 * [backup-simplify]: Simplify d into d
3.515 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.516 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.516 * [taylor]: Taking taylor expansion of 0 in d
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [taylor]: Taking taylor expansion of 0 in d
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.517 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.517 * [backup-simplify]: Simplify (+ 0 0) into 0
3.518 * [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
3.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.519 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [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
3.522 * [taylor]: Taking taylor expansion of 0 in c
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [taylor]: Taking taylor expansion of 0 in b
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [taylor]: Taking taylor expansion of 0 in b
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.523 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
3.523 * [taylor]: Taking taylor expansion of 0 in b
3.523 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.526 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.526 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
3.529 * [taylor]: Taking taylor expansion of 0 in b
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [taylor]: Taking taylor expansion of 0 in d
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.531 * [taylor]: Taking taylor expansion of 0 in d
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
3.531 * [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))))))
3.532 * [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
3.532 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
3.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.532 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.532 * [taylor]: Taking taylor expansion of (* b d) in d
3.532 * [taylor]: Taking taylor expansion of b in d
3.532 * [backup-simplify]: Simplify b into b
3.532 * [taylor]: Taking taylor expansion of d in d
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.532 * [backup-simplify]: Simplify (* b 0) into 0
3.532 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.533 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.533 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.533 * [taylor]: Taking taylor expansion of (* a c) in d
3.533 * [taylor]: Taking taylor expansion of a in d
3.533 * [backup-simplify]: Simplify a into a
3.533 * [taylor]: Taking taylor expansion of c in d
3.533 * [backup-simplify]: Simplify c into c
3.533 * [backup-simplify]: Simplify (* a c) into (* a c)
3.533 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
3.533 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
3.533 * [taylor]: Taking taylor expansion of (pow c 2) in d
3.533 * [taylor]: Taking taylor expansion of c in d
3.533 * [backup-simplify]: Simplify c into c
3.533 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.533 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
3.533 * [taylor]: Taking taylor expansion of (pow d 2) in d
3.533 * [taylor]: Taking taylor expansion of d in d
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (* 1 1) into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.534 * [backup-simplify]: Simplify (+ 0 1) into 1
3.535 * [backup-simplify]: Simplify (/ 1 1) into 1
3.535 * [backup-simplify]: Simplify (sqrt 1) into 1
3.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (+ 0 0) into 0
3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.538 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.538 * [taylor]: Taking taylor expansion of (* b d) in b
3.538 * [taylor]: Taking taylor expansion of b in b
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.539 * [taylor]: Taking taylor expansion of d in b
3.539 * [backup-simplify]: Simplify d into d
3.539 * [backup-simplify]: Simplify (* 0 d) into 0
3.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.539 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.539 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.539 * [taylor]: Taking taylor expansion of (* a c) in b
3.539 * [taylor]: Taking taylor expansion of a in b
3.539 * [backup-simplify]: Simplify a into a
3.539 * [taylor]: Taking taylor expansion of c in b
3.539 * [backup-simplify]: Simplify c into c
3.539 * [backup-simplify]: Simplify (* a c) into (* a c)
3.539 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
3.539 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
3.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
3.539 * [taylor]: Taking taylor expansion of (pow c 2) in b
3.540 * [taylor]: Taking taylor expansion of c in b
3.540 * [backup-simplify]: Simplify c into c
3.540 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.540 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.540 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.540 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.540 * [taylor]: Taking taylor expansion of d in b
3.540 * [backup-simplify]: Simplify d into d
3.540 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.540 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.540 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.540 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.540 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.541 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.541 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.542 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.542 * [taylor]: Taking taylor expansion of (* b d) in c
3.542 * [taylor]: Taking taylor expansion of b in c
3.542 * [backup-simplify]: Simplify b into b
3.542 * [taylor]: Taking taylor expansion of d in c
3.542 * [backup-simplify]: Simplify d into d
3.542 * [backup-simplify]: Simplify (* b d) into (* b d)
3.542 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.542 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.542 * [taylor]: Taking taylor expansion of (* a c) in c
3.542 * [taylor]: Taking taylor expansion of a in c
3.542 * [backup-simplify]: Simplify a into a
3.542 * [taylor]: Taking taylor expansion of c in c
3.542 * [backup-simplify]: Simplify 0 into 0
3.543 * [backup-simplify]: Simplify 1 into 1
3.543 * [backup-simplify]: Simplify (* a 0) into 0
3.543 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.543 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.543 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.543 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.543 * [taylor]: Taking taylor expansion of c in c
3.543 * [backup-simplify]: Simplify 0 into 0
3.543 * [backup-simplify]: Simplify 1 into 1
3.544 * [backup-simplify]: Simplify (* 1 1) into 1
3.544 * [backup-simplify]: Simplify (/ 1 1) into 1
3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.544 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.544 * [taylor]: Taking taylor expansion of d in c
3.544 * [backup-simplify]: Simplify d into d
3.544 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.544 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.545 * [backup-simplify]: Simplify (+ 1 0) into 1
3.545 * [backup-simplify]: Simplify (/ 1 1) into 1
3.545 * [backup-simplify]: Simplify (sqrt 1) into 1
3.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify (+ 0 0) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.548 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.549 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.549 * [taylor]: Taking taylor expansion of (* b d) in a
3.549 * [taylor]: Taking taylor expansion of b in a
3.549 * [backup-simplify]: Simplify b into b
3.549 * [taylor]: Taking taylor expansion of d in a
3.549 * [backup-simplify]: Simplify d into d
3.549 * [backup-simplify]: Simplify (* b d) into (* b d)
3.549 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.549 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.549 * [taylor]: Taking taylor expansion of (* a c) in a
3.549 * [taylor]: Taking taylor expansion of a in a
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [taylor]: Taking taylor expansion of c in a
3.549 * [backup-simplify]: Simplify c into c
3.549 * [backup-simplify]: Simplify (* 0 c) into 0
3.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.550 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.550 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.550 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.550 * [taylor]: Taking taylor expansion of c in a
3.550 * [backup-simplify]: Simplify c into c
3.550 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.550 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.550 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.550 * [taylor]: Taking taylor expansion of d in a
3.550 * [backup-simplify]: Simplify d into d
3.550 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.550 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.550 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.550 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.551 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.551 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.551 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.552 * [backup-simplify]: Simplify (+ 0 0) into 0
3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.552 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
3.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.552 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.552 * [taylor]: Taking taylor expansion of (* b d) in a
3.552 * [taylor]: Taking taylor expansion of b in a
3.552 * [backup-simplify]: Simplify b into b
3.552 * [taylor]: Taking taylor expansion of d in a
3.552 * [backup-simplify]: Simplify d into d
3.552 * [backup-simplify]: Simplify (* b d) into (* b d)
3.553 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.553 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.553 * [taylor]: Taking taylor expansion of (* a c) in a
3.553 * [taylor]: Taking taylor expansion of a in a
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [taylor]: Taking taylor expansion of c in a
3.553 * [backup-simplify]: Simplify c into c
3.553 * [backup-simplify]: Simplify (* 0 c) into 0
3.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.553 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
3.553 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
3.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
3.553 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
3.553 * [taylor]: Taking taylor expansion of (pow c 2) in a
3.553 * [taylor]: Taking taylor expansion of c in a
3.553 * [backup-simplify]: Simplify c into c
3.554 * [backup-simplify]: Simplify (* c c) into (pow c 2)
3.554 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
3.554 * [taylor]: Taking taylor expansion of (pow d 2) in a
3.554 * [taylor]: Taking taylor expansion of d in a
3.554 * [backup-simplify]: Simplify d into d
3.554 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.554 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.554 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
3.555 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
3.555 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
3.555 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
3.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
3.555 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.556 * [backup-simplify]: Simplify (+ 0 0) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.557 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.557 * [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))
3.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
3.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.557 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.557 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.557 * [taylor]: Taking taylor expansion of c in c
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.558 * [backup-simplify]: Simplify (* 1 1) into 1
3.558 * [backup-simplify]: Simplify (/ 1 1) into 1
3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.558 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.558 * [taylor]: Taking taylor expansion of d in c
3.558 * [backup-simplify]: Simplify d into d
3.558 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.558 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.559 * [backup-simplify]: Simplify (+ 1 0) into 1
3.559 * [backup-simplify]: Simplify (/ 1 1) into 1
3.559 * [backup-simplify]: Simplify (sqrt 1) into 1
3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.563 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.563 * [taylor]: Taking taylor expansion of c in c
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 1 into 1
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [backup-simplify]: Simplify (* 1 1) into 1
3.564 * [taylor]: Taking taylor expansion of 1 in b
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.565 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.565 * [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))))))
3.565 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
3.565 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.565 * [taylor]: Taking taylor expansion of (* b d) in c
3.565 * [taylor]: Taking taylor expansion of b in c
3.565 * [backup-simplify]: Simplify b into b
3.565 * [taylor]: Taking taylor expansion of d in c
3.565 * [backup-simplify]: Simplify d into d
3.565 * [backup-simplify]: Simplify (* b d) into (* b d)
3.565 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
3.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
3.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
3.565 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
3.565 * [taylor]: Taking taylor expansion of (pow c 2) in c
3.566 * [taylor]: Taking taylor expansion of c in c
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (* 1 1) into 1
3.571 * [backup-simplify]: Simplify (/ 1 1) into 1
3.571 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
3.571 * [taylor]: Taking taylor expansion of (pow d 2) in c
3.571 * [taylor]: Taking taylor expansion of d in c
3.572 * [backup-simplify]: Simplify d into d
3.572 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.572 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.572 * [backup-simplify]: Simplify (+ 1 0) into 1
3.573 * [backup-simplify]: Simplify (/ 1 1) into 1
3.573 * [backup-simplify]: Simplify (sqrt 1) into 1
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.575 * [backup-simplify]: Simplify (+ 0 0) into 0
3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.578 * [taylor]: Taking taylor expansion of 0 in b
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [taylor]: Taking taylor expansion of 1 in d
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify 1 into 1
3.579 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
3.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.579 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
3.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.580 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [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
3.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.582 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
3.584 * [taylor]: Taking taylor expansion of 0 in c
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [taylor]: Taking taylor expansion of 0 in b
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
3.584 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.584 * [taylor]: Taking taylor expansion of (* b d) in b
3.584 * [taylor]: Taking taylor expansion of b in b
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [taylor]: Taking taylor expansion of d in b
3.584 * [backup-simplify]: Simplify d into d
3.584 * [backup-simplify]: Simplify (* 0 d) into 0
3.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.585 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.585 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.585 * [taylor]: Taking taylor expansion of d in d
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (/ 1 1) into 1
3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
3.589 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
3.590 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
3.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
3.590 * [taylor]: Taking taylor expansion of 1/2 in b
3.590 * [backup-simplify]: Simplify 1/2 into 1/2
3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
3.590 * [taylor]: Taking taylor expansion of (pow d 2) in b
3.590 * [taylor]: Taking taylor expansion of d in b
3.590 * [backup-simplify]: Simplify d into d
3.590 * [backup-simplify]: Simplify (* d d) into (pow d 2)
3.590 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
3.590 * [taylor]: Taking taylor expansion of 0 in d
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [taylor]: Taking taylor expansion of 0 in d
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
3.591 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [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
3.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
3.593 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.595 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [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
3.595 * [taylor]: Taking taylor expansion of 0 in c
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [taylor]: Taking taylor expansion of 0 in b
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [taylor]: Taking taylor expansion of 0 in b
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.596 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
3.596 * [taylor]: Taking taylor expansion of 0 in b
3.596 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
3.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
3.600 * [taylor]: Taking taylor expansion of 0 in b
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [taylor]: Taking taylor expansion of 0 in d
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.600 * [taylor]: Taking taylor expansion of 0 in d
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
3.600 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
3.601 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
3.601 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
3.601 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
3.601 * [taylor]: Taking taylor expansion of (* a c) in d
3.601 * [taylor]: Taking taylor expansion of a in d
3.601 * [backup-simplify]: Simplify a into a
3.601 * [taylor]: Taking taylor expansion of c in d
3.601 * [backup-simplify]: Simplify c into c
3.601 * [taylor]: Taking taylor expansion of (* b d) in d
3.601 * [taylor]: Taking taylor expansion of b in d
3.601 * [backup-simplify]: Simplify b into b
3.601 * [taylor]: Taking taylor expansion of d in d
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
3.601 * [taylor]: Taking taylor expansion of (* a c) in b
3.601 * [taylor]: Taking taylor expansion of a in b
3.601 * [backup-simplify]: Simplify a into a
3.601 * [taylor]: Taking taylor expansion of c in b
3.601 * [backup-simplify]: Simplify c into c
3.601 * [taylor]: Taking taylor expansion of (* b d) in b
3.601 * [taylor]: Taking taylor expansion of b in b
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of d in b
3.601 * [backup-simplify]: Simplify d into d
3.601 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
3.601 * [taylor]: Taking taylor expansion of (* a c) in c
3.601 * [taylor]: Taking taylor expansion of a in c
3.601 * [backup-simplify]: Simplify a into a
3.601 * [taylor]: Taking taylor expansion of c in c
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of (* b d) in c
3.601 * [taylor]: Taking taylor expansion of b in c
3.601 * [backup-simplify]: Simplify b into b
3.601 * [taylor]: Taking taylor expansion of d in c
3.601 * [backup-simplify]: Simplify d into d
3.601 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.601 * [taylor]: Taking taylor expansion of (* a c) in a
3.601 * [taylor]: Taking taylor expansion of a in a
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of c in a
3.601 * [backup-simplify]: Simplify c into c
3.601 * [taylor]: Taking taylor expansion of (* b d) in a
3.601 * [taylor]: Taking taylor expansion of b in a
3.601 * [backup-simplify]: Simplify b into b
3.601 * [taylor]: Taking taylor expansion of d in a
3.601 * [backup-simplify]: Simplify d into d
3.601 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
3.601 * [taylor]: Taking taylor expansion of (* a c) in a
3.601 * [taylor]: Taking taylor expansion of a in a
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [taylor]: Taking taylor expansion of c in a
3.601 * [backup-simplify]: Simplify c into c
3.601 * [taylor]: Taking taylor expansion of (* b d) in a
3.601 * [taylor]: Taking taylor expansion of b in a
3.601 * [backup-simplify]: Simplify b into b
3.601 * [taylor]: Taking taylor expansion of d in a
3.601 * [backup-simplify]: Simplify d into d
3.601 * [backup-simplify]: Simplify (* 0 c) into 0
3.602 * [backup-simplify]: Simplify (* b d) into (* b d)
3.602 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
3.602 * [taylor]: Taking taylor expansion of (* b d) in c
3.602 * [taylor]: Taking taylor expansion of b in c
3.602 * [backup-simplify]: Simplify b into b
3.602 * [taylor]: Taking taylor expansion of d in c
3.602 * [backup-simplify]: Simplify d into d
3.602 * [backup-simplify]: Simplify (* b d) into (* b d)
3.602 * [taylor]: Taking taylor expansion of (* b d) in b
3.602 * [taylor]: Taking taylor expansion of b in b
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.602 * [taylor]: Taking taylor expansion of d in b
3.602 * [backup-simplify]: Simplify d into d
3.602 * [backup-simplify]: Simplify (* 0 d) into 0
3.602 * [taylor]: Taking taylor expansion of 0 in d
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.602 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.602 * [backup-simplify]: Simplify (+ c 0) into c
3.602 * [taylor]: Taking taylor expansion of c in c
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 1 into 1
3.602 * [taylor]: Taking taylor expansion of 0 in b
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [taylor]: Taking taylor expansion of 0 in d
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.602 * [taylor]: Taking taylor expansion of 0 in b
3.602 * [backup-simplify]: Simplify 0 into 0
3.602 * [taylor]: Taking taylor expansion of 0 in d
3.602 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.603 * [taylor]: Taking taylor expansion of d in d
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.604 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.604 * [taylor]: Taking taylor expansion of 0 in c
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [taylor]: Taking taylor expansion of 0 in b
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [taylor]: Taking taylor expansion of 0 in d
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
3.604 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
3.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.604 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.604 * [taylor]: Taking taylor expansion of (* b d) in d
3.604 * [taylor]: Taking taylor expansion of b in d
3.604 * [backup-simplify]: Simplify b into b
3.604 * [taylor]: Taking taylor expansion of d in d
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 1 into 1
3.604 * [backup-simplify]: Simplify (* b 0) into 0
3.605 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.605 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.605 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.605 * [taylor]: Taking taylor expansion of (* a c) in d
3.605 * [taylor]: Taking taylor expansion of a in d
3.605 * [backup-simplify]: Simplify a into a
3.605 * [taylor]: Taking taylor expansion of c in d
3.605 * [backup-simplify]: Simplify c into c
3.605 * [backup-simplify]: Simplify (* a c) into (* a c)
3.605 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.605 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.605 * [taylor]: Taking taylor expansion of (* b d) in b
3.605 * [taylor]: Taking taylor expansion of b in b
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 1 into 1
3.605 * [taylor]: Taking taylor expansion of d in b
3.605 * [backup-simplify]: Simplify d into d
3.605 * [backup-simplify]: Simplify (* 0 d) into 0
3.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.606 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.606 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.606 * [taylor]: Taking taylor expansion of (* a c) in b
3.606 * [taylor]: Taking taylor expansion of a in b
3.606 * [backup-simplify]: Simplify a into a
3.606 * [taylor]: Taking taylor expansion of c in b
3.606 * [backup-simplify]: Simplify c into c
3.606 * [backup-simplify]: Simplify (* a c) into (* a c)
3.606 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.606 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.606 * [taylor]: Taking taylor expansion of (* b d) in c
3.606 * [taylor]: Taking taylor expansion of b in c
3.606 * [backup-simplify]: Simplify b into b
3.606 * [taylor]: Taking taylor expansion of d in c
3.606 * [backup-simplify]: Simplify d into d
3.606 * [backup-simplify]: Simplify (* b d) into (* b d)
3.606 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.606 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.606 * [taylor]: Taking taylor expansion of (* a c) in c
3.606 * [taylor]: Taking taylor expansion of a in c
3.606 * [backup-simplify]: Simplify a into a
3.606 * [taylor]: Taking taylor expansion of c in c
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.606 * [backup-simplify]: Simplify (* a 0) into 0
3.606 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.606 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.606 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.606 * [taylor]: Taking taylor expansion of (* b d) in a
3.606 * [taylor]: Taking taylor expansion of b in a
3.606 * [backup-simplify]: Simplify b into b
3.606 * [taylor]: Taking taylor expansion of d in a
3.606 * [backup-simplify]: Simplify d into d
3.606 * [backup-simplify]: Simplify (* b d) into (* b d)
3.607 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.607 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.607 * [taylor]: Taking taylor expansion of (* a c) in a
3.607 * [taylor]: Taking taylor expansion of a in a
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.607 * [taylor]: Taking taylor expansion of c in a
3.607 * [backup-simplify]: Simplify c into c
3.607 * [backup-simplify]: Simplify (* 0 c) into 0
3.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.607 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.607 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.607 * [taylor]: Taking taylor expansion of (* b d) in a
3.607 * [taylor]: Taking taylor expansion of b in a
3.607 * [backup-simplify]: Simplify b into b
3.607 * [taylor]: Taking taylor expansion of d in a
3.607 * [backup-simplify]: Simplify d into d
3.607 * [backup-simplify]: Simplify (* b d) into (* b d)
3.607 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.607 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.607 * [taylor]: Taking taylor expansion of (* a c) in a
3.607 * [taylor]: Taking taylor expansion of a in a
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.607 * [taylor]: Taking taylor expansion of c in a
3.607 * [backup-simplify]: Simplify c into c
3.607 * [backup-simplify]: Simplify (* 0 c) into 0
3.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.608 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.608 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.608 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.608 * [taylor]: Taking taylor expansion of c in c
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (/ 1 1) into 1
3.608 * [taylor]: Taking taylor expansion of 1 in b
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.609 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.609 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.609 * [taylor]: Taking taylor expansion of (* b d) in c
3.609 * [taylor]: Taking taylor expansion of b in c
3.609 * [backup-simplify]: Simplify b into b
3.609 * [taylor]: Taking taylor expansion of d in c
3.609 * [backup-simplify]: Simplify d into d
3.609 * [backup-simplify]: Simplify (* b d) into (* b d)
3.609 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.609 * [taylor]: Taking taylor expansion of 0 in b
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [taylor]: Taking taylor expansion of 1 in d
3.609 * [backup-simplify]: Simplify 1 into 1
3.609 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.611 * [backup-simplify]: Simplify (+ 0 0) into 0
3.611 * [taylor]: Taking taylor expansion of 0 in c
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.611 * [taylor]: Taking taylor expansion of (* b d) in b
3.611 * [taylor]: Taking taylor expansion of b in b
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [taylor]: Taking taylor expansion of d in b
3.611 * [backup-simplify]: Simplify d into d
3.611 * [backup-simplify]: Simplify (* 0 d) into 0
3.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.611 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.611 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.611 * [taylor]: Taking taylor expansion of d in d
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [backup-simplify]: Simplify (/ 1 1) into 1
3.611 * [backup-simplify]: Simplify 1 into 1
3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.612 * [taylor]: Taking taylor expansion of 0 in b
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [taylor]: Taking taylor expansion of 0 in d
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [taylor]: Taking taylor expansion of 0 in d
3.612 * [backup-simplify]: Simplify 0 into 0
3.612 * [backup-simplify]: Simplify 1 into 1
3.612 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.614 * [backup-simplify]: Simplify (+ 0 0) into 0
3.614 * [taylor]: Taking taylor expansion of 0 in c
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [taylor]: Taking taylor expansion of 0 in b
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.614 * [taylor]: Taking taylor expansion of 0 in b
3.614 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.616 * [taylor]: Taking taylor expansion of 0 in b
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.617 * [taylor]: Taking taylor expansion of 0 in d
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [taylor]: Taking taylor expansion of 0 in d
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [taylor]: Taking taylor expansion of 0 in d
3.617 * [backup-simplify]: Simplify 0 into 0
3.617 * [taylor]: Taking taylor expansion of 0 in d
3.617 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
3.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.621 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [taylor]: Taking taylor expansion of 0 in c
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [taylor]: Taking taylor expansion of 0 in b
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [taylor]: Taking taylor expansion of 0 in b
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.622 * [taylor]: Taking taylor expansion of 0 in b
3.622 * [backup-simplify]: Simplify 0 into 0
3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.623 * [taylor]: Taking taylor expansion of 0 in b
3.623 * [backup-simplify]: Simplify 0 into 0
3.623 * [taylor]: Taking taylor expansion of 0 in d
3.623 * [backup-simplify]: Simplify 0 into 0
3.623 * [taylor]: Taking taylor expansion of 0 in d
3.623 * [backup-simplify]: Simplify 0 into 0
3.624 * [taylor]: Taking taylor expansion of 0 in d
3.624 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
3.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
3.625 * [taylor]: Taking taylor expansion of 0 in d
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [taylor]: Taking taylor expansion of 0 in d
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [taylor]: Taking taylor expansion of 0 in d
3.625 * [backup-simplify]: Simplify 0 into 0
3.625 * [taylor]: Taking taylor expansion of 0 in d
3.625 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [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))
3.627 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
3.627 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
3.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
3.627 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
3.627 * [taylor]: Taking taylor expansion of (* b d) in d
3.627 * [taylor]: Taking taylor expansion of b in d
3.627 * [backup-simplify]: Simplify b into b
3.627 * [taylor]: Taking taylor expansion of d in d
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 1 into 1
3.627 * [backup-simplify]: Simplify (* b 0) into 0
3.627 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
3.627 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
3.627 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
3.627 * [taylor]: Taking taylor expansion of (* a c) in d
3.627 * [taylor]: Taking taylor expansion of a in d
3.627 * [backup-simplify]: Simplify a into a
3.628 * [taylor]: Taking taylor expansion of c in d
3.628 * [backup-simplify]: Simplify c into c
3.628 * [backup-simplify]: Simplify (* a c) into (* a c)
3.628 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
3.628 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.628 * [taylor]: Taking taylor expansion of (* b d) in b
3.628 * [taylor]: Taking taylor expansion of b in b
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.628 * [taylor]: Taking taylor expansion of d in b
3.628 * [backup-simplify]: Simplify d into d
3.628 * [backup-simplify]: Simplify (* 0 d) into 0
3.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.628 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.628 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
3.628 * [taylor]: Taking taylor expansion of (* a c) in b
3.628 * [taylor]: Taking taylor expansion of a in b
3.628 * [backup-simplify]: Simplify a into a
3.629 * [taylor]: Taking taylor expansion of c in b
3.629 * [backup-simplify]: Simplify c into c
3.629 * [backup-simplify]: Simplify (* a c) into (* a c)
3.629 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
3.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
3.629 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.629 * [taylor]: Taking taylor expansion of (* b d) in c
3.629 * [taylor]: Taking taylor expansion of b in c
3.629 * [backup-simplify]: Simplify b into b
3.629 * [taylor]: Taking taylor expansion of d in c
3.629 * [backup-simplify]: Simplify d into d
3.629 * [backup-simplify]: Simplify (* b d) into (* b d)
3.629 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.629 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
3.629 * [taylor]: Taking taylor expansion of (* a c) in c
3.629 * [taylor]: Taking taylor expansion of a in c
3.629 * [backup-simplify]: Simplify a into a
3.629 * [taylor]: Taking taylor expansion of c in c
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 1 into 1
3.629 * [backup-simplify]: Simplify (* a 0) into 0
3.630 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
3.630 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
3.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.630 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.630 * [taylor]: Taking taylor expansion of (* b d) in a
3.630 * [taylor]: Taking taylor expansion of b in a
3.630 * [backup-simplify]: Simplify b into b
3.630 * [taylor]: Taking taylor expansion of d in a
3.630 * [backup-simplify]: Simplify d into d
3.630 * [backup-simplify]: Simplify (* b d) into (* b d)
3.630 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.630 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.630 * [taylor]: Taking taylor expansion of (* a c) in a
3.630 * [taylor]: Taking taylor expansion of a in a
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify 1 into 1
3.630 * [taylor]: Taking taylor expansion of c in a
3.630 * [backup-simplify]: Simplify c into c
3.630 * [backup-simplify]: Simplify (* 0 c) into 0
3.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.630 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
3.630 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
3.630 * [taylor]: Taking taylor expansion of (* b d) in a
3.630 * [taylor]: Taking taylor expansion of b in a
3.631 * [backup-simplify]: Simplify b into b
3.631 * [taylor]: Taking taylor expansion of d in a
3.631 * [backup-simplify]: Simplify d into d
3.631 * [backup-simplify]: Simplify (* b d) into (* b d)
3.631 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.631 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
3.631 * [taylor]: Taking taylor expansion of (* a c) in a
3.631 * [taylor]: Taking taylor expansion of a in a
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.631 * [taylor]: Taking taylor expansion of c in a
3.631 * [backup-simplify]: Simplify c into c
3.631 * [backup-simplify]: Simplify (* 0 c) into 0
3.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
3.631 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
3.631 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
3.631 * [taylor]: Taking taylor expansion of (/ 1 c) in c
3.631 * [taylor]: Taking taylor expansion of c in c
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.631 * [backup-simplify]: Simplify (/ 1 1) into 1
3.632 * [taylor]: Taking taylor expansion of 1 in b
3.632 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
3.632 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
3.632 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
3.632 * [taylor]: Taking taylor expansion of (* b d) in c
3.632 * [taylor]: Taking taylor expansion of b in c
3.632 * [backup-simplify]: Simplify b into b
3.632 * [taylor]: Taking taylor expansion of d in c
3.632 * [backup-simplify]: Simplify d into d
3.632 * [backup-simplify]: Simplify (* b d) into (* b d)
3.632 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.633 * [taylor]: Taking taylor expansion of 0 in b
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [taylor]: Taking taylor expansion of 1 in d
3.633 * [backup-simplify]: Simplify 1 into 1
3.633 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
3.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.634 * [backup-simplify]: Simplify (+ 0 0) into 0
3.634 * [taylor]: Taking taylor expansion of 0 in c
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
3.634 * [taylor]: Taking taylor expansion of (* b d) in b
3.634 * [taylor]: Taking taylor expansion of b in b
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 1 into 1
3.634 * [taylor]: Taking taylor expansion of d in b
3.634 * [backup-simplify]: Simplify d into d
3.634 * [backup-simplify]: Simplify (* 0 d) into 0
3.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
3.635 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
3.635 * [taylor]: Taking taylor expansion of (/ 1 d) in d
3.635 * [taylor]: Taking taylor expansion of d in d
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [backup-simplify]: Simplify (/ 1 1) into 1
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.636 * [taylor]: Taking taylor expansion of 0 in b
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [taylor]: Taking taylor expansion of 0 in d
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [taylor]: Taking taylor expansion of 0 in d
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [backup-simplify]: Simplify 1 into 1
3.636 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.637 * [taylor]: Taking taylor expansion of 0 in c
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [taylor]: Taking taylor expansion of 0 in b
3.637 * [backup-simplify]: Simplify 0 into 0
3.637 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
3.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
3.638 * [taylor]: Taking taylor expansion of 0 in b
3.638 * [backup-simplify]: Simplify 0 into 0
3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.638 * [taylor]: Taking taylor expansion of 0 in b
3.638 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
3.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
3.639 * [taylor]: Taking taylor expansion of 0 in d
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [taylor]: Taking taylor expansion of 0 in d
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [taylor]: Taking taylor expansion of 0 in d
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [taylor]: Taking taylor expansion of 0 in d
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
3.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
3.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.642 * [backup-simplify]: Simplify (+ 0 0) into 0
3.642 * [taylor]: Taking taylor expansion of 0 in c
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [taylor]: Taking taylor expansion of 0 in b
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [taylor]: Taking taylor expansion of 0 in b
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.642 * [taylor]: Taking taylor expansion of 0 in b
3.642 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.643 * [taylor]: Taking taylor expansion of 0 in b
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [taylor]: Taking taylor expansion of 0 in d
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [taylor]: Taking taylor expansion of 0 in d
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [taylor]: Taking taylor expansion of 0 in d
3.643 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
3.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
3.644 * [taylor]: Taking taylor expansion of 0 in d
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in d
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in d
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in d
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.645 * [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))
3.645 * * * [progress]: simplifying candidates
3.645 * * * * [progress]: [ 1 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (pow (+ (* c c) (* d d)) 1/2)))>
3.645 * * * * [progress]: [ 2 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
3.645 * * * * [progress]: [ 3 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
3.645 * * * * [progress]: [ 4 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
3.645 * * * * [progress]: [ 5 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
3.645 * * * * [progress]: [ 6 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
3.645 * * * * [progress]: [ 7 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
3.645 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
3.645 * * [simplify]: iters left: 6 (8 enodes)
3.647 * * [simplify]: iters left: 5 (26 enodes)
3.650 * * [simplify]: Extracting #0: cost 1 inf + 0
3.651 * * [simplify]: Extracting #1: cost 4 inf + 0
3.651 * * [simplify]: Extracting #2: cost 7 inf + 0
3.651 * * [simplify]: Extracting #3: cost 10 inf + 0
3.651 * * [simplify]: Extracting #4: cost 14 inf + 0
3.651 * * [simplify]: Extracting #5: cost 10 inf + 84
3.651 * * [simplify]: Extracting #6: cost 8 inf + 166
3.651 * * [simplify]: Extracting #7: cost 4 inf + 854
3.651 * * [simplify]: Extracting #8: cost 1 inf + 1540
3.651 * * [simplify]: Extracting #9: cost 0 inf + 1782
3.652 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
3.652 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
3.652 * * * * [progress]: [ 8 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
3.652 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
3.652 * * [simplify]: iters left: 6 (7 enodes)
3.654 * * [simplify]: iters left: 5 (22 enodes)
3.657 * * [simplify]: Extracting #0: cost 1 inf + 0
3.657 * * [simplify]: Extracting #1: cost 3 inf + 0
3.657 * * [simplify]: Extracting #2: cost 5 inf + 0
3.657 * * [simplify]: Extracting #3: cost 8 inf + 0
3.657 * * [simplify]: Extracting #4: cost 12 inf + 0
3.657 * * [simplify]: Extracting #5: cost 10 inf + 2
3.657 * * [simplify]: Extracting #6: cost 1 inf + 936
3.657 * * [simplify]: Extracting #7: cost 0 inf + 1138
3.657 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
3.657 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
3.657 * * * * [progress]: [ 9 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
3.658 * [simplify]: Simplifying (sqrt 1)
3.658 * * [simplify]: iters left: 1 (2 enodes)
3.661 * * [simplify]: Extracting #0: cost 1 inf + 0
3.661 * * [simplify]: Extracting #1: cost 0 inf + 1
3.661 * [simplify]: Simplified to 1
3.661 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d))))))
3.661 * * * * [progress]: [ 10 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (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))))))))>
3.661 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
3.661 * * [simplify]: iters left: 6 (9 enodes)
3.667 * * [simplify]: iters left: 5 (45 enodes)
3.691 * * [simplify]: iters left: 4 (100 enodes)
3.718 * * [simplify]: iters left: 3 (201 enodes)
3.769 * * [simplify]: iters left: 2 (406 enodes)
3.888 * * [simplify]: Extracting #0: cost 1 inf + 0
3.889 * * [simplify]: Extracting #1: cost 3 inf + 0
3.889 * * [simplify]: Extracting #2: cost 6 inf + 0
3.889 * * [simplify]: Extracting #3: cost 62 inf + 0
3.889 * * [simplify]: Extracting #4: cost 166 inf + 460
3.891 * * [simplify]: Extracting #5: cost 131 inf + 12951
3.895 * * [simplify]: Extracting #6: cost 49 inf + 45746
3.905 * * [simplify]: Extracting #7: cost 1 inf + 66256
3.915 * * [simplify]: Extracting #8: cost 0 inf + 65919
3.926 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
3.926 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
3.926 * * * * [progress]: [ 11 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
3.926 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
3.927 * * [simplify]: iters left: 6 (8 enodes)
3.931 * * [simplify]: iters left: 5 (37 enodes)
3.944 * * [simplify]: iters left: 4 (67 enodes)
3.971 * * [simplify]: iters left: 3 (123 enodes)
4.011 * * [simplify]: iters left: 2 (278 enodes)
4.116 * * [simplify]: Extracting #0: cost 1 inf + 0
4.116 * * [simplify]: Extracting #1: cost 3 inf + 0
4.116 * * [simplify]: Extracting #2: cost 50 inf + 0
4.117 * * [simplify]: Extracting #3: cost 150 inf + 0
4.121 * * [simplify]: Extracting #4: cost 194 inf + 1180
4.124 * * [simplify]: Extracting #5: cost 123 inf + 12421
4.134 * * [simplify]: Extracting #6: cost 12 inf + 33804
4.149 * * [simplify]: Extracting #7: cost 0 inf + 36129
4.159 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
4.159 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))
4.159 * * * * [progress]: [ 12 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (pow (+ (* c c) (* d d)) (/ 1 2))))>
4.160 * [simplify]: Simplifying (+ (* c c) (* d d))
4.160 * * [simplify]: iters left: 4 (5 enodes)
4.161 * * [simplify]: iters left: 3 (16 enodes)
4.163 * * [simplify]: Extracting #0: cost 1 inf + 0
4.163 * * [simplify]: Extracting #1: cost 4 inf + 0
4.163 * * [simplify]: Extracting #2: cost 8 inf + 0
4.163 * * [simplify]: Extracting #3: cost 4 inf + 84
4.164 * * [simplify]: Extracting #4: cost 0 inf + 410
4.164 * [simplify]: Simplified to (+ (* c c) (* d d))
4.164 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (pow (+ (* c c) (* d d)) (/ 1 2))))
4.164 * * * * [progress]: [ 13 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
4.164 * * * * [progress]: [ 14 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d))))))>
4.164 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
4.164 * * [simplify]: iters left: 5 (6 enodes)
4.165 * * [simplify]: iters left: 4 (19 enodes)
4.168 * * [simplify]: Extracting #0: cost 1 inf + 0
4.168 * * [simplify]: Extracting #1: cost 3 inf + 0
4.168 * * [simplify]: Extracting #2: cost 6 inf + 0
4.168 * * [simplify]: Extracting #3: cost 10 inf + 0
4.168 * * [simplify]: Extracting #4: cost 6 inf + 84
4.169 * * [simplify]: Extracting #5: cost 0 inf + 734
4.169 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
4.169 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d))))))
4.169 * * * * [progress]: [ 15 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d))))))>
4.169 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))))>
4.169 * * * * [progress]: [ 17 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) 1/2)) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 18 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (pow (sqrt (+ (* c c) (* d d))) 1)) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 19 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 20 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (log (exp (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 21 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 22 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.169 * * * * [progress]: [ 23 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.169 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
4.169 * * [simplify]: iters left: 6 (8 enodes)
4.171 * * [simplify]: iters left: 5 (26 enodes)
4.175 * * [simplify]: Extracting #0: cost 1 inf + 0
4.175 * * [simplify]: Extracting #1: cost 4 inf + 0
4.175 * * [simplify]: Extracting #2: cost 7 inf + 0
4.175 * * [simplify]: Extracting #3: cost 10 inf + 0
4.175 * * [simplify]: Extracting #4: cost 14 inf + 0
4.175 * * [simplify]: Extracting #5: cost 10 inf + 84
4.175 * * [simplify]: Extracting #6: cost 8 inf + 166
4.175 * * [simplify]: Extracting #7: cost 4 inf + 854
4.175 * * [simplify]: Extracting #8: cost 1 inf + 1540
4.176 * * [simplify]: Extracting #9: cost 0 inf + 1782
4.176 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
4.176 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
4.176 * * * * [progress]: [ 24 / 100 ] simplifiying candidate #<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)))))>
4.176 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
4.176 * * [simplify]: iters left: 6 (7 enodes)
4.178 * * [simplify]: iters left: 5 (22 enodes)
4.181 * * [simplify]: Extracting #0: cost 1 inf + 0
4.181 * * [simplify]: Extracting #1: cost 3 inf + 0
4.181 * * [simplify]: Extracting #2: cost 5 inf + 0
4.181 * * [simplify]: Extracting #3: cost 8 inf + 0
4.181 * * [simplify]: Extracting #4: cost 12 inf + 0
4.181 * * [simplify]: Extracting #5: cost 10 inf + 2
4.181 * * [simplify]: Extracting #6: cost 1 inf + 936
4.181 * * [simplify]: Extracting #7: cost 0 inf + 1138
4.182 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
4.182 * [simplify]: Simplified (2 1 2 1) to (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)))))
4.182 * * * * [progress]: [ 25 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
4.182 * [simplify]: Simplifying (sqrt 1)
4.182 * * [simplify]: iters left: 1 (2 enodes)
4.184 * * [simplify]: Extracting #0: cost 1 inf + 0
4.184 * * [simplify]: Extracting #1: cost 0 inf + 1
4.184 * [simplify]: Simplified to 1
4.184 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
4.184 * * * * [progress]: [ 26 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b 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) (* d d)))))>
4.185 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
4.185 * * [simplify]: iters left: 6 (9 enodes)
4.188 * * [simplify]: iters left: 5 (45 enodes)
4.199 * * [simplify]: iters left: 4 (100 enodes)
4.236 * * [simplify]: iters left: 3 (201 enodes)
4.298 * * [simplify]: iters left: 2 (406 enodes)
4.478 * * [simplify]: Extracting #0: cost 1 inf + 0
4.479 * * [simplify]: Extracting #1: cost 3 inf + 0
4.479 * * [simplify]: Extracting #2: cost 6 inf + 0
4.479 * * [simplify]: Extracting #3: cost 62 inf + 0
4.479 * * [simplify]: Extracting #4: cost 166 inf + 460
4.481 * * [simplify]: Extracting #5: cost 131 inf + 12951
4.484 * * [simplify]: Extracting #6: cost 49 inf + 45746
4.489 * * [simplify]: Extracting #7: cost 1 inf + 66256
4.495 * * [simplify]: Extracting #8: cost 0 inf + 65919
4.506 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
4.506 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
4.506 * * * * [progress]: [ 27 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
4.507 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
4.507 * * [simplify]: iters left: 6 (8 enodes)
4.511 * * [simplify]: iters left: 5 (37 enodes)
4.523 * * [simplify]: iters left: 4 (67 enodes)
4.535 * * [simplify]: iters left: 3 (123 enodes)
4.573 * * [simplify]: iters left: 2 (278 enodes)
4.723 * * [simplify]: Extracting #0: cost 1 inf + 0
4.723 * * [simplify]: Extracting #1: cost 3 inf + 0
4.724 * * [simplify]: Extracting #2: cost 50 inf + 0
4.724 * * [simplify]: Extracting #3: cost 150 inf + 0
4.726 * * [simplify]: Extracting #4: cost 194 inf + 1180
4.731 * * [simplify]: Extracting #5: cost 123 inf + 12421
4.744 * * [simplify]: Extracting #6: cost 12 inf + 33804
4.764 * * [simplify]: Extracting #7: cost 0 inf + 36129
4.778 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
4.779 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
4.779 * * * * [progress]: [ 28 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) (/ 1 2))) (sqrt (+ (* c c) (* d d)))))>
4.779 * [simplify]: Simplifying (+ (* c c) (* d d))
4.779 * * [simplify]: iters left: 4 (5 enodes)
4.781 * * [simplify]: iters left: 3 (16 enodes)
4.786 * * [simplify]: Extracting #0: cost 1 inf + 0
4.786 * * [simplify]: Extracting #1: cost 4 inf + 0
4.786 * * [simplify]: Extracting #2: cost 8 inf + 0
4.786 * * [simplify]: Extracting #3: cost 4 inf + 84
4.786 * * [simplify]: Extracting #4: cost 0 inf + 410
4.786 * [simplify]: Simplified to (+ (* c c) (* d d))
4.786 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) (/ 1 2))) (sqrt (+ (* c c) (* d d)))))
4.786 * * * * [progress]: [ 29 / 100 ] simplifiying candidate #<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)))))>
4.787 * * * * [progress]: [ 30 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
4.787 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
4.787 * * [simplify]: iters left: 5 (6 enodes)
4.789 * * [simplify]: iters left: 4 (19 enodes)
4.794 * * [simplify]: Extracting #0: cost 1 inf + 0
4.795 * * [simplify]: Extracting #1: cost 3 inf + 0
4.795 * * [simplify]: Extracting #2: cost 6 inf + 0
4.795 * * [simplify]: Extracting #3: cost 10 inf + 0
4.795 * * [simplify]: Extracting #4: cost 6 inf + 84
4.795 * * [simplify]: Extracting #5: cost 0 inf + 734
4.795 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
4.795 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
4.796 * * * * [progress]: [ 31 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
4.796 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.796 * * * * [progress]: [ 33 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))>
4.796 * * * * [progress]: [ 34 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.796 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
4.796 * * [simplify]: iters left: 6 (14 enodes)
4.803 * * [simplify]: iters left: 5 (48 enodes)
4.815 * * [simplify]: iters left: 4 (51 enodes)
4.829 * * [simplify]: Extracting #0: cost 1 inf + 0
4.829 * * [simplify]: Extracting #1: cost 5 inf + 0
4.829 * * [simplify]: Extracting #2: cost 10 inf + 0
4.829 * * [simplify]: Extracting #3: cost 15 inf + 0
4.829 * * [simplify]: Extracting #4: cost 24 inf + 0
4.829 * * [simplify]: Extracting #5: cost 19 inf + 129
4.830 * * [simplify]: Extracting #6: cost 11 inf + 931
4.830 * * [simplify]: Extracting #7: cost 4 inf + 2236
4.831 * * [simplify]: Extracting #8: cost 0 inf + 3476
4.833 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))
4.833 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
4.833 * * * * [progress]: [ 35 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.833 * * * * [progress]: [ 36 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
4.833 * * * * [progress]: [ 37 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (/ (* (* (+ (* 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)))))>
4.833 * [simplify]: Simplifying (/ (* (* (+ (* 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)))))
4.833 * * [simplify]: iters left: 6 (16 enodes)
4.841 * * [simplify]: iters left: 5 (71 enodes)
4.871 * * [simplify]: iters left: 4 (220 enodes)
4.992 * * [simplify]: Extracting #0: cost 1 inf + 0
4.993 * * [simplify]: Extracting #1: cost 30 inf + 0
4.993 * * [simplify]: Extracting #2: cost 82 inf + 1
4.994 * * [simplify]: Extracting #3: cost 194 inf + 1
4.997 * * [simplify]: Extracting #4: cost 161 inf + 5363
5.010 * * [simplify]: Extracting #5: cost 29 inf + 35105
5.034 * * [simplify]: Extracting #6: cost 1 inf + 43538
5.054 * * [simplify]: Extracting #7: cost 0 inf + 43740
5.075 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))
5.075 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
5.075 * * * * [progress]: [ 38 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))>
5.075 * * * * [progress]: [ 39 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))) (sqrt (+ (* c c) (* d d)))))>
5.075 * * * * [progress]: [ 40 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))>
5.075 * * * * [progress]: [ 41 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (+ (* a c) (* b d))) (- (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.075 * * * * [progress]: [ 42 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))) (sqrt (+ (* c c) (* d d)))))>
5.076 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
5.076 * * [simplify]: iters left: 6 (16 enodes)
5.083 * * [simplify]: iters left: 5 (58 enodes)
5.099 * * [simplify]: iters left: 4 (73 enodes)
5.109 * * [simplify]: iters left: 3 (80 enodes)
5.120 * * [simplify]: iters left: 2 (83 enodes)
5.136 * * [simplify]: Extracting #0: cost 1 inf + 0
5.136 * * [simplify]: Extracting #1: cost 11 inf + 0
5.136 * * [simplify]: Extracting #2: cost 22 inf + 0
5.136 * * [simplify]: Extracting #3: cost 27 inf + 0
5.136 * * [simplify]: Extracting #4: cost 36 inf + 0
5.137 * * [simplify]: Extracting #5: cost 33 inf + 46
5.137 * * [simplify]: Extracting #6: cost 14 inf + 2774
5.140 * * [simplify]: Extracting #7: cost 2 inf + 8296
5.142 * * [simplify]: Extracting #8: cost 0 inf + 9224
5.144 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))))
5.144 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.144 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
5.144 * * [simplify]: iters left: 6 (14 enodes)
5.147 * * [simplify]: iters left: 5 (46 enodes)
5.155 * * [simplify]: Extracting #0: cost 1 inf + 0
5.155 * * [simplify]: Extracting #1: cost 4 inf + 0
5.155 * * [simplify]: Extracting #2: cost 8 inf + 0
5.155 * * [simplify]: Extracting #3: cost 13 inf + 0
5.155 * * [simplify]: Extracting #4: cost 22 inf + 0
5.155 * * [simplify]: Extracting #5: cost 17 inf + 129
5.155 * * [simplify]: Extracting #6: cost 8 inf + 992
5.155 * * [simplify]: Extracting #7: cost 2 inf + 2366
5.156 * * [simplify]: Extracting #8: cost 0 inf + 3012
5.156 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
5.156 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.156 * * * * [progress]: [ 43 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))) (sqrt (+ (* c c) (* d d)))))>
5.157 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
5.157 * * [simplify]: iters left: 6 (16 enodes)
5.160 * * [simplify]: iters left: 5 (55 enodes)
5.168 * * [simplify]: iters left: 4 (59 enodes)
5.176 * * [simplify]: iters left: 3 (62 enodes)
5.190 * * [simplify]: Extracting #0: cost 1 inf + 0
5.190 * * [simplify]: Extracting #1: cost 7 inf + 0
5.191 * * [simplify]: Extracting #2: cost 15 inf + 0
5.191 * * [simplify]: Extracting #3: cost 21 inf + 0
5.191 * * [simplify]: Extracting #4: cost 30 inf + 0
5.191 * * [simplify]: Extracting #5: cost 26 inf + 87
5.192 * * [simplify]: Extracting #6: cost 9 inf + 2370
5.193 * * [simplify]: Extracting #7: cost 1 inf + 5596
5.195 * * [simplify]: Extracting #8: cost 0 inf + 6080
5.197 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c)))))
5.197 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.198 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
5.198 * * [simplify]: iters left: 6 (14 enodes)
5.204 * * [simplify]: iters left: 5 (46 enodes)
5.211 * * [simplify]: Extracting #0: cost 1 inf + 0
5.211 * * [simplify]: Extracting #1: cost 4 inf + 0
5.211 * * [simplify]: Extracting #2: cost 8 inf + 0
5.211 * * [simplify]: Extracting #3: cost 13 inf + 0
5.211 * * [simplify]: Extracting #4: cost 22 inf + 0
5.211 * * [simplify]: Extracting #5: cost 17 inf + 129
5.212 * * [simplify]: Extracting #6: cost 8 inf + 992
5.212 * * [simplify]: Extracting #7: cost 2 inf + 2406
5.213 * * [simplify]: Extracting #8: cost 0 inf + 3092
5.213 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
5.213 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.213 * * * * [progress]: [ 44 / 100 ] simplifiying candidate #<alt (λ (a b c 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 (+ (* c c) (* d d)))))>
5.214 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.214 * * [simplify]: iters left: 6 (15 enodes)
5.217 * * [simplify]: iters left: 5 (51 enodes)
5.224 * * [simplify]: iters left: 4 (55 enodes)
5.232 * * [simplify]: iters left: 3 (58 enodes)
5.246 * * [simplify]: Extracting #0: cost 1 inf + 0
5.246 * * [simplify]: Extracting #1: cost 7 inf + 0
5.246 * * [simplify]: Extracting #2: cost 14 inf + 0
5.246 * * [simplify]: Extracting #3: cost 19 inf + 0
5.246 * * [simplify]: Extracting #4: cost 28 inf + 0
5.247 * * [simplify]: Extracting #5: cost 24 inf + 87
5.248 * * [simplify]: Extracting #6: cost 11 inf + 1518
5.249 * * [simplify]: Extracting #7: cost 1 inf + 4752
5.250 * * [simplify]: Extracting #8: cost 0 inf + 5196
5.252 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
5.252 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.253 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.253 * * [simplify]: iters left: 6 (14 enodes)
5.259 * * [simplify]: iters left: 5 (46 enodes)
5.271 * * [simplify]: Extracting #0: cost 1 inf + 0
5.271 * * [simplify]: Extracting #1: cost 4 inf + 0
5.271 * * [simplify]: Extracting #2: cost 8 inf + 0
5.271 * * [simplify]: Extracting #3: cost 13 inf + 0
5.271 * * [simplify]: Extracting #4: cost 22 inf + 0
5.271 * * [simplify]: Extracting #5: cost 17 inf + 129
5.271 * * [simplify]: Extracting #6: cost 8 inf + 992
5.272 * * [simplify]: Extracting #7: cost 2 inf + 2246
5.273 * * [simplify]: Extracting #8: cost 0 inf + 2852
5.274 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.274 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.274 * * * * [progress]: [ 45 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.275 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
5.275 * * [simplify]: iters left: 6 (12 enodes)
5.282 * * [simplify]: iters left: 5 (43 enodes)
5.294 * * [simplify]: iters left: 4 (49 enodes)
5.303 * * [simplify]: iters left: 3 (53 enodes)
5.310 * * [simplify]: iters left: 2 (54 enodes)
5.316 * * [simplify]: Extracting #0: cost 1 inf + 0
5.316 * * [simplify]: Extracting #1: cost 5 inf + 0
5.316 * * [simplify]: Extracting #2: cost 7 inf + 1
5.316 * * [simplify]: Extracting #3: cost 10 inf + 1
5.317 * * [simplify]: Extracting #4: cost 16 inf + 1
5.317 * * [simplify]: Extracting #5: cost 10 inf + 89
5.317 * * [simplify]: Extracting #6: cost 3 inf + 1073
5.317 * * [simplify]: Extracting #7: cost 0 inf + 1807
5.317 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
5.317 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.318 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
5.318 * * [simplify]: iters left: 6 (13 enodes)
5.320 * * [simplify]: iters left: 5 (43 enodes)
5.326 * * [simplify]: Extracting #0: cost 1 inf + 0
5.326 * * [simplify]: Extracting #1: cost 4 inf + 0
5.326 * * [simplify]: Extracting #2: cost 8 inf + 0
5.326 * * [simplify]: Extracting #3: cost 14 inf + 0
5.327 * * [simplify]: Extracting #4: cost 22 inf + 0
5.327 * * [simplify]: Extracting #5: cost 17 inf + 45
5.327 * * [simplify]: Extracting #6: cost 10 inf + 537
5.327 * * [simplify]: Extracting #7: cost 4 inf + 1232
5.328 * * [simplify]: Extracting #8: cost 1 inf + 1964
5.329 * * [simplify]: Extracting #9: cost 0 inf + 2368
5.330 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
5.330 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.330 * * * * [progress]: [ 46 / 100 ] simplifiying candidate #<alt (λ (a b c 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 (+ (* c c) (* d d)))))>
5.330 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.330 * * [simplify]: iters left: 6 (15 enodes)
5.337 * * [simplify]: iters left: 5 (51 enodes)
5.351 * * [simplify]: iters left: 4 (55 enodes)
5.366 * * [simplify]: iters left: 3 (58 enodes)
5.384 * * [simplify]: Extracting #0: cost 1 inf + 0
5.384 * * [simplify]: Extracting #1: cost 7 inf + 0
5.385 * * [simplify]: Extracting #2: cost 14 inf + 0
5.385 * * [simplify]: Extracting #3: cost 19 inf + 0
5.385 * * [simplify]: Extracting #4: cost 28 inf + 0
5.385 * * [simplify]: Extracting #5: cost 24 inf + 87
5.385 * * [simplify]: Extracting #6: cost 11 inf + 1518
5.387 * * [simplify]: Extracting #7: cost 1 inf + 4752
5.388 * * [simplify]: Extracting #8: cost 0 inf + 5196
5.390 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
5.390 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.390 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.391 * * [simplify]: iters left: 6 (14 enodes)
5.396 * * [simplify]: iters left: 5 (46 enodes)
5.409 * * [simplify]: Extracting #0: cost 1 inf + 0
5.409 * * [simplify]: Extracting #1: cost 4 inf + 0
5.409 * * [simplify]: Extracting #2: cost 8 inf + 0
5.409 * * [simplify]: Extracting #3: cost 13 inf + 0
5.409 * * [simplify]: Extracting #4: cost 22 inf + 0
5.410 * * [simplify]: Extracting #5: cost 17 inf + 129
5.410 * * [simplify]: Extracting #6: cost 8 inf + 992
5.411 * * [simplify]: Extracting #7: cost 2 inf + 2246
5.412 * * [simplify]: Extracting #8: cost 0 inf + 2852
5.412 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.413 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.413 * * * * [progress]: [ 47 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.413 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
5.413 * * [simplify]: iters left: 6 (11 enodes)
5.419 * * [simplify]: iters left: 5 (38 enodes)
5.430 * * [simplify]: iters left: 4 (48 enodes)
5.442 * * [simplify]: iters left: 3 (49 enodes)
5.454 * * [simplify]: Extracting #0: cost 1 inf + 0
5.455 * * [simplify]: Extracting #1: cost 5 inf + 0
5.455 * * [simplify]: Extracting #2: cost 7 inf + 1
5.455 * * [simplify]: Extracting #3: cost 10 inf + 1
5.455 * * [simplify]: Extracting #4: cost 16 inf + 1
5.455 * * [simplify]: Extracting #5: cost 11 inf + 47
5.455 * * [simplify]: Extracting #6: cost 5 inf + 828
5.456 * * [simplify]: Extracting #7: cost 0 inf + 1807
5.456 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
5.457 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.457 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
5.457 * * [simplify]: iters left: 6 (13 enodes)
5.463 * * [simplify]: iters left: 5 (43 enodes)
5.475 * * [simplify]: Extracting #0: cost 1 inf + 0
5.475 * * [simplify]: Extracting #1: cost 4 inf + 0
5.475 * * [simplify]: Extracting #2: cost 8 inf + 0
5.475 * * [simplify]: Extracting #3: cost 14 inf + 0
5.475 * * [simplify]: Extracting #4: cost 22 inf + 0
5.475 * * [simplify]: Extracting #5: cost 17 inf + 45
5.476 * * [simplify]: Extracting #6: cost 10 inf + 537
5.476 * * [simplify]: Extracting #7: cost 4 inf + 1232
5.477 * * [simplify]: Extracting #8: cost 1 inf + 1964
5.478 * * [simplify]: Extracting #9: cost 0 inf + 2368
5.478 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
5.478 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.479 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #<alt (λ (a b c 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 (+ (* c c) (* d d)))))>
5.479 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
5.479 * * [simplify]: iters left: 6 (15 enodes)
5.485 * * [simplify]: iters left: 5 (51 enodes)
5.499 * * [simplify]: iters left: 4 (53 enodes)
5.513 * * [simplify]: Extracting #0: cost 1 inf + 0
5.513 * * [simplify]: Extracting #1: cost 6 inf + 0
5.513 * * [simplify]: Extracting #2: cost 12 inf + 0
5.513 * * [simplify]: Extracting #3: cost 17 inf + 0
5.513 * * [simplify]: Extracting #4: cost 26 inf + 0
5.513 * * [simplify]: Extracting #5: cost 22 inf + 87
5.514 * * [simplify]: Extracting #6: cost 14 inf + 707
5.514 * * [simplify]: Extracting #7: cost 7 inf + 1842
5.516 * * [simplify]: Extracting #8: cost 0 inf + 4384
5.517 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
5.517 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.518 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
5.518 * * [simplify]: iters left: 6 (14 enodes)
5.525 * * [simplify]: iters left: 5 (46 enodes)
5.538 * * [simplify]: Extracting #0: cost 1 inf + 0
5.538 * * [simplify]: Extracting #1: cost 4 inf + 0
5.538 * * [simplify]: Extracting #2: cost 8 inf + 0
5.538 * * [simplify]: Extracting #3: cost 13 inf + 0
5.538 * * [simplify]: Extracting #4: cost 22 inf + 0
5.538 * * [simplify]: Extracting #5: cost 17 inf + 129
5.538 * * [simplify]: Extracting #6: cost 8 inf + 912
5.539 * * [simplify]: Extracting #7: cost 2 inf + 2246
5.540 * * [simplify]: Extracting #8: cost 0 inf + 2852
5.541 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
5.541 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.541 * * * * [progress]: [ 49 / 100 ] simplifiying candidate #<alt (λ (a b c 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 (+ (* c c) (* d d)))))>
5.541 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
5.542 * * [simplify]: iters left: 6 (15 enodes)
5.547 * * [simplify]: iters left: 5 (50 enodes)
5.554 * * [simplify]: Extracting #0: cost 1 inf + 0
5.554 * * [simplify]: Extracting #1: cost 4 inf + 0
5.554 * * [simplify]: Extracting #2: cost 9 inf + 0
5.554 * * [simplify]: Extracting #3: cost 15 inf + 0
5.554 * * [simplify]: Extracting #4: cost 24 inf + 0
5.554 * * [simplify]: Extracting #5: cost 20 inf + 87
5.554 * * [simplify]: Extracting #6: cost 12 inf + 707
5.555 * * [simplify]: Extracting #7: cost 5 inf + 1842
5.555 * * [simplify]: Extracting #8: cost 0 inf + 3416
5.556 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d)))))
5.556 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.556 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
5.556 * * [simplify]: iters left: 6 (14 enodes)
5.559 * * [simplify]: iters left: 5 (46 enodes)
5.565 * * [simplify]: Extracting #0: cost 1 inf + 0
5.565 * * [simplify]: Extracting #1: cost 4 inf + 0
5.565 * * [simplify]: Extracting #2: cost 8 inf + 0
5.565 * * [simplify]: Extracting #3: cost 13 inf + 0
5.565 * * [simplify]: Extracting #4: cost 22 inf + 0
5.565 * * [simplify]: Extracting #5: cost 17 inf + 129
5.565 * * [simplify]: Extracting #6: cost 8 inf + 912
5.566 * * [simplify]: Extracting #7: cost 2 inf + 2286
5.566 * * [simplify]: Extracting #8: cost 0 inf + 2932
5.567 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
5.567 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.567 * * * * [progress]: [ 50 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
5.567 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.567 * * [simplify]: iters left: 6 (14 enodes)
5.570 * * [simplify]: iters left: 5 (46 enodes)
5.576 * * [simplify]: Extracting #0: cost 1 inf + 0
5.576 * * [simplify]: Extracting #1: cost 4 inf + 0
5.576 * * [simplify]: Extracting #2: cost 8 inf + 0
5.576 * * [simplify]: Extracting #3: cost 13 inf + 0
5.576 * * [simplify]: Extracting #4: cost 22 inf + 0
5.577 * * [simplify]: Extracting #5: cost 17 inf + 129
5.577 * * [simplify]: Extracting #6: cost 8 inf + 912
5.577 * * [simplify]: Extracting #7: cost 2 inf + 2126
5.577 * * [simplify]: Extracting #8: cost 0 inf + 2692
5.578 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.578 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.578 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.578 * * [simplify]: iters left: 6 (14 enodes)
5.581 * * [simplify]: iters left: 5 (46 enodes)
5.587 * * [simplify]: Extracting #0: cost 1 inf + 0
5.587 * * [simplify]: Extracting #1: cost 4 inf + 0
5.587 * * [simplify]: Extracting #2: cost 8 inf + 0
5.588 * * [simplify]: Extracting #3: cost 13 inf + 0
5.588 * * [simplify]: Extracting #4: cost 22 inf + 0
5.588 * * [simplify]: Extracting #5: cost 17 inf + 129
5.588 * * [simplify]: Extracting #6: cost 8 inf + 912
5.588 * * [simplify]: Extracting #7: cost 2 inf + 2126
5.589 * * [simplify]: Extracting #8: cost 0 inf + 2692
5.589 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.589 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.589 * * * * [progress]: [ 51 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.589 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
5.590 * * [simplify]: iters left: 6 (11 enodes)
5.593 * * [simplify]: iters left: 5 (38 enodes)
5.599 * * [simplify]: iters left: 4 (40 enodes)
5.605 * * [simplify]: iters left: 3 (42 enodes)
5.610 * * [simplify]: Extracting #0: cost 1 inf + 0
5.610 * * [simplify]: Extracting #1: cost 4 inf + 0
5.610 * * [simplify]: Extracting #2: cost 6 inf + 1
5.610 * * [simplify]: Extracting #3: cost 12 inf + 1
5.610 * * [simplify]: Extracting #4: cost 7 inf + 47
5.611 * * [simplify]: Extracting #5: cost 0 inf + 749
5.612 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
5.612 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.612 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
5.613 * * [simplify]: iters left: 6 (13 enodes)
5.615 * * [simplify]: iters left: 5 (43 enodes)
5.621 * * [simplify]: Extracting #0: cost 1 inf + 0
5.621 * * [simplify]: Extracting #1: cost 4 inf + 0
5.621 * * [simplify]: Extracting #2: cost 8 inf + 0
5.621 * * [simplify]: Extracting #3: cost 14 inf + 0
5.621 * * [simplify]: Extracting #4: cost 22 inf + 0
5.621 * * [simplify]: Extracting #5: cost 17 inf + 45
5.621 * * [simplify]: Extracting #6: cost 10 inf + 537
5.622 * * [simplify]: Extracting #7: cost 4 inf + 1192
5.622 * * [simplify]: Extracting #8: cost 1 inf + 1844
5.622 * * [simplify]: Extracting #9: cost 0 inf + 2208
5.623 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
5.623 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.623 * * * * [progress]: [ 52 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
5.623 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.623 * * [simplify]: iters left: 6 (14 enodes)
5.626 * * [simplify]: iters left: 5 (46 enodes)
5.632 * * [simplify]: Extracting #0: cost 1 inf + 0
5.633 * * [simplify]: Extracting #1: cost 4 inf + 0
5.633 * * [simplify]: Extracting #2: cost 8 inf + 0
5.633 * * [simplify]: Extracting #3: cost 13 inf + 0
5.633 * * [simplify]: Extracting #4: cost 22 inf + 0
5.633 * * [simplify]: Extracting #5: cost 17 inf + 129
5.633 * * [simplify]: Extracting #6: cost 8 inf + 912
5.633 * * [simplify]: Extracting #7: cost 2 inf + 2126
5.634 * * [simplify]: Extracting #8: cost 0 inf + 2692
5.634 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.634 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.635 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.635 * * [simplify]: iters left: 6 (14 enodes)
5.641 * * [simplify]: iters left: 5 (46 enodes)
5.653 * * [simplify]: Extracting #0: cost 1 inf + 0
5.653 * * [simplify]: Extracting #1: cost 4 inf + 0
5.653 * * [simplify]: Extracting #2: cost 8 inf + 0
5.653 * * [simplify]: Extracting #3: cost 13 inf + 0
5.653 * * [simplify]: Extracting #4: cost 22 inf + 0
5.653 * * [simplify]: Extracting #5: cost 17 inf + 129
5.653 * * [simplify]: Extracting #6: cost 8 inf + 912
5.654 * * [simplify]: Extracting #7: cost 2 inf + 2126
5.655 * * [simplify]: Extracting #8: cost 0 inf + 2692
5.656 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
5.656 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.656 * * * * [progress]: [ 53 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.656 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1)
5.656 * * [simplify]: iters left: 6 (10 enodes)
5.661 * * [simplify]: iters left: 5 (33 enodes)
5.671 * * [simplify]: iters left: 4 (35 enodes)
5.680 * * [simplify]: Extracting #0: cost 1 inf + 0
5.681 * * [simplify]: Extracting #1: cost 4 inf + 0
5.681 * * [simplify]: Extracting #2: cost 6 inf + 1
5.681 * * [simplify]: Extracting #3: cost 12 inf + 1
5.681 * * [simplify]: Extracting #4: cost 7 inf + 47
5.681 * * [simplify]: Extracting #5: cost 0 inf + 749
5.681 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
5.681 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.682 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
5.682 * * [simplify]: iters left: 6 (13 enodes)
5.688 * * [simplify]: iters left: 5 (43 enodes)
5.699 * * [simplify]: Extracting #0: cost 1 inf + 0
5.699 * * [simplify]: Extracting #1: cost 4 inf + 0
5.699 * * [simplify]: Extracting #2: cost 8 inf + 0
5.699 * * [simplify]: Extracting #3: cost 14 inf + 0
5.700 * * [simplify]: Extracting #4: cost 22 inf + 0
5.700 * * [simplify]: Extracting #5: cost 17 inf + 45
5.700 * * [simplify]: Extracting #6: cost 10 inf + 537
5.700 * * [simplify]: Extracting #7: cost 4 inf + 1192
5.701 * * [simplify]: Extracting #8: cost 1 inf + 1844
5.702 * * [simplify]: Extracting #9: cost 0 inf + 2208
5.703 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
5.703 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.703 * * * * [progress]: [ 54 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))>
5.703 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
5.703 * * [simplify]: iters left: 6 (10 enodes)
5.709 * * [simplify]: iters left: 5 (35 enodes)
5.717 * * [simplify]: iters left: 4 (39 enodes)
5.723 * * [simplify]: Extracting #0: cost 1 inf + 0
5.723 * * [simplify]: Extracting #1: cost 6 inf + 0
5.723 * * [simplify]: Extracting #2: cost 9 inf + 1
5.723 * * [simplify]: Extracting #3: cost 11 inf + 1
5.723 * * [simplify]: Extracting #4: cost 14 inf + 1
5.723 * * [simplify]: Extracting #5: cost 18 inf + 1
5.723 * * [simplify]: Extracting #6: cost 16 inf + 3
5.723 * * [simplify]: Extracting #7: cost 11 inf + 289
5.724 * * [simplify]: Extracting #8: cost 6 inf + 1219
5.724 * * [simplify]: Extracting #9: cost 0 inf + 2995
5.724 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
5.724 * [simplify]: Simplified (2 1 1) to (λ (a b c 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)))))
5.725 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
5.725 * * [simplify]: iters left: 6 (13 enodes)
5.728 * * [simplify]: iters left: 5 (43 enodes)
5.735 * * [simplify]: Extracting #0: cost 1 inf + 0
5.735 * * [simplify]: Extracting #1: cost 4 inf + 0
5.735 * * [simplify]: Extracting #2: cost 9 inf + 0
5.735 * * [simplify]: Extracting #3: cost 17 inf + 0
5.735 * * [simplify]: Extracting #4: cost 16 inf + 4
5.735 * * [simplify]: Extracting #5: cost 12 inf + 334
5.736 * * [simplify]: Extracting #6: cost 5 inf + 1108
5.736 * * [simplify]: Extracting #7: cost 1 inf + 2040
5.736 * * [simplify]: Extracting #8: cost 0 inf + 2444
5.737 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))
5.737 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.737 * * * * [progress]: [ 55 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
5.737 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
5.737 * * [simplify]: iters left: 6 (10 enodes)
5.740 * * [simplify]: iters left: 5 (34 enodes)
5.746 * * [simplify]: iters left: 4 (36 enodes)
5.751 * * [simplify]: Extracting #0: cost 1 inf + 0
5.751 * * [simplify]: Extracting #1: cost 4 inf + 0
5.751 * * [simplify]: Extracting #2: cost 6 inf + 1
5.751 * * [simplify]: Extracting #3: cost 9 inf + 1
5.751 * * [simplify]: Extracting #4: cost 12 inf + 1
5.752 * * [simplify]: Extracting #5: cost 16 inf + 1
5.752 * * [simplify]: Extracting #6: cost 14 inf + 3
5.752 * * [simplify]: Extracting #7: cost 10 inf + 248
5.752 * * [simplify]: Extracting #8: cost 2 inf + 1824
5.752 * * [simplify]: Extracting #9: cost 0 inf + 2349
5.753 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
5.753 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.753 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
5.753 * * [simplify]: iters left: 6 (13 enodes)
5.756 * * [simplify]: iters left: 5 (43 enodes)
5.762 * * [simplify]: Extracting #0: cost 1 inf + 0
5.762 * * [simplify]: Extracting #1: cost 4 inf + 0
5.762 * * [simplify]: Extracting #2: cost 9 inf + 0
5.762 * * [simplify]: Extracting #3: cost 17 inf + 0
5.762 * * [simplify]: Extracting #4: cost 16 inf + 4
5.762 * * [simplify]: Extracting #5: cost 12 inf + 334
5.762 * * [simplify]: Extracting #6: cost 5 inf + 1148
5.762 * * [simplify]: Extracting #7: cost 1 inf + 2120
5.763 * * [simplify]: Extracting #8: cost 0 inf + 2524
5.763 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))
5.763 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.763 * * * * [progress]: [ 56 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
5.764 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.764 * * [simplify]: iters left: 6 (9 enodes)
5.766 * * [simplify]: iters left: 5 (30 enodes)
5.771 * * [simplify]: iters left: 4 (32 enodes)
5.777 * * [simplify]: Extracting #0: cost 1 inf + 0
5.777 * * [simplify]: Extracting #1: cost 4 inf + 0
5.777 * * [simplify]: Extracting #2: cost 5 inf + 1
5.777 * * [simplify]: Extracting #3: cost 7 inf + 1
5.777 * * [simplify]: Extracting #4: cost 10 inf + 1
5.777 * * [simplify]: Extracting #5: cost 14 inf + 1
5.777 * * [simplify]: Extracting #6: cost 12 inf + 3
5.777 * * [simplify]: Extracting #7: cost 8 inf + 248
5.778 * * [simplify]: Extracting #8: cost 4 inf + 775
5.778 * * [simplify]: Extracting #9: cost 0 inf + 1625
5.779 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.779 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.779 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.779 * * [simplify]: iters left: 6 (13 enodes)
5.785 * * [simplify]: iters left: 5 (43 enodes)
5.797 * * [simplify]: Extracting #0: cost 1 inf + 0
5.797 * * [simplify]: Extracting #1: cost 4 inf + 0
5.797 * * [simplify]: Extracting #2: cost 9 inf + 0
5.797 * * [simplify]: Extracting #3: cost 17 inf + 0
5.797 * * [simplify]: Extracting #4: cost 16 inf + 4
5.798 * * [simplify]: Extracting #5: cost 12 inf + 334
5.798 * * [simplify]: Extracting #6: cost 5 inf + 1068
5.799 * * [simplify]: Extracting #7: cost 1 inf + 1920
5.799 * * [simplify]: Extracting #8: cost 0 inf + 2284
5.800 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.800 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.800 * * * * [progress]: [ 57 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.801 * [simplify]: Simplifying (/ 1 (sqrt 1))
5.801 * * [simplify]: iters left: 3 (3 enodes)
5.808 * * [simplify]: iters left: 2 (11 enodes)
5.811 * * [simplify]: iters left: 1 (13 enodes)
5.814 * * [simplify]: Extracting #0: cost 1 inf + 0
5.814 * * [simplify]: Extracting #1: cost 0 inf + 1
5.814 * [simplify]: Simplified to 1
5.814 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.815 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.815 * * [simplify]: iters left: 6 (12 enodes)
5.820 * * [simplify]: iters left: 5 (40 enodes)
5.831 * * [simplify]: Extracting #0: cost 1 inf + 0
5.831 * * [simplify]: Extracting #1: cost 4 inf + 0
5.831 * * [simplify]: Extracting #2: cost 9 inf + 0
5.831 * * [simplify]: Extracting #3: cost 18 inf + 0
5.831 * * [simplify]: Extracting #4: cost 11 inf + 372
5.832 * * [simplify]: Extracting #5: cost 1 inf + 1476
5.832 * * [simplify]: Extracting #6: cost 0 inf + 1800
5.833 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
5.833 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.833 * * * * [progress]: [ 58 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
5.833 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.834 * * [simplify]: iters left: 6 (9 enodes)
5.838 * * [simplify]: iters left: 5 (30 enodes)
5.850 * * [simplify]: iters left: 4 (32 enodes)
5.858 * * [simplify]: Extracting #0: cost 1 inf + 0
5.858 * * [simplify]: Extracting #1: cost 4 inf + 0
5.859 * * [simplify]: Extracting #2: cost 5 inf + 1
5.859 * * [simplify]: Extracting #3: cost 7 inf + 1
5.859 * * [simplify]: Extracting #4: cost 10 inf + 1
5.859 * * [simplify]: Extracting #5: cost 14 inf + 1
5.859 * * [simplify]: Extracting #6: cost 12 inf + 3
5.859 * * [simplify]: Extracting #7: cost 8 inf + 248
5.859 * * [simplify]: Extracting #8: cost 4 inf + 775
5.860 * * [simplify]: Extracting #9: cost 0 inf + 1625
5.860 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.860 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.861 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.861 * * [simplify]: iters left: 6 (13 enodes)
5.866 * * [simplify]: iters left: 5 (43 enodes)
5.877 * * [simplify]: Extracting #0: cost 1 inf + 0
5.878 * * [simplify]: Extracting #1: cost 4 inf + 0
5.878 * * [simplify]: Extracting #2: cost 9 inf + 0
5.878 * * [simplify]: Extracting #3: cost 17 inf + 0
5.878 * * [simplify]: Extracting #4: cost 16 inf + 4
5.878 * * [simplify]: Extracting #5: cost 12 inf + 334
5.878 * * [simplify]: Extracting #6: cost 5 inf + 1068
5.879 * * [simplify]: Extracting #7: cost 1 inf + 1920
5.880 * * [simplify]: Extracting #8: cost 0 inf + 2284
5.880 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.881 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
5.881 * * * * [progress]: [ 59 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 1) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.881 * [simplify]: Simplifying (/ 1 1)
5.881 * * [simplify]: iters left: 2 (2 enodes)
5.883 * * [simplify]: iters left: 1 (6 enodes)
5.885 * * [simplify]: Extracting #0: cost 1 inf + 0
5.885 * * [simplify]: Extracting #1: cost 0 inf + 1
5.885 * [simplify]: Simplified to 1
5.885 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.885 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.885 * * [simplify]: iters left: 6 (12 enodes)
5.891 * * [simplify]: iters left: 5 (40 enodes)
5.897 * * [simplify]: Extracting #0: cost 1 inf + 0
5.898 * * [simplify]: Extracting #1: cost 4 inf + 0
5.898 * * [simplify]: Extracting #2: cost 9 inf + 0
5.898 * * [simplify]: Extracting #3: cost 18 inf + 0
5.898 * * [simplify]: Extracting #4: cost 11 inf + 372
5.898 * * [simplify]: Extracting #5: cost 1 inf + 1476
5.898 * * [simplify]: Extracting #6: cost 0 inf + 1800
5.899 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
5.899 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.899 * * * * [progress]: [ 60 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.899 * * * * [progress]: [ 61 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.899 * * * * [progress]: [ 62 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
5.899 * * * * [progress]: [ 63 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.899 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
5.899 * * [simplify]: iters left: 6 (7 enodes)
5.901 * * [simplify]: iters left: 5 (22 enodes)
5.903 * * [simplify]: Extracting #0: cost 1 inf + 0
5.903 * * [simplify]: Extracting #1: cost 3 inf + 0
5.903 * * [simplify]: Extracting #2: cost 5 inf + 0
5.903 * * [simplify]: Extracting #3: cost 8 inf + 0
5.904 * * [simplify]: Extracting #4: cost 12 inf + 0
5.904 * * [simplify]: Extracting #5: cost 10 inf + 2
5.904 * * [simplify]: Extracting #6: cost 1 inf + 976
5.904 * * [simplify]: Extracting #7: cost 0 inf + 1218
5.904 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
5.904 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.904 * * * * [progress]: [ 64 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
5.904 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
5.904 * * [simplify]: iters left: 6 (7 enodes)
5.906 * * [simplify]: iters left: 5 (22 enodes)
5.909 * * [simplify]: Extracting #0: cost 1 inf + 0
5.909 * * [simplify]: Extracting #1: cost 3 inf + 0
5.909 * * [simplify]: Extracting #2: cost 5 inf + 0
5.909 * * [simplify]: Extracting #3: cost 8 inf + 0
5.909 * * [simplify]: Extracting #4: cost 12 inf + 0
5.909 * * [simplify]: Extracting #5: cost 10 inf + 2
5.909 * * [simplify]: Extracting #6: cost 1 inf + 1056
5.909 * * [simplify]: Extracting #7: cost 0 inf + 1298
5.910 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
5.910 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
5.910 * * * * [progress]: [ 65 / 100 ] simplifiying candidate #<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)))))>
5.910 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
5.910 * * [simplify]: iters left: 6 (7 enodes)
5.911 * * [simplify]: iters left: 5 (22 enodes)
5.914 * * [simplify]: Extracting #0: cost 1 inf + 0
5.914 * * [simplify]: Extracting #1: cost 3 inf + 0
5.914 * * [simplify]: Extracting #2: cost 5 inf + 0
5.914 * * [simplify]: Extracting #3: cost 8 inf + 0
5.914 * * [simplify]: Extracting #4: cost 12 inf + 0
5.914 * * [simplify]: Extracting #5: cost 10 inf + 2
5.914 * * [simplify]: Extracting #6: cost 1 inf + 936
5.915 * * [simplify]: Extracting #7: cost 0 inf + 1138
5.915 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
5.915 * [simplify]: Simplified (2 1 2) to (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)))))
5.915 * * * * [progress]: [ 66 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
5.915 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
5.915 * * [simplify]: iters left: 5 (6 enodes)
5.917 * * [simplify]: iters left: 4 (19 enodes)
5.919 * * [simplify]: Extracting #0: cost 1 inf + 0
5.919 * * [simplify]: Extracting #1: cost 3 inf + 0
5.919 * * [simplify]: Extracting #2: cost 6 inf + 0
5.919 * * [simplify]: Extracting #3: cost 10 inf + 0
5.919 * * [simplify]: Extracting #4: cost 6 inf + 84
5.919 * * [simplify]: Extracting #5: cost 0 inf + 734
5.919 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
5.919 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
5.920 * * * * [progress]: [ 67 / 100 ] simplifiying candidate #<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)))))>
5.920 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
5.920 * * [simplify]: iters left: 6 (7 enodes)
5.921 * * [simplify]: iters left: 5 (22 enodes)
5.926 * * [simplify]: Extracting #0: cost 1 inf + 0
5.926 * * [simplify]: Extracting #1: cost 3 inf + 0
5.927 * * [simplify]: Extracting #2: cost 5 inf + 0
5.927 * * [simplify]: Extracting #3: cost 8 inf + 0
5.927 * * [simplify]: Extracting #4: cost 12 inf + 0
5.927 * * [simplify]: Extracting #5: cost 10 inf + 2
5.927 * * [simplify]: Extracting #6: cost 1 inf + 936
5.927 * * [simplify]: Extracting #7: cost 0 inf + 1138
5.928 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
5.928 * [simplify]: Simplified (2 1 2) to (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)))))
5.928 * * * * [progress]: [ 68 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
5.928 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
5.928 * * [simplify]: iters left: 5 (6 enodes)
5.931 * * [simplify]: iters left: 4 (19 enodes)
5.936 * * [simplify]: Extracting #0: cost 1 inf + 0
5.936 * * [simplify]: Extracting #1: cost 3 inf + 0
5.936 * * [simplify]: Extracting #2: cost 6 inf + 0
5.936 * * [simplify]: Extracting #3: cost 10 inf + 0
5.936 * * [simplify]: Extracting #4: cost 6 inf + 84
5.937 * * [simplify]: Extracting #5: cost 0 inf + 734
5.937 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
5.937 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
5.937 * * * * [progress]: [ 69 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))>
5.938 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
5.938 * * [simplify]: iters left: 6 (9 enodes)
5.942 * * [simplify]: iters left: 5 (30 enodes)
5.950 * * [simplify]: Extracting #0: cost 1 inf + 0
5.950 * * [simplify]: Extracting #1: cost 3 inf + 0
5.951 * * [simplify]: Extracting #2: cost 5 inf + 0
5.951 * * [simplify]: Extracting #3: cost 8 inf + 0
5.951 * * [simplify]: Extracting #4: cost 14 inf + 0
5.951 * * [simplify]: Extracting #5: cost 9 inf + 46
5.951 * * [simplify]: Extracting #6: cost 4 inf + 500
5.951 * * [simplify]: Extracting #7: cost 1 inf + 1072
5.952 * * [simplify]: Extracting #8: cost 0 inf + 1316
5.952 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
5.952 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
5.952 * * * * [progress]: [ 70 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
5.953 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
5.953 * * [simplify]: iters left: 5 (8 enodes)
5.956 * * [simplify]: iters left: 4 (27 enodes)
5.963 * * [simplify]: Extracting #0: cost 1 inf + 0
5.963 * * [simplify]: Extracting #1: cost 3 inf + 0
5.963 * * [simplify]: Extracting #2: cost 6 inf + 0
5.963 * * [simplify]: Extracting #3: cost 12 inf + 0
5.964 * * [simplify]: Extracting #4: cost 8 inf + 4
5.964 * * [simplify]: Extracting #5: cost 1 inf + 584
5.964 * * [simplify]: Extracting #6: cost 0 inf + 748
5.964 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
5.965 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
5.965 * * * * [progress]: [ 71 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
5.965 * * * * [progress]: [ 72 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (+ (* a c) (* b 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) (* d d)))))>
5.965 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
5.965 * * [simplify]: iters left: 6 (10 enodes)
5.973 * * [simplify]: iters left: 5 (52 enodes)
5.992 * * [simplify]: iters left: 4 (119 enodes)
6.021 * * [simplify]: iters left: 3 (234 enodes)
6.097 * * [simplify]: iters left: 2 (366 enodes)
6.227 * * [simplify]: Extracting #0: cost 1 inf + 0
6.227 * * [simplify]: Extracting #1: cost 3 inf + 0
6.227 * * [simplify]: Extracting #2: cost 22 inf + 0
6.228 * * [simplify]: Extracting #3: cost 148 inf + 0
6.229 * * [simplify]: Extracting #4: cost 202 inf + 2230
6.237 * * [simplify]: Extracting #5: cost 83 inf + 22274
6.250 * * [simplify]: Extracting #6: cost 1 inf + 35108
6.269 * * [simplify]: Extracting #7: cost 0 inf + 35040
6.281 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))
6.281 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
6.282 * * * * [progress]: [ 73 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
6.282 * [simplify]: Simplifying (sqrt (- (* c c) (* d d)))
6.282 * * [simplify]: iters left: 5 (6 enodes)
6.284 * * [simplify]: iters left: 4 (23 enodes)
6.289 * * [simplify]: iters left: 3 (36 enodes)
6.294 * * [simplify]: iters left: 2 (53 enodes)
6.303 * * [simplify]: iters left: 1 (94 enodes)
6.320 * * [simplify]: Extracting #0: cost 1 inf + 0
6.320 * * [simplify]: Extracting #1: cost 3 inf + 0
6.321 * * [simplify]: Extracting #2: cost 32 inf + 0
6.321 * * [simplify]: Extracting #3: cost 48 inf + 0
6.321 * * [simplify]: Extracting #4: cost 42 inf + 247
6.321 * * [simplify]: Extracting #5: cost 18 inf + 3412
6.324 * * [simplify]: Extracting #6: cost 0 inf + 5728
6.326 * * [simplify]: Extracting #7: cost 0 inf + 5448
6.328 * [simplify]: Simplified to (sqrt (- (* c c) (* d d)))
6.328 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
6.329 * * * * [progress]: [ 74 / 100 ] simplifiying candidate #<alt (λ (a b c 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) (* d d)))))>
6.329 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3))
6.329 * * [simplify]: iters left: 5 (10 enodes)
6.335 * * [simplify]: iters left: 4 (52 enodes)
6.355 * * [simplify]: iters left: 3 (145 enodes)
6.390 * * [simplify]: iters left: 2 (335 enodes)
6.503 * * [simplify]: Extracting #0: cost 1 inf + 0
6.503 * * [simplify]: Extracting #1: cost 4 inf + 0
6.503 * * [simplify]: Extracting #2: cost 51 inf + 0
6.504 * * [simplify]: Extracting #3: cost 124 inf + 950
6.505 * * [simplify]: Extracting #4: cost 89 inf + 8397
6.508 * * [simplify]: Extracting #5: cost 14 inf + 28399
6.512 * * [simplify]: Extracting #6: cost 1 inf + 33494
6.519 * * [simplify]: Extracting #7: cost 0 inf + 33747
6.523 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
6.523 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
6.524 * * * * [progress]: [ 75 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
6.524 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d)))
6.524 * * [simplify]: iters left: 6 (9 enodes)
6.528 * * [simplify]: iters left: 5 (48 enodes)
6.543 * * [simplify]: iters left: 4 (111 enodes)
6.582 * * [simplify]: iters left: 3 (181 enodes)
6.642 * * [simplify]: iters left: 2 (262 enodes)
6.701 * * [simplify]: iters left: 1 (473 enodes)
6.878 * * [simplify]: Extracting #0: cost 1 inf + 0
6.878 * * [simplify]: Extracting #1: cost 22 inf + 0
6.879 * * [simplify]: Extracting #2: cost 110 inf + 0
6.880 * * [simplify]: Extracting #3: cost 142 inf + 1440
6.888 * * [simplify]: Extracting #4: cost 41 inf + 15973
6.905 * * [simplify]: Extracting #5: cost 0 inf + 23364
6.918 * * [simplify]: Extracting #6: cost 0 inf + 23124
6.927 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d)))
6.927 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
6.927 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
6.927 * * * * [progress]: [ 77 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (log (* (exp (* a c)) (exp (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
6.927 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
6.927 * * [simplify]: iters left: 5 (9 enodes)
6.929 * * [simplify]: iters left: 4 (36 enodes)
6.935 * * [simplify]: iters left: 3 (55 enodes)
6.943 * * [simplify]: iters left: 2 (91 enodes)
6.963 * * [simplify]: iters left: 1 (191 enodes)
7.061 * * [simplify]: Extracting #0: cost 1 inf + 0
7.061 * * [simplify]: Extracting #1: cost 38 inf + 0
7.062 * * [simplify]: Extracting #2: cost 150 inf + 0
7.063 * * [simplify]: Extracting #3: cost 173 inf + 772
7.064 * * [simplify]: Extracting #4: cost 148 inf + 4628
7.066 * * [simplify]: Extracting #5: cost 93 inf + 18511
7.072 * * [simplify]: Extracting #6: cost 27 inf + 61555
7.080 * * [simplify]: Extracting #7: cost 0 inf + 82217
7.091 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
7.091 * [simplify]: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (log (exp (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
7.091 * * * * [progress]: [ 78 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (pow (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 79 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (exp (log (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 80 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (log (exp (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 81 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 82 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (cbrt (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 83 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.091 * * * * [progress]: [ 84 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.092 * * * * [progress]: [ 85 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* 1 (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.092 * * * * [progress]: [ 86 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.092 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (posit16->real (real->posit16 (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.092 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.092 * * * * [progress]: [ 89 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))>
7.092 * [simplify]: Simplifying d
7.092 * * [simplify]: iters left: 0 (1 enodes)
7.093 * * [simplify]: Extracting #0: cost 1 inf + 0
7.093 * * [simplify]: Extracting #1: cost 0 inf + 1
7.093 * [simplify]: Simplified to d
7.093 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))
7.093 * * * * [progress]: [ 90 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c))>
7.093 * [simplify]: Simplifying c
7.093 * * [simplify]: iters left: 0 (1 enodes)
7.093 * * [simplify]: Extracting #0: cost 1 inf + 0
7.093 * * [simplify]: Extracting #1: cost 0 inf + 1
7.093 * [simplify]: Simplified to c
7.094 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c))
7.094 * * * * [progress]: [ 91 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* -1 c)))>
7.094 * [simplify]: Simplifying (* -1 c)
7.094 * * [simplify]: iters left: 2 (3 enodes)
7.096 * * [simplify]: iters left: 1 (11 enodes)
7.098 * * [simplify]: Extracting #0: cost 1 inf + 0
7.098 * * [simplify]: Extracting #1: cost 4 inf + 0
7.098 * * [simplify]: Extracting #2: cost 0 inf + 84
7.099 * [simplify]: Simplified to (- c)
7.099 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (- c)))
7.099 * * * * [progress]: [ 92 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d)))))>
7.099 * [simplify]: Simplifying d
7.099 * * [simplify]: iters left: 0 (1 enodes)
7.099 * * [simplify]: Extracting #0: cost 1 inf + 0
7.100 * * [simplify]: Extracting #1: cost 0 inf + 1
7.100 * [simplify]: Simplified to d
7.100 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d)))))
7.100 * * * * [progress]: [ 93 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d)))))>
7.100 * [simplify]: Simplifying c
7.100 * * [simplify]: iters left: 0 (1 enodes)
7.100 * * [simplify]: Extracting #0: cost 1 inf + 0
7.100 * * [simplify]: Extracting #1: cost 0 inf + 1
7.100 * [simplify]: Simplified to c
7.101 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d)))))
7.101 * * * * [progress]: [ 94 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* -1 c)) (sqrt (+ (* c c) (* d d)))))>
7.101 * [simplify]: Simplifying (* -1 c)
7.101 * * [simplify]: iters left: 2 (3 enodes)
7.103 * * [simplify]: iters left: 1 (11 enodes)
7.105 * * [simplify]: Extracting #0: cost 1 inf + 0
7.105 * * [simplify]: Extracting #1: cost 4 inf + 0
7.105 * * [simplify]: Extracting #2: cost 0 inf + 84
7.105 * [simplify]: Simplified to (- c)
7.105 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (+ (* c c) (* d d)))))
7.105 * * * * [progress]: [ 95 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
7.106 * [simplify]: Simplifying b
7.106 * * [simplify]: iters left: 0 (1 enodes)
7.106 * * [simplify]: Extracting #0: cost 1 inf + 0
7.106 * * [simplify]: Extracting #1: cost 0 inf + 1
7.106 * [simplify]: Simplified to b
7.106 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
7.106 * * * * [progress]: [ 96 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
7.107 * [simplify]: Simplifying a
7.107 * * [simplify]: iters left: 0 (1 enodes)
7.107 * * [simplify]: Extracting #0: cost 1 inf + 0
7.107 * * [simplify]: Extracting #1: cost 0 inf + 1
7.107 * [simplify]: Simplified to a
7.107 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
7.107 * * * * [progress]: [ 97 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 a) (sqrt (+ (* c c) (* d d)))))>
7.107 * [simplify]: Simplifying (* -1 a)
7.107 * * [simplify]: iters left: 2 (3 enodes)
7.109 * * [simplify]: iters left: 1 (11 enodes)
7.112 * * [simplify]: Extracting #0: cost 1 inf + 0
7.112 * * [simplify]: Extracting #1: cost 4 inf + 0
7.112 * * [simplify]: Extracting #2: cost 0 inf + 84
7.112 * [simplify]: Simplified to (- a)
7.112 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))
7.112 * * * * [progress]: [ 98 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.113 * [simplify]: Simplifying 0
7.113 * * [simplify]: iters left: 0 (1 enodes)
7.113 * * [simplify]: Extracting #0: cost 1 inf + 0
7.114 * * [simplify]: Extracting #1: cost 0 inf + 1
7.114 * [simplify]: Simplified to 0
7.114 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
7.114 * * * * [progress]: [ 99 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.114 * [simplify]: Simplifying (+ (* a c) (* b d))
7.114 * * [simplify]: iters left: 4 (7 enodes)
7.117 * * [simplify]: iters left: 3 (24 enodes)
7.122 * * [simplify]: Extracting #0: cost 1 inf + 0
7.122 * * [simplify]: Extracting #1: cost 4 inf + 0
7.122 * * [simplify]: Extracting #2: cost 10 inf + 0
7.122 * * [simplify]: Extracting #3: cost 6 inf + 4
7.122 * * [simplify]: Extracting #4: cost 1 inf + 296
7.123 * * [simplify]: Extracting #5: cost 0 inf + 420
7.123 * [simplify]: Simplified to (+ (* b d) (* a c))
7.123 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
7.123 * * * * [progress]: [ 100 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
7.123 * [simplify]: Simplifying (+ (* a c) (* b d))
7.123 * * [simplify]: iters left: 4 (7 enodes)
7.127 * * [simplify]: iters left: 3 (24 enodes)
7.132 * * [simplify]: Extracting #0: cost 1 inf + 0
7.132 * * [simplify]: Extracting #1: cost 4 inf + 0
7.132 * * [simplify]: Extracting #2: cost 10 inf + 0
7.132 * * [simplify]: Extracting #3: cost 6 inf + 4
7.132 * * [simplify]: Extracting #4: cost 1 inf + 296
7.132 * * [simplify]: Extracting #5: cost 0 inf + 420
7.133 * [simplify]: Simplified to (+ (* b d) (* a c))
7.133 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
7.133 * * * [progress]: adding candidates to table
8.462 * * [progress]: iteration 3 / 4
8.462 * * * [progress]: picking best candidate
8.510 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
8.510 * * * [progress]: localizing error
8.571 * * * [progress]: generating rewritten candidates
8.571 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
8.583 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
8.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
8.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2)
8.616 * * * [progress]: generating series expansions
8.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
8.616 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
8.616 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
8.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.616 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.616 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.616 * [taylor]: Taking taylor expansion of c in d
8.616 * [backup-simplify]: Simplify c into c
8.616 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.616 * [taylor]: Taking taylor expansion of d in d
8.616 * [backup-simplify]: Simplify 0 into 0
8.616 * [backup-simplify]: Simplify 1 into 1
8.616 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.616 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.616 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.616 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.617 * [backup-simplify]: Simplify (+ 0 0) into 0
8.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.617 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.617 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.617 * [taylor]: Taking taylor expansion of c in c
8.617 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.617 * [taylor]: Taking taylor expansion of d in c
8.617 * [backup-simplify]: Simplify d into d
8.617 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.617 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.617 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.617 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.618 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.618 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.618 * [taylor]: Taking taylor expansion of c in c
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.618 * [taylor]: Taking taylor expansion of d in c
8.618 * [backup-simplify]: Simplify d into d
8.618 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.618 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.618 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.618 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.619 * [taylor]: Taking taylor expansion of d in d
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [taylor]: Taking taylor expansion of 0 in d
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify (* 1 1) into 1
8.626 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.626 * [backup-simplify]: Simplify (+ 1 0) into 1
8.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.627 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
8.627 * [taylor]: Taking taylor expansion of 1/2 in d
8.627 * [backup-simplify]: Simplify 1/2 into 1/2
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
8.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.628 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.630 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.630 * [backup-simplify]: Simplify (+ 0 0) into 0
8.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
8.631 * [taylor]: Taking taylor expansion of 0 in d
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
8.632 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.632 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.632 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.632 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.632 * [taylor]: Taking taylor expansion of c in d
8.632 * [backup-simplify]: Simplify c into c
8.632 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.632 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.632 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.632 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.632 * [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 1) into 1
8.634 * [backup-simplify]: Simplify (+ 0 1) into 1
8.634 * [backup-simplify]: Simplify (sqrt 1) into 1
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.636 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.637 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.637 * [taylor]: Taking taylor expansion of c in c
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify 1 into 1
8.637 * [backup-simplify]: Simplify (* 1 1) into 1
8.637 * [backup-simplify]: Simplify (/ 1 1) into 1
8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.637 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.637 * [taylor]: Taking taylor expansion of d in c
8.637 * [backup-simplify]: Simplify d into d
8.638 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.638 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.638 * [backup-simplify]: Simplify (+ 1 0) into 1
8.638 * [backup-simplify]: Simplify (sqrt 1) into 1
8.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (+ 0 0) into 0
8.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.641 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.641 * [taylor]: Taking taylor expansion of c in c
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 1 into 1
8.641 * [backup-simplify]: Simplify (* 1 1) into 1
8.642 * [backup-simplify]: Simplify (/ 1 1) into 1
8.642 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.642 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.642 * [taylor]: Taking taylor expansion of d in c
8.642 * [backup-simplify]: Simplify d into d
8.642 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.642 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.642 * [backup-simplify]: Simplify (+ 1 0) into 1
8.643 * [backup-simplify]: Simplify (sqrt 1) into 1
8.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.645 * [backup-simplify]: Simplify (+ 0 0) into 0
8.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.646 * [taylor]: Taking taylor expansion of 1 in d
8.646 * [backup-simplify]: Simplify 1 into 1
8.646 * [taylor]: Taking taylor expansion of 0 in d
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 1 into 1
8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.649 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.649 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.649 * [taylor]: Taking taylor expansion of 1/2 in d
8.650 * [backup-simplify]: Simplify 1/2 into 1/2
8.650 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.650 * [taylor]: Taking taylor expansion of d in d
8.650 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify 1 into 1
8.650 * [backup-simplify]: Simplify (* 1 1) into 1
8.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.654 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.655 * [backup-simplify]: Simplify (+ 0 0) into 0
8.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.655 * [taylor]: Taking taylor expansion of 0 in d
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
8.658 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.658 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.658 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.658 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.658 * [taylor]: Taking taylor expansion of c in d
8.658 * [backup-simplify]: Simplify c into c
8.658 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.658 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.658 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.658 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.658 * [taylor]: Taking taylor expansion of d in d
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.659 * [backup-simplify]: Simplify (* 1 1) into 1
8.659 * [backup-simplify]: Simplify (/ 1 1) into 1
8.660 * [backup-simplify]: Simplify (+ 0 1) into 1
8.660 * [backup-simplify]: Simplify (sqrt 1) into 1
8.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.662 * [backup-simplify]: Simplify (+ 0 0) into 0
8.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.663 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.663 * [taylor]: Taking taylor expansion of c in c
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [backup-simplify]: Simplify (* 1 1) into 1
8.664 * [backup-simplify]: Simplify (/ 1 1) into 1
8.664 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.664 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.664 * [taylor]: Taking taylor expansion of d in c
8.664 * [backup-simplify]: Simplify d into d
8.664 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.664 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.664 * [backup-simplify]: Simplify (+ 1 0) into 1
8.665 * [backup-simplify]: Simplify (sqrt 1) into 1
8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.667 * [backup-simplify]: Simplify (+ 0 0) into 0
8.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.667 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.667 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.667 * [taylor]: Taking taylor expansion of c in c
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.668 * [backup-simplify]: Simplify (* 1 1) into 1
8.668 * [backup-simplify]: Simplify (/ 1 1) into 1
8.668 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.668 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.668 * [taylor]: Taking taylor expansion of d in c
8.668 * [backup-simplify]: Simplify d into d
8.668 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.668 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.669 * [backup-simplify]: Simplify (+ 1 0) into 1
8.669 * [backup-simplify]: Simplify (sqrt 1) into 1
8.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (+ 0 0) into 0
8.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.672 * [taylor]: Taking taylor expansion of 1 in d
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [taylor]: Taking taylor expansion of 0 in d
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.674 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.675 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.675 * [taylor]: Taking taylor expansion of 1/2 in d
8.675 * [backup-simplify]: Simplify 1/2 into 1/2
8.675 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.675 * [taylor]: Taking taylor expansion of d in d
8.675 * [backup-simplify]: Simplify 0 into 0
8.675 * [backup-simplify]: Simplify 1 into 1
8.676 * [backup-simplify]: Simplify (* 1 1) into 1
8.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify 0 into 0
8.679 * [backup-simplify]: Simplify 0 into 0
8.679 * [backup-simplify]: Simplify 0 into 0
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.681 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.682 * [backup-simplify]: Simplify (+ 0 0) into 0
8.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.683 * [taylor]: Taking taylor expansion of 0 in d
8.683 * [backup-simplify]: Simplify 0 into 0
8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
8.685 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
8.685 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
8.685 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
8.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.685 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.685 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.685 * [taylor]: Taking taylor expansion of c in d
8.685 * [backup-simplify]: Simplify c into c
8.685 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.685 * [taylor]: Taking taylor expansion of d in d
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 1 into 1
8.685 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.686 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.686 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.686 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.686 * [backup-simplify]: Simplify (+ 0 0) into 0
8.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.686 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.686 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.686 * [taylor]: Taking taylor expansion of c in c
8.686 * [backup-simplify]: Simplify 0 into 0
8.686 * [backup-simplify]: Simplify 1 into 1
8.686 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.686 * [taylor]: Taking taylor expansion of d in c
8.686 * [backup-simplify]: Simplify d into d
8.687 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.687 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.687 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.687 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.687 * [backup-simplify]: Simplify (+ 0 0) into 0
8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.687 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.687 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.687 * [taylor]: Taking taylor expansion of c in c
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 1 into 1
8.688 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.688 * [taylor]: Taking taylor expansion of d in c
8.688 * [backup-simplify]: Simplify d into d
8.688 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.688 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.688 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.688 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.688 * [backup-simplify]: Simplify (+ 0 0) into 0
8.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.688 * [taylor]: Taking taylor expansion of d in d
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [taylor]: Taking taylor expansion of 0 in d
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify (* 1 1) into 1
8.690 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.690 * [backup-simplify]: Simplify (+ 1 0) into 1
8.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.691 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
8.691 * [taylor]: Taking taylor expansion of 1/2 in d
8.691 * [backup-simplify]: Simplify 1/2 into 1/2
8.691 * [taylor]: Taking taylor expansion of d in d
8.691 * [backup-simplify]: Simplify 0 into 0
8.691 * [backup-simplify]: Simplify 1 into 1
8.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify 0 into 0
8.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.694 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.694 * [backup-simplify]: Simplify (+ 0 0) into 0
8.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
8.694 * [taylor]: Taking taylor expansion of 0 in d
8.694 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
8.696 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.696 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.696 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.696 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.696 * [taylor]: Taking taylor expansion of c in d
8.696 * [backup-simplify]: Simplify c into c
8.696 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.696 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.696 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.696 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.696 * [taylor]: Taking taylor expansion of d in d
8.696 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify 1 into 1
8.697 * [backup-simplify]: Simplify (* 1 1) into 1
8.697 * [backup-simplify]: Simplify (/ 1 1) into 1
8.697 * [backup-simplify]: Simplify (+ 0 1) into 1
8.698 * [backup-simplify]: Simplify (sqrt 1) into 1
8.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.700 * [backup-simplify]: Simplify (+ 0 0) into 0
8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.700 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.700 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.700 * [taylor]: Taking taylor expansion of c in c
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify (* 1 1) into 1
8.701 * [backup-simplify]: Simplify (/ 1 1) into 1
8.701 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.701 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.701 * [taylor]: Taking taylor expansion of d in c
8.701 * [backup-simplify]: Simplify d into d
8.701 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.701 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.702 * [backup-simplify]: Simplify (+ 1 0) into 1
8.702 * [backup-simplify]: Simplify (sqrt 1) into 1
8.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.704 * [backup-simplify]: Simplify (+ 0 0) into 0
8.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.705 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.705 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.705 * [taylor]: Taking taylor expansion of c in c
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 1 into 1
8.706 * [backup-simplify]: Simplify (* 1 1) into 1
8.706 * [backup-simplify]: Simplify (/ 1 1) into 1
8.706 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.706 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.706 * [taylor]: Taking taylor expansion of d in c
8.706 * [backup-simplify]: Simplify d into d
8.706 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.706 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.707 * [backup-simplify]: Simplify (+ 1 0) into 1
8.707 * [backup-simplify]: Simplify (sqrt 1) into 1
8.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.709 * [backup-simplify]: Simplify (+ 0 0) into 0
8.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.710 * [taylor]: Taking taylor expansion of 1 in d
8.710 * [backup-simplify]: Simplify 1 into 1
8.710 * [taylor]: Taking taylor expansion of 0 in d
8.710 * [backup-simplify]: Simplify 0 into 0
8.710 * [backup-simplify]: Simplify 1 into 1
8.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.712 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.713 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.713 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.713 * [taylor]: Taking taylor expansion of 1/2 in d
8.713 * [backup-simplify]: Simplify 1/2 into 1/2
8.713 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.713 * [taylor]: Taking taylor expansion of d in d
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.714 * [backup-simplify]: Simplify (* 1 1) into 1
8.714 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 0 into 0
8.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.718 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.719 * [backup-simplify]: Simplify (+ 0 0) into 0
8.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.719 * [taylor]: Taking taylor expansion of 0 in d
8.719 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
8.722 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.722 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
8.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.722 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.722 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.722 * [taylor]: Taking taylor expansion of c in d
8.722 * [backup-simplify]: Simplify c into c
8.722 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.722 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.722 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.722 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.722 * [taylor]: Taking taylor expansion of d in d
8.722 * [backup-simplify]: Simplify 0 into 0
8.722 * [backup-simplify]: Simplify 1 into 1
8.722 * [backup-simplify]: Simplify (* 1 1) into 1
8.723 * [backup-simplify]: Simplify (/ 1 1) into 1
8.723 * [backup-simplify]: Simplify (+ 0 1) into 1
8.724 * [backup-simplify]: Simplify (sqrt 1) into 1
8.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.725 * [backup-simplify]: Simplify (+ 0 0) into 0
8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.726 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.726 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.726 * [taylor]: Taking taylor expansion of c in c
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.727 * [backup-simplify]: Simplify (* 1 1) into 1
8.727 * [backup-simplify]: Simplify (/ 1 1) into 1
8.727 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.727 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.727 * [taylor]: Taking taylor expansion of d in c
8.727 * [backup-simplify]: Simplify d into d
8.727 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.727 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.728 * [backup-simplify]: Simplify (+ 1 0) into 1
8.728 * [backup-simplify]: Simplify (sqrt 1) into 1
8.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.730 * [backup-simplify]: Simplify (+ 0 0) into 0
8.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.731 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.731 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.731 * [taylor]: Taking taylor expansion of c in c
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.731 * [backup-simplify]: Simplify (/ 1 1) into 1
8.731 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.731 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.732 * [taylor]: Taking taylor expansion of d in c
8.732 * [backup-simplify]: Simplify d into d
8.732 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.732 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.732 * [backup-simplify]: Simplify (+ 1 0) into 1
8.733 * [backup-simplify]: Simplify (sqrt 1) into 1
8.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.735 * [taylor]: Taking taylor expansion of 1 in d
8.735 * [backup-simplify]: Simplify 1 into 1
8.735 * [taylor]: Taking taylor expansion of 0 in d
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.737 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.739 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.739 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
8.739 * [taylor]: Taking taylor expansion of 1/2 in d
8.739 * [backup-simplify]: Simplify 1/2 into 1/2
8.739 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.739 * [taylor]: Taking taylor expansion of d in d
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 1 into 1
8.739 * [backup-simplify]: Simplify (* 1 1) into 1
8.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.742 * [backup-simplify]: Simplify 0 into 0
8.742 * [backup-simplify]: Simplify 0 into 0
8.742 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.744 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.744 * [backup-simplify]: Simplify (+ 0 0) into 0
8.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
8.745 * [taylor]: Taking taylor expansion of 0 in d
8.745 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.747 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
8.747 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
8.748 * [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))))
8.748 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in (c d a b) around 0
8.748 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in b
8.748 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in b
8.748 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.748 * [taylor]: Taking taylor expansion of (* a c) in b
8.748 * [taylor]: Taking taylor expansion of a in b
8.748 * [backup-simplify]: Simplify a into a
8.748 * [taylor]: Taking taylor expansion of c in b
8.748 * [backup-simplify]: Simplify c into c
8.748 * [taylor]: Taking taylor expansion of (* b d) in b
8.748 * [taylor]: Taking taylor expansion of b in b
8.748 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify 1 into 1
8.748 * [taylor]: Taking taylor expansion of d in b
8.748 * [backup-simplify]: Simplify d into d
8.748 * [backup-simplify]: Simplify (* a c) into (* a c)
8.748 * [backup-simplify]: Simplify (* 0 d) into 0
8.748 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
8.748 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in b
8.748 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
8.748 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.748 * [taylor]: Taking taylor expansion of c in b
8.748 * [backup-simplify]: Simplify c into c
8.748 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.748 * [taylor]: Taking taylor expansion of d in b
8.748 * [backup-simplify]: Simplify d into d
8.749 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.749 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.749 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.749 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
8.749 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.749 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.750 * [backup-simplify]: Simplify (+ 0 0) into 0
8.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
8.750 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in a
8.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in a
8.750 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.750 * [taylor]: Taking taylor expansion of (* a c) in a
8.750 * [taylor]: Taking taylor expansion of a in a
8.750 * [backup-simplify]: Simplify 0 into 0
8.750 * [backup-simplify]: Simplify 1 into 1
8.750 * [taylor]: Taking taylor expansion of c in a
8.750 * [backup-simplify]: Simplify c into c
8.750 * [taylor]: Taking taylor expansion of (* b d) in a
8.750 * [taylor]: Taking taylor expansion of b in a
8.750 * [backup-simplify]: Simplify b into b
8.750 * [taylor]: Taking taylor expansion of d in a
8.750 * [backup-simplify]: Simplify d into d
8.750 * [backup-simplify]: Simplify (* 0 c) into 0
8.750 * [backup-simplify]: Simplify (* b d) into (* b d)
8.750 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.750 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in a
8.750 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
8.751 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.751 * [taylor]: Taking taylor expansion of c in a
8.751 * [backup-simplify]: Simplify c into c
8.751 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.751 * [taylor]: Taking taylor expansion of d in a
8.751 * [backup-simplify]: Simplify d into d
8.751 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.751 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.751 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
8.751 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
8.751 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.751 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.752 * [backup-simplify]: Simplify (+ 0 0) into 0
8.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
8.752 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in d
8.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in d
8.752 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.752 * [taylor]: Taking taylor expansion of (* a c) in d
8.752 * [taylor]: Taking taylor expansion of a in d
8.752 * [backup-simplify]: Simplify a into a
8.752 * [taylor]: Taking taylor expansion of c in d
8.752 * [backup-simplify]: Simplify c into c
8.752 * [taylor]: Taking taylor expansion of (* b d) in d
8.752 * [taylor]: Taking taylor expansion of b in d
8.752 * [backup-simplify]: Simplify b into b
8.752 * [taylor]: Taking taylor expansion of d in d
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (* a c) into (* a c)
8.752 * [backup-simplify]: Simplify (* b 0) into 0
8.752 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
8.753 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
8.753 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
8.753 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.753 * [taylor]: Taking taylor expansion of c in d
8.753 * [backup-simplify]: Simplify c into c
8.753 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.753 * [taylor]: Taking taylor expansion of d in d
8.753 * [backup-simplify]: Simplify 0 into 0
8.753 * [backup-simplify]: Simplify 1 into 1
8.753 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.753 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
8.753 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
8.753 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.753 * [backup-simplify]: Simplify (+ 0 0) into 0
8.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
8.754 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c
8.754 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c
8.754 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.754 * [taylor]: Taking taylor expansion of (* a c) in c
8.754 * [taylor]: Taking taylor expansion of a in c
8.754 * [backup-simplify]: Simplify a into a
8.754 * [taylor]: Taking taylor expansion of c in c
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.754 * [taylor]: Taking taylor expansion of (* b d) in c
8.754 * [taylor]: Taking taylor expansion of b in c
8.754 * [backup-simplify]: Simplify b into b
8.754 * [taylor]: Taking taylor expansion of d in c
8.754 * [backup-simplify]: Simplify d into d
8.754 * [backup-simplify]: Simplify (* a 0) into 0
8.754 * [backup-simplify]: Simplify (* b d) into (* b d)
8.754 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.754 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.754 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.754 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.754 * [taylor]: Taking taylor expansion of c in c
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.754 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.754 * [taylor]: Taking taylor expansion of d in c
8.755 * [backup-simplify]: Simplify d into d
8.755 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.755 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.755 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.755 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.756 * [backup-simplify]: Simplify (+ 0 0) into 0
8.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.756 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c
8.756 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c
8.756 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.756 * [taylor]: Taking taylor expansion of (* a c) in c
8.756 * [taylor]: Taking taylor expansion of a in c
8.756 * [backup-simplify]: Simplify a into a
8.756 * [taylor]: Taking taylor expansion of c in c
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify 1 into 1
8.756 * [taylor]: Taking taylor expansion of (* b d) in c
8.756 * [taylor]: Taking taylor expansion of b in c
8.756 * [backup-simplify]: Simplify b into b
8.756 * [taylor]: Taking taylor expansion of d in c
8.756 * [backup-simplify]: Simplify d into d
8.756 * [backup-simplify]: Simplify (* a 0) into 0
8.756 * [backup-simplify]: Simplify (* b d) into (* b d)
8.756 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.756 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
8.756 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
8.756 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.756 * [taylor]: Taking taylor expansion of c in c
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify 1 into 1
8.756 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.756 * [taylor]: Taking taylor expansion of d in c
8.757 * [backup-simplify]: Simplify d into d
8.757 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.757 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
8.757 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
8.757 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.757 * [backup-simplify]: Simplify (+ 0 0) into 0
8.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
8.757 * [backup-simplify]: Simplify (* (/ 1 (* b d)) d) into (/ 1 b)
8.758 * [taylor]: Taking taylor expansion of (/ 1 b) in d
8.758 * [taylor]: Taking taylor expansion of b in d
8.758 * [backup-simplify]: Simplify b into b
8.758 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.758 * [taylor]: Taking taylor expansion of (/ 1 b) in a
8.758 * [taylor]: Taking taylor expansion of b in a
8.758 * [backup-simplify]: Simplify b into b
8.758 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.758 * [taylor]: Taking taylor expansion of (/ 1 b) in b
8.758 * [taylor]: Taking taylor expansion of b in b
8.758 * [backup-simplify]: Simplify 0 into 0
8.758 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (/ 1 1) into 1
8.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.759 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.760 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.760 * [backup-simplify]: Simplify (+ a 0) into a
8.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ a (* b d))))) into (- (/ a (* (pow b 2) (pow d 2))))
8.760 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* (- (/ a (* (pow b 2) (pow d 2)))) d)) into (- (/ a (* (pow b 2) d)))
8.760 * [taylor]: Taking taylor expansion of (- (/ a (* (pow b 2) d))) in d
8.760 * [taylor]: Taking taylor expansion of (/ a (* (pow b 2) d)) in d
8.760 * [taylor]: Taking taylor expansion of a in d
8.760 * [backup-simplify]: Simplify a into a
8.760 * [taylor]: Taking taylor expansion of (* (pow b 2) d) in d
8.760 * [taylor]: Taking taylor expansion of (pow b 2) in d
8.761 * [taylor]: Taking taylor expansion of b in d
8.761 * [backup-simplify]: Simplify b into b
8.761 * [taylor]: Taking taylor expansion of d in d
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 1 into 1
8.761 * [backup-simplify]: Simplify (* b b) into (pow b 2)
8.761 * [backup-simplify]: Simplify (* (pow b 2) 0) into 0
8.761 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
8.761 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (* 0 0)) into (pow b 2)
8.761 * [backup-simplify]: Simplify (/ a (pow b 2)) into (/ a (pow b 2))
8.762 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
8.763 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.763 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0
8.763 * [backup-simplify]: Simplify (- 0) into 0
8.763 * [taylor]: Taking taylor expansion of 0 in a
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [taylor]: Taking taylor expansion of 0 in b
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
8.764 * [taylor]: Taking taylor expansion of 0 in a
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [taylor]: Taking taylor expansion of 0 in b
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
8.764 * [taylor]: Taking taylor expansion of 0 in b
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.765 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify (* 1 1) into 1
8.766 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.766 * [backup-simplify]: Simplify (+ 1 0) into 1
8.767 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
8.768 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
8.768 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.768 * [backup-simplify]: Simplify (+ 0 0) into 0
8.769 * [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)))
8.770 * [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)))))
8.770 * [taylor]: Taking taylor expansion of (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) in d
8.770 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* (pow b 3) (pow d 2))) in d
8.770 * [taylor]: Taking taylor expansion of (pow a 2) in d
8.770 * [taylor]: Taking taylor expansion of a in d
8.770 * [backup-simplify]: Simplify a into a
8.770 * [taylor]: Taking taylor expansion of (* (pow b 3) (pow d 2)) in d
8.770 * [taylor]: Taking taylor expansion of (pow b 3) in d
8.770 * [taylor]: Taking taylor expansion of b in d
8.770 * [backup-simplify]: Simplify b into b
8.770 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.770 * [taylor]: Taking taylor expansion of d in d
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 1 into 1
8.770 * [backup-simplify]: Simplify (* a a) into (pow a 2)
8.770 * [backup-simplify]: Simplify (* b b) into (pow b 2)
8.770 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3)
8.771 * [backup-simplify]: Simplify (* 1 1) into 1
8.771 * [backup-simplify]: Simplify (* (pow b 3) 1) into (pow b 3)
8.771 * [backup-simplify]: Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3))
8.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 2)))) in d
8.771 * [taylor]: Taking taylor expansion of 1/2 in d
8.771 * [backup-simplify]: Simplify 1/2 into 1/2
8.771 * [taylor]: Taking taylor expansion of (/ 1 (* b (pow d 2))) in d
8.771 * [taylor]: Taking taylor expansion of (* b (pow d 2)) in d
8.771 * [taylor]: Taking taylor expansion of b in d
8.771 * [backup-simplify]: Simplify b into b
8.771 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.771 * [taylor]: Taking taylor expansion of d in d
8.771 * [backup-simplify]: Simplify 0 into 0
8.771 * [backup-simplify]: Simplify 1 into 1
8.772 * [backup-simplify]: Simplify (* 1 1) into 1
8.772 * [backup-simplify]: Simplify (* b 1) into b
8.772 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.772 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
8.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.773 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
8.773 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0
8.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.775 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
8.781 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0
8.782 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (+ (* 0 0) (* 0 1))) into 0
8.782 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
8.782 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (* 0 1)) into 0
8.783 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0
8.783 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0
8.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.785 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
8.786 * [backup-simplify]: Simplify (+ (* b 0) (* 0 1)) into 0
8.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
8.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
8.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.788 * [taylor]: Taking taylor expansion of 0 in a
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [taylor]: Taking taylor expansion of 0 in b
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [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)))))
8.788 * [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
8.788 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
8.788 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b
8.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.788 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.788 * [taylor]: Taking taylor expansion of (* b d) in b
8.789 * [taylor]: Taking taylor expansion of b in b
8.789 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify 1 into 1
8.789 * [taylor]: Taking taylor expansion of d in b
8.789 * [backup-simplify]: Simplify d into d
8.789 * [backup-simplify]: Simplify (* 0 d) into 0
8.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.789 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.789 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.789 * [taylor]: Taking taylor expansion of (* a c) in b
8.789 * [taylor]: Taking taylor expansion of a in b
8.789 * [backup-simplify]: Simplify a into a
8.789 * [taylor]: Taking taylor expansion of c in b
8.789 * [backup-simplify]: Simplify c into c
8.789 * [backup-simplify]: Simplify (* a c) into (* a c)
8.789 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.790 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
8.790 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d
8.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.790 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.790 * [taylor]: Taking taylor expansion of c in b
8.790 * [backup-simplify]: Simplify c into c
8.790 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.790 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.790 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.790 * [taylor]: Taking taylor expansion of d in b
8.790 * [backup-simplify]: Simplify d into d
8.790 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.790 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.790 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.791 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.791 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.791 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.792 * [backup-simplify]: Simplify (+ 0 0) into 0
8.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
8.792 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.792 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a
8.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.792 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.792 * [taylor]: Taking taylor expansion of (* b d) in a
8.792 * [taylor]: Taking taylor expansion of b in a
8.792 * [backup-simplify]: Simplify b into b
8.792 * [taylor]: Taking taylor expansion of d in a
8.792 * [backup-simplify]: Simplify d into d
8.792 * [backup-simplify]: Simplify (* b d) into (* b d)
8.792 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.792 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.792 * [taylor]: Taking taylor expansion of (* a c) in a
8.792 * [taylor]: Taking taylor expansion of a in a
8.792 * [backup-simplify]: Simplify 0 into 0
8.792 * [backup-simplify]: Simplify 1 into 1
8.792 * [taylor]: Taking taylor expansion of c in a
8.792 * [backup-simplify]: Simplify c into c
8.793 * [backup-simplify]: Simplify (* 0 c) into 0
8.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.793 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.793 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.793 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c
8.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.793 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.793 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.793 * [taylor]: Taking taylor expansion of c in a
8.793 * [backup-simplify]: Simplify c into c
8.793 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.794 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.794 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.794 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.794 * [taylor]: Taking taylor expansion of d in a
8.794 * [backup-simplify]: Simplify d into d
8.794 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.794 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.794 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.794 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.794 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.795 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.795 * [backup-simplify]: Simplify (+ 0 0) into 0
8.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
8.795 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
8.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d
8.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.796 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.796 * [taylor]: Taking taylor expansion of (* b d) in d
8.796 * [taylor]: Taking taylor expansion of b in d
8.796 * [backup-simplify]: Simplify b into b
8.796 * [taylor]: Taking taylor expansion of d in d
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 1 into 1
8.796 * [backup-simplify]: Simplify (* b 0) into 0
8.796 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.796 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.796 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.796 * [taylor]: Taking taylor expansion of (* a c) in d
8.796 * [taylor]: Taking taylor expansion of a in d
8.796 * [backup-simplify]: Simplify a into a
8.796 * [taylor]: Taking taylor expansion of c in d
8.796 * [backup-simplify]: Simplify c into c
8.796 * [backup-simplify]: Simplify (* a c) into (* a c)
8.796 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.797 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
8.797 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b
8.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.797 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.797 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.797 * [taylor]: Taking taylor expansion of c in d
8.797 * [backup-simplify]: Simplify c into c
8.797 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.797 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.797 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.797 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.797 * [taylor]: Taking taylor expansion of d in d
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 1 into 1
8.797 * [backup-simplify]: Simplify (* 1 1) into 1
8.798 * [backup-simplify]: Simplify (/ 1 1) into 1
8.798 * [backup-simplify]: Simplify (+ 0 1) into 1
8.799 * [backup-simplify]: Simplify (sqrt 1) into 1
8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.800 * [backup-simplify]: Simplify (+ 0 0) into 0
8.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.801 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.801 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
8.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.801 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.801 * [taylor]: Taking taylor expansion of (* b d) in c
8.801 * [taylor]: Taking taylor expansion of b in c
8.801 * [backup-simplify]: Simplify b into b
8.801 * [taylor]: Taking taylor expansion of d in c
8.801 * [backup-simplify]: Simplify d into d
8.801 * [backup-simplify]: Simplify (* b d) into (* b d)
8.801 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.802 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.802 * [taylor]: Taking taylor expansion of (* a c) in c
8.802 * [taylor]: Taking taylor expansion of a in c
8.802 * [backup-simplify]: Simplify a into a
8.802 * [taylor]: Taking taylor expansion of c in c
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [backup-simplify]: Simplify (* a 0) into 0
8.802 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.802 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.802 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.802 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
8.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.802 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.803 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.803 * [taylor]: Taking taylor expansion of c in c
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.803 * [backup-simplify]: Simplify (/ 1 1) into 1
8.803 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.803 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.803 * [taylor]: Taking taylor expansion of d in c
8.803 * [backup-simplify]: Simplify d into d
8.803 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.804 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.804 * [backup-simplify]: Simplify (+ 1 0) into 1
8.804 * [backup-simplify]: Simplify (sqrt 1) into 1
8.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.806 * [backup-simplify]: Simplify (+ 0 0) into 0
8.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.807 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.807 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
8.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.807 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.807 * [taylor]: Taking taylor expansion of (* b d) in c
8.807 * [taylor]: Taking taylor expansion of b in c
8.807 * [backup-simplify]: Simplify b into b
8.807 * [taylor]: Taking taylor expansion of d in c
8.807 * [backup-simplify]: Simplify d into d
8.808 * [backup-simplify]: Simplify (* b d) into (* b d)
8.808 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.808 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.808 * [taylor]: Taking taylor expansion of (* a c) in c
8.808 * [taylor]: Taking taylor expansion of a in c
8.808 * [backup-simplify]: Simplify a into a
8.808 * [taylor]: Taking taylor expansion of c in c
8.808 * [backup-simplify]: Simplify 0 into 0
8.808 * [backup-simplify]: Simplify 1 into 1
8.808 * [backup-simplify]: Simplify (* a 0) into 0
8.808 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.808 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.808 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.808 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
8.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.809 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.809 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.809 * [taylor]: Taking taylor expansion of c in c
8.809 * [backup-simplify]: Simplify 0 into 0
8.809 * [backup-simplify]: Simplify 1 into 1
8.809 * [backup-simplify]: Simplify (* 1 1) into 1
8.809 * [backup-simplify]: Simplify (/ 1 1) into 1
8.809 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.809 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.810 * [taylor]: Taking taylor expansion of d in c
8.810 * [backup-simplify]: Simplify d into d
8.810 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.810 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.810 * [backup-simplify]: Simplify (+ 1 0) into 1
8.810 * [backup-simplify]: Simplify (sqrt 1) into 1
8.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (+ 0 0) into 0
8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.813 * [backup-simplify]: Simplify (* a 1) into a
8.813 * [taylor]: Taking taylor expansion of a in d
8.813 * [backup-simplify]: Simplify a into a
8.813 * [taylor]: Taking taylor expansion of a in a
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 1 into 1
8.813 * [taylor]: Taking taylor expansion of 1 in b
8.813 * [backup-simplify]: Simplify 1 into 1
8.813 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
8.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
8.814 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.815 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
8.815 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d)))
8.815 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
8.815 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d
8.815 * [taylor]: Taking taylor expansion of (pow a 2) in d
8.815 * [taylor]: Taking taylor expansion of a in d
8.815 * [backup-simplify]: Simplify a into a
8.815 * [taylor]: Taking taylor expansion of (* b d) in d
8.815 * [taylor]: Taking taylor expansion of b in d
8.815 * [backup-simplify]: Simplify b into b
8.815 * [taylor]: Taking taylor expansion of d in d
8.815 * [backup-simplify]: Simplify 0 into 0
8.815 * [backup-simplify]: Simplify 1 into 1
8.815 * [backup-simplify]: Simplify (* a a) into (pow a 2)
8.815 * [backup-simplify]: Simplify (* b 0) into 0
8.816 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.816 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
8.816 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
8.817 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
8.817 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
8.817 * [backup-simplify]: Simplify (- 0) into 0
8.817 * [taylor]: Taking taylor expansion of 0 in a
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [taylor]: Taking taylor expansion of 0 in b
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [taylor]: Taking taylor expansion of 0 in a
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [taylor]: Taking taylor expansion of 0 in b
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [taylor]: Taking taylor expansion of 0 in b
8.817 * [backup-simplify]: Simplify 0 into 0
8.818 * [backup-simplify]: Simplify 0 into 0
8.818 * [backup-simplify]: Simplify 0 into 0
8.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.820 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.821 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.822 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
8.822 * [backup-simplify]: Simplify (+ 0 0) into 0
8.822 * [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)))
8.823 * [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))))
8.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
8.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
8.823 * [taylor]: Taking taylor expansion of 1/2 in d
8.823 * [backup-simplify]: Simplify 1/2 into 1/2
8.823 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d
8.823 * [taylor]: Taking taylor expansion of a in d
8.823 * [backup-simplify]: Simplify a into a
8.823 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.823 * [taylor]: Taking taylor expansion of d in d
8.823 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify 1 into 1
8.823 * [backup-simplify]: Simplify (* 1 1) into 1
8.823 * [backup-simplify]: Simplify (/ a 1) into a
8.823 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
8.823 * [taylor]: Taking taylor expansion of (pow a 3) in d
8.823 * [taylor]: Taking taylor expansion of a in d
8.823 * [backup-simplify]: Simplify a into a
8.823 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
8.823 * [taylor]: Taking taylor expansion of (pow b 2) in d
8.823 * [taylor]: Taking taylor expansion of b in d
8.823 * [backup-simplify]: Simplify b into b
8.823 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.823 * [taylor]: Taking taylor expansion of d in d
8.823 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify 1 into 1
8.824 * [backup-simplify]: Simplify (* a a) into (pow a 2)
8.824 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3)
8.824 * [backup-simplify]: Simplify (* b b) into (pow b 2)
8.824 * [backup-simplify]: Simplify (* 1 1) into 1
8.824 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2)
8.824 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
8.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
8.827 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
8.827 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
8.827 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0
8.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.828 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
8.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.829 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
8.829 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
8.829 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0
8.830 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
8.830 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
8.830 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
8.830 * [backup-simplify]: Simplify (+ 0 0) into 0
8.830 * [taylor]: Taking taylor expansion of 0 in a
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [taylor]: Taking taylor expansion of 0 in b
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 0 into 0
8.831 * [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)))))
8.831 * [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
8.831 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
8.831 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b
8.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.831 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.831 * [taylor]: Taking taylor expansion of (* b d) in b
8.831 * [taylor]: Taking taylor expansion of b in b
8.831 * [backup-simplify]: Simplify 0 into 0
8.831 * [backup-simplify]: Simplify 1 into 1
8.831 * [taylor]: Taking taylor expansion of d in b
8.831 * [backup-simplify]: Simplify d into d
8.831 * [backup-simplify]: Simplify (* 0 d) into 0
8.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.831 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.831 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.831 * [taylor]: Taking taylor expansion of (* a c) in b
8.831 * [taylor]: Taking taylor expansion of a in b
8.831 * [backup-simplify]: Simplify a into a
8.831 * [taylor]: Taking taylor expansion of c in b
8.831 * [backup-simplify]: Simplify c into c
8.831 * [backup-simplify]: Simplify (* a c) into (* a c)
8.831 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.832 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
8.832 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d
8.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.832 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.832 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.832 * [taylor]: Taking taylor expansion of c in b
8.832 * [backup-simplify]: Simplify c into c
8.832 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.832 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.832 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.832 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.832 * [taylor]: Taking taylor expansion of d in b
8.832 * [backup-simplify]: Simplify d into d
8.832 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.832 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.832 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.832 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.832 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.832 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.833 * [backup-simplify]: Simplify (+ 0 0) into 0
8.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
8.833 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.833 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a
8.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.833 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.833 * [taylor]: Taking taylor expansion of (* b d) in a
8.833 * [taylor]: Taking taylor expansion of b in a
8.833 * [backup-simplify]: Simplify b into b
8.833 * [taylor]: Taking taylor expansion of d in a
8.833 * [backup-simplify]: Simplify d into d
8.833 * [backup-simplify]: Simplify (* b d) into (* b d)
8.833 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.833 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.833 * [taylor]: Taking taylor expansion of (* a c) in a
8.833 * [taylor]: Taking taylor expansion of a in a
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 1 into 1
8.833 * [taylor]: Taking taylor expansion of c in a
8.833 * [backup-simplify]: Simplify c into c
8.833 * [backup-simplify]: Simplify (* 0 c) into 0
8.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.834 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.834 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.834 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c
8.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.834 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.834 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.834 * [taylor]: Taking taylor expansion of c in a
8.834 * [backup-simplify]: Simplify c into c
8.834 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.834 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.834 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.834 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.834 * [taylor]: Taking taylor expansion of d in a
8.834 * [backup-simplify]: Simplify d into d
8.834 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.834 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.834 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.834 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.834 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.835 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.835 * [backup-simplify]: Simplify (+ 0 0) into 0
8.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
8.835 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
8.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d
8.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.835 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.835 * [taylor]: Taking taylor expansion of (* b d) in d
8.835 * [taylor]: Taking taylor expansion of b in d
8.835 * [backup-simplify]: Simplify b into b
8.835 * [taylor]: Taking taylor expansion of d in d
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [backup-simplify]: Simplify (* b 0) into 0
8.836 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.836 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.836 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.836 * [taylor]: Taking taylor expansion of (* a c) in d
8.836 * [taylor]: Taking taylor expansion of a in d
8.836 * [backup-simplify]: Simplify a into a
8.836 * [taylor]: Taking taylor expansion of c in d
8.836 * [backup-simplify]: Simplify c into c
8.836 * [backup-simplify]: Simplify (* a c) into (* a c)
8.836 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.836 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
8.836 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b
8.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.836 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.836 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.836 * [taylor]: Taking taylor expansion of c in d
8.836 * [backup-simplify]: Simplify c into c
8.836 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.836 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.836 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.836 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.836 * [taylor]: Taking taylor expansion of d in d
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 1 into 1
8.836 * [backup-simplify]: Simplify (* 1 1) into 1
8.837 * [backup-simplify]: Simplify (/ 1 1) into 1
8.837 * [backup-simplify]: Simplify (+ 0 1) into 1
8.837 * [backup-simplify]: Simplify (sqrt 1) into 1
8.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.838 * [backup-simplify]: Simplify (+ 0 0) into 0
8.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.839 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.839 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
8.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.839 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.839 * [taylor]: Taking taylor expansion of (* b d) in c
8.839 * [taylor]: Taking taylor expansion of b in c
8.839 * [backup-simplify]: Simplify b into b
8.839 * [taylor]: Taking taylor expansion of d in c
8.839 * [backup-simplify]: Simplify d into d
8.839 * [backup-simplify]: Simplify (* b d) into (* b d)
8.839 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.839 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.839 * [taylor]: Taking taylor expansion of (* a c) in c
8.839 * [taylor]: Taking taylor expansion of a in c
8.839 * [backup-simplify]: Simplify a into a
8.839 * [taylor]: Taking taylor expansion of c in c
8.839 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify (* a 0) into 0
8.839 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.839 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.839 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.839 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
8.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.840 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.840 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.840 * [taylor]: Taking taylor expansion of c in c
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 1 into 1
8.840 * [backup-simplify]: Simplify (* 1 1) into 1
8.840 * [backup-simplify]: Simplify (/ 1 1) into 1
8.840 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.840 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.840 * [taylor]: Taking taylor expansion of d in c
8.840 * [backup-simplify]: Simplify d into d
8.840 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.840 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.840 * [backup-simplify]: Simplify (+ 1 0) into 1
8.841 * [backup-simplify]: Simplify (sqrt 1) into 1
8.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.842 * [backup-simplify]: Simplify (+ 0 0) into 0
8.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.842 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.842 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c
8.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.842 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.842 * [taylor]: Taking taylor expansion of (* b d) in c
8.842 * [taylor]: Taking taylor expansion of b in c
8.842 * [backup-simplify]: Simplify b into b
8.842 * [taylor]: Taking taylor expansion of d in c
8.842 * [backup-simplify]: Simplify d into d
8.842 * [backup-simplify]: Simplify (* b d) into (* b d)
8.842 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.843 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.843 * [taylor]: Taking taylor expansion of (* a c) in c
8.843 * [taylor]: Taking taylor expansion of a in c
8.843 * [backup-simplify]: Simplify a into a
8.843 * [taylor]: Taking taylor expansion of c in c
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify (* a 0) into 0
8.843 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.843 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.843 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
8.843 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a
8.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.843 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.843 * [taylor]: Taking taylor expansion of c in c
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [backup-simplify]: Simplify (* 1 1) into 1
8.844 * [backup-simplify]: Simplify (/ 1 1) into 1
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.844 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.844 * [taylor]: Taking taylor expansion of d in c
8.844 * [backup-simplify]: Simplify d into d
8.844 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.844 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.844 * [backup-simplify]: Simplify (+ 1 0) into 1
8.844 * [backup-simplify]: Simplify (sqrt 1) into 1
8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.845 * [backup-simplify]: Simplify (+ 0 0) into 0
8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.846 * [backup-simplify]: Simplify (* a 1) into a
8.846 * [taylor]: Taking taylor expansion of a in d
8.846 * [backup-simplify]: Simplify a into a
8.846 * [taylor]: Taking taylor expansion of a in a
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [taylor]: Taking taylor expansion of 1 in b
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
8.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
8.847 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.847 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
8.847 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d)))
8.847 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
8.847 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d
8.847 * [taylor]: Taking taylor expansion of (pow a 2) in d
8.847 * [taylor]: Taking taylor expansion of a in d
8.847 * [backup-simplify]: Simplify a into a
8.847 * [taylor]: Taking taylor expansion of (* b d) in d
8.847 * [taylor]: Taking taylor expansion of b in d
8.847 * [backup-simplify]: Simplify b into b
8.847 * [taylor]: Taking taylor expansion of d in d
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify 1 into 1
8.847 * [backup-simplify]: Simplify (* a a) into (pow a 2)
8.847 * [backup-simplify]: Simplify (* b 0) into 0
8.848 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.848 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
8.848 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
8.848 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
8.848 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
8.849 * [backup-simplify]: Simplify (- 0) into 0
8.849 * [taylor]: Taking taylor expansion of 0 in a
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [taylor]: Taking taylor expansion of 0 in b
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [taylor]: Taking taylor expansion of 0 in a
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [taylor]: Taking taylor expansion of 0 in b
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [taylor]: Taking taylor expansion of 0 in b
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
8.851 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.851 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
8.852 * [backup-simplify]: Simplify (+ 0 0) into 0
8.852 * [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)))
8.852 * [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))))
8.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
8.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
8.853 * [taylor]: Taking taylor expansion of 1/2 in d
8.853 * [backup-simplify]: Simplify 1/2 into 1/2
8.853 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d
8.853 * [taylor]: Taking taylor expansion of a in d
8.853 * [backup-simplify]: Simplify a into a
8.853 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.853 * [taylor]: Taking taylor expansion of d in d
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 1 into 1
8.853 * [backup-simplify]: Simplify (* 1 1) into 1
8.853 * [backup-simplify]: Simplify (/ a 1) into a
8.853 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
8.853 * [taylor]: Taking taylor expansion of (pow a 3) in d
8.853 * [taylor]: Taking taylor expansion of a in d
8.853 * [backup-simplify]: Simplify a into a
8.853 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
8.853 * [taylor]: Taking taylor expansion of (pow b 2) in d
8.853 * [taylor]: Taking taylor expansion of b in d
8.853 * [backup-simplify]: Simplify b into b
8.853 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.853 * [taylor]: Taking taylor expansion of d in d
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 1 into 1
8.853 * [backup-simplify]: Simplify (* a a) into (pow a 2)
8.853 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3)
8.853 * [backup-simplify]: Simplify (* b b) into (pow b 2)
8.854 * [backup-simplify]: Simplify (* 1 1) into 1
8.854 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2)
8.854 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
8.857 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0
8.857 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0
8.858 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0
8.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.859 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0
8.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.859 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0
8.860 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
8.860 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0
8.860 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
8.860 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
8.861 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
8.861 * [backup-simplify]: Simplify (+ 0 0) into 0
8.861 * [taylor]: Taking taylor expansion of 0 in a
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [taylor]: Taking taylor expansion of 0 in b
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2)
8.861 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
8.861 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
8.861 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.861 * [taylor]: Taking taylor expansion of (* a c) in d
8.861 * [taylor]: Taking taylor expansion of a in d
8.861 * [backup-simplify]: Simplify a into a
8.861 * [taylor]: Taking taylor expansion of c in d
8.861 * [backup-simplify]: Simplify c into c
8.861 * [taylor]: Taking taylor expansion of (* b d) in d
8.861 * [taylor]: Taking taylor expansion of b in d
8.861 * [backup-simplify]: Simplify b into b
8.861 * [taylor]: Taking taylor expansion of d in d
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify 1 into 1
8.861 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.861 * [taylor]: Taking taylor expansion of (* a c) in b
8.861 * [taylor]: Taking taylor expansion of a in b
8.861 * [backup-simplify]: Simplify a into a
8.861 * [taylor]: Taking taylor expansion of c in b
8.861 * [backup-simplify]: Simplify c into c
8.861 * [taylor]: Taking taylor expansion of (* b d) in b
8.861 * [taylor]: Taking taylor expansion of b in b
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify 1 into 1
8.862 * [taylor]: Taking taylor expansion of d in b
8.862 * [backup-simplify]: Simplify d into d
8.862 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.862 * [taylor]: Taking taylor expansion of (* a c) in c
8.862 * [taylor]: Taking taylor expansion of a in c
8.862 * [backup-simplify]: Simplify a into a
8.862 * [taylor]: Taking taylor expansion of c in c
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 1 into 1
8.862 * [taylor]: Taking taylor expansion of (* b d) in c
8.862 * [taylor]: Taking taylor expansion of b in c
8.862 * [backup-simplify]: Simplify b into b
8.862 * [taylor]: Taking taylor expansion of d in c
8.862 * [backup-simplify]: Simplify d into d
8.862 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.862 * [taylor]: Taking taylor expansion of (* a c) in a
8.862 * [taylor]: Taking taylor expansion of a in a
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 1 into 1
8.862 * [taylor]: Taking taylor expansion of c in a
8.862 * [backup-simplify]: Simplify c into c
8.862 * [taylor]: Taking taylor expansion of (* b d) in a
8.862 * [taylor]: Taking taylor expansion of b in a
8.862 * [backup-simplify]: Simplify b into b
8.862 * [taylor]: Taking taylor expansion of d in a
8.862 * [backup-simplify]: Simplify d into d
8.862 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.862 * [taylor]: Taking taylor expansion of (* a c) in a
8.862 * [taylor]: Taking taylor expansion of a in a
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 1 into 1
8.862 * [taylor]: Taking taylor expansion of c in a
8.862 * [backup-simplify]: Simplify c into c
8.862 * [taylor]: Taking taylor expansion of (* b d) in a
8.862 * [taylor]: Taking taylor expansion of b in a
8.862 * [backup-simplify]: Simplify b into b
8.862 * [taylor]: Taking taylor expansion of d in a
8.862 * [backup-simplify]: Simplify d into d
8.862 * [backup-simplify]: Simplify (* 0 c) into 0
8.862 * [backup-simplify]: Simplify (* b d) into (* b d)
8.862 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.862 * [taylor]: Taking taylor expansion of (* b d) in c
8.862 * [taylor]: Taking taylor expansion of b in c
8.862 * [backup-simplify]: Simplify b into b
8.862 * [taylor]: Taking taylor expansion of d in c
8.862 * [backup-simplify]: Simplify d into d
8.862 * [backup-simplify]: Simplify (* b d) into (* b d)
8.862 * [taylor]: Taking taylor expansion of (* b d) in b
8.862 * [taylor]: Taking taylor expansion of b in b
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 1 into 1
8.862 * [taylor]: Taking taylor expansion of d in b
8.862 * [backup-simplify]: Simplify d into d
8.862 * [backup-simplify]: Simplify (* 0 d) into 0
8.862 * [taylor]: Taking taylor expansion of 0 in d
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.863 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.863 * [backup-simplify]: Simplify (+ c 0) into c
8.863 * [taylor]: Taking taylor expansion of c in c
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 1 into 1
8.863 * [taylor]: Taking taylor expansion of 0 in b
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [taylor]: Taking taylor expansion of 0 in d
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.863 * [taylor]: Taking taylor expansion of 0 in b
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [taylor]: Taking taylor expansion of 0 in d
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.863 * [taylor]: Taking taylor expansion of d in d
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 1 into 1
8.863 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify 0 into 0
8.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.864 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.865 * [backup-simplify]: Simplify (+ 0 0) into 0
8.865 * [taylor]: Taking taylor expansion of 0 in c
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [taylor]: Taking taylor expansion of 0 in b
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [taylor]: Taking taylor expansion of 0 in d
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.865 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.865 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.865 * [taylor]: Taking taylor expansion of (* b d) in d
8.865 * [taylor]: Taking taylor expansion of b in d
8.865 * [backup-simplify]: Simplify b into b
8.865 * [taylor]: Taking taylor expansion of d in d
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify 1 into 1
8.865 * [backup-simplify]: Simplify (* b 0) into 0
8.865 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.865 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.865 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.865 * [taylor]: Taking taylor expansion of (* a c) in d
8.865 * [taylor]: Taking taylor expansion of a in d
8.866 * [backup-simplify]: Simplify a into a
8.866 * [taylor]: Taking taylor expansion of c in d
8.866 * [backup-simplify]: Simplify c into c
8.866 * [backup-simplify]: Simplify (* a c) into (* a c)
8.866 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.866 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.866 * [taylor]: Taking taylor expansion of (* b d) in b
8.866 * [taylor]: Taking taylor expansion of b in b
8.866 * [backup-simplify]: Simplify 0 into 0
8.866 * [backup-simplify]: Simplify 1 into 1
8.866 * [taylor]: Taking taylor expansion of d in b
8.866 * [backup-simplify]: Simplify d into d
8.866 * [backup-simplify]: Simplify (* 0 d) into 0
8.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.866 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.866 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.866 * [taylor]: Taking taylor expansion of (* a c) in b
8.866 * [taylor]: Taking taylor expansion of a in b
8.866 * [backup-simplify]: Simplify a into a
8.866 * [taylor]: Taking taylor expansion of c in b
8.866 * [backup-simplify]: Simplify c into c
8.866 * [backup-simplify]: Simplify (* a c) into (* a c)
8.866 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.866 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.866 * [taylor]: Taking taylor expansion of (* b d) in c
8.866 * [taylor]: Taking taylor expansion of b in c
8.866 * [backup-simplify]: Simplify b into b
8.866 * [taylor]: Taking taylor expansion of d in c
8.866 * [backup-simplify]: Simplify d into d
8.866 * [backup-simplify]: Simplify (* b d) into (* b d)
8.866 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.866 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.867 * [taylor]: Taking taylor expansion of (* a c) in c
8.867 * [taylor]: Taking taylor expansion of a in c
8.867 * [backup-simplify]: Simplify a into a
8.867 * [taylor]: Taking taylor expansion of c in c
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify 1 into 1
8.867 * [backup-simplify]: Simplify (* a 0) into 0
8.867 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.867 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.867 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.867 * [taylor]: Taking taylor expansion of (* b d) in a
8.867 * [taylor]: Taking taylor expansion of b in a
8.867 * [backup-simplify]: Simplify b into b
8.867 * [taylor]: Taking taylor expansion of d in a
8.867 * [backup-simplify]: Simplify d into d
8.867 * [backup-simplify]: Simplify (* b d) into (* b d)
8.867 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.867 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.867 * [taylor]: Taking taylor expansion of (* a c) in a
8.867 * [taylor]: Taking taylor expansion of a in a
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify 1 into 1
8.867 * [taylor]: Taking taylor expansion of c in a
8.867 * [backup-simplify]: Simplify c into c
8.867 * [backup-simplify]: Simplify (* 0 c) into 0
8.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.868 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.868 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.868 * [taylor]: Taking taylor expansion of (* b d) in a
8.868 * [taylor]: Taking taylor expansion of b in a
8.868 * [backup-simplify]: Simplify b into b
8.868 * [taylor]: Taking taylor expansion of d in a
8.868 * [backup-simplify]: Simplify d into d
8.868 * [backup-simplify]: Simplify (* b d) into (* b d)
8.868 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.868 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.868 * [taylor]: Taking taylor expansion of (* a c) in a
8.868 * [taylor]: Taking taylor expansion of a in a
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify 1 into 1
8.868 * [taylor]: Taking taylor expansion of c in a
8.868 * [backup-simplify]: Simplify c into c
8.868 * [backup-simplify]: Simplify (* 0 c) into 0
8.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.868 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.868 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.868 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.868 * [taylor]: Taking taylor expansion of c in c
8.868 * [backup-simplify]: Simplify 0 into 0
8.868 * [backup-simplify]: Simplify 1 into 1
8.869 * [backup-simplify]: Simplify (/ 1 1) into 1
8.869 * [taylor]: Taking taylor expansion of 1 in b
8.869 * [backup-simplify]: Simplify 1 into 1
8.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.869 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.869 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.869 * [taylor]: Taking taylor expansion of (* b d) in c
8.869 * [taylor]: Taking taylor expansion of b in c
8.869 * [backup-simplify]: Simplify b into b
8.869 * [taylor]: Taking taylor expansion of d in c
8.869 * [backup-simplify]: Simplify d into d
8.869 * [backup-simplify]: Simplify (* b d) into (* b d)
8.870 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.870 * [taylor]: Taking taylor expansion of 0 in b
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [taylor]: Taking taylor expansion of 1 in d
8.870 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.871 * [backup-simplify]: Simplify (+ 0 0) into 0
8.872 * [taylor]: Taking taylor expansion of 0 in c
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.872 * [taylor]: Taking taylor expansion of (* b d) in b
8.872 * [taylor]: Taking taylor expansion of b in b
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify 1 into 1
8.872 * [taylor]: Taking taylor expansion of d in b
8.872 * [backup-simplify]: Simplify d into d
8.872 * [backup-simplify]: Simplify (* 0 d) into 0
8.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.872 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.872 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.872 * [taylor]: Taking taylor expansion of d in d
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify 1 into 1
8.872 * [backup-simplify]: Simplify (/ 1 1) into 1
8.872 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.873 * [taylor]: Taking taylor expansion of 0 in b
8.873 * [backup-simplify]: Simplify 0 into 0
8.873 * [taylor]: Taking taylor expansion of 0 in d
8.873 * [backup-simplify]: Simplify 0 into 0
8.873 * [taylor]: Taking taylor expansion of 0 in d
8.873 * [backup-simplify]: Simplify 0 into 0
8.873 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.875 * [backup-simplify]: Simplify (+ 0 0) into 0
8.875 * [taylor]: Taking taylor expansion of 0 in c
8.875 * [backup-simplify]: Simplify 0 into 0
8.875 * [taylor]: Taking taylor expansion of 0 in b
8.875 * [backup-simplify]: Simplify 0 into 0
8.875 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.875 * [taylor]: Taking taylor expansion of 0 in b
8.875 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.876 * [taylor]: Taking taylor expansion of 0 in b
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.876 * [taylor]: Taking taylor expansion of 0 in d
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [taylor]: Taking taylor expansion of 0 in d
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [taylor]: Taking taylor expansion of 0 in d
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [taylor]: Taking taylor expansion of 0 in d
8.876 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.879 * [backup-simplify]: Simplify (+ 0 0) into 0
8.879 * [taylor]: Taking taylor expansion of 0 in c
8.879 * [backup-simplify]: Simplify 0 into 0
8.879 * [taylor]: Taking taylor expansion of 0 in b
8.879 * [backup-simplify]: Simplify 0 into 0
8.879 * [taylor]: Taking taylor expansion of 0 in b
8.879 * [backup-simplify]: Simplify 0 into 0
8.880 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.880 * [taylor]: Taking taylor expansion of 0 in b
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.880 * [taylor]: Taking taylor expansion of 0 in b
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [taylor]: Taking taylor expansion of 0 in d
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [taylor]: Taking taylor expansion of 0 in d
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [taylor]: Taking taylor expansion of 0 in d
8.880 * [backup-simplify]: Simplify 0 into 0
8.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.881 * [taylor]: Taking taylor expansion of 0 in d
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [taylor]: Taking taylor expansion of 0 in d
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [taylor]: Taking taylor expansion of 0 in d
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [taylor]: Taking taylor expansion of 0 in d
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [backup-simplify]: Simplify 0 into 0
8.881 * [backup-simplify]: Simplify 0 into 0
8.882 * [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))
8.882 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.882 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.882 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.882 * [taylor]: Taking taylor expansion of (* b d) in d
8.882 * [taylor]: Taking taylor expansion of b in d
8.882 * [backup-simplify]: Simplify b into b
8.882 * [taylor]: Taking taylor expansion of d in d
8.882 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify 1 into 1
8.882 * [backup-simplify]: Simplify (* b 0) into 0
8.883 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.883 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.883 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.883 * [taylor]: Taking taylor expansion of (* a c) in d
8.883 * [taylor]: Taking taylor expansion of a in d
8.883 * [backup-simplify]: Simplify a into a
8.883 * [taylor]: Taking taylor expansion of c in d
8.883 * [backup-simplify]: Simplify c into c
8.883 * [backup-simplify]: Simplify (* a c) into (* a c)
8.883 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.883 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.883 * [taylor]: Taking taylor expansion of (* b d) in b
8.883 * [taylor]: Taking taylor expansion of b in b
8.883 * [backup-simplify]: Simplify 0 into 0
8.883 * [backup-simplify]: Simplify 1 into 1
8.883 * [taylor]: Taking taylor expansion of d in b
8.883 * [backup-simplify]: Simplify d into d
8.883 * [backup-simplify]: Simplify (* 0 d) into 0
8.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.883 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.883 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.883 * [taylor]: Taking taylor expansion of (* a c) in b
8.883 * [taylor]: Taking taylor expansion of a in b
8.883 * [backup-simplify]: Simplify a into a
8.883 * [taylor]: Taking taylor expansion of c in b
8.883 * [backup-simplify]: Simplify c into c
8.883 * [backup-simplify]: Simplify (* a c) into (* a c)
8.883 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.883 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.883 * [taylor]: Taking taylor expansion of (* b d) in c
8.883 * [taylor]: Taking taylor expansion of b in c
8.884 * [backup-simplify]: Simplify b into b
8.884 * [taylor]: Taking taylor expansion of d in c
8.884 * [backup-simplify]: Simplify d into d
8.884 * [backup-simplify]: Simplify (* b d) into (* b d)
8.884 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.884 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.884 * [taylor]: Taking taylor expansion of (* a c) in c
8.884 * [taylor]: Taking taylor expansion of a in c
8.884 * [backup-simplify]: Simplify a into a
8.884 * [taylor]: Taking taylor expansion of c in c
8.884 * [backup-simplify]: Simplify 0 into 0
8.884 * [backup-simplify]: Simplify 1 into 1
8.884 * [backup-simplify]: Simplify (* a 0) into 0
8.884 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.884 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.884 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.884 * [taylor]: Taking taylor expansion of (* b d) in a
8.884 * [taylor]: Taking taylor expansion of b in a
8.884 * [backup-simplify]: Simplify b into b
8.884 * [taylor]: Taking taylor expansion of d in a
8.884 * [backup-simplify]: Simplify d into d
8.884 * [backup-simplify]: Simplify (* b d) into (* b d)
8.884 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.884 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.884 * [taylor]: Taking taylor expansion of (* a c) in a
8.884 * [taylor]: Taking taylor expansion of a in a
8.884 * [backup-simplify]: Simplify 0 into 0
8.884 * [backup-simplify]: Simplify 1 into 1
8.884 * [taylor]: Taking taylor expansion of c in a
8.884 * [backup-simplify]: Simplify c into c
8.884 * [backup-simplify]: Simplify (* 0 c) into 0
8.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.885 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.885 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.885 * [taylor]: Taking taylor expansion of (* b d) in a
8.885 * [taylor]: Taking taylor expansion of b in a
8.885 * [backup-simplify]: Simplify b into b
8.885 * [taylor]: Taking taylor expansion of d in a
8.885 * [backup-simplify]: Simplify d into d
8.885 * [backup-simplify]: Simplify (* b d) into (* b d)
8.885 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.885 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.885 * [taylor]: Taking taylor expansion of (* a c) in a
8.885 * [taylor]: Taking taylor expansion of a in a
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 1 into 1
8.885 * [taylor]: Taking taylor expansion of c in a
8.885 * [backup-simplify]: Simplify c into c
8.885 * [backup-simplify]: Simplify (* 0 c) into 0
8.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.885 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.885 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.885 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.885 * [taylor]: Taking taylor expansion of c in c
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 1 into 1
8.886 * [backup-simplify]: Simplify (/ 1 1) into 1
8.886 * [taylor]: Taking taylor expansion of 1 in b
8.886 * [backup-simplify]: Simplify 1 into 1
8.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.886 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.886 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.886 * [taylor]: Taking taylor expansion of (* b d) in c
8.886 * [taylor]: Taking taylor expansion of b in c
8.886 * [backup-simplify]: Simplify b into b
8.886 * [taylor]: Taking taylor expansion of d in c
8.886 * [backup-simplify]: Simplify d into d
8.887 * [backup-simplify]: Simplify (* b d) into (* b d)
8.887 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.887 * [taylor]: Taking taylor expansion of 0 in b
8.887 * [backup-simplify]: Simplify 0 into 0
8.887 * [taylor]: Taking taylor expansion of 1 in d
8.887 * [backup-simplify]: Simplify 1 into 1
8.887 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.888 * [backup-simplify]: Simplify (+ 0 0) into 0
8.888 * [taylor]: Taking taylor expansion of 0 in c
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.888 * [taylor]: Taking taylor expansion of (* b d) in b
8.888 * [taylor]: Taking taylor expansion of b in b
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 1 into 1
8.888 * [taylor]: Taking taylor expansion of d in b
8.888 * [backup-simplify]: Simplify d into d
8.888 * [backup-simplify]: Simplify (* 0 d) into 0
8.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.889 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.889 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.889 * [taylor]: Taking taylor expansion of d in d
8.889 * [backup-simplify]: Simplify 0 into 0
8.889 * [backup-simplify]: Simplify 1 into 1
8.889 * [backup-simplify]: Simplify (/ 1 1) into 1
8.889 * [backup-simplify]: Simplify 1 into 1
8.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.890 * [taylor]: Taking taylor expansion of 0 in b
8.890 * [backup-simplify]: Simplify 0 into 0
8.890 * [taylor]: Taking taylor expansion of 0 in d
8.890 * [backup-simplify]: Simplify 0 into 0
8.890 * [taylor]: Taking taylor expansion of 0 in d
8.890 * [backup-simplify]: Simplify 0 into 0
8.890 * [backup-simplify]: Simplify 1 into 1
8.890 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.895 * [backup-simplify]: Simplify (+ 0 0) into 0
8.895 * [taylor]: Taking taylor expansion of 0 in c
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [taylor]: Taking taylor expansion of 0 in b
8.895 * [backup-simplify]: Simplify 0 into 0
8.895 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.895 * [taylor]: Taking taylor expansion of 0 in b
8.895 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.896 * [taylor]: Taking taylor expansion of 0 in b
8.896 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.897 * [taylor]: Taking taylor expansion of 0 in d
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [taylor]: Taking taylor expansion of 0 in d
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [taylor]: Taking taylor expansion of 0 in d
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [taylor]: Taking taylor expansion of 0 in d
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify 0 into 0
8.897 * [backup-simplify]: Simplify 0 into 0
8.898 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.900 * [backup-simplify]: Simplify (+ 0 0) into 0
8.900 * [taylor]: Taking taylor expansion of 0 in c
8.900 * [backup-simplify]: Simplify 0 into 0
8.900 * [taylor]: Taking taylor expansion of 0 in b
8.900 * [backup-simplify]: Simplify 0 into 0
8.900 * [taylor]: Taking taylor expansion of 0 in b
8.900 * [backup-simplify]: Simplify 0 into 0
8.900 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.900 * [taylor]: Taking taylor expansion of 0 in b
8.900 * [backup-simplify]: Simplify 0 into 0
8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.901 * [taylor]: Taking taylor expansion of 0 in b
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [taylor]: Taking taylor expansion of 0 in d
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [taylor]: Taking taylor expansion of 0 in d
8.901 * [backup-simplify]: Simplify 0 into 0
8.901 * [taylor]: Taking taylor expansion of 0 in d
8.901 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.902 * [taylor]: Taking taylor expansion of 0 in d
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [taylor]: Taking taylor expansion of 0 in d
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [taylor]: Taking taylor expansion of 0 in d
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [taylor]: Taking taylor expansion of 0 in d
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [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))
8.902 * * * [progress]: simplifying candidates
8.902 * * * * [progress]: [ 1 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (pow (+ (* c c) (* d d)) 1/2)))>
8.903 * * * * [progress]: [ 2 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
8.903 * * * * [progress]: [ 3 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
8.903 * * * * [progress]: [ 4 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
8.903 * * * * [progress]: [ 5 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
8.903 * * * * [progress]: [ 6 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
8.903 * * * * [progress]: [ 7 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
8.903 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
8.903 * * [simplify]: iters left: 6 (8 enodes)
8.905 * * [simplify]: iters left: 5 (26 enodes)
8.908 * * [simplify]: Extracting #0: cost 1 inf + 0
8.908 * * [simplify]: Extracting #1: cost 4 inf + 0
8.908 * * [simplify]: Extracting #2: cost 7 inf + 0
8.908 * * [simplify]: Extracting #3: cost 10 inf + 0
8.908 * * [simplify]: Extracting #4: cost 14 inf + 0
8.909 * * [simplify]: Extracting #5: cost 10 inf + 84
8.909 * * [simplify]: Extracting #6: cost 8 inf + 166
8.909 * * [simplify]: Extracting #7: cost 4 inf + 854
8.909 * * [simplify]: Extracting #8: cost 1 inf + 1540
8.909 * * [simplify]: Extracting #9: cost 0 inf + 1782
8.910 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
8.910 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
8.910 * * * * [progress]: [ 8 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
8.910 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
8.910 * * [simplify]: iters left: 6 (7 enodes)
8.911 * * [simplify]: iters left: 5 (22 enodes)
8.915 * * [simplify]: Extracting #0: cost 1 inf + 0
8.915 * * [simplify]: Extracting #1: cost 3 inf + 0
8.915 * * [simplify]: Extracting #2: cost 5 inf + 0
8.915 * * [simplify]: Extracting #3: cost 8 inf + 0
8.915 * * [simplify]: Extracting #4: cost 12 inf + 0
8.915 * * [simplify]: Extracting #5: cost 10 inf + 2
8.915 * * [simplify]: Extracting #6: cost 1 inf + 936
8.915 * * [simplify]: Extracting #7: cost 0 inf + 1138
8.915 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
8.915 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
8.916 * * * * [progress]: [ 9 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
8.916 * [simplify]: Simplifying (sqrt 1)
8.916 * * [simplify]: iters left: 1 (2 enodes)
8.918 * * [simplify]: Extracting #0: cost 1 inf + 0
8.918 * * [simplify]: Extracting #1: cost 0 inf + 1
8.918 * [simplify]: Simplified to 1
8.918 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* 1 (sqrt (+ (* c c) (* d d))))))
8.918 * * * * [progress]: [ 10 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))>
8.919 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
8.919 * * [simplify]: iters left: 6 (9 enodes)
8.921 * * [simplify]: iters left: 5 (45 enodes)
8.933 * * [simplify]: iters left: 4 (100 enodes)
8.957 * * [simplify]: iters left: 3 (201 enodes)
9.024 * * [simplify]: iters left: 2 (406 enodes)
9.150 * * [simplify]: Extracting #0: cost 1 inf + 0
9.151 * * [simplify]: Extracting #1: cost 3 inf + 0
9.151 * * [simplify]: Extracting #2: cost 6 inf + 0
9.151 * * [simplify]: Extracting #3: cost 62 inf + 0
9.151 * * [simplify]: Extracting #4: cost 166 inf + 460
9.153 * * [simplify]: Extracting #5: cost 131 inf + 12951
9.156 * * [simplify]: Extracting #6: cost 49 inf + 45746
9.172 * * [simplify]: Extracting #7: cost 1 inf + 66256
9.183 * * [simplify]: Extracting #8: cost 0 inf + 65919
9.194 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
9.194 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
9.195 * * * * [progress]: [ 11 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
9.195 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
9.195 * * [simplify]: iters left: 6 (8 enodes)
9.199 * * [simplify]: iters left: 5 (37 enodes)
9.212 * * [simplify]: iters left: 4 (67 enodes)
9.233 * * [simplify]: iters left: 3 (123 enodes)
9.283 * * [simplify]: iters left: 2 (278 enodes)
9.451 * * [simplify]: Extracting #0: cost 1 inf + 0
9.452 * * [simplify]: Extracting #1: cost 3 inf + 0
9.452 * * [simplify]: Extracting #2: cost 50 inf + 0
9.452 * * [simplify]: Extracting #3: cost 150 inf + 0
9.453 * * [simplify]: Extracting #4: cost 194 inf + 1180
9.455 * * [simplify]: Extracting #5: cost 123 inf + 12421
9.461 * * [simplify]: Extracting #6: cost 12 inf + 33804
9.472 * * [simplify]: Extracting #7: cost 0 inf + 36129
9.488 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
9.488 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))
9.488 * * * * [progress]: [ 12 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (pow (+ (* c c) (* d d)) (/ 1 2))))>
9.488 * [simplify]: Simplifying (+ (* c c) (* d d))
9.488 * * [simplify]: iters left: 4 (5 enodes)
9.491 * * [simplify]: iters left: 3 (16 enodes)
9.495 * * [simplify]: Extracting #0: cost 1 inf + 0
9.495 * * [simplify]: Extracting #1: cost 4 inf + 0
9.495 * * [simplify]: Extracting #2: cost 8 inf + 0
9.495 * * [simplify]: Extracting #3: cost 4 inf + 84
9.495 * * [simplify]: Extracting #4: cost 0 inf + 410
9.496 * [simplify]: Simplified to (+ (* c c) (* d d))
9.496 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (pow (+ (* c c) (* d d)) (/ 1 2))))
9.496 * * * * [progress]: [ 13 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
9.496 * * * * [progress]: [ 14 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (fabs (sqrt (+ (* c c) (* d d))))))>
9.496 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
9.496 * * [simplify]: iters left: 5 (6 enodes)
9.499 * * [simplify]: iters left: 4 (19 enodes)
9.504 * * [simplify]: Extracting #0: cost 1 inf + 0
9.504 * * [simplify]: Extracting #1: cost 3 inf + 0
9.504 * * [simplify]: Extracting #2: cost 6 inf + 0
9.504 * * [simplify]: Extracting #3: cost 10 inf + 0
9.504 * * [simplify]: Extracting #4: cost 6 inf + 84
9.505 * * [simplify]: Extracting #5: cost 0 inf + 734
9.505 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
9.505 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (fabs (sqrt (+ (* c c) (* d d))))))
9.505 * * * * [progress]: [ 15 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* 1 (sqrt (+ (* c c) (* d d))))))>
9.505 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))))>
9.505 * * * * [progress]: [ 17 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (pow (+ (* c c) (* d d)) 1/2) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.505 * * * * [progress]: [ 18 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (pow (sqrt (+ (* c c) (* d d))) 1) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.505 * * * * [progress]: [ 19 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (exp (log (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.505 * * * * [progress]: [ 20 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (log (exp (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.505 * * * * [progress]: [ 21 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (* (cbrt (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)))))>
9.506 * * * * [progress]: [ 22 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.506 * * * * [progress]: [ 23 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.506 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
9.506 * * [simplify]: iters left: 6 (8 enodes)
9.510 * * [simplify]: iters left: 5 (26 enodes)
9.517 * * [simplify]: Extracting #0: cost 1 inf + 0
9.517 * * [simplify]: Extracting #1: cost 4 inf + 0
9.517 * * [simplify]: Extracting #2: cost 7 inf + 0
9.517 * * [simplify]: Extracting #3: cost 10 inf + 0
9.517 * * [simplify]: Extracting #4: cost 14 inf + 0
9.517 * * [simplify]: Extracting #5: cost 10 inf + 84
9.517 * * [simplify]: Extracting #6: cost 8 inf + 166
9.518 * * [simplify]: Extracting #7: cost 4 inf + 854
9.518 * * [simplify]: Extracting #8: cost 1 inf + 1540
9.519 * * [simplify]: Extracting #9: cost 0 inf + 1782
9.519 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
9.519 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
9.519 * * * * [progress]: [ 24 / 100 ] simplifiying candidate #<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)))))>
9.520 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
9.520 * * [simplify]: iters left: 6 (7 enodes)
9.523 * * [simplify]: iters left: 5 (22 enodes)
9.534 * * [simplify]: Extracting #0: cost 1 inf + 0
9.534 * * [simplify]: Extracting #1: cost 3 inf + 0
9.534 * * [simplify]: Extracting #2: cost 5 inf + 0
9.534 * * [simplify]: Extracting #3: cost 8 inf + 0
9.534 * * [simplify]: Extracting #4: cost 12 inf + 0
9.534 * * [simplify]: Extracting #5: cost 10 inf + 2
9.535 * * [simplify]: Extracting #6: cost 1 inf + 936
9.535 * * [simplify]: Extracting #7: cost 0 inf + 1138
9.536 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
9.536 * [simplify]: Simplified (2 1 2 1 1) to (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)))))
9.536 * * * * [progress]: [ 25 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (sqrt 1) (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.536 * [simplify]: Simplifying (sqrt 1)
9.536 * * [simplify]: iters left: 1 (2 enodes)
9.540 * * [simplify]: Extracting #0: cost 1 inf + 0
9.540 * * [simplify]: Extracting #1: cost 0 inf + 1
9.540 * [simplify]: Simplified to 1
9.540 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
9.540 * * * * [progress]: [ 26 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.541 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
9.541 * * [simplify]: iters left: 6 (9 enodes)
9.547 * * [simplify]: iters left: 5 (45 enodes)
9.562 * * [simplify]: iters left: 4 (100 enodes)
9.587 * * [simplify]: iters left: 3 (201 enodes)
9.636 * * [simplify]: iters left: 2 (406 enodes)
9.760 * * [simplify]: Extracting #0: cost 1 inf + 0
9.760 * * [simplify]: Extracting #1: cost 3 inf + 0
9.760 * * [simplify]: Extracting #2: cost 6 inf + 0
9.760 * * [simplify]: Extracting #3: cost 62 inf + 0
9.761 * * [simplify]: Extracting #4: cost 166 inf + 460
9.762 * * [simplify]: Extracting #5: cost 131 inf + 12951
9.766 * * [simplify]: Extracting #6: cost 49 inf + 45746
9.772 * * [simplify]: Extracting #7: cost 1 inf + 66256
9.777 * * [simplify]: Extracting #8: cost 0 inf + 65919
9.782 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
9.782 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
9.782 * * * * [progress]: [ 27 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
9.783 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
9.783 * * [simplify]: iters left: 6 (8 enodes)
9.789 * * [simplify]: iters left: 5 (37 enodes)
9.801 * * [simplify]: iters left: 4 (67 enodes)
9.825 * * [simplify]: iters left: 3 (123 enodes)
9.858 * * [simplify]: iters left: 2 (278 enodes)
9.989 * * [simplify]: Extracting #0: cost 1 inf + 0
9.989 * * [simplify]: Extracting #1: cost 3 inf + 0
9.989 * * [simplify]: Extracting #2: cost 50 inf + 0
9.990 * * [simplify]: Extracting #3: cost 150 inf + 0
9.992 * * [simplify]: Extracting #4: cost 194 inf + 1180
9.996 * * [simplify]: Extracting #5: cost 123 inf + 12421
10.007 * * [simplify]: Extracting #6: cost 12 inf + 33804
10.015 * * [simplify]: Extracting #7: cost 0 inf + 36129
10.022 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
10.023 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
10.023 * * * * [progress]: [ 28 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (pow (+ (* c c) (* d d)) (/ 1 2)) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
10.023 * [simplify]: Simplifying (+ (* c c) (* d d))
10.023 * * [simplify]: iters left: 4 (5 enodes)
10.024 * * [simplify]: iters left: 3 (16 enodes)
10.026 * * [simplify]: Extracting #0: cost 1 inf + 0
10.026 * * [simplify]: Extracting #1: cost 4 inf + 0
10.026 * * [simplify]: Extracting #2: cost 8 inf + 0
10.027 * * [simplify]: Extracting #3: cost 4 inf + 84
10.027 * * [simplify]: Extracting #4: cost 0 inf + 410
10.027 * [simplify]: Simplified to (+ (* c c) (* d d))
10.027 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (pow (+ (* c c) (* d d)) (/ 1 2)) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
10.027 * * * * [progress]: [ 29 / 100 ] simplifiying candidate #<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)))))>
10.027 * * * * [progress]: [ 30 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
10.027 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
10.027 * * [simplify]: iters left: 5 (6 enodes)
10.028 * * [simplify]: iters left: 4 (19 enodes)
10.031 * * [simplify]: Extracting #0: cost 1 inf + 0
10.031 * * [simplify]: Extracting #1: cost 3 inf + 0
10.031 * * [simplify]: Extracting #2: cost 6 inf + 0
10.031 * * [simplify]: Extracting #3: cost 10 inf + 0
10.031 * * [simplify]: Extracting #4: cost 6 inf + 84
10.032 * * [simplify]: Extracting #5: cost 0 inf + 734
10.032 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
10.032 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
10.032 * * * * [progress]: [ 31 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
10.032 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
10.032 * * * * [progress]: [ 33 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 1)) (sqrt (+ (* c c) (* d d)))))>
10.032 * * * * [progress]: [ 34 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.032 * [simplify]: Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d))))
10.032 * * [simplify]: iters left: 6 (14 enodes)
10.036 * * [simplify]: iters left: 5 (48 enodes)
10.050 * * [simplify]: iters left: 4 (51 enodes)
10.063 * * [simplify]: Extracting #0: cost 1 inf + 0
10.063 * * [simplify]: Extracting #1: cost 5 inf + 0
10.064 * * [simplify]: Extracting #2: cost 10 inf + 0
10.064 * * [simplify]: Extracting #3: cost 15 inf + 0
10.064 * * [simplify]: Extracting #4: cost 24 inf + 0
10.064 * * [simplify]: Extracting #5: cost 19 inf + 128
10.064 * * [simplify]: Extracting #6: cost 8 inf + 1224
10.065 * * [simplify]: Extracting #7: cost 1 inf + 2936
10.066 * * [simplify]: Extracting #8: cost 0 inf + 3400
10.067 * [simplify]: Simplified to (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* d b) (* a c))))
10.067 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.067 * * * * [progress]: [ 35 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (exp (log (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.067 * * * * [progress]: [ 36 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (log (exp (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.067 * * * * [progress]: [ 37 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (cbrt (/ (* (* (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)))))) (sqrt (+ (* c c) (* d d)))))>
10.067 * [simplify]: Simplifying (/ (* (* (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))))
10.067 * * [simplify]: iters left: 6 (16 enodes)
10.071 * * [simplify]: iters left: 5 (71 enodes)
10.090 * * [simplify]: iters left: 4 (220 enodes)
10.152 * * [simplify]: Extracting #0: cost 1 inf + 0
10.152 * * [simplify]: Extracting #1: cost 26 inf + 0
10.153 * * [simplify]: Extracting #2: cost 74 inf + 1
10.153 * * [simplify]: Extracting #3: cost 185 inf + 1
10.155 * * [simplify]: Extracting #4: cost 157 inf + 4709
10.168 * * [simplify]: Extracting #5: cost 24 inf + 33041
10.181 * * [simplify]: Extracting #6: cost 0 inf + 40140
10.191 * [simplify]: Simplified to (/ (* (sqrt (+ (* c c) (* d d))) (/ (+ (* c c) (* d d)) (+ (* d b) (* c a)))) (* (+ (* d b) (* c a)) (+ (* d b) (* c a))))
10.191 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (cbrt (/ (* (sqrt (+ (* c c) (* d d))) (/ (+ (* c c) (* d d)) (+ (* d b) (* c a)))) (* (+ (* d b) (* c a)) (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d)))))
10.191 * * * * [progress]: [ 38 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))>
10.192 * * * * [progress]: [ 39 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (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)))))>
10.192 * * * * [progress]: [ 40 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (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)))))>
10.192 * * * * [progress]: [ 41 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (- (sqrt (+ (* c c) (* d d)))) (- (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.192 * * * * [progress]: [ 42 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (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)))))) (sqrt (+ (* c c) (* d d)))))>
10.192 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.192 * * [simplify]: iters left: 6 (16 enodes)
10.196 * * [simplify]: iters left: 5 (58 enodes)
10.204 * * [simplify]: iters left: 4 (73 enodes)
10.216 * * [simplify]: iters left: 3 (80 enodes)
10.226 * * [simplify]: iters left: 2 (83 enodes)
10.239 * * [simplify]: Extracting #0: cost 1 inf + 0
10.240 * * [simplify]: Extracting #1: cost 11 inf + 0
10.240 * * [simplify]: Extracting #2: cost 22 inf + 0
10.240 * * [simplify]: Extracting #3: cost 27 inf + 0
10.240 * * [simplify]: Extracting #4: cost 36 inf + 0
10.240 * * [simplify]: Extracting #5: cost 30 inf + 170
10.240 * * [simplify]: Extracting #6: cost 20 inf + 1194
10.241 * * [simplify]: Extracting #7: cost 5 inf + 6764
10.243 * * [simplify]: Extracting #8: cost 0 inf + 9224
10.244 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a)))))
10.244 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.245 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
10.245 * * [simplify]: iters left: 6 (14 enodes)
10.248 * * [simplify]: iters left: 5 (46 enodes)
10.254 * * [simplify]: Extracting #0: cost 1 inf + 0
10.254 * * [simplify]: Extracting #1: cost 4 inf + 0
10.254 * * [simplify]: Extracting #2: cost 8 inf + 0
10.254 * * [simplify]: Extracting #3: cost 13 inf + 0
10.254 * * [simplify]: Extracting #4: cost 22 inf + 0
10.255 * * [simplify]: Extracting #5: cost 19 inf + 45
10.255 * * [simplify]: Extracting #6: cost 13 inf + 295
10.255 * * [simplify]: Extracting #7: cost 6 inf + 1274
10.256 * * [simplify]: Extracting #8: cost 1 inf + 2528
10.257 * * [simplify]: Extracting #9: cost 0 inf + 3012
10.258 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c))))
10.258 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (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 (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.258 * * * * [progress]: [ 43 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (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 (+ (* c c) (* d d)))))>
10.259 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
10.259 * * [simplify]: iters left: 6 (15 enodes)
10.266 * * [simplify]: iters left: 5 (51 enodes)
10.280 * * [simplify]: iters left: 4 (55 enodes)
10.295 * * [simplify]: iters left: 3 (58 enodes)
10.310 * * [simplify]: Extracting #0: cost 1 inf + 0
10.310 * * [simplify]: Extracting #1: cost 7 inf + 0
10.310 * * [simplify]: Extracting #2: cost 14 inf + 0
10.310 * * [simplify]: Extracting #3: cost 19 inf + 0
10.310 * * [simplify]: Extracting #4: cost 28 inf + 0
10.311 * * [simplify]: Extracting #5: cost 22 inf + 170
10.311 * * [simplify]: Extracting #6: cost 14 inf + 908
10.312 * * [simplify]: Extracting #7: cost 4 inf + 3578
10.313 * * [simplify]: Extracting #8: cost 0 inf + 5272
10.315 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a)))))
10.315 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.315 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.316 * * [simplify]: iters left: 6 (14 enodes)
10.321 * * [simplify]: iters left: 5 (46 enodes)
10.333 * * [simplify]: Extracting #0: cost 1 inf + 0
10.333 * * [simplify]: Extracting #1: cost 4 inf + 0
10.334 * * [simplify]: Extracting #2: cost 8 inf + 0
10.334 * * [simplify]: Extracting #3: cost 13 inf + 0
10.334 * * [simplify]: Extracting #4: cost 22 inf + 0
10.334 * * [simplify]: Extracting #5: cost 19 inf + 45
10.334 * * [simplify]: Extracting #6: cost 13 inf + 295
10.335 * * [simplify]: Extracting #7: cost 6 inf + 1194
10.335 * * [simplify]: Extracting #8: cost 1 inf + 2408
10.336 * * [simplify]: Extracting #9: cost 0 inf + 2852
10.337 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.337 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.337 * * * * [progress]: [ 44 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.338 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)
10.338 * * [simplify]: iters left: 6 (10 enodes)
10.343 * * [simplify]: iters left: 5 (33 enodes)
10.355 * * [simplify]: iters left: 4 (43 enodes)
10.369 * * [simplify]: iters left: 3 (44 enodes)
10.381 * * [simplify]: Extracting #0: cost 1 inf + 0
10.381 * * [simplify]: Extracting #1: cost 5 inf + 0
10.381 * * [simplify]: Extracting #2: cost 7 inf + 1
10.381 * * [simplify]: Extracting #3: cost 9 inf + 1
10.381 * * [simplify]: Extracting #4: cost 12 inf + 1
10.381 * * [simplify]: Extracting #5: cost 16 inf + 1
10.381 * * [simplify]: Extracting #6: cost 13 inf + 44
10.381 * * [simplify]: Extracting #7: cost 11 inf + 126
10.382 * * [simplify]: Extracting #8: cost 6 inf + 735
10.382 * * [simplify]: Extracting #9: cost 2 inf + 1785
10.383 * * [simplify]: Extracting #10: cost 0 inf + 2349
10.384 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
10.384 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (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)))))
10.384 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
10.385 * * [simplify]: iters left: 6 (13 enodes)
10.391 * * [simplify]: iters left: 5 (43 enodes)
10.402 * * [simplify]: Extracting #0: cost 1 inf + 0
10.402 * * [simplify]: Extracting #1: cost 4 inf + 0
10.402 * * [simplify]: Extracting #2: cost 9 inf + 0
10.402 * * [simplify]: Extracting #3: cost 17 inf + 0
10.402 * * [simplify]: Extracting #4: cost 16 inf + 4
10.403 * * [simplify]: Extracting #5: cost 13 inf + 294
10.403 * * [simplify]: Extracting #6: cost 5 inf + 990
10.404 * * [simplify]: Extracting #7: cost 2 inf + 1798
10.405 * * [simplify]: Extracting #8: cost 0 inf + 2444
10.406 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c)))
10.406 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d)))))
10.406 * * * * [progress]: [ 45 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (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 (+ (* c c) (* d d)))))>
10.406 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.406 * * [simplify]: iters left: 6 (16 enodes)
10.413 * * [simplify]: iters left: 5 (55 enodes)
10.427 * * [simplify]: iters left: 4 (57 enodes)
10.442 * * [simplify]: Extracting #0: cost 1 inf + 0
10.442 * * [simplify]: Extracting #1: cost 6 inf + 0
10.442 * * [simplify]: Extracting #2: cost 13 inf + 0
10.442 * * [simplify]: Extracting #3: cost 19 inf + 0
10.442 * * [simplify]: Extracting #4: cost 28 inf + 0
10.443 * * [simplify]: Extracting #5: cost 21 inf + 212
10.443 * * [simplify]: Extracting #6: cost 12 inf + 1234
10.444 * * [simplify]: Extracting #7: cost 0 inf + 5112
10.446 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a)))))
10.446 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.447 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
10.447 * * [simplify]: iters left: 6 (14 enodes)
10.453 * * [simplify]: iters left: 5 (46 enodes)
10.465 * * [simplify]: Extracting #0: cost 1 inf + 0
10.465 * * [simplify]: Extracting #1: cost 4 inf + 0
10.466 * * [simplify]: Extracting #2: cost 8 inf + 0
10.466 * * [simplify]: Extracting #3: cost 13 inf + 0
10.466 * * [simplify]: Extracting #4: cost 22 inf + 0
10.466 * * [simplify]: Extracting #5: cost 19 inf + 45
10.466 * * [simplify]: Extracting #6: cost 13 inf + 295
10.467 * * [simplify]: Extracting #7: cost 6 inf + 1314
10.467 * * [simplify]: Extracting #8: cost 1 inf + 2608
10.468 * * [simplify]: Extracting #9: cost 0 inf + 3092
10.469 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c))))
10.469 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (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 (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.469 * * * * [progress]: [ 46 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (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 (+ (* c c) (* d d)))))>
10.470 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d))))
10.470 * * [simplify]: iters left: 6 (15 enodes)
10.475 * * [simplify]: iters left: 5 (50 enodes)
10.482 * * [simplify]: Extracting #0: cost 1 inf + 0
10.482 * * [simplify]: Extracting #1: cost 4 inf + 0
10.482 * * [simplify]: Extracting #2: cost 9 inf + 0
10.482 * * [simplify]: Extracting #3: cost 15 inf + 0
10.482 * * [simplify]: Extracting #4: cost 24 inf + 0
10.482 * * [simplify]: Extracting #5: cost 18 inf + 170
10.483 * * [simplify]: Extracting #6: cost 10 inf + 948
10.483 * * [simplify]: Extracting #7: cost 3 inf + 2286
10.484 * * [simplify]: Extracting #8: cost 0 inf + 3416
10.484 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a))))
10.484 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.484 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.484 * * [simplify]: iters left: 6 (14 enodes)
10.488 * * [simplify]: iters left: 5 (46 enodes)
10.495 * * [simplify]: Extracting #0: cost 1 inf + 0
10.495 * * [simplify]: Extracting #1: cost 4 inf + 0
10.495 * * [simplify]: Extracting #2: cost 8 inf + 0
10.495 * * [simplify]: Extracting #3: cost 13 inf + 0
10.495 * * [simplify]: Extracting #4: cost 22 inf + 0
10.495 * * [simplify]: Extracting #5: cost 19 inf + 45
10.495 * * [simplify]: Extracting #6: cost 13 inf + 295
10.495 * * [simplify]: Extracting #7: cost 6 inf + 1234
10.498 * * [simplify]: Extracting #8: cost 1 inf + 2488
10.498 * * [simplify]: Extracting #9: cost 0 inf + 2932
10.499 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.499 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.499 * * * * [progress]: [ 47 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.500 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)
10.500 * * [simplify]: iters left: 6 (10 enodes)
10.503 * * [simplify]: iters left: 5 (32 enodes)
10.509 * * [simplify]: iters left: 4 (36 enodes)
10.519 * * [simplify]: Extracting #0: cost 1 inf + 0
10.519 * * [simplify]: Extracting #1: cost 5 inf + 0
10.519 * * [simplify]: Extracting #2: cost 7 inf + 1
10.519 * * [simplify]: Extracting #3: cost 10 inf + 1
10.519 * * [simplify]: Extracting #4: cost 14 inf + 1
10.519 * * [simplify]: Extracting #5: cost 11 inf + 44
10.519 * * [simplify]: Extracting #6: cost 8 inf + 167
10.520 * * [simplify]: Extracting #7: cost 5 inf + 733
10.520 * * [simplify]: Extracting #8: cost 0 inf + 1783
10.521 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
10.521 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
10.521 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
10.521 * * [simplify]: iters left: 6 (13 enodes)
10.527 * * [simplify]: iters left: 5 (43 enodes)
10.536 * * [simplify]: Extracting #0: cost 1 inf + 0
10.536 * * [simplify]: Extracting #1: cost 4 inf + 0
10.536 * * [simplify]: Extracting #2: cost 9 inf + 0
10.536 * * [simplify]: Extracting #3: cost 17 inf + 0
10.536 * * [simplify]: Extracting #4: cost 16 inf + 4
10.536 * * [simplify]: Extracting #5: cost 13 inf + 294
10.537 * * [simplify]: Extracting #6: cost 5 inf + 1030
10.537 * * [simplify]: Extracting #7: cost 2 inf + 1878
10.537 * * [simplify]: Extracting #8: cost 0 inf + 2524
10.538 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* d b) (* a c)))
10.538 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d)))))
10.538 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (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 (+ (* c c) (* d d)))))>
10.538 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.538 * * [simplify]: iters left: 6 (15 enodes)
10.541 * * [simplify]: iters left: 5 (51 enodes)
10.548 * * [simplify]: iters left: 4 (53 enodes)
10.555 * * [simplify]: Extracting #0: cost 1 inf + 0
10.556 * * [simplify]: Extracting #1: cost 6 inf + 0
10.556 * * [simplify]: Extracting #2: cost 12 inf + 0
10.556 * * [simplify]: Extracting #3: cost 17 inf + 0
10.556 * * [simplify]: Extracting #4: cost 26 inf + 0
10.556 * * [simplify]: Extracting #5: cost 21 inf + 128
10.556 * * [simplify]: Extracting #6: cost 11 inf + 1192
10.557 * * [simplify]: Extracting #7: cost 0 inf + 4308
10.557 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c)))))
10.557 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.557 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
10.558 * * [simplify]: iters left: 6 (14 enodes)
10.560 * * [simplify]: iters left: 5 (46 enodes)
10.571 * * [simplify]: Extracting #0: cost 1 inf + 0
10.571 * * [simplify]: Extracting #1: cost 4 inf + 0
10.571 * * [simplify]: Extracting #2: cost 8 inf + 0
10.571 * * [simplify]: Extracting #3: cost 13 inf + 0
10.571 * * [simplify]: Extracting #4: cost 22 inf + 0
10.571 * * [simplify]: Extracting #5: cost 19 inf + 45
10.572 * * [simplify]: Extracting #6: cost 13 inf + 295
10.572 * * [simplify]: Extracting #7: cost 6 inf + 1274
10.573 * * [simplify]: Extracting #8: cost 1 inf + 2408
10.574 * * [simplify]: Extracting #9: cost 0 inf + 2852
10.574 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c))))
10.575 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.575 * * * * [progress]: [ 49 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.575 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.575 * * [simplify]: iters left: 6 (14 enodes)
10.581 * * [simplify]: iters left: 5 (46 enodes)
10.593 * * [simplify]: Extracting #0: cost 1 inf + 0
10.593 * * [simplify]: Extracting #1: cost 4 inf + 0
10.593 * * [simplify]: Extracting #2: cost 8 inf + 0
10.593 * * [simplify]: Extracting #3: cost 13 inf + 0
10.593 * * [simplify]: Extracting #4: cost 22 inf + 0
10.594 * * [simplify]: Extracting #5: cost 19 inf + 45
10.594 * * [simplify]: Extracting #6: cost 13 inf + 295
10.594 * * [simplify]: Extracting #7: cost 6 inf + 1194
10.595 * * [simplify]: Extracting #8: cost 1 inf + 2288
10.596 * * [simplify]: Extracting #9: cost 0 inf + 2692
10.597 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.597 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.597 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.597 * * [simplify]: iters left: 6 (14 enodes)
10.603 * * [simplify]: iters left: 5 (46 enodes)
10.618 * * [simplify]: Extracting #0: cost 1 inf + 0
10.619 * * [simplify]: Extracting #1: cost 4 inf + 0
10.619 * * [simplify]: Extracting #2: cost 8 inf + 0
10.619 * * [simplify]: Extracting #3: cost 13 inf + 0
10.619 * * [simplify]: Extracting #4: cost 22 inf + 0
10.619 * * [simplify]: Extracting #5: cost 19 inf + 45
10.619 * * [simplify]: Extracting #6: cost 13 inf + 295
10.620 * * [simplify]: Extracting #7: cost 6 inf + 1194
10.620 * * [simplify]: Extracting #8: cost 1 inf + 2288
10.621 * * [simplify]: Extracting #9: cost 0 inf + 2692
10.622 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.622 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.623 * * * * [progress]: [ 50 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.623 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
10.623 * * [simplify]: iters left: 6 (9 enodes)
10.628 * * [simplify]: iters left: 5 (28 enodes)
10.636 * * [simplify]: iters left: 4 (30 enodes)
10.645 * * [simplify]: Extracting #0: cost 1 inf + 0
10.645 * * [simplify]: Extracting #1: cost 4 inf + 0
10.645 * * [simplify]: Extracting #2: cost 5 inf + 1
10.645 * * [simplify]: Extracting #3: cost 8 inf + 1
10.645 * * [simplify]: Extracting #4: cost 12 inf + 1
10.645 * * [simplify]: Extracting #5: cost 8 inf + 85
10.646 * * [simplify]: Extracting #6: cost 6 inf + 167
10.646 * * [simplify]: Extracting #7: cost 4 inf + 451
10.646 * * [simplify]: Extracting #8: cost 1 inf + 937
10.647 * * [simplify]: Extracting #9: cost 0 inf + 1139
10.647 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
10.647 * [simplify]: Simplified (2 1 2 1) to (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)))))
10.648 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
10.648 * * [simplify]: iters left: 6 (13 enodes)
10.653 * * [simplify]: iters left: 5 (43 enodes)
10.665 * * [simplify]: Extracting #0: cost 1 inf + 0
10.665 * * [simplify]: Extracting #1: cost 4 inf + 0
10.665 * * [simplify]: Extracting #2: cost 9 inf + 0
10.665 * * [simplify]: Extracting #3: cost 17 inf + 0
10.665 * * [simplify]: Extracting #4: cost 16 inf + 4
10.666 * * [simplify]: Extracting #5: cost 13 inf + 294
10.666 * * [simplify]: Extracting #6: cost 5 inf + 990
10.667 * * [simplify]: Extracting #7: cost 2 inf + 1718
10.667 * * [simplify]: Extracting #8: cost 0 inf + 2284
10.669 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c)))
10.669 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d)))))
10.669 * * * * [progress]: [ 51 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (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)))))>
10.669 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.670 * * [simplify]: iters left: 6 (12 enodes)
10.676 * * [simplify]: iters left: 5 (43 enodes)
10.685 * * [simplify]: iters left: 4 (50 enodes)
10.693 * * [simplify]: iters left: 3 (52 enodes)
10.700 * * [simplify]: Extracting #0: cost 1 inf + 0
10.700 * * [simplify]: Extracting #1: cost 7 inf + 0
10.700 * * [simplify]: Extracting #2: cost 11 inf + 1
10.700 * * [simplify]: Extracting #3: cost 14 inf + 1
10.700 * * [simplify]: Extracting #4: cost 20 inf + 1
10.700 * * [simplify]: Extracting #5: cost 14 inf + 89
10.700 * * [simplify]: Extracting #6: cost 12 inf + 173
10.700 * * [simplify]: Extracting #7: cost 6 inf + 1319
10.701 * * [simplify]: Extracting #8: cost 2 inf + 2338
10.701 * * [simplify]: Extracting #9: cost 0 inf + 2867
10.701 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* b d) (* a c)))) (cbrt (+ (* b d) (* a c))))
10.701 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (/ 1 (cbrt (+ (* b d) (* a c)))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.702 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
10.702 * * [simplify]: iters left: 6 (13 enodes)
10.705 * * [simplify]: iters left: 5 (43 enodes)
10.711 * * [simplify]: Extracting #0: cost 1 inf + 0
10.711 * * [simplify]: Extracting #1: cost 4 inf + 0
10.711 * * [simplify]: Extracting #2: cost 8 inf + 0
10.711 * * [simplify]: Extracting #3: cost 14 inf + 0
10.711 * * [simplify]: Extracting #4: cost 22 inf + 0
10.711 * * [simplify]: Extracting #5: cost 16 inf + 87
10.712 * * [simplify]: Extracting #6: cost 12 inf + 253
10.712 * * [simplify]: Extracting #7: cost 5 inf + 1070
10.713 * * [simplify]: Extracting #8: cost 1 inf + 1964
10.714 * * [simplify]: Extracting #9: cost 0 inf + 2368
10.714 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a))))
10.714 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d)))))
10.715 * * * * [progress]: [ 52 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.715 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* a c) (* b d))))
10.715 * * [simplify]: iters left: 6 (11 enodes)
10.722 * * [simplify]: iters left: 5 (38 enodes)
10.733 * * [simplify]: iters left: 4 (40 enodes)
10.747 * * [simplify]: Extracting #0: cost 1 inf + 0
10.747 * * [simplify]: Extracting #1: cost 4 inf + 0
10.747 * * [simplify]: Extracting #2: cost 5 inf + 1
10.747 * * [simplify]: Extracting #3: cost 8 inf + 1
10.747 * * [simplify]: Extracting #4: cost 14 inf + 1
10.747 * * [simplify]: Extracting #5: cost 9 inf + 47
10.747 * * [simplify]: Extracting #6: cost 4 inf + 543
10.748 * * [simplify]: Extracting #7: cost 0 inf + 1159
10.748 * [simplify]: Simplified to (/ 1 (sqrt (+ (* b d) (* a c))))
10.748 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.749 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
10.749 * * [simplify]: iters left: 6 (13 enodes)
10.752 * * [simplify]: iters left: 5 (43 enodes)
10.758 * * [simplify]: Extracting #0: cost 1 inf + 0
10.758 * * [simplify]: Extracting #1: cost 4 inf + 0
10.758 * * [simplify]: Extracting #2: cost 8 inf + 0
10.758 * * [simplify]: Extracting #3: cost 14 inf + 0
10.758 * * [simplify]: Extracting #4: cost 22 inf + 0
10.758 * * [simplify]: Extracting #5: cost 16 inf + 87
10.758 * * [simplify]: Extracting #6: cost 12 inf + 253
10.758 * * [simplify]: Extracting #7: cost 5 inf + 1030
10.759 * * [simplify]: Extracting #8: cost 1 inf + 1844
10.759 * * [simplify]: Extracting #9: cost 0 inf + 2208
10.759 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a))))
10.759 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d)))))
10.760 * * * * [progress]: [ 53 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.760 * [simplify]: Simplifying (/ (sqrt 1) 1)
10.760 * * [simplify]: iters left: 3 (3 enodes)
10.762 * * [simplify]: iters left: 2 (9 enodes)
10.763 * * [simplify]: iters left: 1 (11 enodes)
10.765 * * [simplify]: Extracting #0: cost 1 inf + 0
10.765 * * [simplify]: Extracting #1: cost 0 inf + 1
10.765 * [simplify]: Simplified to 1
10.765 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
10.765 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
10.765 * * [simplify]: iters left: 6 (12 enodes)
10.768 * * [simplify]: iters left: 5 (40 enodes)
10.773 * * [simplify]: Extracting #0: cost 1 inf + 0
10.773 * * [simplify]: Extracting #1: cost 4 inf + 0
10.773 * * [simplify]: Extracting #2: cost 9 inf + 0
10.773 * * [simplify]: Extracting #3: cost 18 inf + 0
10.773 * * [simplify]: Extracting #4: cost 10 inf + 254
10.773 * * [simplify]: Extracting #5: cost 1 inf + 1638
10.774 * * [simplify]: Extracting #6: cost 0 inf + 1800
10.774 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a)))
10.774 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))))) (sqrt (+ (* c c) (* d d)))))
10.774 * * * * [progress]: [ 54 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (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 (+ (* c c) (* d d)))))>
10.774 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.774 * * [simplify]: iters left: 6 (15 enodes)
10.778 * * [simplify]: iters left: 5 (51 enodes)
10.791 * * [simplify]: iters left: 4 (53 enodes)
10.800 * * [simplify]: Extracting #0: cost 1 inf + 0
10.800 * * [simplify]: Extracting #1: cost 6 inf + 0
10.800 * * [simplify]: Extracting #2: cost 12 inf + 0
10.800 * * [simplify]: Extracting #3: cost 17 inf + 0
10.800 * * [simplify]: Extracting #4: cost 26 inf + 0
10.800 * * [simplify]: Extracting #5: cost 21 inf + 128
10.800 * * [simplify]: Extracting #6: cost 11 inf + 1192
10.801 * * [simplify]: Extracting #7: cost 0 inf + 4308
10.801 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c)))))
10.801 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.802 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
10.802 * * [simplify]: iters left: 6 (14 enodes)
10.805 * * [simplify]: iters left: 5 (46 enodes)
10.811 * * [simplify]: Extracting #0: cost 1 inf + 0
10.811 * * [simplify]: Extracting #1: cost 4 inf + 0
10.811 * * [simplify]: Extracting #2: cost 8 inf + 0
10.811 * * [simplify]: Extracting #3: cost 13 inf + 0
10.811 * * [simplify]: Extracting #4: cost 22 inf + 0
10.811 * * [simplify]: Extracting #5: cost 19 inf + 45
10.811 * * [simplify]: Extracting #6: cost 13 inf + 295
10.812 * * [simplify]: Extracting #7: cost 6 inf + 1274
10.812 * * [simplify]: Extracting #8: cost 1 inf + 2408
10.812 * * [simplify]: Extracting #9: cost 0 inf + 2852
10.813 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c))))
10.813 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.813 * * * * [progress]: [ 55 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.813 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.813 * * [simplify]: iters left: 6 (14 enodes)
10.816 * * [simplify]: iters left: 5 (46 enodes)
10.823 * * [simplify]: Extracting #0: cost 1 inf + 0
10.823 * * [simplify]: Extracting #1: cost 4 inf + 0
10.823 * * [simplify]: Extracting #2: cost 8 inf + 0
10.823 * * [simplify]: Extracting #3: cost 13 inf + 0
10.823 * * [simplify]: Extracting #4: cost 22 inf + 0
10.823 * * [simplify]: Extracting #5: cost 19 inf + 45
10.823 * * [simplify]: Extracting #6: cost 13 inf + 295
10.823 * * [simplify]: Extracting #7: cost 6 inf + 1194
10.824 * * [simplify]: Extracting #8: cost 1 inf + 2288
10.824 * * [simplify]: Extracting #9: cost 0 inf + 2692
10.825 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.825 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.825 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
10.825 * * [simplify]: iters left: 6 (14 enodes)
10.831 * * [simplify]: iters left: 5 (46 enodes)
10.840 * * [simplify]: Extracting #0: cost 1 inf + 0
10.840 * * [simplify]: Extracting #1: cost 4 inf + 0
10.841 * * [simplify]: Extracting #2: cost 8 inf + 0
10.841 * * [simplify]: Extracting #3: cost 13 inf + 0
10.841 * * [simplify]: Extracting #4: cost 22 inf + 0
10.841 * * [simplify]: Extracting #5: cost 19 inf + 45
10.841 * * [simplify]: Extracting #6: cost 13 inf + 295
10.841 * * [simplify]: Extracting #7: cost 6 inf + 1194
10.841 * * [simplify]: Extracting #8: cost 1 inf + 2288
10.842 * * [simplify]: Extracting #9: cost 0 inf + 2692
10.842 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c))))
10.842 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.842 * * * * [progress]: [ 56 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.843 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
10.843 * * [simplify]: iters left: 6 (9 enodes)
10.845 * * [simplify]: iters left: 5 (28 enodes)
10.849 * * [simplify]: iters left: 4 (30 enodes)
10.854 * * [simplify]: Extracting #0: cost 1 inf + 0
10.854 * * [simplify]: Extracting #1: cost 4 inf + 0
10.854 * * [simplify]: Extracting #2: cost 5 inf + 1
10.854 * * [simplify]: Extracting #3: cost 8 inf + 1
10.854 * * [simplify]: Extracting #4: cost 12 inf + 1
10.854 * * [simplify]: Extracting #5: cost 8 inf + 85
10.854 * * [simplify]: Extracting #6: cost 6 inf + 167
10.854 * * [simplify]: Extracting #7: cost 4 inf + 451
10.854 * * [simplify]: Extracting #8: cost 1 inf + 937
10.855 * * [simplify]: Extracting #9: cost 0 inf + 1139
10.855 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
10.855 * [simplify]: Simplified (2 1 2 1) to (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)))))
10.855 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
10.855 * * [simplify]: iters left: 6 (13 enodes)
10.858 * * [simplify]: iters left: 5 (43 enodes)
10.865 * * [simplify]: Extracting #0: cost 1 inf + 0
10.865 * * [simplify]: Extracting #1: cost 4 inf + 0
10.865 * * [simplify]: Extracting #2: cost 9 inf + 0
10.865 * * [simplify]: Extracting #3: cost 17 inf + 0
10.865 * * [simplify]: Extracting #4: cost 16 inf + 4
10.865 * * [simplify]: Extracting #5: cost 13 inf + 294
10.865 * * [simplify]: Extracting #6: cost 5 inf + 990
10.866 * * [simplify]: Extracting #7: cost 2 inf + 1718
10.867 * * [simplify]: Extracting #8: cost 0 inf + 2284
10.868 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c)))
10.868 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d)))))
10.868 * * * * [progress]: [ 57 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 (* (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)))))>
10.868 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
10.868 * * [simplify]: iters left: 6 (11 enodes)
10.873 * * [simplify]: iters left: 5 (40 enodes)
10.884 * * [simplify]: iters left: 4 (44 enodes)
10.896 * * [simplify]: Extracting #0: cost 1 inf + 0
10.896 * * [simplify]: Extracting #1: cost 6 inf + 0
10.896 * * [simplify]: Extracting #2: cost 9 inf + 1
10.896 * * [simplify]: Extracting #3: cost 12 inf + 1
10.896 * * [simplify]: Extracting #4: cost 18 inf + 1
10.897 * * [simplify]: Extracting #5: cost 13 inf + 47
10.897 * * [simplify]: Extracting #6: cost 9 inf + 297
10.897 * * [simplify]: Extracting #7: cost 4 inf + 1318
10.898 * * [simplify]: Extracting #8: cost 1 inf + 2092
10.899 * * [simplify]: Extracting #9: cost 0 inf + 2377
10.899 * [simplify]: Simplified to (/ 1 (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))))
10.899 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.900 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))
10.900 * * [simplify]: iters left: 6 (13 enodes)
10.905 * * [simplify]: iters left: 5 (43 enodes)
10.916 * * [simplify]: Extracting #0: cost 1 inf + 0
10.916 * * [simplify]: Extracting #1: cost 4 inf + 0
10.916 * * [simplify]: Extracting #2: cost 8 inf + 0
10.916 * * [simplify]: Extracting #3: cost 14 inf + 0
10.917 * * [simplify]: Extracting #4: cost 22 inf + 0
10.917 * * [simplify]: Extracting #5: cost 16 inf + 87
10.917 * * [simplify]: Extracting #6: cost 12 inf + 253
10.917 * * [simplify]: Extracting #7: cost 5 inf + 1070
10.918 * * [simplify]: Extracting #8: cost 1 inf + 1964
10.919 * * [simplify]: Extracting #9: cost 0 inf + 2368
10.919 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a))))
10.920 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d)))))
10.920 * * * * [progress]: [ 58 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
10.920 * [simplify]: Simplifying (/ 1 (sqrt (+ (* a c) (* b d))))
10.920 * * [simplify]: iters left: 6 (10 enodes)
10.925 * * [simplify]: iters left: 5 (35 enodes)
10.935 * * [simplify]: iters left: 4 (37 enodes)
10.945 * * [simplify]: Extracting #0: cost 1 inf + 0
10.945 * * [simplify]: Extracting #1: cost 4 inf + 0
10.945 * * [simplify]: Extracting #2: cost 5 inf + 1
10.946 * * [simplify]: Extracting #3: cost 8 inf + 1
10.946 * * [simplify]: Extracting #4: cost 14 inf + 1
10.946 * * [simplify]: Extracting #5: cost 9 inf + 47
10.946 * * [simplify]: Extracting #6: cost 4 inf + 421
10.946 * * [simplify]: Extracting #7: cost 0 inf + 1159
10.947 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c a) (* b d))))
10.947 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* c a) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
10.947 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))
10.947 * * [simplify]: iters left: 6 (13 enodes)
10.952 * * [simplify]: iters left: 5 (43 enodes)
10.964 * * [simplify]: Extracting #0: cost 1 inf + 0
10.965 * * [simplify]: Extracting #1: cost 4 inf + 0
10.965 * * [simplify]: Extracting #2: cost 8 inf + 0
10.965 * * [simplify]: Extracting #3: cost 14 inf + 0
10.965 * * [simplify]: Extracting #4: cost 22 inf + 0
10.965 * * [simplify]: Extracting #5: cost 16 inf + 87
10.965 * * [simplify]: Extracting #6: cost 12 inf + 253
10.965 * * [simplify]: Extracting #7: cost 5 inf + 1030
10.966 * * [simplify]: Extracting #8: cost 1 inf + 1844
10.967 * * [simplify]: Extracting #9: cost 0 inf + 2208
10.967 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a))))
10.968 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d)))))
10.968 * * * * [progress]: [ 59 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.969 * [simplify]: Simplifying (/ 1 1)
10.969 * * [simplify]: iters left: 2 (2 enodes)
10.971 * * [simplify]: iters left: 1 (6 enodes)
10.974 * * [simplify]: Extracting #0: cost 1 inf + 0
10.974 * * [simplify]: Extracting #1: cost 0 inf + 1
10.974 * [simplify]: Simplified to 1
10.974 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
10.974 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
10.974 * * [simplify]: iters left: 6 (12 enodes)
10.980 * * [simplify]: iters left: 5 (40 enodes)
10.990 * * [simplify]: Extracting #0: cost 1 inf + 0
10.990 * * [simplify]: Extracting #1: cost 4 inf + 0
10.990 * * [simplify]: Extracting #2: cost 9 inf + 0
10.990 * * [simplify]: Extracting #3: cost 18 inf + 0
10.990 * * [simplify]: Extracting #4: cost 10 inf + 254
10.991 * * [simplify]: Extracting #5: cost 1 inf + 1638
10.992 * * [simplify]: Extracting #6: cost 0 inf + 1800
10.992 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a)))
10.992 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))))) (sqrt (+ (* c c) (* d d)))))
10.992 * * * * [progress]: [ 60 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.993 * * * * [progress]: [ 61 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (+ (* c c) (* d d))) (/ 1 (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
10.993 * * * * [progress]: [ 62 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
10.993 * * * * [progress]: [ 63 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (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)))))>
10.993 * [simplify]: Simplifying (cbrt (+ (* a c) (* b d)))
10.993 * * [simplify]: iters left: 5 (8 enodes)
10.996 * * [simplify]: iters left: 4 (27 enodes)
11.003 * * [simplify]: Extracting #0: cost 1 inf + 0
11.003 * * [simplify]: Extracting #1: cost 3 inf + 0
11.003 * * [simplify]: Extracting #2: cost 6 inf + 0
11.003 * * [simplify]: Extracting #3: cost 12 inf + 0
11.003 * * [simplify]: Extracting #4: cost 8 inf + 4
11.004 * * [simplify]: Extracting #5: cost 1 inf + 624
11.004 * * [simplify]: Extracting #6: cost 0 inf + 828
11.004 * [simplify]: Simplified to (cbrt (+ (* b d) (* a c)))
11.004 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
11.005 * * * * [progress]: [ 64 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
11.005 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
11.005 * * [simplify]: iters left: 5 (8 enodes)
11.008 * * [simplify]: iters left: 4 (27 enodes)
11.015 * * [simplify]: Extracting #0: cost 1 inf + 0
11.015 * * [simplify]: Extracting #1: cost 3 inf + 0
11.015 * * [simplify]: Extracting #2: cost 6 inf + 0
11.015 * * [simplify]: Extracting #3: cost 12 inf + 0
11.015 * * [simplify]: Extracting #4: cost 8 inf + 4
11.016 * * [simplify]: Extracting #5: cost 1 inf + 584
11.016 * * [simplify]: Extracting #6: cost 0 inf + 748
11.016 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
11.017 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
11.017 * * * * [progress]: [ 65 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
11.017 * [simplify]: Simplifying (+ (* a c) (* b d))
11.017 * * [simplify]: iters left: 4 (7 enodes)
11.019 * * [simplify]: iters left: 3 (24 enodes)
11.022 * * [simplify]: Extracting #0: cost 1 inf + 0
11.022 * * [simplify]: Extracting #1: cost 4 inf + 0
11.022 * * [simplify]: Extracting #2: cost 10 inf + 0
11.022 * * [simplify]: Extracting #3: cost 6 inf + 4
11.022 * * [simplify]: Extracting #4: cost 1 inf + 296
11.022 * * [simplify]: Extracting #5: cost 0 inf + 420
11.023 * [simplify]: Simplified to (+ (* b d) (* a c))
11.023 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
11.023 * * * * [progress]: [ 66 / 100 ] simplifiying candidate #<alt (λ (a b c 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)))))>
11.023 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
11.023 * * [simplify]: iters left: 6 (8 enodes)
11.025 * * [simplify]: iters left: 5 (25 enodes)
11.028 * * [simplify]: Extracting #0: cost 1 inf + 0
11.028 * * [simplify]: Extracting #1: cost 3 inf + 0
11.028 * * [simplify]: Extracting #2: cost 5 inf + 0
11.028 * * [simplify]: Extracting #3: cost 7 inf + 0
11.028 * * [simplify]: Extracting #4: cost 10 inf + 0
11.028 * * [simplify]: Extracting #5: cost 14 inf + 0
11.029 * * [simplify]: Extracting #6: cost 11 inf + 43
11.029 * * [simplify]: Extracting #7: cost 9 inf + 125
11.029 * * [simplify]: Extracting #8: cost 5 inf + 572
11.029 * * [simplify]: Extracting #9: cost 1 inf + 1500
11.029 * * [simplify]: Extracting #10: cost 0 inf + 1782
11.029 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
11.029 * [simplify]: Simplified (2 1 2 1) to (λ (a b c 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)))))
11.030 * * * * [progress]: [ 67 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.030 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
11.030 * * [simplify]: iters left: 6 (8 enodes)
11.032 * * [simplify]: iters left: 5 (26 enodes)
11.035 * * [simplify]: Extracting #0: cost 1 inf + 0
11.036 * * [simplify]: Extracting #1: cost 4 inf + 0
11.036 * * [simplify]: Extracting #2: cost 7 inf + 0
11.036 * * [simplify]: Extracting #3: cost 10 inf + 0
11.036 * * [simplify]: Extracting #4: cost 14 inf + 0
11.036 * * [simplify]: Extracting #5: cost 10 inf + 84
11.036 * * [simplify]: Extracting #6: cost 8 inf + 166
11.036 * * [simplify]: Extracting #7: cost 4 inf + 854
11.036 * * [simplify]: Extracting #8: cost 1 inf + 1540
11.036 * * [simplify]: Extracting #9: cost 0 inf + 1782
11.037 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
11.037 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (cbrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.037 * * * * [progress]: [ 68 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.037 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
11.037 * * [simplify]: iters left: 6 (7 enodes)
11.039 * * [simplify]: iters left: 5 (22 enodes)
11.042 * * [simplify]: Extracting #0: cost 1 inf + 0
11.042 * * [simplify]: Extracting #1: cost 3 inf + 0
11.042 * * [simplify]: Extracting #2: cost 5 inf + 0
11.042 * * [simplify]: Extracting #3: cost 8 inf + 0
11.042 * * [simplify]: Extracting #4: cost 12 inf + 0
11.042 * * [simplify]: Extracting #5: cost 10 inf + 2
11.042 * * [simplify]: Extracting #6: cost 1 inf + 936
11.042 * * [simplify]: Extracting #7: cost 0 inf + 1138
11.042 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
11.042 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.042 * * * * [progress]: [ 69 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt 1) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.043 * [simplify]: Simplifying (sqrt 1)
11.043 * * [simplify]: iters left: 1 (2 enodes)
11.045 * * [simplify]: Extracting #0: cost 1 inf + 0
11.045 * * [simplify]: Extracting #1: cost 0 inf + 1
11.045 * [simplify]: Simplified to 1
11.045 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.045 * * * * [progress]: [ 70 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.045 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
11.045 * * [simplify]: iters left: 6 (7 enodes)
11.048 * * [simplify]: iters left: 5 (22 enodes)
11.053 * * [simplify]: Extracting #0: cost 1 inf + 0
11.054 * * [simplify]: Extracting #1: cost 3 inf + 0
11.054 * * [simplify]: Extracting #2: cost 5 inf + 0
11.054 * * [simplify]: Extracting #3: cost 8 inf + 0
11.054 * * [simplify]: Extracting #4: cost 12 inf + 0
11.054 * * [simplify]: Extracting #5: cost 10 inf + 2
11.054 * * [simplify]: Extracting #6: cost 1 inf + 936
11.055 * * [simplify]: Extracting #7: cost 0 inf + 1138
11.055 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
11.055 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.055 * * * * [progress]: [ 71 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.055 * * * * [progress]: [ 72 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
11.056 * [simplify]: Simplifying (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))
11.056 * * [simplify]: iters left: 6 (11 enodes)
11.062 * * [simplify]: iters left: 5 (61 enodes)
11.084 * * [simplify]: iters left: 4 (157 enodes)
11.155 * * [simplify]: iters left: 3 (330 enodes)
11.231 * * [simplify]: Extracting #0: cost 1 inf + 0
11.231 * * [simplify]: Extracting #1: cost 12 inf + 0
11.231 * * [simplify]: Extracting #2: cost 81 inf + 0
11.231 * * [simplify]: Extracting #3: cost 114 inf + 497
11.233 * * [simplify]: Extracting #4: cost 46 inf + 6407
11.236 * * [simplify]: Extracting #5: cost 7 inf + 12132
11.240 * * [simplify]: Extracting #6: cost 0 inf + 12838
11.243 * * [simplify]: Extracting #7: cost 0 inf + 12798
11.249 * [simplify]: Simplified to (- (* (* b d) (* b d)) (* (- (* b d) (* a c)) (* a c)))
11.249 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))) (- (* (* b d) (* b d)) (* (- (* b d) (* a c)) (* a c))))) (sqrt (+ (* c c) (* d d)))))
11.249 * * * * [progress]: [ 73 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
11.249 * [simplify]: Simplifying (- (* a c) (* b d))
11.249 * * [simplify]: iters left: 4 (7 enodes)
11.251 * * [simplify]: iters left: 3 (25 enodes)
11.254 * * [simplify]: iters left: 2 (34 enodes)
11.260 * * [simplify]: iters left: 1 (38 enodes)
11.269 * * [simplify]: Extracting #0: cost 1 inf + 0
11.269 * * [simplify]: Extracting #1: cost 5 inf + 0
11.269 * * [simplify]: Extracting #2: cost 14 inf + 0
11.269 * * [simplify]: Extracting #3: cost 9 inf + 169
11.270 * * [simplify]: Extracting #4: cost 2 inf + 583
11.270 * * [simplify]: Extracting #5: cost 0 inf + 748
11.271 * [simplify]: Simplified to (- (* a c) (* b d))
11.271 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
11.271 * * * * [progress]: [ 74 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (* (+ (* a c) (* b d)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
11.271 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
11.271 * * [simplify]: iters left: 6 (9 enodes)
11.277 * * [simplify]: iters left: 5 (45 enodes)
11.297 * * [simplify]: iters left: 4 (100 enodes)
11.342 * * [simplify]: iters left: 3 (201 enodes)
11.431 * * [simplify]: iters left: 2 (406 enodes)
11.589 * * [simplify]: Extracting #0: cost 1 inf + 0
11.589 * * [simplify]: Extracting #1: cost 3 inf + 0
11.589 * * [simplify]: Extracting #2: cost 6 inf + 0
11.589 * * [simplify]: Extracting #3: cost 62 inf + 0
11.590 * * [simplify]: Extracting #4: cost 166 inf + 460
11.591 * * [simplify]: Extracting #5: cost 131 inf + 12951
11.595 * * [simplify]: Extracting #6: cost 49 inf + 45746
11.610 * * [simplify]: Extracting #7: cost 1 inf + 66256
11.621 * * [simplify]: Extracting #8: cost 0 inf + 65919
11.631 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
11.631 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (* (+ (* a c) (* b d)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))
11.632 * * * * [progress]: [ 75 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ (* a c) (* b d)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.632 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
11.632 * * [simplify]: iters left: 6 (8 enodes)
11.636 * * [simplify]: iters left: 5 (37 enodes)
11.648 * * [simplify]: iters left: 4 (67 enodes)
11.670 * * [simplify]: iters left: 3 (123 enodes)
11.709 * * [simplify]: iters left: 2 (278 enodes)
12.249 * * [simplify]: Extracting #0: cost 1 inf + 0
12.249 * * [simplify]: Extracting #1: cost 3 inf + 0
12.249 * * [simplify]: Extracting #2: cost 50 inf + 0
12.249 * * [simplify]: Extracting #3: cost 150 inf + 0
12.250 * * [simplify]: Extracting #4: cost 194 inf + 1180
12.253 * * [simplify]: Extracting #5: cost 123 inf + 12421
12.259 * * [simplify]: Extracting #6: cost 12 inf + 33804
12.267 * * [simplify]: Extracting #7: cost 0 inf + 36129
12.274 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
12.274 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ (* a c) (* b d)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.275 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (posit16->real (real->posit16 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.276 * * * * [progress]: [ 77 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (log (* (exp (* a c)) (exp (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.276 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
12.276 * * [simplify]: iters left: 5 (9 enodes)
12.279 * * [simplify]: iters left: 4 (36 enodes)
12.286 * * [simplify]: iters left: 3 (55 enodes)
12.302 * * [simplify]: iters left: 2 (91 enodes)
12.338 * * [simplify]: iters left: 1 (191 enodes)
12.458 * * [simplify]: Extracting #0: cost 1 inf + 0
12.458 * * [simplify]: Extracting #1: cost 38 inf + 0
12.458 * * [simplify]: Extracting #2: cost 150 inf + 0
12.459 * * [simplify]: Extracting #3: cost 173 inf + 772
12.460 * * [simplify]: Extracting #4: cost 148 inf + 4628
12.464 * * [simplify]: Extracting #5: cost 93 inf + 18511
12.470 * * [simplify]: Extracting #6: cost 27 inf + 61555
12.478 * * [simplify]: Extracting #7: cost 0 inf + 82217
12.491 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
12.491 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (log (exp (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
12.491 * * * * [progress]: [ 78 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (pow (+ (* a c) (* b d)) 1))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 79 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (exp (log (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 80 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (log (exp (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 81 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (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)))))>
12.492 * * * * [progress]: [ 82 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (cbrt (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 83 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (* (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 84 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 85 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (* 1 (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 86 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (posit16->real (real->posit16 (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
12.492 * * * * [progress]: [ 89 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) d))>
12.493 * [simplify]: Simplifying d
12.493 * * [simplify]: iters left: 0 (1 enodes)
12.493 * * [simplify]: Extracting #0: cost 1 inf + 0
12.493 * * [simplify]: Extracting #1: cost 0 inf + 1
12.493 * [simplify]: Simplified to d
12.493 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) d))
12.493 * * * * [progress]: [ 90 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) c))>
12.494 * [simplify]: Simplifying c
12.494 * * [simplify]: iters left: 0 (1 enodes)
12.494 * * [simplify]: Extracting #0: cost 1 inf + 0
12.494 * * [simplify]: Extracting #1: cost 0 inf + 1
12.494 * [simplify]: Simplified to c
12.494 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) c))
12.494 * * * * [progress]: [ 91 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* -1 c)))>
12.495 * [simplify]: Simplifying (* -1 c)
12.495 * * [simplify]: iters left: 2 (3 enodes)
12.497 * * [simplify]: iters left: 1 (11 enodes)
12.500 * * [simplify]: Extracting #0: cost 1 inf + 0
12.500 * * [simplify]: Extracting #1: cost 4 inf + 0
12.500 * * [simplify]: Extracting #2: cost 0 inf + 84
12.500 * [simplify]: Simplified to (- c)
12.500 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (- c)))
12.500 * * * * [progress]: [ 92 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ d (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
12.501 * [simplify]: Simplifying d
12.501 * * [simplify]: iters left: 0 (1 enodes)
12.501 * * [simplify]: Extracting #0: cost 1 inf + 0
12.501 * * [simplify]: Extracting #1: cost 0 inf + 1
12.501 * [simplify]: Simplified to d
12.501 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ d (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
12.501 * * * * [progress]: [ 93 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ c (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
12.502 * [simplify]: Simplifying c
12.502 * * [simplify]: iters left: 0 (1 enodes)
12.502 * * [simplify]: Extracting #0: cost 1 inf + 0
12.502 * * [simplify]: Extracting #1: cost 0 inf + 1
12.502 * [simplify]: Simplified to c
12.502 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ c (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
12.502 * * * * [progress]: [ 94 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* -1 c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
12.503 * [simplify]: Simplifying (* -1 c)
12.503 * * [simplify]: iters left: 2 (3 enodes)
12.505 * * [simplify]: iters left: 1 (11 enodes)
12.508 * * [simplify]: Extracting #0: cost 1 inf + 0
12.508 * * [simplify]: Extracting #1: cost 4 inf + 0
12.508 * * [simplify]: Extracting #2: cost 0 inf + 84
12.508 * [simplify]: Simplified to (- c)
12.508 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
12.508 * * * * [progress]: [ 95 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
12.508 * [simplify]: Simplifying 0
12.508 * * [simplify]: iters left: 0 (1 enodes)
12.509 * * [simplify]: Extracting #0: cost 1 inf + 0
12.509 * * [simplify]: Extracting #1: cost 0 inf + 1
12.509 * [simplify]: Simplified to 0
12.509 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
12.510 * * * * [progress]: [ 96 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
12.510 * [simplify]: Simplifying 0
12.510 * * [simplify]: iters left: 0 (1 enodes)
12.511 * * [simplify]: Extracting #0: cost 1 inf + 0
12.511 * * [simplify]: Extracting #1: cost 0 inf + 1
12.511 * [simplify]: Simplified to 0
12.511 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
12.511 * * * * [progress]: [ 97 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
12.511 * [simplify]: Simplifying 0
12.511 * * [simplify]: iters left: 0 (1 enodes)
12.512 * * [simplify]: Extracting #0: cost 1 inf + 0
12.512 * * [simplify]: Extracting #1: cost 0 inf + 1
12.512 * [simplify]: Simplified to 0
12.512 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
12.512 * * * * [progress]: [ 98 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) 0)) (sqrt (+ (* c c) (* d d)))))>
12.513 * [simplify]: Simplifying 0
12.513 * * [simplify]: iters left: 0 (1 enodes)
12.514 * * [simplify]: Extracting #0: cost 1 inf + 0
12.514 * * [simplify]: Extracting #1: cost 0 inf + 1
12.514 * [simplify]: Simplified to 0
12.514 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) 0)) (sqrt (+ (* c c) (* d d)))))
12.514 * * * * [progress]: [ 99 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
12.514 * [simplify]: Simplifying (+ (* a c) (* b d))
12.514 * * [simplify]: iters left: 4 (7 enodes)
12.517 * * [simplify]: iters left: 3 (24 enodes)
12.523 * * [simplify]: Extracting #0: cost 1 inf + 0
12.523 * * [simplify]: Extracting #1: cost 4 inf + 0
12.524 * * [simplify]: Extracting #2: cost 10 inf + 0
12.524 * * [simplify]: Extracting #3: cost 6 inf + 4
12.524 * * [simplify]: Extracting #4: cost 1 inf + 296
12.524 * * [simplify]: Extracting #5: cost 0 inf + 420
12.524 * [simplify]: Simplified to (+ (* b d) (* a c))
12.524 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
12.525 * * * * [progress]: [ 100 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))>
12.525 * [simplify]: Simplifying (+ (* a c) (* b d))
12.525 * * [simplify]: iters left: 4 (7 enodes)
12.528 * * [simplify]: iters left: 3 (24 enodes)
12.534 * * [simplify]: Extracting #0: cost 1 inf + 0
12.534 * * [simplify]: Extracting #1: cost 4 inf + 0
12.534 * * [simplify]: Extracting #2: cost 10 inf + 0
12.534 * * [simplify]: Extracting #3: cost 6 inf + 4
12.534 * * [simplify]: Extracting #4: cost 1 inf + 296
12.535 * * [simplify]: Extracting #5: cost 0 inf + 420
12.535 * [simplify]: Simplified to (+ (* b d) (* a c))
12.535 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
12.535 * * * [progress]: adding candidates to table
13.837 * * [progress]: iteration 4 / 4
13.837 * * * [progress]: picking best candidate
13.894 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
13.894 * * * [progress]: localizing error
13.939 * * * [progress]: generating rewritten candidates
13.939 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
13.948 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1)
13.959 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1)
13.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1)
13.972 * * * [progress]: generating series expansions
13.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
13.972 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
13.972 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
13.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
13.972 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
13.972 * [taylor]: Taking taylor expansion of (pow c 2) in d
13.972 * [taylor]: Taking taylor expansion of c in d
13.972 * [backup-simplify]: Simplify c into c
13.972 * [taylor]: Taking taylor expansion of (pow d 2) in d
13.972 * [taylor]: Taking taylor expansion of d in d
13.972 * [backup-simplify]: Simplify 0 into 0
13.972 * [backup-simplify]: Simplify 1 into 1
13.972 * [backup-simplify]: Simplify (* c c) into (pow c 2)
13.972 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
13.972 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
13.973 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
13.973 * [backup-simplify]: Simplify (+ 0 0) into 0
13.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
13.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
13.973 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
13.973 * [taylor]: Taking taylor expansion of (pow c 2) in c
13.973 * [taylor]: Taking taylor expansion of c in c
13.973 * [backup-simplify]: Simplify 0 into 0
13.973 * [backup-simplify]: Simplify 1 into 1
13.973 * [taylor]: Taking taylor expansion of (pow d 2) in c
13.973 * [taylor]: Taking taylor expansion of d in c
13.973 * [backup-simplify]: Simplify d into d
13.973 * [backup-simplify]: Simplify (* d d) into (pow d 2)
13.973 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
13.974 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
13.974 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
13.974 * [backup-simplify]: Simplify (+ 0 0) into 0
13.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
13.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
13.974 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
13.974 * [taylor]: Taking taylor expansion of (pow c 2) in c
13.974 * [taylor]: Taking taylor expansion of c in c
13.974 * [backup-simplify]: Simplify 0 into 0
13.974 * [backup-simplify]: Simplify 1 into 1
13.974 * [taylor]: Taking taylor expansion of (pow d 2) in c
13.974 * [taylor]: Taking taylor expansion of d in c
13.974 * [backup-simplify]: Simplify d into d
13.974 * [backup-simplify]: Simplify (* d d) into (pow d 2)
13.974 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
13.974 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
13.974 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
13.975 * [backup-simplify]: Simplify (+ 0 0) into 0
13.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
13.975 * [taylor]: Taking taylor expansion of d in d
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 1 into 1
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [taylor]: Taking taylor expansion of 0 in d
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 1 into 1
13.975 * [backup-simplify]: Simplify (* 1 1) into 1
13.976 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
13.976 * [backup-simplify]: Simplify (+ 1 0) into 1
13.976 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
13.976 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
13.976 * [taylor]: Taking taylor expansion of 1/2 in d
13.977 * [backup-simplify]: Simplify 1/2 into 1/2
13.977 * [taylor]: Taking taylor expansion of d in d
13.977 * [backup-simplify]: Simplify 0 into 0
13.977 * [backup-simplify]: Simplify 1 into 1
13.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.977 * [backup-simplify]: Simplify 0 into 0
13.977 * [backup-simplify]: Simplify 0 into 0
13.977 * [backup-simplify]: Simplify 0 into 0
13.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.978 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
13.979 * [backup-simplify]: Simplify (+ 0 0) into 0
13.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
13.979 * [taylor]: Taking taylor expansion of 0 in d
13.979 * [backup-simplify]: Simplify 0 into 0
13.979 * [backup-simplify]: Simplify 0 into 0
13.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.980 * [backup-simplify]: Simplify 0 into 0
13.980 * [backup-simplify]: Simplify 0 into 0
13.980 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
13.980 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
13.980 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
13.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
13.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
13.980 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
13.980 * [taylor]: Taking taylor expansion of (pow c 2) in d
13.980 * [taylor]: Taking taylor expansion of c in d
13.980 * [backup-simplify]: Simplify c into c
13.980 * [backup-simplify]: Simplify (* c c) into (pow c 2)
13.980 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
13.980 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
13.980 * [taylor]: Taking taylor expansion of (pow d 2) in d
13.980 * [taylor]: Taking taylor expansion of d in d
13.980 * [backup-simplify]: Simplify 0 into 0
13.980 * [backup-simplify]: Simplify 1 into 1
13.980 * [backup-simplify]: Simplify (* 1 1) into 1
13.981 * [backup-simplify]: Simplify (/ 1 1) into 1
13.981 * [backup-simplify]: Simplify (+ 0 1) into 1
13.981 * [backup-simplify]: Simplify (sqrt 1) into 1
13.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.982 * [backup-simplify]: Simplify (+ 0 0) into 0
13.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
13.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
13.983 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
13.983 * [taylor]: Taking taylor expansion of (pow c 2) in c
13.983 * [taylor]: Taking taylor expansion of c in c
13.983 * [backup-simplify]: Simplify 0 into 0
13.983 * [backup-simplify]: Simplify 1 into 1
13.983 * [backup-simplify]: Simplify (* 1 1) into 1
13.983 * [backup-simplify]: Simplify (/ 1 1) into 1
13.983 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
13.983 * [taylor]: Taking taylor expansion of (pow d 2) in c
13.983 * [taylor]: Taking taylor expansion of d in c
13.983 * [backup-simplify]: Simplify d into d
13.983 * [backup-simplify]: Simplify (* d d) into (pow d 2)
13.983 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
13.984 * [backup-simplify]: Simplify (+ 1 0) into 1
13.984 * [backup-simplify]: Simplify (sqrt 1) into 1
13.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.985 * [backup-simplify]: Simplify (+ 0 0) into 0
13.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
13.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
13.986 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
13.986 * [taylor]: Taking taylor expansion of (pow c 2) in c
13.986 * [taylor]: Taking taylor expansion of c in c
13.986 * [backup-simplify]: Simplify 0 into 0
13.986 * [backup-simplify]: Simplify 1 into 1
13.986 * [backup-simplify]: Simplify (* 1 1) into 1
13.986 * [backup-simplify]: Simplify (/ 1 1) into 1
13.986 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
13.986 * [taylor]: Taking taylor expansion of (pow d 2) in c
13.986 * [taylor]: Taking taylor expansion of d in c
13.986 * [backup-simplify]: Simplify d into d
13.986 * [backup-simplify]: Simplify (* d d) into (pow d 2)
13.986 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
13.987 * [backup-simplify]: Simplify (+ 1 0) into 1
13.987 * [backup-simplify]: Simplify (sqrt 1) into 1
13.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.988 * [backup-simplify]: Simplify (+ 0 0) into 0
13.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.989 * [taylor]: Taking taylor expansion of 1 in d
13.989 * [backup-simplify]: Simplify 1 into 1
13.989 * [taylor]: Taking taylor expansion of 0 in d
13.989 * [backup-simplify]: Simplify 0 into 0
13.989 * [backup-simplify]: Simplify 1 into 1
13.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
13.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
13.992 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
13.992 * [taylor]: Taking taylor expansion of 1/2 in d
13.992 * [backup-simplify]: Simplify 1/2 into 1/2
13.992 * [taylor]: Taking taylor expansion of (pow d 2) in d
13.992 * [taylor]: Taking taylor expansion of d in d
13.992 * [backup-simplify]: Simplify 0 into 0
13.992 * [backup-simplify]: Simplify 1 into 1
13.992 * [backup-simplify]: Simplify (* 1 1) into 1
13.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
13.993 * [backup-simplify]: Simplify 0 into 0
13.993 * [backup-simplify]: Simplify 0 into 0
13.993 * [backup-simplify]: Simplify 0 into 0
13.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.994 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
13.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
13.995 * [backup-simplify]: Simplify (+ 0 0) into 0
13.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
13.995 * [taylor]: Taking taylor expansion of 0 in d
13.995 * [backup-simplify]: Simplify 0 into 0
13.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.996 * [backup-simplify]: Simplify 0 into 0
13.996 * [backup-simplify]: Simplify 0 into 0
13.996 * [backup-simplify]: Simplify 0 into 0
13.996 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
13.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
13.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
13.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
13.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
13.997 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
13.997 * [taylor]: Taking taylor expansion of (pow c 2) in d
13.997 * [taylor]: Taking taylor expansion of c in d
13.997 * [backup-simplify]: Simplify c into c
13.997 * [backup-simplify]: Simplify (* c c) into (pow c 2)
13.997 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
13.997 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
13.997 * [taylor]: Taking taylor expansion of (pow d 2) in d
13.997 * [taylor]: Taking taylor expansion of d in d
13.997 * [backup-simplify]: Simplify 0 into 0
13.997 * [backup-simplify]: Simplify 1 into 1
13.997 * [backup-simplify]: Simplify (* 1 1) into 1
13.997 * [backup-simplify]: Simplify (/ 1 1) into 1
13.998 * [backup-simplify]: Simplify (+ 0 1) into 1
13.998 * [backup-simplify]: Simplify (sqrt 1) into 1
13.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.999 * [backup-simplify]: Simplify (+ 0 0) into 0
13.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
13.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
13.999 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
13.999 * [taylor]: Taking taylor expansion of (pow c 2) in c
13.999 * [taylor]: Taking taylor expansion of c in c
13.999 * [backup-simplify]: Simplify 0 into 0
13.999 * [backup-simplify]: Simplify 1 into 1
14.000 * [backup-simplify]: Simplify (* 1 1) into 1
14.000 * [backup-simplify]: Simplify (/ 1 1) into 1
14.000 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.000 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.000 * [taylor]: Taking taylor expansion of d in c
14.000 * [backup-simplify]: Simplify d into d
14.000 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.000 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.000 * [backup-simplify]: Simplify (+ 1 0) into 1
14.001 * [backup-simplify]: Simplify (sqrt 1) into 1
14.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.002 * [backup-simplify]: Simplify (+ 0 0) into 0
14.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.002 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.002 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.002 * [taylor]: Taking taylor expansion of c in c
14.002 * [backup-simplify]: Simplify 0 into 0
14.002 * [backup-simplify]: Simplify 1 into 1
14.002 * [backup-simplify]: Simplify (* 1 1) into 1
14.003 * [backup-simplify]: Simplify (/ 1 1) into 1
14.003 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.003 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.003 * [taylor]: Taking taylor expansion of d in c
14.003 * [backup-simplify]: Simplify d into d
14.003 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.003 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.003 * [backup-simplify]: Simplify (+ 1 0) into 1
14.003 * [backup-simplify]: Simplify (sqrt 1) into 1
14.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.004 * [backup-simplify]: Simplify (+ 0 0) into 0
14.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.005 * [taylor]: Taking taylor expansion of 1 in d
14.005 * [backup-simplify]: Simplify 1 into 1
14.005 * [taylor]: Taking taylor expansion of 0 in d
14.005 * [backup-simplify]: Simplify 0 into 0
14.005 * [backup-simplify]: Simplify 1 into 1
14.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.007 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.008 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.008 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.008 * [taylor]: Taking taylor expansion of 1/2 in d
14.008 * [backup-simplify]: Simplify 1/2 into 1/2
14.008 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.008 * [taylor]: Taking taylor expansion of d in d
14.008 * [backup-simplify]: Simplify 0 into 0
14.008 * [backup-simplify]: Simplify 1 into 1
14.009 * [backup-simplify]: Simplify (* 1 1) into 1
14.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.015 * [backup-simplify]: Simplify 0 into 0
14.015 * [backup-simplify]: Simplify 0 into 0
14.015 * [backup-simplify]: Simplify 0 into 0
14.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.018 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.018 * [backup-simplify]: Simplify (+ 0 0) into 0
14.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.019 * [taylor]: Taking taylor expansion of 0 in d
14.019 * [backup-simplify]: Simplify 0 into 0
14.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.022 * [backup-simplify]: Simplify 0 into 0
14.022 * [backup-simplify]: Simplify 0 into 0
14.022 * [backup-simplify]: Simplify 0 into 0
14.022 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
14.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1)
14.023 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
14.023 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
14.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
14.023 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
14.023 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.023 * [taylor]: Taking taylor expansion of c in d
14.023 * [backup-simplify]: Simplify c into c
14.023 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.023 * [taylor]: Taking taylor expansion of d in d
14.023 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify 1 into 1
14.023 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.023 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
14.023 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
14.023 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
14.024 * [backup-simplify]: Simplify (+ 0 0) into 0
14.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
14.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.024 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.024 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.024 * [taylor]: Taking taylor expansion of c in c
14.024 * [backup-simplify]: Simplify 0 into 0
14.024 * [backup-simplify]: Simplify 1 into 1
14.024 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.024 * [taylor]: Taking taylor expansion of d in c
14.024 * [backup-simplify]: Simplify d into d
14.024 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.024 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.024 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.024 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.025 * [backup-simplify]: Simplify (+ 0 0) into 0
14.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.025 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.025 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.025 * [taylor]: Taking taylor expansion of c in c
14.025 * [backup-simplify]: Simplify 0 into 0
14.025 * [backup-simplify]: Simplify 1 into 1
14.025 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.025 * [taylor]: Taking taylor expansion of d in c
14.025 * [backup-simplify]: Simplify d into d
14.025 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.025 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.025 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.025 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.026 * [backup-simplify]: Simplify (+ 0 0) into 0
14.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.026 * [taylor]: Taking taylor expansion of d in d
14.026 * [backup-simplify]: Simplify 0 into 0
14.026 * [backup-simplify]: Simplify 1 into 1
14.026 * [backup-simplify]: Simplify 0 into 0
14.026 * [taylor]: Taking taylor expansion of 0 in d
14.026 * [backup-simplify]: Simplify 0 into 0
14.026 * [backup-simplify]: Simplify 0 into 0
14.026 * [backup-simplify]: Simplify 1 into 1
14.027 * [backup-simplify]: Simplify (* 1 1) into 1
14.027 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
14.028 * [backup-simplify]: Simplify (+ 1 0) into 1
14.029 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
14.029 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
14.029 * [taylor]: Taking taylor expansion of 1/2 in d
14.029 * [backup-simplify]: Simplify 1/2 into 1/2
14.029 * [taylor]: Taking taylor expansion of d in d
14.029 * [backup-simplify]: Simplify 0 into 0
14.029 * [backup-simplify]: Simplify 1 into 1
14.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.030 * [backup-simplify]: Simplify 0 into 0
14.030 * [backup-simplify]: Simplify 0 into 0
14.030 * [backup-simplify]: Simplify 0 into 0
14.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.031 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
14.031 * [backup-simplify]: Simplify (+ 0 0) into 0
14.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
14.031 * [taylor]: Taking taylor expansion of 0 in d
14.031 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.032 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
14.032 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.032 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.032 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.032 * [taylor]: Taking taylor expansion of c in d
14.032 * [backup-simplify]: Simplify c into c
14.033 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.033 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.033 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.033 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.033 * [taylor]: Taking taylor expansion of d in d
14.033 * [backup-simplify]: Simplify 0 into 0
14.033 * [backup-simplify]: Simplify 1 into 1
14.033 * [backup-simplify]: Simplify (* 1 1) into 1
14.033 * [backup-simplify]: Simplify (/ 1 1) into 1
14.033 * [backup-simplify]: Simplify (+ 0 1) into 1
14.034 * [backup-simplify]: Simplify (sqrt 1) into 1
14.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.035 * [backup-simplify]: Simplify (+ 0 0) into 0
14.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.035 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.035 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.035 * [taylor]: Taking taylor expansion of c in c
14.035 * [backup-simplify]: Simplify 0 into 0
14.035 * [backup-simplify]: Simplify 1 into 1
14.035 * [backup-simplify]: Simplify (* 1 1) into 1
14.036 * [backup-simplify]: Simplify (/ 1 1) into 1
14.036 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.036 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.036 * [taylor]: Taking taylor expansion of d in c
14.036 * [backup-simplify]: Simplify d into d
14.036 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.036 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.036 * [backup-simplify]: Simplify (+ 1 0) into 1
14.036 * [backup-simplify]: Simplify (sqrt 1) into 1
14.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.037 * [backup-simplify]: Simplify (+ 0 0) into 0
14.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.038 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.038 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.038 * [taylor]: Taking taylor expansion of c in c
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify 1 into 1
14.038 * [backup-simplify]: Simplify (* 1 1) into 1
14.038 * [backup-simplify]: Simplify (/ 1 1) into 1
14.038 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.038 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.038 * [taylor]: Taking taylor expansion of d in c
14.038 * [backup-simplify]: Simplify d into d
14.039 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.039 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.039 * [backup-simplify]: Simplify (+ 1 0) into 1
14.039 * [backup-simplify]: Simplify (sqrt 1) into 1
14.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.040 * [backup-simplify]: Simplify (+ 0 0) into 0
14.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.041 * [taylor]: Taking taylor expansion of 1 in d
14.041 * [backup-simplify]: Simplify 1 into 1
14.041 * [taylor]: Taking taylor expansion of 0 in d
14.041 * [backup-simplify]: Simplify 0 into 0
14.041 * [backup-simplify]: Simplify 1 into 1
14.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.043 * [taylor]: Taking taylor expansion of 1/2 in d
14.043 * [backup-simplify]: Simplify 1/2 into 1/2
14.043 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.043 * [taylor]: Taking taylor expansion of d in d
14.043 * [backup-simplify]: Simplify 0 into 0
14.043 * [backup-simplify]: Simplify 1 into 1
14.043 * [backup-simplify]: Simplify (* 1 1) into 1
14.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.044 * [backup-simplify]: Simplify 0 into 0
14.044 * [backup-simplify]: Simplify 0 into 0
14.044 * [backup-simplify]: Simplify 0 into 0
14.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.046 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.046 * [backup-simplify]: Simplify (+ 0 0) into 0
14.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.047 * [taylor]: Taking taylor expansion of 0 in d
14.047 * [backup-simplify]: Simplify 0 into 0
14.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
14.048 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.048 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.048 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.048 * [taylor]: Taking taylor expansion of c in d
14.048 * [backup-simplify]: Simplify c into c
14.048 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.048 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.048 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.048 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.048 * [taylor]: Taking taylor expansion of d in d
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify 1 into 1
14.049 * [backup-simplify]: Simplify (* 1 1) into 1
14.049 * [backup-simplify]: Simplify (/ 1 1) into 1
14.049 * [backup-simplify]: Simplify (+ 0 1) into 1
14.049 * [backup-simplify]: Simplify (sqrt 1) into 1
14.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.051 * [backup-simplify]: Simplify (+ 0 0) into 0
14.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.051 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.051 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.051 * [taylor]: Taking taylor expansion of c in c
14.051 * [backup-simplify]: Simplify 0 into 0
14.051 * [backup-simplify]: Simplify 1 into 1
14.052 * [backup-simplify]: Simplify (* 1 1) into 1
14.052 * [backup-simplify]: Simplify (/ 1 1) into 1
14.052 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.052 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.052 * [taylor]: Taking taylor expansion of d in c
14.052 * [backup-simplify]: Simplify d into d
14.052 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.053 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.053 * [backup-simplify]: Simplify (+ 1 0) into 1
14.053 * [backup-simplify]: Simplify (sqrt 1) into 1
14.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.055 * [backup-simplify]: Simplify (+ 0 0) into 0
14.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.056 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.056 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.056 * [taylor]: Taking taylor expansion of c in c
14.056 * [backup-simplify]: Simplify 0 into 0
14.056 * [backup-simplify]: Simplify 1 into 1
14.056 * [backup-simplify]: Simplify (* 1 1) into 1
14.057 * [backup-simplify]: Simplify (/ 1 1) into 1
14.057 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.057 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.057 * [taylor]: Taking taylor expansion of d in c
14.057 * [backup-simplify]: Simplify d into d
14.057 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.057 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.058 * [backup-simplify]: Simplify (+ 1 0) into 1
14.058 * [backup-simplify]: Simplify (sqrt 1) into 1
14.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.060 * [backup-simplify]: Simplify (+ 0 0) into 0
14.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.061 * [taylor]: Taking taylor expansion of 1 in d
14.061 * [backup-simplify]: Simplify 1 into 1
14.061 * [taylor]: Taking taylor expansion of 0 in d
14.061 * [backup-simplify]: Simplify 0 into 0
14.061 * [backup-simplify]: Simplify 1 into 1
14.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.063 * [taylor]: Taking taylor expansion of 1/2 in d
14.063 * [backup-simplify]: Simplify 1/2 into 1/2
14.063 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.063 * [taylor]: Taking taylor expansion of d in d
14.063 * [backup-simplify]: Simplify 0 into 0
14.063 * [backup-simplify]: Simplify 1 into 1
14.063 * [backup-simplify]: Simplify (* 1 1) into 1
14.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.066 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.066 * [backup-simplify]: Simplify (+ 0 0) into 0
14.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.067 * [taylor]: Taking taylor expansion of 0 in d
14.067 * [backup-simplify]: Simplify 0 into 0
14.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.068 * [backup-simplify]: Simplify 0 into 0
14.068 * [backup-simplify]: Simplify 0 into 0
14.068 * [backup-simplify]: Simplify 0 into 0
14.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
14.068 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1)
14.068 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
14.068 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
14.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
14.068 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
14.068 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.068 * [taylor]: Taking taylor expansion of c in d
14.068 * [backup-simplify]: Simplify c into c
14.068 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.068 * [taylor]: Taking taylor expansion of d in d
14.068 * [backup-simplify]: Simplify 0 into 0
14.068 * [backup-simplify]: Simplify 1 into 1
14.068 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.068 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
14.068 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
14.068 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
14.069 * [backup-simplify]: Simplify (+ 0 0) into 0
14.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
14.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.069 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.069 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.069 * [taylor]: Taking taylor expansion of c in c
14.069 * [backup-simplify]: Simplify 0 into 0
14.069 * [backup-simplify]: Simplify 1 into 1
14.069 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.069 * [taylor]: Taking taylor expansion of d in c
14.069 * [backup-simplify]: Simplify d into d
14.069 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.069 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.069 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.069 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.069 * [backup-simplify]: Simplify (+ 0 0) into 0
14.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.069 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.069 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.069 * [taylor]: Taking taylor expansion of c in c
14.069 * [backup-simplify]: Simplify 0 into 0
14.069 * [backup-simplify]: Simplify 1 into 1
14.069 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.069 * [taylor]: Taking taylor expansion of d in c
14.069 * [backup-simplify]: Simplify d into d
14.070 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.070 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.070 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.070 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.070 * [backup-simplify]: Simplify (+ 0 0) into 0
14.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.070 * [taylor]: Taking taylor expansion of d in d
14.070 * [backup-simplify]: Simplify 0 into 0
14.070 * [backup-simplify]: Simplify 1 into 1
14.070 * [backup-simplify]: Simplify 0 into 0
14.070 * [taylor]: Taking taylor expansion of 0 in d
14.070 * [backup-simplify]: Simplify 0 into 0
14.070 * [backup-simplify]: Simplify 0 into 0
14.070 * [backup-simplify]: Simplify 1 into 1
14.070 * [backup-simplify]: Simplify (* 1 1) into 1
14.071 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
14.071 * [backup-simplify]: Simplify (+ 1 0) into 1
14.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
14.071 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
14.071 * [taylor]: Taking taylor expansion of 1/2 in d
14.072 * [backup-simplify]: Simplify 1/2 into 1/2
14.072 * [taylor]: Taking taylor expansion of d in d
14.072 * [backup-simplify]: Simplify 0 into 0
14.072 * [backup-simplify]: Simplify 1 into 1
14.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.072 * [backup-simplify]: Simplify 0 into 0
14.072 * [backup-simplify]: Simplify 0 into 0
14.072 * [backup-simplify]: Simplify 0 into 0
14.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.073 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
14.074 * [backup-simplify]: Simplify (+ 0 0) into 0
14.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
14.074 * [taylor]: Taking taylor expansion of 0 in d
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
14.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.075 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.075 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.075 * [taylor]: Taking taylor expansion of c in d
14.075 * [backup-simplify]: Simplify c into c
14.075 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.075 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.075 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.075 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.075 * [taylor]: Taking taylor expansion of d in d
14.075 * [backup-simplify]: Simplify 0 into 0
14.075 * [backup-simplify]: Simplify 1 into 1
14.075 * [backup-simplify]: Simplify (* 1 1) into 1
14.075 * [backup-simplify]: Simplify (/ 1 1) into 1
14.076 * [backup-simplify]: Simplify (+ 0 1) into 1
14.076 * [backup-simplify]: Simplify (sqrt 1) into 1
14.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.077 * [backup-simplify]: Simplify (+ 0 0) into 0
14.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.077 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.077 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.077 * [taylor]: Taking taylor expansion of c in c
14.077 * [backup-simplify]: Simplify 0 into 0
14.077 * [backup-simplify]: Simplify 1 into 1
14.078 * [backup-simplify]: Simplify (* 1 1) into 1
14.078 * [backup-simplify]: Simplify (/ 1 1) into 1
14.078 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.078 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.078 * [taylor]: Taking taylor expansion of d in c
14.078 * [backup-simplify]: Simplify d into d
14.078 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.078 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.078 * [backup-simplify]: Simplify (+ 1 0) into 1
14.079 * [backup-simplify]: Simplify (sqrt 1) into 1
14.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.080 * [backup-simplify]: Simplify (+ 0 0) into 0
14.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.080 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.080 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.080 * [taylor]: Taking taylor expansion of c in c
14.080 * [backup-simplify]: Simplify 0 into 0
14.080 * [backup-simplify]: Simplify 1 into 1
14.080 * [backup-simplify]: Simplify (* 1 1) into 1
14.081 * [backup-simplify]: Simplify (/ 1 1) into 1
14.081 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.081 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.081 * [taylor]: Taking taylor expansion of d in c
14.081 * [backup-simplify]: Simplify d into d
14.081 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.081 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.081 * [backup-simplify]: Simplify (+ 1 0) into 1
14.081 * [backup-simplify]: Simplify (sqrt 1) into 1
14.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.083 * [backup-simplify]: Simplify (+ 0 0) into 0
14.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.083 * [taylor]: Taking taylor expansion of 1 in d
14.083 * [backup-simplify]: Simplify 1 into 1
14.083 * [taylor]: Taking taylor expansion of 0 in d
14.083 * [backup-simplify]: Simplify 0 into 0
14.083 * [backup-simplify]: Simplify 1 into 1
14.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.085 * [taylor]: Taking taylor expansion of 1/2 in d
14.085 * [backup-simplify]: Simplify 1/2 into 1/2
14.085 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.085 * [taylor]: Taking taylor expansion of d in d
14.085 * [backup-simplify]: Simplify 0 into 0
14.085 * [backup-simplify]: Simplify 1 into 1
14.085 * [backup-simplify]: Simplify (* 1 1) into 1
14.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.086 * [backup-simplify]: Simplify 0 into 0
14.087 * [backup-simplify]: Simplify 0 into 0
14.087 * [backup-simplify]: Simplify 0 into 0
14.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.088 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.088 * [backup-simplify]: Simplify (+ 0 0) into 0
14.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.088 * [taylor]: Taking taylor expansion of 0 in d
14.088 * [backup-simplify]: Simplify 0 into 0
14.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.090 * [backup-simplify]: Simplify 0 into 0
14.090 * [backup-simplify]: Simplify 0 into 0
14.090 * [backup-simplify]: Simplify 0 into 0
14.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
14.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.090 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.090 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.090 * [taylor]: Taking taylor expansion of c in d
14.090 * [backup-simplify]: Simplify c into c
14.090 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.090 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.090 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.090 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.090 * [taylor]: Taking taylor expansion of d in d
14.090 * [backup-simplify]: Simplify 0 into 0
14.090 * [backup-simplify]: Simplify 1 into 1
14.090 * [backup-simplify]: Simplify (* 1 1) into 1
14.091 * [backup-simplify]: Simplify (/ 1 1) into 1
14.091 * [backup-simplify]: Simplify (+ 0 1) into 1
14.091 * [backup-simplify]: Simplify (sqrt 1) into 1
14.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.092 * [backup-simplify]: Simplify (+ 0 0) into 0
14.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.093 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.093 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.093 * [taylor]: Taking taylor expansion of c in c
14.093 * [backup-simplify]: Simplify 0 into 0
14.093 * [backup-simplify]: Simplify 1 into 1
14.093 * [backup-simplify]: Simplify (* 1 1) into 1
14.093 * [backup-simplify]: Simplify (/ 1 1) into 1
14.093 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.093 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.093 * [taylor]: Taking taylor expansion of d in c
14.093 * [backup-simplify]: Simplify d into d
14.093 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.093 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.094 * [backup-simplify]: Simplify (+ 1 0) into 1
14.094 * [backup-simplify]: Simplify (sqrt 1) into 1
14.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.096 * [backup-simplify]: Simplify (+ 0 0) into 0
14.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.097 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.097 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.097 * [taylor]: Taking taylor expansion of c in c
14.097 * [backup-simplify]: Simplify 0 into 0
14.097 * [backup-simplify]: Simplify 1 into 1
14.097 * [backup-simplify]: Simplify (* 1 1) into 1
14.097 * [backup-simplify]: Simplify (/ 1 1) into 1
14.097 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.097 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.098 * [taylor]: Taking taylor expansion of d in c
14.098 * [backup-simplify]: Simplify d into d
14.098 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.098 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.098 * [backup-simplify]: Simplify (+ 1 0) into 1
14.099 * [backup-simplify]: Simplify (sqrt 1) into 1
14.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.100 * [backup-simplify]: Simplify (+ 0 0) into 0
14.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.101 * [taylor]: Taking taylor expansion of 1 in d
14.101 * [backup-simplify]: Simplify 1 into 1
14.101 * [taylor]: Taking taylor expansion of 0 in d
14.101 * [backup-simplify]: Simplify 0 into 0
14.101 * [backup-simplify]: Simplify 1 into 1
14.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.105 * [taylor]: Taking taylor expansion of 1/2 in d
14.105 * [backup-simplify]: Simplify 1/2 into 1/2
14.105 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.105 * [taylor]: Taking taylor expansion of d in d
14.105 * [backup-simplify]: Simplify 0 into 0
14.105 * [backup-simplify]: Simplify 1 into 1
14.105 * [backup-simplify]: Simplify (* 1 1) into 1
14.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.107 * [backup-simplify]: Simplify 0 into 0
14.107 * [backup-simplify]: Simplify 0 into 0
14.107 * [backup-simplify]: Simplify 0 into 0
14.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.110 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.110 * [backup-simplify]: Simplify (+ 0 0) into 0
14.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.111 * [taylor]: Taking taylor expansion of 0 in d
14.111 * [backup-simplify]: Simplify 0 into 0
14.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.113 * [backup-simplify]: Simplify 0 into 0
14.113 * [backup-simplify]: Simplify 0 into 0
14.113 * [backup-simplify]: Simplify 0 into 0
14.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
14.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1)
14.114 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
14.114 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
14.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
14.114 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
14.114 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.114 * [taylor]: Taking taylor expansion of c in d
14.114 * [backup-simplify]: Simplify c into c
14.114 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.114 * [taylor]: Taking taylor expansion of d in d
14.114 * [backup-simplify]: Simplify 0 into 0
14.114 * [backup-simplify]: Simplify 1 into 1
14.114 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.114 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
14.114 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
14.115 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
14.115 * [backup-simplify]: Simplify (+ 0 0) into 0
14.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
14.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.115 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.115 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.115 * [taylor]: Taking taylor expansion of c in c
14.115 * [backup-simplify]: Simplify 0 into 0
14.115 * [backup-simplify]: Simplify 1 into 1
14.115 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.115 * [taylor]: Taking taylor expansion of d in c
14.115 * [backup-simplify]: Simplify d into d
14.115 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.116 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.116 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.116 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.116 * [backup-simplify]: Simplify (+ 0 0) into 0
14.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
14.116 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
14.116 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.116 * [taylor]: Taking taylor expansion of c in c
14.116 * [backup-simplify]: Simplify 0 into 0
14.116 * [backup-simplify]: Simplify 1 into 1
14.116 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.116 * [taylor]: Taking taylor expansion of d in c
14.117 * [backup-simplify]: Simplify d into d
14.117 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.117 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
14.117 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
14.117 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.117 * [backup-simplify]: Simplify (+ 0 0) into 0
14.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
14.118 * [taylor]: Taking taylor expansion of d in d
14.118 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify 1 into 1
14.118 * [backup-simplify]: Simplify 0 into 0
14.118 * [taylor]: Taking taylor expansion of 0 in d
14.118 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify 1 into 1
14.118 * [backup-simplify]: Simplify (* 1 1) into 1
14.119 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
14.119 * [backup-simplify]: Simplify (+ 1 0) into 1
14.120 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
14.120 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
14.120 * [taylor]: Taking taylor expansion of 1/2 in d
14.120 * [backup-simplify]: Simplify 1/2 into 1/2
14.120 * [taylor]: Taking taylor expansion of d in d
14.120 * [backup-simplify]: Simplify 0 into 0
14.120 * [backup-simplify]: Simplify 1 into 1
14.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.122 * [backup-simplify]: Simplify 0 into 0
14.122 * [backup-simplify]: Simplify 0 into 0
14.122 * [backup-simplify]: Simplify 0 into 0
14.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.123 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
14.123 * [backup-simplify]: Simplify (+ 0 0) into 0
14.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
14.123 * [taylor]: Taking taylor expansion of 0 in d
14.123 * [backup-simplify]: Simplify 0 into 0
14.123 * [backup-simplify]: Simplify 0 into 0
14.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.124 * [backup-simplify]: Simplify 0 into 0
14.124 * [backup-simplify]: Simplify 0 into 0
14.124 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
14.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.124 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.124 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.124 * [taylor]: Taking taylor expansion of c in d
14.124 * [backup-simplify]: Simplify c into c
14.124 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.124 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.124 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.124 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.124 * [taylor]: Taking taylor expansion of d in d
14.124 * [backup-simplify]: Simplify 0 into 0
14.124 * [backup-simplify]: Simplify 1 into 1
14.125 * [backup-simplify]: Simplify (* 1 1) into 1
14.125 * [backup-simplify]: Simplify (/ 1 1) into 1
14.125 * [backup-simplify]: Simplify (+ 0 1) into 1
14.125 * [backup-simplify]: Simplify (sqrt 1) into 1
14.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.126 * [backup-simplify]: Simplify (+ 0 0) into 0
14.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.127 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.127 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.127 * [taylor]: Taking taylor expansion of c in c
14.127 * [backup-simplify]: Simplify 0 into 0
14.127 * [backup-simplify]: Simplify 1 into 1
14.134 * [backup-simplify]: Simplify (* 1 1) into 1
14.135 * [backup-simplify]: Simplify (/ 1 1) into 1
14.135 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.135 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.135 * [taylor]: Taking taylor expansion of d in c
14.135 * [backup-simplify]: Simplify d into d
14.135 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.135 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.136 * [backup-simplify]: Simplify (+ 1 0) into 1
14.136 * [backup-simplify]: Simplify (sqrt 1) into 1
14.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.137 * [backup-simplify]: Simplify (+ 0 0) into 0
14.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.138 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.138 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.138 * [taylor]: Taking taylor expansion of c in c
14.138 * [backup-simplify]: Simplify 0 into 0
14.138 * [backup-simplify]: Simplify 1 into 1
14.138 * [backup-simplify]: Simplify (* 1 1) into 1
14.138 * [backup-simplify]: Simplify (/ 1 1) into 1
14.138 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.138 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.138 * [taylor]: Taking taylor expansion of d in c
14.138 * [backup-simplify]: Simplify d into d
14.138 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.138 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.139 * [backup-simplify]: Simplify (+ 1 0) into 1
14.139 * [backup-simplify]: Simplify (sqrt 1) into 1
14.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.140 * [backup-simplify]: Simplify (+ 0 0) into 0
14.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.140 * [taylor]: Taking taylor expansion of 1 in d
14.140 * [backup-simplify]: Simplify 1 into 1
14.140 * [taylor]: Taking taylor expansion of 0 in d
14.140 * [backup-simplify]: Simplify 0 into 0
14.140 * [backup-simplify]: Simplify 1 into 1
14.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.142 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.142 * [taylor]: Taking taylor expansion of 1/2 in d
14.142 * [backup-simplify]: Simplify 1/2 into 1/2
14.142 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.142 * [taylor]: Taking taylor expansion of d in d
14.142 * [backup-simplify]: Simplify 0 into 0
14.142 * [backup-simplify]: Simplify 1 into 1
14.143 * [backup-simplify]: Simplify (* 1 1) into 1
14.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.144 * [backup-simplify]: Simplify 0 into 0
14.144 * [backup-simplify]: Simplify 0 into 0
14.144 * [backup-simplify]: Simplify 0 into 0
14.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.145 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.145 * [backup-simplify]: Simplify (+ 0 0) into 0
14.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.146 * [taylor]: Taking taylor expansion of 0 in d
14.146 * [backup-simplify]: Simplify 0 into 0
14.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.147 * [backup-simplify]: Simplify 0 into 0
14.147 * [backup-simplify]: Simplify 0 into 0
14.147 * [backup-simplify]: Simplify 0 into 0
14.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
14.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
14.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
14.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
14.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
14.147 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
14.147 * [taylor]: Taking taylor expansion of (pow c 2) in d
14.147 * [taylor]: Taking taylor expansion of c in d
14.147 * [backup-simplify]: Simplify c into c
14.147 * [backup-simplify]: Simplify (* c c) into (pow c 2)
14.147 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
14.147 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
14.148 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.148 * [taylor]: Taking taylor expansion of d in d
14.148 * [backup-simplify]: Simplify 0 into 0
14.148 * [backup-simplify]: Simplify 1 into 1
14.148 * [backup-simplify]: Simplify (* 1 1) into 1
14.148 * [backup-simplify]: Simplify (/ 1 1) into 1
14.148 * [backup-simplify]: Simplify (+ 0 1) into 1
14.149 * [backup-simplify]: Simplify (sqrt 1) into 1
14.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.150 * [backup-simplify]: Simplify (+ 0 0) into 0
14.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.150 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.150 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.150 * [taylor]: Taking taylor expansion of c in c
14.150 * [backup-simplify]: Simplify 0 into 0
14.150 * [backup-simplify]: Simplify 1 into 1
14.150 * [backup-simplify]: Simplify (* 1 1) into 1
14.151 * [backup-simplify]: Simplify (/ 1 1) into 1
14.151 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.151 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.151 * [taylor]: Taking taylor expansion of d in c
14.151 * [backup-simplify]: Simplify d into d
14.151 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.151 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.151 * [backup-simplify]: Simplify (+ 1 0) into 1
14.151 * [backup-simplify]: Simplify (sqrt 1) into 1
14.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.152 * [backup-simplify]: Simplify (+ 0 0) into 0
14.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
14.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
14.153 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
14.153 * [taylor]: Taking taylor expansion of (pow c 2) in c
14.153 * [taylor]: Taking taylor expansion of c in c
14.153 * [backup-simplify]: Simplify 0 into 0
14.153 * [backup-simplify]: Simplify 1 into 1
14.153 * [backup-simplify]: Simplify (* 1 1) into 1
14.153 * [backup-simplify]: Simplify (/ 1 1) into 1
14.153 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
14.153 * [taylor]: Taking taylor expansion of (pow d 2) in c
14.153 * [taylor]: Taking taylor expansion of d in c
14.153 * [backup-simplify]: Simplify d into d
14.153 * [backup-simplify]: Simplify (* d d) into (pow d 2)
14.153 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
14.154 * [backup-simplify]: Simplify (+ 1 0) into 1
14.154 * [backup-simplify]: Simplify (sqrt 1) into 1
14.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.155 * [backup-simplify]: Simplify (+ 0 0) into 0
14.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.155 * [taylor]: Taking taylor expansion of 1 in d
14.156 * [backup-simplify]: Simplify 1 into 1
14.156 * [taylor]: Taking taylor expansion of 0 in d
14.156 * [backup-simplify]: Simplify 0 into 0
14.156 * [backup-simplify]: Simplify 1 into 1
14.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
14.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
14.157 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
14.158 * [taylor]: Taking taylor expansion of 1/2 in d
14.158 * [backup-simplify]: Simplify 1/2 into 1/2
14.158 * [taylor]: Taking taylor expansion of (pow d 2) in d
14.158 * [taylor]: Taking taylor expansion of d in d
14.158 * [backup-simplify]: Simplify 0 into 0
14.158 * [backup-simplify]: Simplify 1 into 1
14.158 * [backup-simplify]: Simplify (* 1 1) into 1
14.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify 0 into 0
14.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.160 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
14.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
14.161 * [backup-simplify]: Simplify (+ 0 0) into 0
14.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
14.161 * [taylor]: Taking taylor expansion of 0 in d
14.161 * [backup-simplify]: Simplify 0 into 0
14.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.162 * [backup-simplify]: Simplify 0 into 0
14.162 * [backup-simplify]: Simplify 0 into 0
14.162 * [backup-simplify]: Simplify 0 into 0
14.162 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
14.162 * * * [progress]: simplifying candidates
14.162 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (pow (+ (* c c) (* d d)) 1/2)))>
14.162 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b 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))) 1)))>
14.162 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
14.162 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
14.163 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* 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 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
14.163 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* 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 (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
14.163 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d 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 (cbrt (+ (* c c) (* d d)))))))>
14.163 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
14.163 * * [simplify]: iters left: 6 (8 enodes)
14.165 * * [simplify]: iters left: 5 (26 enodes)
14.168 * * [simplify]: Extracting #0: cost 1 inf + 0
14.168 * * [simplify]: Extracting #1: cost 4 inf + 0
14.168 * * [simplify]: Extracting #2: cost 7 inf + 0
14.168 * * [simplify]: Extracting #3: cost 10 inf + 0
14.168 * * [simplify]: Extracting #4: cost 14 inf + 0
14.168 * * [simplify]: Extracting #5: cost 10 inf + 84
14.169 * * [simplify]: Extracting #6: cost 8 inf + 166
14.169 * * [simplify]: Extracting #7: cost 4 inf + 854
14.169 * * [simplify]: Extracting #8: cost 1 inf + 1540
14.169 * * [simplify]: Extracting #9: cost 0 inf + 1782
14.170 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
14.170 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
14.170 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
14.170 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
14.170 * * [simplify]: iters left: 6 (7 enodes)
14.172 * * [simplify]: iters left: 5 (22 enodes)
14.175 * * [simplify]: Extracting #0: cost 1 inf + 0
14.175 * * [simplify]: Extracting #1: cost 3 inf + 0
14.175 * * [simplify]: Extracting #2: cost 5 inf + 0
14.175 * * [simplify]: Extracting #3: cost 8 inf + 0
14.175 * * [simplify]: Extracting #4: cost 12 inf + 0
14.175 * * [simplify]: Extracting #5: cost 10 inf + 2
14.175 * * [simplify]: Extracting #6: cost 1 inf + 936
14.175 * * [simplify]: Extracting #7: cost 0 inf + 1138
14.176 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
14.176 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
14.176 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
14.176 * [simplify]: Simplifying (sqrt 1)
14.176 * * [simplify]: iters left: 1 (2 enodes)
14.178 * * [simplify]: Extracting #0: cost 1 inf + 0
14.178 * * [simplify]: Extracting #1: cost 0 inf + 1
14.178 * [simplify]: Simplified to 1
14.178 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* 1 (sqrt (+ (* c c) (* d d))))))
14.178 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))))))>
14.178 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
14.179 * * [simplify]: iters left: 6 (9 enodes)
14.181 * * [simplify]: iters left: 5 (45 enodes)
14.198 * * [simplify]: iters left: 4 (100 enodes)
14.227 * * [simplify]: iters left: 3 (201 enodes)
14.279 * * [simplify]: iters left: 2 (406 enodes)
14.416 * * [simplify]: Extracting #0: cost 1 inf + 0
14.416 * * [simplify]: Extracting #1: cost 3 inf + 0
14.416 * * [simplify]: Extracting #2: cost 6 inf + 0
14.416 * * [simplify]: Extracting #3: cost 62 inf + 0
14.416 * * [simplify]: Extracting #4: cost 166 inf + 460
14.418 * * [simplify]: Extracting #5: cost 131 inf + 12951
14.421 * * [simplify]: Extracting #6: cost 49 inf + 45746
14.427 * * [simplify]: Extracting #7: cost 1 inf + 66256
14.437 * * [simplify]: Extracting #8: cost 0 inf + 65919
14.447 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
14.447 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
14.448 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
14.448 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
14.448 * * [simplify]: iters left: 6 (8 enodes)
14.453 * * [simplify]: iters left: 5 (37 enodes)
14.466 * * [simplify]: iters left: 4 (67 enodes)
14.485 * * [simplify]: iters left: 3 (123 enodes)
14.513 * * [simplify]: iters left: 2 (278 enodes)
14.646 * * [simplify]: Extracting #0: cost 1 inf + 0
14.646 * * [simplify]: Extracting #1: cost 3 inf + 0
14.646 * * [simplify]: Extracting #2: cost 50 inf + 0
14.647 * * [simplify]: Extracting #3: cost 150 inf + 0
14.648 * * [simplify]: Extracting #4: cost 194 inf + 1180
14.651 * * [simplify]: Extracting #5: cost 123 inf + 12421
14.657 * * [simplify]: Extracting #6: cost 12 inf + 33804
14.671 * * [simplify]: Extracting #7: cost 0 inf + 36129
14.687 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
14.687 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))
14.688 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (pow (+ (* c c) (* d d)) (/ 1 2))))>
14.688 * [simplify]: Simplifying (+ (* c c) (* d d))
14.688 * * [simplify]: iters left: 4 (5 enodes)
14.690 * * [simplify]: iters left: 3 (16 enodes)
14.699 * * [simplify]: Extracting #0: cost 1 inf + 0
14.699 * * [simplify]: Extracting #1: cost 4 inf + 0
14.699 * * [simplify]: Extracting #2: cost 8 inf + 0
14.699 * * [simplify]: Extracting #3: cost 4 inf + 84
14.699 * * [simplify]: Extracting #4: cost 0 inf + 410
14.699 * [simplify]: Simplified to (+ (* c c) (* d d))
14.699 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (pow (+ (* c c) (* d d)) (/ 1 2))))
14.700 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
14.700 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (sqrt (+ (* c c) (* d d))))))>
14.700 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
14.700 * * [simplify]: iters left: 5 (6 enodes)
14.703 * * [simplify]: iters left: 4 (19 enodes)
14.708 * * [simplify]: Extracting #0: cost 1 inf + 0
14.708 * * [simplify]: Extracting #1: cost 3 inf + 0
14.708 * * [simplify]: Extracting #2: cost 6 inf + 0
14.708 * * [simplify]: Extracting #3: cost 10 inf + 0
14.708 * * [simplify]: Extracting #4: cost 6 inf + 84
14.709 * * [simplify]: Extracting #5: cost 0 inf + 734
14.709 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
14.709 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (sqrt (+ (* c c) (* d d))))))
14.709 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* 1 (sqrt (+ (* c c) (* d d))))))>
14.709 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))))>
14.709 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (pow (+ (* c c) (* d d)) 1/2)))) (sqrt (+ (* c c) (* d d)))))>
14.709 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 1)))) (sqrt (+ (* c c) (* d d)))))>
14.709 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (exp (log (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.710 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (log (exp (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.710 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.710 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.710 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.710 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
14.710 * * [simplify]: iters left: 6 (8 enodes)
14.714 * * [simplify]: iters left: 5 (26 enodes)
14.720 * * [simplify]: Extracting #0: cost 1 inf + 0
14.720 * * [simplify]: Extracting #1: cost 4 inf + 0
14.720 * * [simplify]: Extracting #2: cost 7 inf + 0
14.720 * * [simplify]: Extracting #3: cost 10 inf + 0
14.721 * * [simplify]: Extracting #4: cost 14 inf + 0
14.721 * * [simplify]: Extracting #5: cost 10 inf + 84
14.721 * * [simplify]: Extracting #6: cost 8 inf + 166
14.721 * * [simplify]: Extracting #7: cost 4 inf + 854
14.722 * * [simplify]: Extracting #8: cost 1 inf + 1540
14.722 * * [simplify]: Extracting #9: cost 0 inf + 1782
14.723 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
14.723 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))
14.723 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
14.723 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
14.723 * * [simplify]: iters left: 6 (7 enodes)
14.727 * * [simplify]: iters left: 5 (22 enodes)
14.732 * * [simplify]: Extracting #0: cost 1 inf + 0
14.732 * * [simplify]: Extracting #1: cost 3 inf + 0
14.732 * * [simplify]: Extracting #2: cost 5 inf + 0
14.732 * * [simplify]: Extracting #3: cost 8 inf + 0
14.733 * * [simplify]: Extracting #4: cost 12 inf + 0
14.733 * * [simplify]: Extracting #5: cost 10 inf + 2
14.733 * * [simplify]: Extracting #6: cost 1 inf + 936
14.733 * * [simplify]: Extracting #7: cost 0 inf + 1138
14.734 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
14.734 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))
14.734 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
14.734 * [simplify]: Simplifying (sqrt 1)
14.734 * * [simplify]: iters left: 1 (2 enodes)
14.738 * * [simplify]: Extracting #0: cost 1 inf + 0
14.738 * * [simplify]: Extracting #1: cost 0 inf + 1
14.738 * [simplify]: Simplified to 1
14.738 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
14.738 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (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) (* d d)))))>
14.738 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
14.738 * * [simplify]: iters left: 6 (9 enodes)
14.744 * * [simplify]: iters left: 5 (45 enodes)
14.765 * * [simplify]: iters left: 4 (100 enodes)
14.812 * * [simplify]: iters left: 3 (201 enodes)
14.880 * * [simplify]: iters left: 2 (406 enodes)
15.045 * * [simplify]: Extracting #0: cost 1 inf + 0
15.045 * * [simplify]: Extracting #1: cost 3 inf + 0
15.045 * * [simplify]: Extracting #2: cost 6 inf + 0
15.045 * * [simplify]: Extracting #3: cost 62 inf + 0
15.046 * * [simplify]: Extracting #4: cost 166 inf + 460
15.048 * * [simplify]: Extracting #5: cost 131 inf + 12951
15.051 * * [simplify]: Extracting #6: cost 49 inf + 45746
15.062 * * [simplify]: Extracting #7: cost 1 inf + 66256
15.067 * * [simplify]: Extracting #8: cost 0 inf + 65919
15.072 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
15.072 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) (sqrt (+ (* c c) (* d d)))))
15.072 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
15.073 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
15.073 * * [simplify]: iters left: 6 (8 enodes)
15.075 * * [simplify]: iters left: 5 (37 enodes)
15.081 * * [simplify]: iters left: 4 (67 enodes)
15.093 * * [simplify]: iters left: 3 (123 enodes)
15.127 * * [simplify]: iters left: 2 (278 enodes)
15.268 * * [simplify]: Extracting #0: cost 1 inf + 0
15.268 * * [simplify]: Extracting #1: cost 3 inf + 0
15.268 * * [simplify]: Extracting #2: cost 50 inf + 0
15.269 * * [simplify]: Extracting #3: cost 150 inf + 0
15.269 * * [simplify]: Extracting #4: cost 194 inf + 1180
15.272 * * [simplify]: Extracting #5: cost 123 inf + 12421
15.278 * * [simplify]: Extracting #6: cost 12 inf + 33804
15.285 * * [simplify]: Extracting #7: cost 0 inf + 36129
15.300 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
15.300 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
15.300 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (pow (+ (* c c) (* d d)) (/ 1 2))))) (sqrt (+ (* c c) (* d d)))))>
15.301 * [simplify]: Simplifying (+ (* c c) (* d d))
15.301 * * [simplify]: iters left: 4 (5 enodes)
15.303 * * [simplify]: iters left: 3 (16 enodes)
15.307 * * [simplify]: Extracting #0: cost 1 inf + 0
15.308 * * [simplify]: Extracting #1: cost 4 inf + 0
15.308 * * [simplify]: Extracting #2: cost 8 inf + 0
15.308 * * [simplify]: Extracting #3: cost 4 inf + 84
15.308 * * [simplify]: Extracting #4: cost 0 inf + 410
15.308 * [simplify]: Simplified to (+ (* c c) (* d d))
15.308 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (pow (+ (* c c) (* d d)) (/ 1 2))))) (sqrt (+ (* c c) (* d d)))))
15.308 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
15.308 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
15.309 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
15.309 * * [simplify]: iters left: 5 (6 enodes)
15.311 * * [simplify]: iters left: 4 (19 enodes)
15.316 * * [simplify]: Extracting #0: cost 1 inf + 0
15.316 * * [simplify]: Extracting #1: cost 3 inf + 0
15.316 * * [simplify]: Extracting #2: cost 6 inf + 0
15.317 * * [simplify]: Extracting #3: cost 10 inf + 0
15.317 * * [simplify]: Extracting #4: cost 6 inf + 84
15.317 * * [simplify]: Extracting #5: cost 0 inf + 734
15.317 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
15.317 * [simplify]: Simplified (2 1 2 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
15.317 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (pow (+ (* c c) (* d d)) 1/2))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (pow (sqrt (+ (* c c) (* d d))) 1))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (exp (log (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (log (exp (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (* (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 (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.318 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
15.319 * * [simplify]: iters left: 6 (8 enodes)
15.322 * * [simplify]: iters left: 5 (26 enodes)
15.329 * * [simplify]: Extracting #0: cost 1 inf + 0
15.329 * * [simplify]: Extracting #1: cost 4 inf + 0
15.329 * * [simplify]: Extracting #2: cost 7 inf + 0
15.329 * * [simplify]: Extracting #3: cost 10 inf + 0
15.329 * * [simplify]: Extracting #4: cost 14 inf + 0
15.330 * * [simplify]: Extracting #5: cost 10 inf + 84
15.330 * * [simplify]: Extracting #6: cost 8 inf + 166
15.330 * * [simplify]: Extracting #7: cost 4 inf + 854
15.330 * * [simplify]: Extracting #8: cost 1 inf + 1540
15.331 * * [simplify]: Extracting #9: cost 0 inf + 1782
15.332 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
15.332 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.332 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.332 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
15.332 * * [simplify]: iters left: 6 (7 enodes)
15.335 * * [simplify]: iters left: 5 (22 enodes)
15.342 * * [simplify]: Extracting #0: cost 1 inf + 0
15.342 * * [simplify]: Extracting #1: cost 3 inf + 0
15.342 * * [simplify]: Extracting #2: cost 5 inf + 0
15.342 * * [simplify]: Extracting #3: cost 8 inf + 0
15.342 * * [simplify]: Extracting #4: cost 12 inf + 0
15.342 * * [simplify]: Extracting #5: cost 10 inf + 2
15.343 * * [simplify]: Extracting #6: cost 1 inf + 936
15.343 * * [simplify]: Extracting #7: cost 0 inf + 1138
15.343 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
15.343 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.343 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.343 * [simplify]: Simplifying (sqrt 1)
15.343 * * [simplify]: iters left: 1 (2 enodes)
15.346 * * [simplify]: Extracting #0: cost 1 inf + 0
15.346 * * [simplify]: Extracting #1: cost 0 inf + 1
15.346 * [simplify]: Simplified to 1
15.346 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.346 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.346 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
15.346 * * [simplify]: iters left: 6 (9 enodes)
15.349 * * [simplify]: iters left: 5 (45 enodes)
15.360 * * [simplify]: iters left: 4 (100 enodes)
15.401 * * [simplify]: iters left: 3 (201 enodes)
15.461 * * [simplify]: iters left: 2 (406 enodes)
15.623 * * [simplify]: Extracting #0: cost 1 inf + 0
15.623 * * [simplify]: Extracting #1: cost 3 inf + 0
15.623 * * [simplify]: Extracting #2: cost 6 inf + 0
15.623 * * [simplify]: Extracting #3: cost 62 inf + 0
15.624 * * [simplify]: Extracting #4: cost 166 inf + 460
15.627 * * [simplify]: Extracting #5: cost 131 inf + 12951
15.635 * * [simplify]: Extracting #6: cost 49 inf + 45746
15.645 * * [simplify]: Extracting #7: cost 1 inf + 66256
15.655 * * [simplify]: Extracting #8: cost 0 inf + 65919
15.666 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
15.666 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.666 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.666 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
15.666 * * [simplify]: iters left: 6 (8 enodes)
15.669 * * [simplify]: iters left: 5 (37 enodes)
15.675 * * [simplify]: iters left: 4 (67 enodes)
15.688 * * [simplify]: iters left: 3 (123 enodes)
15.726 * * [simplify]: iters left: 2 (278 enodes)
15.878 * * [simplify]: Extracting #0: cost 1 inf + 0
15.878 * * [simplify]: Extracting #1: cost 3 inf + 0
15.878 * * [simplify]: Extracting #2: cost 50 inf + 0
15.878 * * [simplify]: Extracting #3: cost 150 inf + 0
15.879 * * [simplify]: Extracting #4: cost 194 inf + 1180
15.881 * * [simplify]: Extracting #5: cost 123 inf + 12421
15.888 * * [simplify]: Extracting #6: cost 12 inf + 33804
15.895 * * [simplify]: Extracting #7: cost 0 inf + 36129
15.902 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
15.903 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.903 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (pow (+ (* c c) (* d d)) (/ 1 2)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.903 * [simplify]: Simplifying (+ (* c c) (* d d))
15.903 * * [simplify]: iters left: 4 (5 enodes)
15.904 * * [simplify]: iters left: 3 (16 enodes)
15.907 * * [simplify]: Extracting #0: cost 1 inf + 0
15.907 * * [simplify]: Extracting #1: cost 4 inf + 0
15.907 * * [simplify]: Extracting #2: cost 8 inf + 0
15.907 * * [simplify]: Extracting #3: cost 4 inf + 84
15.907 * * [simplify]: Extracting #4: cost 0 inf + 410
15.907 * [simplify]: Simplified to (+ (* c c) (* d d))
15.907 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (pow (+ (* c c) (* d d)) (/ 1 2)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.907 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.907 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.907 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
15.907 * * [simplify]: iters left: 5 (6 enodes)
15.909 * * [simplify]: iters left: 4 (19 enodes)
15.912 * * [simplify]: Extracting #0: cost 1 inf + 0
15.912 * * [simplify]: Extracting #1: cost 3 inf + 0
15.912 * * [simplify]: Extracting #2: cost 6 inf + 0
15.912 * * [simplify]: Extracting #3: cost 10 inf + 0
15.912 * * [simplify]: Extracting #4: cost 6 inf + 84
15.912 * * [simplify]: Extracting #5: cost 0 inf + 734
15.912 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
15.912 * [simplify]: Simplified (2 1 2 1 2 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.912 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.912 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.912 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (pow (+ (* c c) (* d d)) 1/2)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.912 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (pow (sqrt (+ (* c c) (* d d))) 1)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.912 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (exp (log (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.912 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (log (exp (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.913 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (* (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.913 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.913 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.913 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
15.913 * * [simplify]: iters left: 6 (8 enodes)
15.915 * * [simplify]: iters left: 5 (26 enodes)
15.918 * * [simplify]: Extracting #0: cost 1 inf + 0
15.918 * * [simplify]: Extracting #1: cost 4 inf + 0
15.918 * * [simplify]: Extracting #2: cost 7 inf + 0
15.918 * * [simplify]: Extracting #3: cost 10 inf + 0
15.918 * * [simplify]: Extracting #4: cost 14 inf + 0
15.918 * * [simplify]: Extracting #5: cost 10 inf + 84
15.918 * * [simplify]: Extracting #6: cost 8 inf + 166
15.918 * * [simplify]: Extracting #7: cost 4 inf + 854
15.919 * * [simplify]: Extracting #8: cost 1 inf + 1540
15.919 * * [simplify]: Extracting #9: cost 0 inf + 1782
15.919 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
15.919 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.919 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.920 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
15.920 * * [simplify]: iters left: 6 (7 enodes)
15.921 * * [simplify]: iters left: 5 (22 enodes)
15.926 * * [simplify]: Extracting #0: cost 1 inf + 0
15.926 * * [simplify]: Extracting #1: cost 3 inf + 0
15.926 * * [simplify]: Extracting #2: cost 5 inf + 0
15.927 * * [simplify]: Extracting #3: cost 8 inf + 0
15.927 * * [simplify]: Extracting #4: cost 12 inf + 0
15.927 * * [simplify]: Extracting #5: cost 10 inf + 2
15.927 * * [simplify]: Extracting #6: cost 1 inf + 936
15.927 * * [simplify]: Extracting #7: cost 0 inf + 1138
15.928 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
15.928 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.928 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (sqrt 1) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.928 * [simplify]: Simplifying (sqrt 1)
15.928 * * [simplify]: iters left: 1 (2 enodes)
15.932 * * [simplify]: Extracting #0: cost 1 inf + 0
15.932 * * [simplify]: Extracting #1: cost 0 inf + 1
15.932 * [simplify]: Simplified to 1
15.932 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
15.932 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
15.932 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
15.932 * * [simplify]: iters left: 6 (9 enodes)
15.938 * * [simplify]: iters left: 5 (45 enodes)
15.958 * * [simplify]: iters left: 4 (100 enodes)
15.984 * * [simplify]: iters left: 3 (201 enodes)
16.034 * * [simplify]: iters left: 2 (406 enodes)
16.183 * * [simplify]: Extracting #0: cost 1 inf + 0
16.183 * * [simplify]: Extracting #1: cost 3 inf + 0
16.183 * * [simplify]: Extracting #2: cost 6 inf + 0
16.184 * * [simplify]: Extracting #3: cost 62 inf + 0
16.184 * * [simplify]: Extracting #4: cost 166 inf + 460
16.186 * * [simplify]: Extracting #5: cost 131 inf + 12951
16.189 * * [simplify]: Extracting #6: cost 49 inf + 45746
16.195 * * [simplify]: Extracting #7: cost 1 inf + 66256
16.200 * * [simplify]: Extracting #8: cost 0 inf + 65919
16.205 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
16.205 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.205 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.206 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
16.206 * * [simplify]: iters left: 6 (8 enodes)
16.210 * * [simplify]: iters left: 5 (37 enodes)
16.222 * * [simplify]: iters left: 4 (67 enodes)
16.251 * * [simplify]: iters left: 3 (123 enodes)
16.301 * * [simplify]: iters left: 2 (278 enodes)
16.428 * * [simplify]: Extracting #0: cost 1 inf + 0
16.428 * * [simplify]: Extracting #1: cost 3 inf + 0
16.428 * * [simplify]: Extracting #2: cost 50 inf + 0
16.429 * * [simplify]: Extracting #3: cost 150 inf + 0
16.430 * * [simplify]: Extracting #4: cost 194 inf + 1180
16.432 * * [simplify]: Extracting #5: cost 123 inf + 12421
16.441 * * [simplify]: Extracting #6: cost 12 inf + 33804
16.457 * * [simplify]: Extracting #7: cost 0 inf + 36129
16.469 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
16.469 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.470 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (pow (+ (* c c) (* d d)) (/ 1 2))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.470 * [simplify]: Simplifying (+ (* c c) (* d d))
16.470 * * [simplify]: iters left: 4 (5 enodes)
16.471 * * [simplify]: iters left: 3 (16 enodes)
16.473 * * [simplify]: Extracting #0: cost 1 inf + 0
16.473 * * [simplify]: Extracting #1: cost 4 inf + 0
16.473 * * [simplify]: Extracting #2: cost 8 inf + 0
16.473 * * [simplify]: Extracting #3: cost 4 inf + 84
16.473 * * [simplify]: Extracting #4: cost 0 inf + 410
16.474 * [simplify]: Simplified to (+ (* c c) (* d d))
16.474 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (pow (+ (* c c) (* d d)) (/ 1 2))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.474 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.474 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (fabs (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.474 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
16.474 * * [simplify]: iters left: 5 (6 enodes)
16.475 * * [simplify]: iters left: 4 (19 enodes)
16.478 * * [simplify]: Extracting #0: cost 1 inf + 0
16.478 * * [simplify]: Extracting #1: cost 3 inf + 0
16.478 * * [simplify]: Extracting #2: cost 6 inf + 0
16.478 * * [simplify]: Extracting #3: cost 10 inf + 0
16.478 * * [simplify]: Extracting #4: cost 6 inf + 84
16.478 * * [simplify]: Extracting #5: cost 0 inf + 734
16.478 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
16.478 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (fabs (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.479 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.479 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.479 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) d))>
16.479 * [simplify]: Simplifying d
16.479 * * [simplify]: iters left: 0 (1 enodes)
16.479 * * [simplify]: Extracting #0: cost 1 inf + 0
16.479 * * [simplify]: Extracting #1: cost 0 inf + 1
16.479 * [simplify]: Simplified to d
16.479 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) d))
16.479 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>
16.479 * [simplify]: Simplifying c
16.479 * * [simplify]: iters left: 0 (1 enodes)
16.480 * * [simplify]: Extracting #0: cost 1 inf + 0
16.480 * * [simplify]: Extracting #1: cost 0 inf + 1
16.480 * [simplify]: Simplified to c
16.480 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))
16.480 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* -1 c)))>
16.480 * [simplify]: Simplifying (* -1 c)
16.480 * * [simplify]: iters left: 2 (3 enodes)
16.481 * * [simplify]: iters left: 1 (11 enodes)
16.483 * * [simplify]: Extracting #0: cost 1 inf + 0
16.483 * * [simplify]: Extracting #1: cost 4 inf + 0
16.483 * * [simplify]: Extracting #2: cost 0 inf + 84
16.483 * [simplify]: Simplified to (- c)
16.483 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (- c)))
16.483 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt d))) (sqrt (+ (* c c) (* d d)))))>
16.484 * [simplify]: Simplifying d
16.484 * * [simplify]: iters left: 0 (1 enodes)
16.484 * * [simplify]: Extracting #0: cost 1 inf + 0
16.484 * * [simplify]: Extracting #1: cost 0 inf + 1
16.484 * [simplify]: Simplified to d
16.484 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt d))) (sqrt (+ (* c c) (* d d)))))
16.484 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt c))) (sqrt (+ (* c c) (* d d)))))>
16.484 * [simplify]: Simplifying c
16.484 * * [simplify]: iters left: 0 (1 enodes)
16.484 * * [simplify]: Extracting #0: cost 1 inf + 0
16.484 * * [simplify]: Extracting #1: cost 0 inf + 1
16.485 * [simplify]: Simplified to c
16.485 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt c))) (sqrt (+ (* c c) (* d d)))))
16.485 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* -1 c)))) (sqrt (+ (* c c) (* d d)))))>
16.485 * [simplify]: Simplifying (* -1 c)
16.485 * * [simplify]: iters left: 2 (3 enodes)
16.486 * * [simplify]: iters left: 1 (11 enodes)
16.488 * * [simplify]: Extracting #0: cost 1 inf + 0
16.488 * * [simplify]: Extracting #1: cost 4 inf + 0
16.488 * * [simplify]: Extracting #2: cost 0 inf + 84
16.488 * [simplify]: Simplified to (- c)
16.488 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (- c)))) (sqrt (+ (* c c) (* d d)))))
16.488 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.488 * [simplify]: Simplifying d
16.488 * * [simplify]: iters left: 0 (1 enodes)
16.488 * * [simplify]: Extracting #0: cost 1 inf + 0
16.488 * * [simplify]: Extracting #1: cost 0 inf + 1
16.488 * [simplify]: Simplified to d
16.488 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.488 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.489 * [simplify]: Simplifying c
16.489 * * [simplify]: iters left: 0 (1 enodes)
16.489 * * [simplify]: Extracting #0: cost 1 inf + 0
16.489 * * [simplify]: Extracting #1: cost 0 inf + 1
16.489 * [simplify]: Simplified to c
16.489 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.489 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (* -1 c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.489 * [simplify]: Simplifying (* -1 c)
16.489 * * [simplify]: iters left: 2 (3 enodes)
16.490 * * [simplify]: iters left: 1 (11 enodes)
16.492 * * [simplify]: Extracting #0: cost 1 inf + 0
16.492 * * [simplify]: Extracting #1: cost 4 inf + 0
16.492 * * [simplify]: Extracting #2: cost 0 inf + 84
16.492 * [simplify]: Simplified to (- c)
16.492 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (- c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.492 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt d) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.492 * [simplify]: Simplifying d
16.492 * * [simplify]: iters left: 0 (1 enodes)
16.493 * * [simplify]: Extracting #0: cost 1 inf + 0
16.493 * * [simplify]: Extracting #1: cost 0 inf + 1
16.493 * [simplify]: Simplified to d
16.493 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt d) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.493 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt c) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.493 * [simplify]: Simplifying c
16.493 * * [simplify]: iters left: 0 (1 enodes)
16.493 * * [simplify]: Extracting #0: cost 1 inf + 0
16.493 * * [simplify]: Extracting #1: cost 0 inf + 1
16.493 * [simplify]: Simplified to c
16.493 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt c) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.493 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (* -1 c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
16.493 * [simplify]: Simplifying (* -1 c)
16.493 * * [simplify]: iters left: 2 (3 enodes)
16.495 * * [simplify]: iters left: 1 (11 enodes)
16.496 * * [simplify]: Extracting #0: cost 1 inf + 0
16.496 * * [simplify]: Extracting #1: cost 4 inf + 0
16.496 * * [simplify]: Extracting #2: cost 0 inf + 84
16.496 * [simplify]: Simplified to (- c)
16.496 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (- c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
16.497 * * * [progress]: adding candidates to table
17.772 * [progress]: [Phase 3 of 3] Extracting.
17.772 * * [regime]: Finding splitpoints for: (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
17.777 * * * [regime-changes]: Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
17.777 * * * * [regimes]: Trying to branch on d from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
17.864 * * * * [regimes]: Trying to branch on b from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
17.946 * * * * [regimes]: Trying to branch on c from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
18.031 * * * * [regimes]: Trying to branch on a from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
18.146 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (* (* (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)))))> #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* 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) (/ (/ 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) (/ (/ (+ (* a c) (* b d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) c))>)
18.238 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>)
18.281 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
18.281 * [simplify]: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
18.281 * * [simplify]: iters left: 6 (13 enodes)
18.282 * * [simplify]: iters left: 5 (17 enodes)
18.283 * * [simplify]: Extracting #0: cost 1 inf + 0
18.283 * * [simplify]: Extracting #1: cost 3 inf + 0
18.283 * * [simplify]: Extracting #2: cost 5 inf + 0
18.283 * * [simplify]: Extracting #3: cost 9 inf + 0
18.283 * * [simplify]: Extracting #4: cost 13 inf + 0
18.284 * * [simplify]: Extracting #5: cost 5 inf + 250
18.284 * * [simplify]: Extracting #6: cost 1 inf + 902
18.284 * * [simplify]: Extracting #7: cost 0 inf + 1266
18.284 * [simplify]: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
21.165 * [regime-testing]: Baseline error score: 25.740845713992616
21.166 * [regime-testing]: Oracle error score: 23.098173626474015
21.169 * [regime-testing]: End program error score: 25.740845713992616
21.251 * [regime-testing]: Target error score: 0.5575709280841904