0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.036 * [progress]: [Phase 2 of 3] Improving.
0.036 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
0.036 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.036 * * [simplify]: iters left: 6 (11 enodes)
0.041 * * [simplify]: iters left: 5 (37 enodes)
0.051 * * [simplify]: Extracting #0: cost 1 inf + 0
0.051 * * [simplify]: Extracting #1: cost 4 inf + 0
0.051 * * [simplify]: Extracting #2: cost 10 inf + 0
0.051 * * [simplify]: Extracting #3: cost 18 inf + 0
0.051 * * [simplify]: Extracting #4: cost 9 inf + 291
0.051 * * [simplify]: Extracting #5: cost 1 inf + 1272
0.052 * * [simplify]: Extracting #6: cost 0 inf + 1396
0.052 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
0.052 * [simplify]: Simplified (2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
0.059 * * [progress]: iteration 1 / 4
0.059 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
0.064 * * * [progress]: localizing error
0.098 * * * [progress]: generating rewritten candidates
0.098 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.144 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.158 * * * [progress]: generating series expansions
0.158 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.158 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2)))
0.158 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0
0.158 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d
0.158 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.158 * [taylor]: Taking taylor expansion of (* a c) in d
0.158 * [taylor]: Taking taylor expansion of a in d
0.158 * [backup-simplify]: Simplify a into a
0.158 * [taylor]: Taking taylor expansion of c in d
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (* b d) in d
0.158 * [taylor]: Taking taylor expansion of b in d
0.158 * [backup-simplify]: Simplify b into b
0.158 * [taylor]: Taking taylor expansion of d in d
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
0.158 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.158 * [taylor]: Taking taylor expansion of c in d
0.158 * [backup-simplify]: Simplify c into c
0.158 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.158 * [taylor]: Taking taylor expansion of d in d
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (* a c) into (* a c)
0.158 * [backup-simplify]: Simplify (* b 0) into 0
0.158 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.159 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.159 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
0.159 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c)
0.159 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b
0.159 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.159 * [taylor]: Taking taylor expansion of (* a c) in b
0.159 * [taylor]: Taking taylor expansion of a in b
0.159 * [backup-simplify]: Simplify a into a
0.159 * [taylor]: Taking taylor expansion of c in b
0.159 * [backup-simplify]: Simplify c into c
0.159 * [taylor]: Taking taylor expansion of (* b d) in b
0.159 * [taylor]: Taking taylor expansion of b in b
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of d in b
0.159 * [backup-simplify]: Simplify d into d
0.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
0.159 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.159 * [taylor]: Taking taylor expansion of c in b
0.159 * [backup-simplify]: Simplify c into c
0.159 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.159 * [taylor]: Taking taylor expansion of d in b
0.159 * [backup-simplify]: Simplify d into d
0.159 * [backup-simplify]: Simplify (* a c) into (* a c)
0.159 * [backup-simplify]: Simplify (* 0 d) into 0
0.159 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c)
0.159 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.159 * [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
0.160 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.160 * [taylor]: Taking taylor expansion of c in c
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.160 * [taylor]: Taking taylor expansion of d in c
0.160 * [backup-simplify]: Simplify d into d
0.160 * [backup-simplify]: Simplify (* a 0) into 0
0.160 * [backup-simplify]: Simplify (* b d) into (* b d)
0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.160 * [backup-simplify]: Simplify (* 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)
0.160 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.160 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.160 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
0.161 * [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
0.161 * [backup-simplify]: Simplify (* b d) into (* b d)
0.161 * [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 (/ (* b d) (+ (pow c 2) (pow d 2))) in c
0.161 * [taylor]: Taking taylor expansion of (* b d) in c
0.161 * [taylor]: Taking taylor expansion of b in c
0.161 * [backup-simplify]: Simplify b into b
0.161 * [taylor]: Taking taylor expansion of d in c
0.161 * [backup-simplify]: Simplify d into d
0.161 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.161 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.161 * [taylor]: Taking taylor expansion of c in c
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.161 * [taylor]: Taking taylor expansion of d in c
0.161 * [backup-simplify]: Simplify d into d
0.161 * [backup-simplify]: Simplify (* b d) into (* b d)
0.162 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.162 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.162 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d)
0.162 * [taylor]: Taking taylor expansion of (/ b d) in b
0.162 * [taylor]: Taking taylor expansion of b in b
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [taylor]: Taking taylor expansion of d in b
0.162 * [backup-simplify]: Simplify d into d
0.162 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.162 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.162 * [backup-simplify]: Simplify (+ c 0) into c
0.162 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.162 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2)))
0.163 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c
0.163 * [taylor]: Taking taylor expansion of c in c
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
0.163 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.163 * [taylor]: Taking taylor expansion of c in c
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.163 * [taylor]: Taking taylor expansion of d in c
0.163 * [backup-simplify]: Simplify d into d
0.163 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.163 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
0.163 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.163 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.163 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in b
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [taylor]: Taking taylor expansion of 0 in d
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.164 * [taylor]: Taking taylor expansion of d in d
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.165 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.166 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [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
0.167 * [taylor]: Taking taylor expansion of 0 in c
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [taylor]: Taking taylor expansion of 0 in b
0.167 * [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 (pow d 2)) in b
0.167 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.167 * [taylor]: Taking taylor expansion of d in b
0.167 * [backup-simplify]: Simplify d into d
0.167 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.167 * [taylor]: Taking taylor expansion of (pow d 2) 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
0.168 * [backup-simplify]: Simplify (* 1 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.171 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3)))
0.171 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b
0.171 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b
0.171 * [taylor]: Taking taylor expansion of b in b
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [taylor]: Taking taylor expansion of (pow d 3) 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 (* d (pow d 2)) into (pow d 3)
0.171 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
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 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) 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 * [backup-simplify]: Simplify 0 into 0
0.172 * [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))))
0.172 * [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
0.172 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.172 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.172 * [taylor]: Taking taylor expansion of (* b d) in d
0.172 * [taylor]: Taking taylor expansion of b in d
0.172 * [backup-simplify]: Simplify b into b
0.172 * [taylor]: Taking taylor expansion of d in d
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (* b 0) into 0
0.172 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.172 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.172 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.172 * [taylor]: Taking taylor expansion of (* a c) in d
0.172 * [taylor]: Taking taylor expansion of a in d
0.172 * [backup-simplify]: Simplify a into a
0.172 * [taylor]: Taking taylor expansion of c in d
0.172 * [backup-simplify]: Simplify c into c
0.172 * [backup-simplify]: Simplify (* a c) into (* a c)
0.172 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.172 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.172 * [taylor]: Taking taylor expansion of c in d
0.172 * [backup-simplify]: Simplify c into c
0.173 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.173 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.173 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.173 * [taylor]: Taking taylor expansion of d in d
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 1 1) into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.173 * [backup-simplify]: Simplify (+ 0 1) into 1
0.173 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.174 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.174 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.174 * [taylor]: Taking taylor expansion of (* b d) in b
0.174 * [taylor]: Taking taylor expansion of b in b
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [taylor]: Taking taylor expansion of d in b
0.174 * [backup-simplify]: Simplify d into d
0.174 * [backup-simplify]: Simplify (* 0 d) into 0
0.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.174 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.174 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.174 * [taylor]: Taking taylor expansion of (* a c) in b
0.174 * [taylor]: Taking taylor expansion of a in b
0.174 * [backup-simplify]: Simplify a into a
0.174 * [taylor]: Taking taylor expansion of c in b
0.174 * [backup-simplify]: Simplify c into c
0.174 * [backup-simplify]: Simplify (* a c) into (* a c)
0.174 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.174 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.174 * [taylor]: Taking taylor expansion of c in b
0.174 * [backup-simplify]: Simplify c into c
0.174 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.174 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.174 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.174 * [taylor]: Taking taylor expansion of d in b
0.174 * [backup-simplify]: Simplify d into d
0.174 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.174 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.174 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
0.175 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.175 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.175 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.175 * [taylor]: Taking taylor expansion of (* b d) in c
0.175 * [taylor]: Taking taylor expansion of b in c
0.175 * [backup-simplify]: Simplify b into b
0.175 * [taylor]: Taking taylor expansion of d in c
0.175 * [backup-simplify]: Simplify d into d
0.175 * [backup-simplify]: Simplify (* b d) into (* b d)
0.175 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.175 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.175 * [taylor]: Taking taylor expansion of (* a c) in c
0.175 * [taylor]: Taking taylor expansion of a in c
0.175 * [backup-simplify]: Simplify a into a
0.175 * [taylor]: Taking taylor expansion of c in c
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (* a 0) into 0
0.175 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.175 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.175 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.175 * [taylor]: Taking taylor expansion of c in c
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.176 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.176 * [taylor]: Taking taylor expansion of d in c
0.176 * [backup-simplify]: Simplify d into d
0.176 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.176 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.176 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.177 * [taylor]: Taking taylor expansion of (* b d) in a
0.177 * [taylor]: Taking taylor expansion of b in a
0.177 * [backup-simplify]: Simplify b into b
0.177 * [taylor]: Taking taylor expansion of d in a
0.177 * [backup-simplify]: Simplify d into d
0.177 * [backup-simplify]: Simplify (* b d) into (* b d)
0.177 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.177 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.177 * [taylor]: Taking taylor expansion of (* a c) in a
0.177 * [taylor]: Taking taylor expansion of a in a
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [taylor]: Taking taylor expansion of c in a
0.177 * [backup-simplify]: Simplify c into c
0.177 * [backup-simplify]: Simplify (* 0 c) into 0
0.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.177 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.177 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.177 * [taylor]: Taking taylor expansion of c in a
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 a
0.177 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.177 * [taylor]: Taking taylor expansion of d in a
0.177 * [backup-simplify]: Simplify d into d
0.177 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.177 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.177 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.178 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.178 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.178 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.178 * [taylor]: Taking taylor expansion of (* b d) in a
0.178 * [taylor]: Taking taylor expansion of b in a
0.178 * [backup-simplify]: Simplify b into b
0.178 * [taylor]: Taking taylor expansion of d in a
0.178 * [backup-simplify]: Simplify d into d
0.178 * [backup-simplify]: Simplify (* b d) into (* b d)
0.178 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.178 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.178 * [taylor]: Taking taylor expansion of (* a c) in a
0.178 * [taylor]: Taking taylor expansion of a in a
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [taylor]: Taking taylor expansion of c in a
0.178 * [backup-simplify]: Simplify c into c
0.178 * [backup-simplify]: Simplify (* 0 c) into 0
0.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.178 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.178 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.178 * [taylor]: Taking taylor expansion of c in a
0.178 * [backup-simplify]: Simplify c into c
0.178 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.178 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.178 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.179 * [taylor]: Taking taylor expansion of d in a
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 (+ 0 (/ 1 c)) into (/ 1 c)
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 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.179 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.179 * [taylor]: Taking taylor expansion of (pow c 2) in c
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 (* 1 1) into 1
0.180 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.180 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.180 * [taylor]: Taking taylor expansion of d in c
0.180 * [backup-simplify]: Simplify d into d
0.180 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
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 0) into 1
0.180 * [backup-simplify]: Simplify (* 1 0) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [taylor]: Taking taylor expansion of 1 in b
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.183 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.183 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.183 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [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)))
0.184 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.184 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.184 * [taylor]: Taking taylor expansion of b in c
0.184 * [backup-simplify]: Simplify b into b
0.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) 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
0.185 * [taylor]: Taking taylor expansion of d in c
0.185 * [backup-simplify]: Simplify d into d
0.185 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.185 * [taylor]: Taking taylor expansion of d in c
0.185 * [backup-simplify]: Simplify d into d
0.185 * [backup-simplify]: Simplify (+ 1 0) into 1
0.185 * [backup-simplify]: Simplify (* 1 d) into d
0.185 * [backup-simplify]: Simplify (* b d) into (* b d)
0.185 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.189 * [taylor]: Taking taylor expansion of 0 in b
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 1 in d
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.193 * [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
0.194 * [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
0.196 * [backup-simplify]: Simplify (* 0 d) into 0
0.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.196 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.196 * [taylor]: Taking taylor expansion of (/ 1 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
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.203 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.203 * [taylor]: Taking taylor expansion of d in b
0.203 * [backup-simplify]: Simplify d into d
0.203 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.203 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.203 * [taylor]: Taking taylor expansion of 0 in d
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [taylor]: Taking taylor expansion of 0 in d
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.208 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [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
0.210 * [taylor]: Taking taylor expansion of 0 in c
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [taylor]: Taking taylor expansion of 0 in b
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [taylor]: Taking taylor expansion of 0 in b
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.213 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.213 * [taylor]: Taking taylor expansion of 0 in b
0.213 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.222 * [taylor]: Taking taylor expansion of 0 in b
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [taylor]: Taking taylor expansion of 0 in d
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [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))))
0.223 * [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
0.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.223 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.223 * [taylor]: Taking taylor expansion of (* b d) in d
0.223 * [taylor]: Taking taylor expansion of b in d
0.223 * [backup-simplify]: Simplify b into b
0.223 * [taylor]: Taking taylor expansion of d in d
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* b 0) into 0
0.224 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.224 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.224 * [taylor]: Taking taylor expansion of (* a c) in d
0.224 * [taylor]: Taking taylor expansion of a in d
0.224 * [backup-simplify]: Simplify a into a
0.224 * [taylor]: Taking taylor expansion of c in d
0.224 * [backup-simplify]: Simplify c into c
0.224 * [backup-simplify]: Simplify (* a c) into (* a c)
0.224 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
0.224 * [taylor]: Taking taylor expansion of (pow c 2) in d
0.224 * [taylor]: Taking taylor expansion of c in d
0.224 * [backup-simplify]: Simplify c into c
0.224 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.224 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
0.225 * [taylor]: Taking taylor expansion of (pow d 2) in d
0.225 * [taylor]: Taking taylor expansion of d in d
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [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 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b)
0.226 * [backup-simplify]: Simplify (+ 0 1) into 1
0.226 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b)
0.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.226 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.226 * [taylor]: Taking taylor expansion of (* b d) in b
0.226 * [taylor]: Taking taylor expansion of b in b
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [taylor]: Taking taylor expansion of d in b
0.226 * [backup-simplify]: Simplify d into d
0.226 * [backup-simplify]: Simplify (* 0 d) into 0
0.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.227 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.227 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.227 * [taylor]: Taking taylor expansion of (* a c) in b
0.227 * [taylor]: Taking taylor expansion of a in b
0.227 * [backup-simplify]: Simplify a into a
0.227 * [taylor]: Taking taylor expansion of c in b
0.227 * [backup-simplify]: Simplify c into c
0.227 * [backup-simplify]: Simplify (* a c) into (* a c)
0.227 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
0.227 * [taylor]: Taking taylor expansion of (pow c 2) in b
0.227 * [taylor]: Taking taylor expansion of c in b
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 b
0.227 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.227 * [taylor]: Taking taylor expansion of d in b
0.227 * [backup-simplify]: Simplify d into d
0.227 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.227 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.228 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d)
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 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.228 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.228 * [taylor]: Taking taylor expansion of (* b d) in c
0.228 * [taylor]: Taking taylor expansion of b in c
0.228 * [backup-simplify]: Simplify b into b
0.228 * [taylor]: Taking taylor expansion of d in c
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))
0.228 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.228 * [taylor]: Taking taylor expansion of (* a c) in c
0.228 * [taylor]: Taking taylor expansion of a in c
0.228 * [backup-simplify]: Simplify a into a
0.228 * [taylor]: Taking taylor expansion of c in c
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* a 0) into 0
0.229 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.229 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.229 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.229 * [taylor]: Taking taylor expansion of c in c
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.230 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.230 * [taylor]: Taking taylor expansion of d in c
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))
0.231 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a)
0.231 * [backup-simplify]: Simplify (+ 1 0) into 1
0.231 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a)
0.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.231 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.231 * [taylor]: Taking taylor expansion of (* b d) in a
0.231 * [taylor]: Taking taylor expansion of b in a
0.231 * [backup-simplify]: Simplify b into b
0.231 * [taylor]: Taking taylor expansion of d in a
0.231 * [backup-simplify]: Simplify d into d
0.231 * [backup-simplify]: Simplify (* b d) into (* b d)
0.231 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.231 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.231 * [taylor]: Taking taylor expansion of (* a c) in a
0.231 * [taylor]: Taking taylor expansion of a in a
0.231 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [taylor]: Taking taylor expansion of c in a
0.232 * [backup-simplify]: Simplify c into c
0.232 * [backup-simplify]: Simplify (* 0 c) into 0
0.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.232 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.232 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.232 * [taylor]: Taking taylor expansion of c in a
0.232 * [backup-simplify]: Simplify c into c
0.232 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.232 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.232 * [taylor]: Taking taylor expansion of d in a
0.232 * [backup-simplify]: Simplify d into d
0.233 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.233 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.233 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.233 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.233 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.233 * [taylor]: Taking taylor expansion of (* b d) in a
0.233 * [taylor]: Taking taylor expansion of b in a
0.233 * [backup-simplify]: Simplify b into b
0.233 * [taylor]: Taking taylor expansion of d in a
0.233 * [backup-simplify]: Simplify d into d
0.233 * [backup-simplify]: Simplify (* b d) into (* b d)
0.233 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.233 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.233 * [taylor]: Taking taylor expansion of (* a c) in a
0.233 * [taylor]: Taking taylor expansion of a in a
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of c in a
0.233 * [backup-simplify]: Simplify c into c
0.233 * [backup-simplify]: Simplify (* 0 c) into 0
0.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.234 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
0.234 * [taylor]: Taking taylor expansion of (pow c 2) in a
0.234 * [taylor]: Taking taylor expansion of c in a
0.234 * [backup-simplify]: Simplify c into c
0.234 * [backup-simplify]: Simplify (* c c) into (pow c 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
0.234 * [taylor]: Taking taylor expansion of (pow d 2) in a
0.234 * [taylor]: Taking taylor expansion of d in a
0.234 * [backup-simplify]: Simplify d into d
0.234 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.234 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.234 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
0.234 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
0.234 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c
0.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c
0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.234 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.234 * [taylor]: Taking taylor expansion of c in c
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.235 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.235 * [taylor]: Taking taylor expansion of d in c
0.235 * [backup-simplify]: Simplify d into d
0.235 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.235 * [taylor]: Taking taylor expansion of c in c
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [backup-simplify]: Simplify (* 1 0) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [taylor]: Taking taylor expansion of 1 in b
0.237 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.238 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.238 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [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)))
0.239 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c
0.239 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c
0.239 * [taylor]: Taking taylor expansion of b in c
0.239 * [backup-simplify]: Simplify b into b
0.239 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c
0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
0.239 * [taylor]: Taking taylor expansion of (pow c 2) in c
0.239 * [taylor]: Taking taylor expansion of c in c
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (* 1 1) into 1
0.240 * [backup-simplify]: Simplify (/ 1 1) into 1
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
0.240 * [taylor]: Taking taylor expansion of (pow d 2) in c
0.240 * [taylor]: Taking taylor expansion of d in c
0.240 * [backup-simplify]: Simplify d into d
0.240 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.240 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.240 * [taylor]: Taking taylor expansion of 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
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [taylor]: Taking taylor expansion of 0 in b
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [taylor]: Taking taylor expansion of 1 in d
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [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
0.245 * [taylor]: Taking taylor expansion of 0 in c
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [taylor]: Taking taylor expansion of 0 in b
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.246 * [taylor]: Taking taylor expansion of (* b d) in b
0.246 * [taylor]: Taking taylor expansion of b in b
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of d in b
0.246 * [backup-simplify]: Simplify d into d
0.246 * [backup-simplify]: Simplify (* 0 d) into 0
0.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.246 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.246 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.246 * [taylor]: Taking taylor expansion of d in d
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2))
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
0.250 * [taylor]: Taking taylor expansion of (pow d 2) in b
0.250 * [taylor]: Taking taylor expansion of d in b
0.250 * [backup-simplify]: Simplify d into d
0.250 * [backup-simplify]: Simplify (* d d) into (pow d 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
0.250 * [taylor]: Taking taylor expansion of 0 in d
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [taylor]: Taking taylor expansion of 0 in d
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
0.253 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [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
0.254 * [taylor]: Taking taylor expansion of 0 in c
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in b
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in b
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0
0.256 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in b
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in b
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [taylor]: Taking taylor expansion of 0 in d
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.260 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
0.260 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
0.260 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
0.260 * [taylor]: Taking taylor expansion of (* a c) in d
0.260 * [taylor]: Taking taylor expansion of a in d
0.260 * [backup-simplify]: Simplify a into a
0.260 * [taylor]: Taking taylor expansion of c in d
0.260 * [backup-simplify]: Simplify c into c
0.260 * [taylor]: Taking taylor expansion of (* b d) in d
0.260 * [taylor]: Taking taylor expansion of b in d
0.260 * [backup-simplify]: Simplify b into b
0.260 * [taylor]: Taking taylor expansion of d in d
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
0.260 * [taylor]: Taking taylor expansion of (* a c) in b
0.260 * [taylor]: Taking taylor expansion of a in b
0.260 * [backup-simplify]: Simplify a into a
0.260 * [taylor]: Taking taylor expansion of c in b
0.260 * [backup-simplify]: Simplify c into c
0.260 * [taylor]: Taking taylor expansion of (* b d) in b
0.260 * [taylor]: Taking taylor expansion of b in b
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of d in b
0.260 * [backup-simplify]: Simplify d into d
0.260 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
0.260 * [taylor]: Taking taylor expansion of (* a c) in c
0.260 * [taylor]: Taking taylor expansion of a in c
0.260 * [backup-simplify]: Simplify a into a
0.260 * [taylor]: Taking taylor expansion of c in c
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of (* b d) in c
0.260 * [taylor]: Taking taylor expansion of b in c
0.260 * [backup-simplify]: Simplify b into b
0.260 * [taylor]: Taking taylor expansion of d in c
0.260 * [backup-simplify]: Simplify d into d
0.260 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.260 * [taylor]: Taking taylor expansion of (* a c) in a
0.260 * [taylor]: Taking taylor expansion of a in a
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of c in a
0.260 * [backup-simplify]: Simplify c into c
0.260 * [taylor]: Taking taylor expansion of (* b d) in a
0.260 * [taylor]: Taking taylor expansion of b in a
0.260 * [backup-simplify]: Simplify b into b
0.260 * [taylor]: Taking taylor expansion of d in a
0.260 * [backup-simplify]: Simplify d into d
0.260 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
0.260 * [taylor]: Taking taylor expansion of (* a c) in a
0.260 * [taylor]: Taking taylor expansion of a in a
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of c in a
0.260 * [backup-simplify]: Simplify c into c
0.260 * [taylor]: Taking taylor expansion of (* b d) in a
0.260 * [taylor]: Taking taylor expansion of b in a
0.260 * [backup-simplify]: Simplify b into b
0.260 * [taylor]: Taking taylor expansion of d in a
0.260 * [backup-simplify]: Simplify d into d
0.261 * [backup-simplify]: Simplify (* 0 c) into 0
0.261 * [backup-simplify]: Simplify (* b d) into (* b d)
0.261 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
0.261 * [taylor]: Taking taylor expansion of (* b d) in c
0.261 * [taylor]: Taking taylor expansion of b in c
0.261 * [backup-simplify]: Simplify b into b
0.261 * [taylor]: Taking taylor expansion of d in c
0.261 * [backup-simplify]: Simplify d into d
0.261 * [backup-simplify]: Simplify (* b d) into (* b d)
0.261 * [taylor]: Taking taylor expansion of (* b d) in b
0.261 * [taylor]: Taking taylor expansion of b in b
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of d in b
0.261 * [backup-simplify]: Simplify d into d
0.261 * [backup-simplify]: Simplify (* 0 d) 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
0.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.262 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.262 * [backup-simplify]: Simplify (+ c 0) into c
0.262 * [taylor]: Taking taylor expansion of c in c
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of 0 in b
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of 0 in d
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in b
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of 0 in d
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.263 * [taylor]: Taking taylor expansion of d in d
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.264 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in c
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [taylor]: Taking taylor expansion of 0 in b
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [taylor]: Taking taylor expansion of 0 in d
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.265 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.265 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.265 * [taylor]: Taking taylor expansion of (* b d) in d
0.265 * [taylor]: Taking taylor expansion of b in d
0.265 * [backup-simplify]: Simplify b into b
0.265 * [taylor]: Taking taylor expansion of d in d
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* b 0) into 0
0.266 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.266 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.266 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.266 * [taylor]: Taking taylor expansion of (* a c) in d
0.266 * [taylor]: Taking taylor expansion of a in d
0.266 * [backup-simplify]: Simplify a into a
0.266 * [taylor]: Taking taylor expansion of c in d
0.266 * [backup-simplify]: Simplify c into c
0.266 * [backup-simplify]: Simplify (* a c) into (* a c)
0.266 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.266 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.266 * [taylor]: Taking taylor expansion of (* b d) in b
0.266 * [taylor]: Taking taylor expansion of b in b
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [taylor]: Taking taylor expansion of d in b
0.266 * [backup-simplify]: Simplify d into d
0.266 * [backup-simplify]: Simplify (* 0 d) into 0
0.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.267 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.267 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.267 * [taylor]: Taking taylor expansion of (* a c) in b
0.267 * [taylor]: Taking taylor expansion of a in b
0.267 * [backup-simplify]: Simplify a into a
0.267 * [taylor]: Taking taylor expansion of c in b
0.267 * [backup-simplify]: Simplify c into c
0.267 * [backup-simplify]: Simplify (* a c) into (* a c)
0.267 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.267 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.267 * [taylor]: Taking taylor expansion of (* b d) in c
0.267 * [taylor]: Taking taylor expansion of b in c
0.267 * [backup-simplify]: Simplify b into b
0.267 * [taylor]: Taking taylor expansion of d in c
0.267 * [backup-simplify]: Simplify d into d
0.267 * [backup-simplify]: Simplify (* b d) into (* b d)
0.267 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.267 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.267 * [taylor]: Taking taylor expansion of (* a c) in c
0.267 * [taylor]: Taking taylor expansion of a in c
0.267 * [backup-simplify]: Simplify a into a
0.267 * [taylor]: Taking taylor expansion of c in c
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* a 0) into 0
0.268 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.268 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.268 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.268 * [taylor]: Taking taylor expansion of (* b d) in a
0.268 * [taylor]: Taking taylor expansion of b in a
0.268 * [backup-simplify]: Simplify b into b
0.268 * [taylor]: Taking taylor expansion of d in a
0.268 * [backup-simplify]: Simplify d into d
0.268 * [backup-simplify]: Simplify (* b d) into (* b d)
0.268 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.268 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.268 * [taylor]: Taking taylor expansion of (* a c) in a
0.268 * [taylor]: Taking taylor expansion of a in a
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of c in a
0.268 * [backup-simplify]: Simplify c into c
0.268 * [backup-simplify]: Simplify (* 0 c) into 0
0.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.269 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.269 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.269 * [taylor]: Taking taylor expansion of (* b d) in a
0.269 * [taylor]: Taking taylor expansion of b in a
0.269 * [backup-simplify]: Simplify b into b
0.269 * [taylor]: Taking taylor expansion of d in a
0.269 * [backup-simplify]: Simplify d into d
0.269 * [backup-simplify]: Simplify (* b d) into (* b d)
0.269 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.269 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.269 * [taylor]: Taking taylor expansion of (* a c) in a
0.269 * [taylor]: Taking taylor expansion of a in a
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of c in a
0.269 * [backup-simplify]: Simplify c into c
0.269 * [backup-simplify]: Simplify (* 0 c) into 0
0.270 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.270 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.270 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.270 * [taylor]: Taking taylor expansion of c in c
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of 1 in b
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.272 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.272 * [taylor]: Taking taylor expansion of (* b d) in c
0.272 * [taylor]: Taking taylor expansion of b in c
0.272 * [backup-simplify]: Simplify b into b
0.272 * [taylor]: Taking taylor expansion of d in c
0.272 * [backup-simplify]: Simplify d into d
0.272 * [backup-simplify]: Simplify (* b d) into (* b d)
0.272 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.273 * [taylor]: Taking taylor expansion of 0 in b
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [taylor]: Taking taylor expansion of 1 in d
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in c
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.275 * [taylor]: Taking taylor expansion of (* b d) in b
0.275 * [taylor]: Taking taylor expansion of b in b
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of d in b
0.275 * [backup-simplify]: Simplify d into d
0.275 * [backup-simplify]: Simplify (* 0 d) into 0
0.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.275 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.276 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.276 * [taylor]: Taking taylor expansion of d in d
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 * [taylor]: Taking taylor expansion of 0 in d
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in c
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in b
0.280 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.281 * [taylor]: Taking taylor expansion of 0 in b
0.281 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [taylor]: Taking taylor expansion of 0 in b
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in d
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 * [taylor]: Taking taylor expansion of 0 in d
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
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in c
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [taylor]: Taking taylor expansion of 0 in b
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [taylor]: Taking taylor expansion of 0 in b
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in b
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in b
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in d
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in d
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in d
0.290 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
0.291 * [taylor]: Taking taylor expansion of 0 in d
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [taylor]: Taking taylor expansion of 0 in d
0.291 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in d
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [taylor]: Taking taylor expansion of 0 in d
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [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))
0.293 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
0.293 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
0.293 * [taylor]: Taking taylor expansion of (* b d) in d
0.293 * [taylor]: Taking taylor expansion of b in d
0.293 * [backup-simplify]: Simplify b into b
0.293 * [taylor]: Taking taylor expansion of d in d
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* b 0) into 0
0.293 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
0.293 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
0.293 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
0.293 * [taylor]: Taking taylor expansion of (* a c) in d
0.293 * [taylor]: Taking taylor expansion of a in d
0.293 * [backup-simplify]: Simplify a into a
0.293 * [taylor]: Taking taylor expansion of c in d
0.293 * [backup-simplify]: Simplify c into c
0.293 * [backup-simplify]: Simplify (* a c) into (* a c)
0.293 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
0.293 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.293 * [taylor]: Taking taylor expansion of (* b d) in b
0.293 * [taylor]: Taking taylor expansion of b in b
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [taylor]: Taking taylor expansion of d in b
0.293 * [backup-simplify]: Simplify d into d
0.293 * [backup-simplify]: Simplify (* 0 d) into 0
0.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.294 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.294 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
0.294 * [taylor]: Taking taylor expansion of (* a c) in b
0.294 * [taylor]: Taking taylor expansion of a in b
0.294 * [backup-simplify]: Simplify a into a
0.294 * [taylor]: Taking taylor expansion of c in b
0.294 * [backup-simplify]: Simplify c into c
0.294 * [backup-simplify]: Simplify (* a c) into (* a c)
0.294 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
0.294 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.294 * [taylor]: Taking taylor expansion of (* b d) in c
0.294 * [taylor]: Taking taylor expansion of b in c
0.294 * [backup-simplify]: Simplify b into b
0.294 * [taylor]: Taking taylor expansion of d in c
0.294 * [backup-simplify]: Simplify d into d
0.294 * [backup-simplify]: Simplify (* b d) into (* b d)
0.294 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.294 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
0.294 * [taylor]: Taking taylor expansion of (* a c) in c
0.294 * [taylor]: Taking taylor expansion of a in c
0.294 * [backup-simplify]: Simplify a into a
0.294 * [taylor]: Taking taylor expansion of c in c
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (* a 0) into 0
0.294 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
0.295 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.295 * [taylor]: Taking taylor expansion of (* b d) in a
0.295 * [taylor]: Taking taylor expansion of b in a
0.295 * [backup-simplify]: Simplify b into b
0.295 * [taylor]: Taking taylor expansion of d in a
0.295 * [backup-simplify]: Simplify d into d
0.295 * [backup-simplify]: Simplify (* b d) into (* b d)
0.295 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.295 * [taylor]: Taking taylor expansion of (* a c) in a
0.295 * [taylor]: Taking taylor expansion of a in a
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of c in a
0.295 * [backup-simplify]: Simplify c into c
0.295 * [backup-simplify]: Simplify (* 0 c) into 0
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.295 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
0.295 * [taylor]: Taking taylor expansion of (* b d) in a
0.295 * [taylor]: Taking taylor expansion of b in a
0.295 * [backup-simplify]: Simplify b into b
0.295 * [taylor]: Taking taylor expansion of d in a
0.295 * [backup-simplify]: Simplify d into d
0.295 * [backup-simplify]: Simplify (* b d) into (* b d)
0.295 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
0.295 * [taylor]: Taking taylor expansion of (* a c) in a
0.295 * [taylor]: Taking taylor expansion of a in a
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of c in a
0.295 * [backup-simplify]: Simplify c into c
0.295 * [backup-simplify]: Simplify (* 0 c) into 0
0.296 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
0.296 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
0.296 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
0.296 * [taylor]: Taking taylor expansion of (/ 1 c) in c
0.296 * [taylor]: Taking taylor expansion of c in c
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of 1 in b
0.296 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
0.297 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
0.297 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
0.297 * [taylor]: Taking taylor expansion of (* b d) in c
0.297 * [taylor]: Taking taylor expansion of b in c
0.297 * [backup-simplify]: Simplify b into b
0.297 * [taylor]: Taking taylor expansion of d in c
0.297 * [backup-simplify]: Simplify d into d
0.297 * [backup-simplify]: Simplify (* b d) into (* b d)
0.297 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in b
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 1 in d
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [taylor]: Taking taylor expansion of 0 in c
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
0.299 * [taylor]: Taking taylor expansion of (* b d) in b
0.299 * [taylor]: Taking taylor expansion of b in b
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of d in b
0.299 * [backup-simplify]: Simplify d into d
0.299 * [backup-simplify]: Simplify (* 0 d) into 0
0.299 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
0.299 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
0.299 * [taylor]: Taking taylor expansion of (/ 1 d) in d
0.299 * [taylor]: Taking taylor expansion of d in d
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in b
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [taylor]: Taking taylor expansion of 0 in d
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [taylor]: Taking taylor expansion of 0 in d
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in c
0.302 * [backup-simplify]: Simplify 0 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 (+ (* b 0) (* 0 d)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
0.302 * [taylor]: Taking taylor expansion of 0 in b
0.302 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in b
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in d
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [taylor]: Taking taylor expansion of 0 in d
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [taylor]: Taking taylor expansion of 0 in d
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [taylor]: Taking taylor expansion of 0 in d
0.304 * [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
0.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
0.306 * [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
0.307 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in b
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in d
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in d
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [taylor]: Taking taylor expansion of 0 in d
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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
0.309 * [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 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [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))
0.310 * * * [progress]: simplifying candidates
0.310 * * * * [progress]: [ 1 / 50 ] simplifiying candidate #<alt (λ (a b c d) (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 1))>
0.310 * * * * [progress]: [ 2 / 50 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))))>
0.310 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))
0.310 * * [simplify]: iters left: 6 (13 enodes)
0.312 * * [simplify]: iters left: 5 (45 enodes)
0.318 * * [simplify]: iters left: 4 (48 enodes)
0.328 * * [simplify]: Extracting #0: cost 1 inf + 0
0.328 * * [simplify]: Extracting #1: cost 5 inf + 0
0.328 * * [simplify]: Extracting #2: cost 10 inf + 0
0.328 * * [simplify]: Extracting #3: cost 16 inf + 0
0.328 * * [simplify]: Extracting #4: cost 24 inf + 0
0.328 * * [simplify]: Extracting #5: cost 18 inf + 87
0.328 * * [simplify]: Extracting #6: cost 11 inf + 613
0.329 * * [simplify]: Extracting #7: cost 4 inf + 1942
0.330 * * [simplify]: Extracting #8: cost 0 inf + 2912
0.331 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))
0.331 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))))
0.331 * * * * [progress]: [ 3 / 50 ] simplifiying candidate #<alt (λ (a b c d) (exp (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
0.331 * * * * [progress]: [ 4 / 50 ] simplifiying candidate #<alt (λ (a b c d) (log (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
0.331 * * * * [progress]: [ 5 / 50 ] 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))))))>
0.332 * [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))))
0.332 * * [simplify]: iters left: 6 (15 enodes)
0.341 * * [simplify]: iters left: 5 (82 enodes)
0.370 * * [simplify]: iters left: 4 (310 enodes)
0.496 * * [simplify]: Extracting #0: cost 1 inf + 0
0.496 * * [simplify]: Extracting #1: cost 30 inf + 0
0.496 * * [simplify]: Extracting #2: cost 102 inf + 1
0.497 * * [simplify]: Extracting #3: cost 273 inf + 1
0.504 * * [simplify]: Extracting #4: cost 211 inf + 14207
0.521 * * [simplify]: Extracting #5: cost 31 inf + 51597
0.536 * * [simplify]: Extracting #6: cost 0 inf + 58414
0.550 * * [simplify]: Extracting #7: cost 0 inf + 58334
0.572 * [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))))
0.572 * [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))))))
0.572 * * * * [progress]: [ 6 / 50 ] 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))))))>
0.572 * * * * [progress]: [ 7 / 50 ] 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))))))>
0.572 * * * * [progress]: [ 8 / 50 ] 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))))))>
0.572 * * * * [progress]: [ 9 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (+ (* a c) (* b d))) (- (+ (* c c) (* d d)))))>
0.572 * * * * [progress]: [ 10 / 50 ] 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))))))>
0.572 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.573 * * [simplify]: iters left: 6 (15 enodes)
0.576 * * [simplify]: iters left: 5 (55 enodes)
0.583 * * [simplify]: iters left: 4 (70 enodes)
0.592 * * [simplify]: iters left: 3 (77 enodes)
0.609 * * [simplify]: iters left: 2 (80 enodes)
0.630 * * [simplify]: Extracting #0: cost 1 inf + 0
0.630 * * [simplify]: Extracting #1: cost 11 inf + 0
0.630 * * [simplify]: Extracting #2: cost 22 inf + 0
0.630 * * [simplify]: Extracting #3: cost 28 inf + 0
0.630 * * [simplify]: Extracting #4: cost 36 inf + 0
0.631 * * [simplify]: Extracting #5: cost 28 inf + 170
0.631 * * [simplify]: Extracting #6: cost 13 inf + 2650
0.634 * * [simplify]: Extracting #7: cost 2 inf + 7452
0.636 * * [simplify]: Extracting #8: cost 0 inf + 8260
0.639 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))))
0.639 * [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))))))
0.640 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
0.640 * * [simplify]: iters left: 6 (13 enodes)
0.645 * * [simplify]: iters left: 5 (43 enodes)
0.656 * * [simplify]: Extracting #0: cost 1 inf + 0
0.656 * * [simplify]: Extracting #1: cost 4 inf + 0
0.657 * * [simplify]: Extracting #2: cost 8 inf + 0
0.657 * * [simplify]: Extracting #3: cost 14 inf + 0
0.657 * * [simplify]: Extracting #4: cost 22 inf + 0
0.657 * * [simplify]: Extracting #5: cost 17 inf + 45
0.657 * * [simplify]: Extracting #6: cost 10 inf + 577
0.657 * * [simplify]: Extracting #7: cost 4 inf + 1312
0.658 * * [simplify]: Extracting #8: cost 1 inf + 2084
0.659 * * [simplify]: Extracting #9: cost 0 inf + 2528
0.660 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
0.660 * [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))))))
0.660 * * * * [progress]: [ 11 / 50 ] 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))))))>
0.660 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))
0.660 * * [simplify]: iters left: 6 (14 enodes)
0.666 * * [simplify]: iters left: 5 (48 enodes)
0.675 * * [simplify]: iters left: 4 (52 enodes)
0.682 * * [simplify]: iters left: 3 (55 enodes)
0.689 * * [simplify]: Extracting #0: cost 1 inf + 0
0.689 * * [simplify]: Extracting #1: cost 7 inf + 0
0.689 * * [simplify]: Extracting #2: cost 14 inf + 0
0.689 * * [simplify]: Extracting #3: cost 20 inf + 0
0.689 * * [simplify]: Extracting #4: cost 28 inf + 0
0.689 * * [simplify]: Extracting #5: cost 21 inf + 129
0.689 * * [simplify]: Extracting #6: cost 7 inf + 2086
0.690 * * [simplify]: Extracting #7: cost 0 inf + 4552
0.691 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c))))
0.691 * [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))))))
0.691 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.691 * * [simplify]: iters left: 6 (13 enodes)
0.694 * * [simplify]: iters left: 5 (43 enodes)
0.699 * * [simplify]: Extracting #0: cost 1 inf + 0
0.699 * * [simplify]: Extracting #1: cost 4 inf + 0
0.699 * * [simplify]: Extracting #2: cost 8 inf + 0
0.699 * * [simplify]: Extracting #3: cost 14 inf + 0
0.699 * * [simplify]: Extracting #4: cost 22 inf + 0
0.699 * * [simplify]: Extracting #5: cost 17 inf + 45
0.699 * * [simplify]: Extracting #6: cost 10 inf + 537
0.700 * * [simplify]: Extracting #7: cost 4 inf + 1232
0.700 * * [simplify]: Extracting #8: cost 1 inf + 1964
0.700 * * [simplify]: Extracting #9: cost 0 inf + 2368
0.701 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.701 * [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))))))
0.701 * * * * [progress]: [ 12 / 50 ] 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)))))>
0.701 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
0.701 * * [simplify]: iters left: 6 (11 enodes)
0.704 * * [simplify]: iters left: 5 (38 enodes)
0.715 * * [simplify]: iters left: 4 (48 enodes)
0.728 * * [simplify]: iters left: 3 (49 enodes)
0.741 * * [simplify]: Extracting #0: cost 1 inf + 0
0.741 * * [simplify]: Extracting #1: cost 5 inf + 0
0.741 * * [simplify]: Extracting #2: cost 7 inf + 1
0.741 * * [simplify]: Extracting #3: cost 10 inf + 1
0.741 * * [simplify]: Extracting #4: cost 16 inf + 1
0.741 * * [simplify]: Extracting #5: cost 11 inf + 47
0.741 * * [simplify]: Extracting #6: cost 5 inf + 828
0.742 * * [simplify]: Extracting #7: cost 0 inf + 1807
0.743 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
0.743 * [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)))))
0.744 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
0.744 * * [simplify]: iters left: 6 (12 enodes)
0.749 * * [simplify]: iters left: 5 (40 enodes)
0.759 * * [simplify]: Extracting #0: cost 1 inf + 0
0.760 * * [simplify]: Extracting #1: cost 4 inf + 0
0.760 * * [simplify]: Extracting #2: cost 9 inf + 0
0.760 * * [simplify]: Extracting #3: cost 16 inf + 0
0.760 * * [simplify]: Extracting #4: cost 16 inf + 84
0.760 * * [simplify]: Extracting #5: cost 7 inf + 538
0.761 * * [simplify]: Extracting #6: cost 0 inf + 1964
0.761 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
0.761 * [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)))))
0.762 * * * * [progress]: [ 13 / 50 ] 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))))))>
0.762 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.762 * * [simplify]: iters left: 6 (14 enodes)
0.768 * * [simplify]: iters left: 5 (48 enodes)
0.774 * * [simplify]: iters left: 4 (50 enodes)
0.781 * * [simplify]: Extracting #0: cost 1 inf + 0
0.781 * * [simplify]: Extracting #1: cost 6 inf + 0
0.781 * * [simplify]: Extracting #2: cost 12 inf + 0
0.781 * * [simplify]: Extracting #3: cost 18 inf + 0
0.781 * * [simplify]: Extracting #4: cost 26 inf + 0
0.781 * * [simplify]: Extracting #5: cost 19 inf + 129
0.781 * * [simplify]: Extracting #6: cost 11 inf + 871
0.781 * * [simplify]: Extracting #7: cost 4 inf + 2246
0.782 * * [simplify]: Extracting #8: cost 0 inf + 3740
0.783 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.783 * [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))))))
0.783 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
0.783 * * [simplify]: iters left: 6 (13 enodes)
0.786 * * [simplify]: iters left: 5 (43 enodes)
0.791 * * [simplify]: Extracting #0: cost 1 inf + 0
0.791 * * [simplify]: Extracting #1: cost 4 inf + 0
0.791 * * [simplify]: Extracting #2: cost 8 inf + 0
0.791 * * [simplify]: Extracting #3: cost 14 inf + 0
0.791 * * [simplify]: Extracting #4: cost 22 inf + 0
0.791 * * [simplify]: Extracting #5: cost 17 inf + 45
0.791 * * [simplify]: Extracting #6: cost 10 inf + 577
0.792 * * [simplify]: Extracting #7: cost 4 inf + 1272
0.792 * * [simplify]: Extracting #8: cost 1 inf + 1964
0.792 * * [simplify]: Extracting #9: cost 0 inf + 2368
0.793 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
0.793 * [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))))))
0.793 * * * * [progress]: [ 14 / 50 ] 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))))))>
0.793 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.793 * * [simplify]: iters left: 6 (13 enodes)
0.796 * * [simplify]: iters left: 5 (43 enodes)
0.806 * * [simplify]: Extracting #0: cost 1 inf + 0
0.806 * * [simplify]: Extracting #1: cost 4 inf + 0
0.806 * * [simplify]: Extracting #2: cost 8 inf + 0
0.806 * * [simplify]: Extracting #3: cost 14 inf + 0
0.806 * * [simplify]: Extracting #4: cost 22 inf + 0
0.806 * * [simplify]: Extracting #5: cost 17 inf + 45
0.807 * * [simplify]: Extracting #6: cost 10 inf + 537
0.807 * * [simplify]: Extracting #7: cost 4 inf + 1192
0.808 * * [simplify]: Extracting #8: cost 1 inf + 1844
0.808 * * [simplify]: Extracting #9: cost 0 inf + 2208
0.809 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.809 * [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))))))
0.810 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
0.810 * * [simplify]: iters left: 6 (13 enodes)
0.815 * * [simplify]: iters left: 5 (43 enodes)
0.828 * * [simplify]: Extracting #0: cost 1 inf + 0
0.828 * * [simplify]: Extracting #1: cost 4 inf + 0
0.828 * * [simplify]: Extracting #2: cost 8 inf + 0
0.828 * * [simplify]: Extracting #3: cost 14 inf + 0
0.828 * * [simplify]: Extracting #4: cost 22 inf + 0
0.828 * * [simplify]: Extracting #5: cost 17 inf + 45
0.828 * * [simplify]: Extracting #6: cost 10 inf + 537
0.829 * * [simplify]: Extracting #7: cost 4 inf + 1192
0.829 * * [simplify]: Extracting #8: cost 1 inf + 1844
0.830 * * [simplify]: Extracting #9: cost 0 inf + 2208
0.831 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
0.831 * [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))))))
0.831 * * * * [progress]: [ 15 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))>
0.831 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1)
0.832 * * [simplify]: iters left: 6 (10 enodes)
0.837 * * [simplify]: iters left: 5 (33 enodes)
0.846 * * [simplify]: iters left: 4 (35 enodes)
0.855 * * [simplify]: Extracting #0: cost 1 inf + 0
0.855 * * [simplify]: Extracting #1: cost 4 inf + 0
0.855 * * [simplify]: Extracting #2: cost 6 inf + 1
0.855 * * [simplify]: Extracting #3: cost 12 inf + 1
0.856 * * [simplify]: Extracting #4: cost 7 inf + 47
0.856 * * [simplify]: Extracting #5: cost 0 inf + 749
0.856 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
0.856 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
0.857 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
0.857 * * [simplify]: iters left: 6 (12 enodes)
0.862 * * [simplify]: iters left: 5 (40 enodes)
0.870 * * [simplify]: Extracting #0: cost 1 inf + 0
0.870 * * [simplify]: Extracting #1: cost 4 inf + 0
0.870 * * [simplify]: Extracting #2: cost 9 inf + 0
0.870 * * [simplify]: Extracting #3: cost 16 inf + 0
0.871 * * [simplify]: Extracting #4: cost 16 inf + 84
0.871 * * [simplify]: Extracting #5: cost 7 inf + 538
0.871 * * [simplify]: Extracting #6: cost 0 inf + 1804
0.871 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
0.871 * [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)))))
0.871 * * * * [progress]: [ 16 / 50 ] 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))))))>
0.872 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
0.872 * * [simplify]: iters left: 6 (9 enodes)
0.874 * * [simplify]: iters left: 5 (32 enodes)
0.879 * * [simplify]: iters left: 4 (36 enodes)
0.884 * * [simplify]: Extracting #0: cost 1 inf + 0
0.884 * * [simplify]: Extracting #1: cost 6 inf + 0
0.884 * * [simplify]: Extracting #2: cost 9 inf + 1
0.884 * * [simplify]: Extracting #3: cost 12 inf + 1
0.884 * * [simplify]: Extracting #4: cost 16 inf + 1
0.884 * * [simplify]: Extracting #5: cost 14 inf + 3
0.884 * * [simplify]: Extracting #6: cost 10 inf + 248
0.884 * * [simplify]: Extracting #7: cost 3 inf + 1543
0.885 * * [simplify]: Extracting #8: cost 0 inf + 2351
0.885 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))
0.885 * [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))))))
0.885 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))
0.885 * * [simplify]: iters left: 6 (12 enodes)
0.888 * * [simplify]: iters left: 5 (40 enodes)
0.893 * * [simplify]: Extracting #0: cost 1 inf + 0
0.893 * * [simplify]: Extracting #1: cost 4 inf + 0
0.893 * * [simplify]: Extracting #2: cost 9 inf + 0
0.893 * * [simplify]: Extracting #3: cost 18 inf + 0
0.893 * * [simplify]: Extracting #4: cost 11 inf + 372
0.893 * * [simplify]: Extracting #5: cost 1 inf + 1596
0.894 * * [simplify]: Extracting #6: cost 0 inf + 1960
0.894 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d))))
0.894 * [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))))))
0.894 * * * * [progress]: [ 17 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
0.894 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
0.894 * * [simplify]: iters left: 6 (8 enodes)
0.896 * * [simplify]: iters left: 5 (27 enodes)
0.901 * * [simplify]: iters left: 4 (29 enodes)
0.905 * * [simplify]: Extracting #0: cost 1 inf + 0
0.905 * * [simplify]: Extracting #1: cost 4 inf + 0
0.905 * * [simplify]: Extracting #2: cost 5 inf + 1
0.905 * * [simplify]: Extracting #3: cost 8 inf + 1
0.905 * * [simplify]: Extracting #4: cost 12 inf + 1
0.905 * * [simplify]: Extracting #5: cost 10 inf + 3
0.905 * * [simplify]: Extracting #6: cost 5 inf + 289
0.905 * * [simplify]: Extracting #7: cost 1 inf + 938
0.905 * * [simplify]: Extracting #8: cost 0 inf + 1141
0.906 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
0.906 * [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))))))
0.906 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
0.906 * * [simplify]: iters left: 6 (12 enodes)
0.908 * * [simplify]: iters left: 5 (40 enodes)
0.914 * * [simplify]: Extracting #0: cost 1 inf + 0
0.914 * * [simplify]: Extracting #1: cost 4 inf + 0
0.914 * * [simplify]: Extracting #2: cost 9 inf + 0
0.914 * * [simplify]: Extracting #3: cost 18 inf + 0
0.914 * * [simplify]: Extracting #4: cost 11 inf + 372
0.914 * * [simplify]: Extracting #5: cost 1 inf + 1476
0.914 * * [simplify]: Extracting #6: cost 0 inf + 1800
0.915 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
0.915 * [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))))))
0.915 * * * * [progress]: [ 18 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 1) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>
0.915 * [simplify]: Simplifying (/ 1 1)
0.915 * * [simplify]: iters left: 2 (2 enodes)
0.916 * * [simplify]: iters left: 1 (6 enodes)
0.917 * * [simplify]: Extracting #0: cost 1 inf + 0
0.917 * * [simplify]: Extracting #1: cost 0 inf + 1
0.917 * [simplify]: Simplified to 1
0.917 * [simplify]: Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
0.917 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.918 * * [simplify]: iters left: 6 (11 enodes)
0.920 * * [simplify]: iters left: 5 (37 enodes)
0.925 * * [simplify]: Extracting #0: cost 1 inf + 0
0.925 * * [simplify]: Extracting #1: cost 4 inf + 0
0.925 * * [simplify]: Extracting #2: cost 10 inf + 0
0.926 * * [simplify]: Extracting #3: cost 18 inf + 0
0.926 * * [simplify]: Extracting #4: cost 9 inf + 291
0.926 * * [simplify]: Extracting #5: cost 1 inf + 1272
0.926 * * [simplify]: Extracting #6: cost 0 inf + 1396
0.926 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
0.926 * [simplify]: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))
0.927 * * * * [progress]: [ 19 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))>
0.927 * * * * [progress]: [ 20 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))>
0.927 * * * * [progress]: [ 21 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))>
0.927 * * * * [progress]: [ 22 / 50 ] 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)))))>
0.927 * [simplify]: Simplifying (cbrt (+ (* c c) (* d d)))
0.927 * * [simplify]: iters left: 5 (6 enodes)
0.928 * * [simplify]: iters left: 4 (19 enodes)
0.933 * * [simplify]: Extracting #0: cost 1 inf + 0
0.933 * * [simplify]: Extracting #1: cost 3 inf + 0
0.933 * * [simplify]: Extracting #2: cost 6 inf + 0
0.933 * * [simplify]: Extracting #3: cost 10 inf + 0
0.933 * * [simplify]: Extracting #4: cost 6 inf + 84
0.933 * * [simplify]: Extracting #5: cost 0 inf + 814
0.934 * [simplify]: Simplified to (cbrt (+ (* c c) (* d d)))
0.934 * [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)))))
0.934 * * * * [progress]: [ 23 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
0.934 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
0.934 * * [simplify]: iters left: 5 (6 enodes)
0.937 * * [simplify]: iters left: 4 (19 enodes)
0.942 * * [simplify]: Extracting #0: cost 1 inf + 0
0.942 * * [simplify]: Extracting #1: cost 3 inf + 0
0.942 * * [simplify]: Extracting #2: cost 6 inf + 0
0.942 * * [simplify]: Extracting #3: cost 10 inf + 0
0.942 * * [simplify]: Extracting #4: cost 6 inf + 84
0.943 * * [simplify]: Extracting #5: cost 0 inf + 734
0.943 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
0.943 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
0.943 * * * * [progress]: [ 24 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))>
0.943 * [simplify]: Simplifying (+ (* c c) (* d d))
0.943 * * [simplify]: iters left: 4 (5 enodes)
0.946 * * [simplify]: iters left: 3 (16 enodes)
0.950 * * [simplify]: Extracting #0: cost 1 inf + 0
0.950 * * [simplify]: Extracting #1: cost 4 inf + 0
0.950 * * [simplify]: Extracting #2: cost 8 inf + 0
0.951 * * [simplify]: Extracting #3: cost 4 inf + 84
0.951 * * [simplify]: Extracting #4: cost 0 inf + 410
0.951 * [simplify]: Simplified to (+ (* c c) (* d d))
0.951 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))
0.951 * * * * [progress]: [ 25 / 50 ] 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))))))>
0.951 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
0.952 * * [simplify]: iters left: 6 (9 enodes)
0.955 * * [simplify]: iters left: 5 (30 enodes)
0.963 * * [simplify]: Extracting #0: cost 1 inf + 0
0.963 * * [simplify]: Extracting #1: cost 3 inf + 0
0.963 * * [simplify]: Extracting #2: cost 5 inf + 0
0.963 * * [simplify]: Extracting #3: cost 8 inf + 0
0.963 * * [simplify]: Extracting #4: cost 14 inf + 0
0.963 * * [simplify]: Extracting #5: cost 9 inf + 46
0.963 * * [simplify]: Extracting #6: cost 4 inf + 500
0.964 * * [simplify]: Extracting #7: cost 1 inf + 1072
0.964 * * [simplify]: Extracting #8: cost 0 inf + 1316
0.965 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
0.965 * [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))))))
0.965 * * * * [progress]: [ 26 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))))>
0.965 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
0.965 * * [simplify]: iters left: 5 (8 enodes)
0.969 * * [simplify]: iters left: 4 (27 enodes)
0.976 * * [simplify]: Extracting #0: cost 1 inf + 0
0.976 * * [simplify]: Extracting #1: cost 3 inf + 0
0.976 * * [simplify]: Extracting #2: cost 6 inf + 0
0.976 * * [simplify]: Extracting #3: cost 12 inf + 0
0.976 * * [simplify]: Extracting #4: cost 8 inf + 4
0.976 * * [simplify]: Extracting #5: cost 1 inf + 584
0.977 * * [simplify]: Extracting #6: cost 0 inf + 748
0.977 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
0.977 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d))))))
0.977 * * * * [progress]: [ 27 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))>
0.977 * * * * [progress]: [ 28 / 50 ] 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))))))>
0.978 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
0.978 * * [simplify]: iters left: 6 (9 enodes)
0.982 * * [simplify]: iters left: 5 (49 enodes)
0.990 * * [simplify]: iters left: 4 (116 enodes)
1.015 * * [simplify]: iters left: 3 (231 enodes)
1.073 * * [simplify]: iters left: 2 (363 enodes)
1.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1.194 * * [simplify]: Extracting #1: cost 20 inf + 0
1.195 * * [simplify]: Extracting #2: cost 146 inf + 0
1.196 * * [simplify]: Extracting #3: cost 200 inf + 1989
1.200 * * [simplify]: Extracting #4: cost 63 inf + 22827
1.207 * * [simplify]: Extracting #5: cost 0 inf + 34174
1.215 * * [simplify]: Extracting #6: cost 0 inf + 34134
1.229 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))
1.229 * [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)))))
1.229 * * * * [progress]: [ 29 / 50 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))>
1.230 * [simplify]: Simplifying (- (* c c) (* d d))
1.230 * * [simplify]: iters left: 4 (5 enodes)
1.232 * * [simplify]: iters left: 3 (20 enodes)
1.238 * * [simplify]: iters left: 2 (33 enodes)
1.248 * * [simplify]: iters left: 1 (50 enodes)
1.264 * * [simplify]: Extracting #0: cost 1 inf + 0
1.264 * * [simplify]: Extracting #1: cost 11 inf + 0
1.265 * * [simplify]: Extracting #2: cost 29 inf + 0
1.265 * * [simplify]: Extracting #3: cost 19 inf + 455
1.266 * * [simplify]: Extracting #4: cost 0 inf + 2130
1.267 * * [simplify]: Extracting #5: cost 0 inf + 1970
1.268 * [simplify]: Simplified to (* (+ c d) (- c d))
1.268 * [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))))
1.268 * * * * [progress]: [ 30 / 50 ] 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)))))))>
1.269 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3))
1.269 * * [simplify]: iters left: 5 (10 enodes)
1.274 * * [simplify]: iters left: 4 (52 enodes)
1.301 * * [simplify]: iters left: 3 (145 enodes)
1.342 * * [simplify]: iters left: 2 (335 enodes)
1.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1.459 * * [simplify]: Extracting #1: cost 4 inf + 0
1.459 * * [simplify]: Extracting #2: cost 51 inf + 0
1.459 * * [simplify]: Extracting #3: cost 124 inf + 950
1.461 * * [simplify]: Extracting #4: cost 89 inf + 8397
1.464 * * [simplify]: Extracting #5: cost 14 inf + 28399
1.470 * * [simplify]: Extracting #6: cost 1 inf + 33494
1.474 * * [simplify]: Extracting #7: cost 0 inf + 33747
1.478 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
1.478 * [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)))))))
1.478 * * * * [progress]: [ 31 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d)))))>
1.479 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d)))
1.479 * * [simplify]: iters left: 6 (9 enodes)
1.481 * * [simplify]: iters left: 5 (48 enodes)
1.489 * * [simplify]: iters left: 4 (111 enodes)
1.524 * * [simplify]: iters left: 3 (181 enodes)
1.567 * * [simplify]: iters left: 2 (262 enodes)
1.612 * * [simplify]: iters left: 1 (473 enodes)
1.787 * * [simplify]: Extracting #0: cost 1 inf + 0
1.787 * * [simplify]: Extracting #1: cost 22 inf + 0
1.788 * * [simplify]: Extracting #2: cost 110 inf + 0
1.789 * * [simplify]: Extracting #3: cost 142 inf + 1440
1.796 * * [simplify]: Extracting #4: cost 41 inf + 15973
1.813 * * [simplify]: Extracting #5: cost 0 inf + 23364
1.827 * * [simplify]: Extracting #6: cost 0 inf + 23124
1.840 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d)))
1.840 * [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)))))
1.841 * * * * [progress]: [ 32 / 50 ] simplifiying candidate #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))>
1.841 * * * * [progress]: [ 33 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (* (exp (* a c)) (exp (* b d)))) (+ (* c c) (* d d))))>
1.841 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
1.841 * * [simplify]: iters left: 5 (9 enodes)
1.845 * * [simplify]: iters left: 4 (36 enodes)
1.855 * * [simplify]: iters left: 3 (55 enodes)
1.871 * * [simplify]: iters left: 2 (91 enodes)
1.887 * * [simplify]: iters left: 1 (191 enodes)
1.957 * * [simplify]: Extracting #0: cost 1 inf + 0
1.957 * * [simplify]: Extracting #1: cost 38 inf + 0
1.957 * * [simplify]: Extracting #2: cost 150 inf + 0
1.958 * * [simplify]: Extracting #3: cost 173 inf + 772
1.959 * * [simplify]: Extracting #4: cost 148 inf + 4628
1.961 * * [simplify]: Extracting #5: cost 93 inf + 18511
1.969 * * [simplify]: Extracting #6: cost 27 inf + 61555
1.986 * * [simplify]: Extracting #7: cost 0 inf + 82217
2.005 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
2.005 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d))))
2.006 * * * * [progress]: [ 34 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (+ (* a c) (* b d)) 1) (+ (* c c) (* d d))))>
2.006 * * * * [progress]: [ 35 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 36 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 37 / 50 ] 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))))>
2.007 * * * * [progress]: [ 38 / 50 ] 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))))>
2.007 * * * * [progress]: [ 39 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 40 / 50 ] 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))))>
2.007 * * * * [progress]: [ 41 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (+ (* a c) (* b d))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 42 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 43 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (posit16->real (real->posit16 (+ (* a c) (* b d)))) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 44 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))>
2.007 * * * * [progress]: [ 45 / 50 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.007 * [simplify]: Simplifying 0
2.007 * * [simplify]: iters left: 0 (1 enodes)
2.008 * * [simplify]: Extracting #0: cost 1 inf + 0
2.008 * * [simplify]: Extracting #1: cost 0 inf + 1
2.008 * [simplify]: Simplified to 0
2.008 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.008 * * * * [progress]: [ 46 / 50 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.009 * [simplify]: Simplifying 0
2.009 * * [simplify]: iters left: 0 (1 enodes)
2.009 * * [simplify]: Extracting #0: cost 1 inf + 0
2.009 * * [simplify]: Extracting #1: cost 0 inf + 1
2.009 * [simplify]: Simplified to 0
2.009 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.009 * * * * [progress]: [ 47 / 50 ] simplifiying candidate #<alt (λ (a b c d) 0)>
2.009 * [simplify]: Simplifying 0
2.009 * * [simplify]: iters left: 0 (1 enodes)
2.010 * * [simplify]: Extracting #0: cost 1 inf + 0
2.010 * * [simplify]: Extracting #1: cost 0 inf + 1
2.010 * [simplify]: Simplified to 0
2.010 * [simplify]: Simplified (2) to (λ (a b c d) 0)
2.010 * * * * [progress]: [ 48 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ 0 (+ (* c c) (* d d))))>
2.010 * [simplify]: Simplifying 0
2.010 * * [simplify]: iters left: 0 (1 enodes)
2.011 * * [simplify]: Extracting #0: cost 1 inf + 0
2.011 * * [simplify]: Extracting #1: cost 0 inf + 1
2.011 * [simplify]: Simplified to 0
2.011 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d))))
2.011 * * * * [progress]: [ 49 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
2.011 * [simplify]: Simplifying (+ (* a c) (* b d))
2.011 * * [simplify]: iters left: 4 (7 enodes)
2.012 * * [simplify]: iters left: 3 (24 enodes)
2.015 * * [simplify]: Extracting #0: cost 1 inf + 0
2.015 * * [simplify]: Extracting #1: cost 4 inf + 0
2.015 * * [simplify]: Extracting #2: cost 10 inf + 0
2.015 * * [simplify]: Extracting #3: cost 6 inf + 4
2.016 * * [simplify]: Extracting #4: cost 1 inf + 296
2.016 * * [simplify]: Extracting #5: cost 0 inf + 420
2.016 * [simplify]: Simplified to (+ (* b d) (* a c))
2.016 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
2.016 * * * * [progress]: [ 50 / 50 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
2.016 * [simplify]: Simplifying (+ (* a c) (* b d))
2.016 * * [simplify]: iters left: 4 (7 enodes)
2.017 * * [simplify]: iters left: 3 (24 enodes)
2.020 * * [simplify]: Extracting #0: cost 1 inf + 0
2.020 * * [simplify]: Extracting #1: cost 4 inf + 0
2.020 * * [simplify]: Extracting #2: cost 10 inf + 0
2.020 * * [simplify]: Extracting #3: cost 6 inf + 4
2.020 * * [simplify]: Extracting #4: cost 1 inf + 296
2.021 * * [simplify]: Extracting #5: cost 0 inf + 420
2.021 * [simplify]: Simplified to (+ (* b d) (* a c))
2.021 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
2.021 * * * [progress]: adding candidates to table
2.501 * * [progress]: iteration 2 / 4
2.501 * * * [progress]: picking best candidate
2.549 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
2.549 * * * [progress]: localizing error
2.601 * * * [progress]: generating rewritten candidates
2.601 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.613 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.625 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.676 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.683 * * * [progress]: generating series expansions
2.684 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.684 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
2.684 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
2.684 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.684 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.684 * [taylor]: Taking taylor expansion of c in d
2.684 * [backup-simplify]: Simplify c into c
2.684 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.684 * [taylor]: Taking taylor expansion of d in d
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.684 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.684 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.684 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
2.684 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.685 * [backup-simplify]: Simplify (+ 0 0) into 0
2.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
2.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.685 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.685 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.685 * [taylor]: Taking taylor expansion of c in c
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 1 into 1
2.685 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.685 * [taylor]: Taking taylor expansion of d in c
2.685 * [backup-simplify]: Simplify d into d
2.685 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.685 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.685 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.685 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.685 * [backup-simplify]: Simplify (+ 0 0) into 0
2.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.686 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.686 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.686 * [taylor]: Taking taylor expansion of c in c
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 1 into 1
2.686 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.686 * [taylor]: Taking taylor expansion of d in c
2.686 * [backup-simplify]: Simplify d into d
2.686 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.686 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.686 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.686 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.686 * [backup-simplify]: Simplify (+ 0 0) into 0
2.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.686 * [taylor]: Taking taylor expansion of d in d
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 1 into 1
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [taylor]: Taking taylor expansion of 0 in d
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 1 into 1
2.687 * [backup-simplify]: Simplify (* 1 1) into 1
2.687 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.687 * [backup-simplify]: Simplify (+ 1 0) into 1
2.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
2.688 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
2.688 * [taylor]: Taking taylor expansion of 1/2 in d
2.688 * [backup-simplify]: Simplify 1/2 into 1/2
2.688 * [taylor]: Taking taylor expansion of d in d
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.690 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.690 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
2.690 * [taylor]: Taking taylor expansion of 0 in d
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
2.691 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.691 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.691 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.691 * [taylor]: Taking taylor expansion of c in d
2.692 * [backup-simplify]: Simplify c into c
2.692 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.692 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.692 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.692 * [taylor]: Taking taylor expansion of d in d
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (* 1 1) into 1
2.692 * [backup-simplify]: Simplify (/ 1 1) into 1
2.692 * [backup-simplify]: Simplify (+ 0 1) into 1
2.693 * [backup-simplify]: Simplify (sqrt 1) into 1
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.695 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.695 * [taylor]: Taking taylor expansion of c in c
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* 1 1) into 1
2.696 * [backup-simplify]: Simplify (/ 1 1) into 1
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.696 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.696 * [taylor]: Taking taylor expansion of d in c
2.696 * [backup-simplify]: Simplify d into d
2.696 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.696 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.697 * [backup-simplify]: Simplify (+ 1 0) into 1
2.697 * [backup-simplify]: Simplify (sqrt 1) into 1
2.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.700 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.700 * [taylor]: Taking taylor expansion of c in c
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.701 * [backup-simplify]: Simplify (/ 1 1) into 1
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.701 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.701 * [taylor]: Taking taylor expansion of d in c
2.701 * [backup-simplify]: Simplify d into d
2.701 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.701 * [backup-simplify]: Simplify (+ 1 0) into 1
2.702 * [backup-simplify]: Simplify (sqrt 1) into 1
2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.704 * [taylor]: Taking taylor expansion of 1 in d
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [taylor]: Taking taylor expansion of 0 in d
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.708 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.708 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.708 * [taylor]: Taking taylor expansion of 1/2 in d
2.708 * [backup-simplify]: Simplify 1/2 into 1/2
2.708 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.708 * [taylor]: Taking taylor expansion of d in d
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.708 * [backup-simplify]: Simplify (* 1 1) into 1
2.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.712 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.713 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.714 * [taylor]: Taking taylor expansion of 0 in d
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
2.716 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.716 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.716 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.716 * [taylor]: Taking taylor expansion of c in d
2.716 * [backup-simplify]: Simplify c into c
2.716 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.716 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.716 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.716 * [taylor]: Taking taylor expansion of d in d
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.717 * [backup-simplify]: Simplify (* 1 1) into 1
2.717 * [backup-simplify]: Simplify (/ 1 1) into 1
2.718 * [backup-simplify]: Simplify (+ 0 1) into 1
2.718 * [backup-simplify]: Simplify (sqrt 1) into 1
2.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.720 * [backup-simplify]: Simplify (+ 0 0) into 0
2.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.720 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.720 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.720 * [taylor]: Taking taylor expansion of c in c
2.720 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 1 into 1
2.721 * [backup-simplify]: Simplify (* 1 1) into 1
2.721 * [backup-simplify]: Simplify (/ 1 1) into 1
2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.721 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.721 * [taylor]: Taking taylor expansion of d in c
2.721 * [backup-simplify]: Simplify d into d
2.721 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.722 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.722 * [backup-simplify]: Simplify (+ 1 0) into 1
2.722 * [backup-simplify]: Simplify (sqrt 1) into 1
2.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.725 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.725 * [taylor]: Taking taylor expansion of c in c
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify 1 into 1
2.725 * [backup-simplify]: Simplify (* 1 1) into 1
2.725 * [backup-simplify]: Simplify (/ 1 1) into 1
2.725 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.725 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.725 * [taylor]: Taking taylor expansion of d in c
2.725 * [backup-simplify]: Simplify d into d
2.725 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.725 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.726 * [backup-simplify]: Simplify (+ 1 0) into 1
2.726 * [backup-simplify]: Simplify (sqrt 1) into 1
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.727 * [taylor]: Taking taylor expansion of 1 in d
2.727 * [backup-simplify]: Simplify 1 into 1
2.727 * [taylor]: Taking taylor expansion of 0 in d
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.729 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.729 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.729 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.729 * [taylor]: Taking taylor expansion of 1/2 in d
2.729 * [backup-simplify]: Simplify 1/2 into 1/2
2.729 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.729 * [taylor]: Taking taylor expansion of d in d
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (* 1 1) into 1
2.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.732 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.733 * [taylor]: Taking taylor expansion of 0 in d
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
2.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.734 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
2.734 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
2.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
2.734 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.734 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.734 * [taylor]: Taking taylor expansion of c in d
2.734 * [backup-simplify]: Simplify c into c
2.734 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.734 * [taylor]: Taking taylor expansion of d in d
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.734 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.735 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
2.735 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.735 * [backup-simplify]: Simplify (+ 0 0) into 0
2.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.735 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.735 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.735 * [taylor]: Taking taylor expansion of c in c
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.735 * [taylor]: Taking taylor expansion of d in c
2.735 * [backup-simplify]: Simplify d into d
2.735 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.735 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.735 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.735 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.735 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.736 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
2.736 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.736 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.736 * [taylor]: Taking taylor expansion of c in c
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.736 * [taylor]: Taking taylor expansion of d in c
2.736 * [backup-simplify]: Simplify d into d
2.736 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.736 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.736 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
2.736 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
2.736 * [taylor]: Taking taylor expansion of d in d
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [taylor]: Taking taylor expansion of 0 in d
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (* 1 1) into 1
2.737 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.737 * [backup-simplify]: Simplify (+ 1 0) into 1
2.738 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
2.738 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
2.738 * [taylor]: Taking taylor expansion of 1/2 in d
2.738 * [backup-simplify]: Simplify 1/2 into 1/2
2.738 * [taylor]: Taking taylor expansion of d in d
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.738 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.739 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
2.740 * [taylor]: Taking taylor expansion of 0 in d
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
2.741 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.741 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.741 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.741 * [taylor]: Taking taylor expansion of c in d
2.741 * [backup-simplify]: Simplify c into c
2.741 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.741 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.741 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.741 * [taylor]: Taking taylor expansion of d in d
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (* 1 1) into 1
2.741 * [backup-simplify]: Simplify (/ 1 1) into 1
2.742 * [backup-simplify]: Simplify (+ 0 1) into 1
2.742 * [backup-simplify]: Simplify (sqrt 1) into 1
2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.743 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.743 * [taylor]: Taking taylor expansion of c in c
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.744 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.744 * [taylor]: Taking taylor expansion of d in c
2.744 * [backup-simplify]: Simplify d into d
2.744 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.744 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.744 * [backup-simplify]: Simplify (+ 1 0) into 1
2.745 * [backup-simplify]: Simplify (sqrt 1) into 1
2.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (+ 0 0) into 0
2.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.746 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.746 * [taylor]: Taking taylor expansion of c in c
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.746 * [backup-simplify]: Simplify (* 1 1) into 1
2.747 * [backup-simplify]: Simplify (/ 1 1) into 1
2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.747 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.747 * [taylor]: Taking taylor expansion of d in c
2.747 * [backup-simplify]: Simplify d into d
2.747 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.747 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.747 * [backup-simplify]: Simplify (+ 1 0) into 1
2.747 * [backup-simplify]: Simplify (sqrt 1) into 1
2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.749 * [taylor]: Taking taylor expansion of 1 in d
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [taylor]: Taking taylor expansion of 0 in d
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.751 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.751 * [taylor]: Taking taylor expansion of 1/2 in d
2.751 * [backup-simplify]: Simplify 1/2 into 1/2
2.751 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.751 * [taylor]: Taking taylor expansion of d in d
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (* 1 1) into 1
2.752 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.754 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.754 * [backup-simplify]: Simplify (+ 0 0) into 0
2.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.754 * [taylor]: Taking taylor expansion of 0 in d
2.754 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
2.756 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.756 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.756 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.756 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.756 * [taylor]: Taking taylor expansion of c in d
2.756 * [backup-simplify]: Simplify c into c
2.756 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.756 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.756 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.756 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.756 * [taylor]: Taking taylor expansion of d in d
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (* 1 1) into 1
2.757 * [backup-simplify]: Simplify (/ 1 1) into 1
2.757 * [backup-simplify]: Simplify (+ 0 1) into 1
2.758 * [backup-simplify]: Simplify (sqrt 1) into 1
2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (+ 0 0) into 0
2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.761 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.761 * [taylor]: Taking taylor expansion of c in c
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 1 into 1
2.761 * [backup-simplify]: Simplify (* 1 1) into 1
2.761 * [backup-simplify]: Simplify (/ 1 1) into 1
2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.761 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.761 * [taylor]: Taking taylor expansion of d in c
2.761 * [backup-simplify]: Simplify d into d
2.762 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.762 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.762 * [backup-simplify]: Simplify (+ 1 0) into 1
2.762 * [backup-simplify]: Simplify (sqrt 1) into 1
2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.764 * [backup-simplify]: Simplify (+ 0 0) into 0
2.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.766 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.766 * [taylor]: Taking taylor expansion of c in c
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [backup-simplify]: Simplify (* 1 1) into 1
2.766 * [backup-simplify]: Simplify (/ 1 1) into 1
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.766 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.766 * [taylor]: Taking taylor expansion of d in c
2.766 * [backup-simplify]: Simplify d into d
2.767 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.767 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.767 * [backup-simplify]: Simplify (+ 1 0) into 1
2.767 * [backup-simplify]: Simplify (sqrt 1) into 1
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.770 * [taylor]: Taking taylor expansion of 1 in d
2.770 * [backup-simplify]: Simplify 1 into 1
2.770 * [taylor]: Taking taylor expansion of 0 in d
2.770 * [backup-simplify]: Simplify 0 into 0
2.770 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
2.773 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
2.773 * [taylor]: Taking taylor expansion of 1/2 in d
2.773 * [backup-simplify]: Simplify 1/2 into 1/2
2.773 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.773 * [taylor]: Taking taylor expansion of d in d
2.773 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.774 * [backup-simplify]: Simplify (* 1 1) into 1
2.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
2.779 * [taylor]: Taking taylor expansion of 0 in d
2.779 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
2.784 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
2.784 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
2.784 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
2.784 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
2.784 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
2.784 * [taylor]: Taking taylor expansion of (* a c) in d
2.784 * [taylor]: Taking taylor expansion of a in d
2.785 * [backup-simplify]: Simplify a into a
2.785 * [taylor]: Taking taylor expansion of c in d
2.785 * [backup-simplify]: Simplify c into c
2.785 * [taylor]: Taking taylor expansion of (* b d) in d
2.785 * [taylor]: Taking taylor expansion of b in d
2.785 * [backup-simplify]: Simplify b into b
2.785 * [taylor]: Taking taylor expansion of d in d
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
2.785 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
2.785 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
2.785 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.785 * [taylor]: Taking taylor expansion of c in d
2.785 * [backup-simplify]: Simplify c into c
2.785 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.785 * [taylor]: Taking taylor expansion of d in d
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.785 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.785 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
2.785 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.785 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
2.785 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.786 * [backup-simplify]: Simplify (+ 0 0) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
2.786 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
2.786 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
2.786 * [taylor]: Taking taylor expansion of (* a c) in b
2.786 * [taylor]: Taking taylor expansion of a in b
2.786 * [backup-simplify]: Simplify a into a
2.786 * [taylor]: Taking taylor expansion of c in b
2.786 * [backup-simplify]: Simplify c into c
2.786 * [taylor]: Taking taylor expansion of (* b d) in b
2.786 * [taylor]: Taking taylor expansion of b in b
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.786 * [taylor]: Taking taylor expansion of d in b
2.787 * [backup-simplify]: Simplify d into d
2.787 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
2.787 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
2.787 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
2.787 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.787 * [taylor]: Taking taylor expansion of c in b
2.787 * [backup-simplify]: Simplify c into c
2.787 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.787 * [taylor]: Taking taylor expansion of d in b
2.787 * [backup-simplify]: Simplify d into d
2.787 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.787 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.787 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.787 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.787 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.787 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.788 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.788 * [backup-simplify]: Simplify (+ 0 0) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.789 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
2.789 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
2.789 * [taylor]: Taking taylor expansion of (* a c) in c
2.789 * [taylor]: Taking taylor expansion of a in c
2.789 * [backup-simplify]: Simplify a into a
2.789 * [taylor]: Taking taylor expansion of c in c
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [taylor]: Taking taylor expansion of (* b d) in c
2.789 * [taylor]: Taking taylor expansion of b in c
2.789 * [backup-simplify]: Simplify b into b
2.789 * [taylor]: Taking taylor expansion of d in c
2.789 * [backup-simplify]: Simplify d into d
2.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.789 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.789 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.789 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.789 * [taylor]: Taking taylor expansion of c in c
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.789 * [taylor]: Taking taylor expansion of d in c
2.789 * [backup-simplify]: Simplify d into d
2.789 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.789 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.790 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.790 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.790 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.791 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
2.791 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.791 * [taylor]: Taking taylor expansion of (* a c) in a
2.791 * [taylor]: Taking taylor expansion of a in a
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [taylor]: Taking taylor expansion of c in a
2.791 * [backup-simplify]: Simplify c into c
2.791 * [taylor]: Taking taylor expansion of (* b d) in a
2.791 * [taylor]: Taking taylor expansion of b in a
2.791 * [backup-simplify]: Simplify b into b
2.791 * [taylor]: Taking taylor expansion of d in a
2.791 * [backup-simplify]: Simplify d into d
2.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
2.791 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
2.791 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
2.791 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.791 * [taylor]: Taking taylor expansion of c in a
2.791 * [backup-simplify]: Simplify c into c
2.791 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.791 * [taylor]: Taking taylor expansion of d in a
2.791 * [backup-simplify]: Simplify d into d
2.791 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.791 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.791 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.792 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.792 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.792 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.792 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.792 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.793 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
2.793 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.793 * [taylor]: Taking taylor expansion of (* a c) in a
2.793 * [taylor]: Taking taylor expansion of a in a
2.793 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify 1 into 1
2.793 * [taylor]: Taking taylor expansion of c in a
2.793 * [backup-simplify]: Simplify c into c
2.793 * [taylor]: Taking taylor expansion of (* b d) in a
2.793 * [taylor]: Taking taylor expansion of b in a
2.793 * [backup-simplify]: Simplify b into b
2.793 * [taylor]: Taking taylor expansion of d in a
2.793 * [backup-simplify]: Simplify d into d
2.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
2.793 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
2.793 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
2.793 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.793 * [taylor]: Taking taylor expansion of c in a
2.793 * [backup-simplify]: Simplify c into c
2.793 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.793 * [taylor]: Taking taylor expansion of d in a
2.793 * [backup-simplify]: Simplify d into d
2.794 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.794 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.794 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
2.794 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
2.794 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
2.794 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.794 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.795 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.795 * [backup-simplify]: Simplify (* 0 c) into 0
2.795 * [backup-simplify]: Simplify (* b d) into (* b d)
2.795 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
2.796 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
2.796 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
2.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.796 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.796 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.796 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.796 * [taylor]: Taking taylor expansion of c in c
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.796 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.796 * [taylor]: Taking taylor expansion of d in c
2.796 * [backup-simplify]: Simplify d into d
2.796 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.796 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.796 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.796 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.796 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.797 * [backup-simplify]: Simplify (+ 0 0) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.797 * [taylor]: Taking taylor expansion of (* b d) in c
2.797 * [taylor]: Taking taylor expansion of b in c
2.797 * [backup-simplify]: Simplify b into b
2.797 * [taylor]: Taking taylor expansion of d in c
2.797 * [backup-simplify]: Simplify d into d
2.797 * [backup-simplify]: Simplify (* b d) into (* b d)
2.797 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
2.798 * [taylor]: Taking taylor expansion of b in b
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 1 into 1
2.798 * [taylor]: Taking taylor expansion of 0 in d
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.798 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.798 * [backup-simplify]: Simplify (+ c 0) into c
2.799 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
2.799 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
2.799 * [taylor]: Taking taylor expansion of c in c
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 1 into 1
2.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
2.799 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
2.799 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
2.799 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.799 * [taylor]: Taking taylor expansion of c in c
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 1 into 1
2.799 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.799 * [taylor]: Taking taylor expansion of d in c
2.799 * [backup-simplify]: Simplify d into d
2.799 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.799 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
2.799 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.799 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
2.799 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
2.800 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
2.800 * [taylor]: Taking taylor expansion of 0 in b
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [taylor]: Taking taylor expansion of 0 in d
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.801 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
2.801 * [taylor]: Taking taylor expansion of 0 in b
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [taylor]: Taking taylor expansion of 0 in d
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [taylor]: Taking taylor expansion of 1 in d
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.802 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
2.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
2.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.805 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
2.805 * [taylor]: Taking taylor expansion of 0 in c
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [taylor]: Taking taylor expansion of 0 in b
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [taylor]: Taking taylor expansion of 0 in d
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
2.806 * [taylor]: Taking taylor expansion of (/ 1 d) in b
2.806 * [taylor]: Taking taylor expansion of d in b
2.806 * [backup-simplify]: Simplify d into d
2.806 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.806 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.806 * [taylor]: Taking taylor expansion of d in d
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (/ 1 1) into 1
2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.807 * [backup-simplify]: Simplify (* 1 1) into 1
2.807 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.808 * [backup-simplify]: Simplify (+ 1 0) into 1
2.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
2.808 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
2.809 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
2.809 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
2.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
2.809 * [taylor]: Taking taylor expansion of 1/2 in b
2.809 * [backup-simplify]: Simplify 1/2 into 1/2
2.809 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
2.809 * [taylor]: Taking taylor expansion of b in b
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 1 into 1
2.809 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.809 * [taylor]: Taking taylor expansion of d in b
2.809 * [backup-simplify]: Simplify d into d
2.809 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.809 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.809 * [taylor]: Taking taylor expansion of 0 in d
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [taylor]: Taking taylor expansion of 0 in d
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [taylor]: Taking taylor expansion of 0 in d
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
2.810 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.810 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
2.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.810 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.810 * [taylor]: Taking taylor expansion of (* b d) in d
2.810 * [taylor]: Taking taylor expansion of b in d
2.810 * [backup-simplify]: Simplify b into b
2.810 * [taylor]: Taking taylor expansion of d in d
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify 1 into 1
2.810 * [backup-simplify]: Simplify (* b 0) into 0
2.810 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.810 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.810 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.810 * [taylor]: Taking taylor expansion of (* a c) in d
2.810 * [taylor]: Taking taylor expansion of a in d
2.811 * [backup-simplify]: Simplify a into a
2.811 * [taylor]: Taking taylor expansion of c in d
2.811 * [backup-simplify]: Simplify c into c
2.811 * [backup-simplify]: Simplify (* a c) into (* a c)
2.811 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
2.811 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.811 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.811 * [taylor]: Taking taylor expansion of c in d
2.811 * [backup-simplify]: Simplify c into c
2.811 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.811 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.811 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.811 * [taylor]: Taking taylor expansion of d in d
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (* 1 1) into 1
2.811 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [backup-simplify]: Simplify (+ 0 1) into 1
2.812 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [backup-simplify]: Simplify (sqrt 1) into 1
2.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.814 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.814 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.814 * [taylor]: Taking taylor expansion of (* b d) in b
2.814 * [taylor]: Taking taylor expansion of b in b
2.814 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify 1 into 1
2.814 * [taylor]: Taking taylor expansion of d in b
2.814 * [backup-simplify]: Simplify d into d
2.814 * [backup-simplify]: Simplify (* 0 d) into 0
2.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.815 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.815 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.815 * [taylor]: Taking taylor expansion of (* a c) in b
2.815 * [taylor]: Taking taylor expansion of a in b
2.815 * [backup-simplify]: Simplify a into a
2.815 * [taylor]: Taking taylor expansion of c in b
2.815 * [backup-simplify]: Simplify c into c
2.815 * [backup-simplify]: Simplify (* a c) into (* a c)
2.815 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
2.815 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
2.815 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.815 * [taylor]: Taking taylor expansion of c in b
2.815 * [backup-simplify]: Simplify c into c
2.815 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.815 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.815 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.815 * [taylor]: Taking taylor expansion of d in b
2.815 * [backup-simplify]: Simplify d into d
2.815 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.815 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.815 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.815 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.815 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.815 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.816 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.816 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.816 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.816 * [taylor]: Taking taylor expansion of (* b d) in c
2.816 * [taylor]: Taking taylor expansion of b in c
2.816 * [backup-simplify]: Simplify b into b
2.816 * [taylor]: Taking taylor expansion of d in c
2.816 * [backup-simplify]: Simplify d into d
2.816 * [backup-simplify]: Simplify (* b d) into (* b d)
2.816 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.816 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.817 * [taylor]: Taking taylor expansion of (* a c) in c
2.817 * [taylor]: Taking taylor expansion of a in c
2.817 * [backup-simplify]: Simplify a into a
2.817 * [taylor]: Taking taylor expansion of c in c
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.817 * [backup-simplify]: Simplify (* a 0) into 0
2.817 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.817 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.817 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.817 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.817 * [taylor]: Taking taylor expansion of c in c
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.817 * [backup-simplify]: Simplify (* 1 1) into 1
2.818 * [backup-simplify]: Simplify (/ 1 1) into 1
2.818 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.818 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.818 * [taylor]: Taking taylor expansion of d in c
2.818 * [backup-simplify]: Simplify d into d
2.818 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.818 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.818 * [backup-simplify]: Simplify (+ 1 0) into 1
2.818 * [backup-simplify]: Simplify (/ 1 1) into 1
2.818 * [backup-simplify]: Simplify (sqrt 1) into 1
2.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.819 * [backup-simplify]: Simplify (+ 0 0) into 0
2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.820 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.820 * [taylor]: Taking taylor expansion of (* b d) in a
2.820 * [taylor]: Taking taylor expansion of b in a
2.820 * [backup-simplify]: Simplify b into b
2.820 * [taylor]: Taking taylor expansion of d in a
2.820 * [backup-simplify]: Simplify d into d
2.820 * [backup-simplify]: Simplify (* b d) into (* b d)
2.821 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.821 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.821 * [taylor]: Taking taylor expansion of (* a c) in a
2.821 * [taylor]: Taking taylor expansion of a in a
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.821 * [taylor]: Taking taylor expansion of c in a
2.821 * [backup-simplify]: Simplify c into c
2.821 * [backup-simplify]: Simplify (* 0 c) into 0
2.821 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.821 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.821 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.821 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.821 * [taylor]: Taking taylor expansion of c in a
2.821 * [backup-simplify]: Simplify c into c
2.821 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.821 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.821 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.821 * [taylor]: Taking taylor expansion of d in a
2.821 * [backup-simplify]: Simplify d into d
2.821 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.821 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.821 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.822 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.822 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.822 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.822 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.822 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.823 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.823 * [taylor]: Taking taylor expansion of (* b d) in a
2.823 * [taylor]: Taking taylor expansion of b in a
2.823 * [backup-simplify]: Simplify b into b
2.823 * [taylor]: Taking taylor expansion of d in a
2.823 * [backup-simplify]: Simplify d into d
2.823 * [backup-simplify]: Simplify (* b d) into (* b d)
2.823 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.823 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.823 * [taylor]: Taking taylor expansion of (* a c) in a
2.823 * [taylor]: Taking taylor expansion of a in a
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify 1 into 1
2.823 * [taylor]: Taking taylor expansion of c in a
2.823 * [backup-simplify]: Simplify c into c
2.823 * [backup-simplify]: Simplify (* 0 c) into 0
2.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.823 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.823 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.823 * [taylor]: Taking taylor expansion of c in a
2.823 * [backup-simplify]: Simplify c into c
2.823 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.823 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.823 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.823 * [taylor]: Taking taylor expansion of d in a
2.823 * [backup-simplify]: Simplify d into d
2.823 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.824 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.824 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.824 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.824 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.824 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.824 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.824 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.825 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.825 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
2.825 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
2.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.825 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.825 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.825 * [taylor]: Taking taylor expansion of c in c
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [backup-simplify]: Simplify (* 1 1) into 1
2.826 * [backup-simplify]: Simplify (/ 1 1) into 1
2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.826 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.826 * [taylor]: Taking taylor expansion of d in c
2.826 * [backup-simplify]: Simplify d into d
2.826 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.826 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.826 * [backup-simplify]: Simplify (+ 1 0) into 1
2.826 * [backup-simplify]: Simplify (/ 1 1) into 1
2.827 * [backup-simplify]: Simplify (sqrt 1) into 1
2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.829 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.829 * [taylor]: Taking taylor expansion of c in c
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify 1 into 1
2.829 * [backup-simplify]: Simplify (/ 1 1) into 1
2.829 * [backup-simplify]: Simplify (* 1 1) into 1
2.830 * [taylor]: Taking taylor expansion of 1 in b
2.830 * [backup-simplify]: Simplify 1 into 1
2.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.830 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.830 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.830 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.830 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.830 * [taylor]: Taking taylor expansion of (* b d) in c
2.830 * [taylor]: Taking taylor expansion of b in c
2.830 * [backup-simplify]: Simplify b into b
2.831 * [taylor]: Taking taylor expansion of d in c
2.831 * [backup-simplify]: Simplify d into d
2.831 * [backup-simplify]: Simplify (* b d) into (* b d)
2.831 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.831 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.831 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.831 * [taylor]: Taking taylor expansion of c in c
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.831 * [backup-simplify]: Simplify (* 1 1) into 1
2.831 * [backup-simplify]: Simplify (/ 1 1) into 1
2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.831 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.831 * [taylor]: Taking taylor expansion of d in c
2.831 * [backup-simplify]: Simplify d into d
2.831 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.831 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.832 * [backup-simplify]: Simplify (+ 1 0) into 1
2.832 * [backup-simplify]: Simplify (/ 1 1) into 1
2.832 * [backup-simplify]: Simplify (sqrt 1) into 1
2.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.837 * [taylor]: Taking taylor expansion of 0 in b
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [taylor]: Taking taylor expansion of 1 in d
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.838 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.839 * [backup-simplify]: Simplify (+ 0 0) into 0
2.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.840 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.842 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
2.842 * [taylor]: Taking taylor expansion of 0 in c
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [taylor]: Taking taylor expansion of 0 in b
2.842 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
2.843 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.843 * [taylor]: Taking taylor expansion of (* b d) in b
2.843 * [taylor]: Taking taylor expansion of b in b
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [taylor]: Taking taylor expansion of d in b
2.843 * [backup-simplify]: Simplify d into d
2.843 * [backup-simplify]: Simplify (* 0 d) into 0
2.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.843 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.843 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.843 * [taylor]: Taking taylor expansion of d in d
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.844 * [backup-simplify]: Simplify (/ 1 1) into 1
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.847 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
2.849 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
2.850 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
2.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
2.850 * [taylor]: Taking taylor expansion of 1/2 in b
2.850 * [backup-simplify]: Simplify 1/2 into 1/2
2.850 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.850 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.850 * [taylor]: Taking taylor expansion of d in b
2.850 * [backup-simplify]: Simplify d into d
2.850 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.851 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.851 * [taylor]: Taking taylor expansion of 0 in d
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [taylor]: Taking taylor expansion of 0 in d
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
2.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.853 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.856 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.858 * [backup-simplify]: Simplify (+ 0 0) into 0
2.859 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
2.859 * [taylor]: Taking taylor expansion of 0 in c
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [taylor]: Taking taylor expansion of 0 in b
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [taylor]: Taking taylor expansion of 0 in b
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.860 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
2.860 * [taylor]: Taking taylor expansion of 0 in b
2.860 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.863 * [backup-simplify]: Simplify (+ 0 0) into 0
2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
2.867 * [taylor]: Taking taylor expansion of 0 in b
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [taylor]: Taking taylor expansion of 0 in d
2.867 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.868 * [taylor]: Taking taylor expansion of 0 in d
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
2.868 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.868 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
2.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.869 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.869 * [taylor]: Taking taylor expansion of (* b d) in d
2.869 * [taylor]: Taking taylor expansion of b in d
2.869 * [backup-simplify]: Simplify b into b
2.869 * [taylor]: Taking taylor expansion of d in d
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (* b 0) into 0
2.869 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.869 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.869 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.869 * [taylor]: Taking taylor expansion of (* a c) in d
2.869 * [taylor]: Taking taylor expansion of a in d
2.869 * [backup-simplify]: Simplify a into a
2.869 * [taylor]: Taking taylor expansion of c in d
2.869 * [backup-simplify]: Simplify c into c
2.869 * [backup-simplify]: Simplify (* a c) into (* a c)
2.869 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
2.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
2.870 * [taylor]: Taking taylor expansion of (pow c 2) in d
2.870 * [taylor]: Taking taylor expansion of c in d
2.870 * [backup-simplify]: Simplify c into c
2.870 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.870 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
2.870 * [taylor]: Taking taylor expansion of (pow d 2) in d
2.870 * [taylor]: Taking taylor expansion of d in d
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 1 into 1
2.870 * [backup-simplify]: Simplify (* 1 1) into 1
2.871 * [backup-simplify]: Simplify (/ 1 1) into 1
2.871 * [backup-simplify]: Simplify (+ 0 1) into 1
2.872 * [backup-simplify]: Simplify (/ 1 1) into 1
2.872 * [backup-simplify]: Simplify (sqrt 1) into 1
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify (+ 0 0) into 0
2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.875 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.875 * [taylor]: Taking taylor expansion of (* b d) in b
2.875 * [taylor]: Taking taylor expansion of b in b
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [taylor]: Taking taylor expansion of d in b
2.875 * [backup-simplify]: Simplify d into d
2.875 * [backup-simplify]: Simplify (* 0 d) into 0
2.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.876 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.876 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.876 * [taylor]: Taking taylor expansion of (* a c) in b
2.876 * [taylor]: Taking taylor expansion of a in b
2.876 * [backup-simplify]: Simplify a into a
2.876 * [taylor]: Taking taylor expansion of c in b
2.876 * [backup-simplify]: Simplify c into c
2.876 * [backup-simplify]: Simplify (* a c) into (* a c)
2.876 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
2.877 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
2.877 * [taylor]: Taking taylor expansion of (pow c 2) in b
2.877 * [taylor]: Taking taylor expansion of c in b
2.877 * [backup-simplify]: Simplify c into c
2.877 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.877 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.877 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.877 * [taylor]: Taking taylor expansion of d in b
2.877 * [backup-simplify]: Simplify d into d
2.877 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.877 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.877 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.877 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.878 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.878 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.878 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.879 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.879 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.879 * [taylor]: Taking taylor expansion of (* b d) in c
2.879 * [taylor]: Taking taylor expansion of b in c
2.879 * [backup-simplify]: Simplify b into b
2.879 * [taylor]: Taking taylor expansion of d in c
2.879 * [backup-simplify]: Simplify d into d
2.879 * [backup-simplify]: Simplify (* b d) into (* b d)
2.879 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.880 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.880 * [taylor]: Taking taylor expansion of (* a c) in c
2.880 * [taylor]: Taking taylor expansion of a in c
2.880 * [backup-simplify]: Simplify a into a
2.880 * [taylor]: Taking taylor expansion of c in c
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (* a 0) into 0
2.880 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.880 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.880 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.880 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.880 * [taylor]: Taking taylor expansion of c in c
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.881 * [backup-simplify]: Simplify (* 1 1) into 1
2.881 * [backup-simplify]: Simplify (/ 1 1) into 1
2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.881 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.881 * [taylor]: Taking taylor expansion of d in c
2.881 * [backup-simplify]: Simplify d into d
2.881 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.881 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.882 * [backup-simplify]: Simplify (+ 1 0) into 1
2.882 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [backup-simplify]: Simplify (sqrt 1) into 1
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.886 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.886 * [taylor]: Taking taylor expansion of (* b d) in a
2.886 * [taylor]: Taking taylor expansion of b in a
2.886 * [backup-simplify]: Simplify b into b
2.886 * [taylor]: Taking taylor expansion of d in a
2.886 * [backup-simplify]: Simplify d into d
2.886 * [backup-simplify]: Simplify (* b d) into (* b d)
2.886 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.886 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.886 * [taylor]: Taking taylor expansion of (* a c) in a
2.886 * [taylor]: Taking taylor expansion of a in a
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of c in a
2.886 * [backup-simplify]: Simplify c into c
2.886 * [backup-simplify]: Simplify (* 0 c) into 0
2.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.887 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.887 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.887 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.887 * [taylor]: Taking taylor expansion of c in a
2.887 * [backup-simplify]: Simplify c into c
2.887 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.887 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.887 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.887 * [taylor]: Taking taylor expansion of d in a
2.887 * [backup-simplify]: Simplify d into d
2.887 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.887 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.887 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.888 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.888 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.888 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.888 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
2.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.889 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.889 * [taylor]: Taking taylor expansion of (* b d) in a
2.889 * [taylor]: Taking taylor expansion of b in a
2.890 * [backup-simplify]: Simplify b into b
2.890 * [taylor]: Taking taylor expansion of d in a
2.890 * [backup-simplify]: Simplify d into d
2.890 * [backup-simplify]: Simplify (* b d) into (* b d)
2.890 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.890 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.890 * [taylor]: Taking taylor expansion of (* a c) in a
2.890 * [taylor]: Taking taylor expansion of a in a
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.890 * [taylor]: Taking taylor expansion of c in a
2.890 * [backup-simplify]: Simplify c into c
2.890 * [backup-simplify]: Simplify (* 0 c) into 0
2.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.890 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
2.890 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
2.891 * [taylor]: Taking taylor expansion of (pow c 2) in a
2.891 * [taylor]: Taking taylor expansion of c in a
2.891 * [backup-simplify]: Simplify c into c
2.891 * [backup-simplify]: Simplify (* c c) into (pow c 2)
2.891 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
2.891 * [taylor]: Taking taylor expansion of (pow d 2) in a
2.891 * [taylor]: Taking taylor expansion of d in a
2.891 * [backup-simplify]: Simplify d into d
2.891 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.891 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.891 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
2.891 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
2.892 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
2.892 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
2.892 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.893 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.894 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
2.894 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
2.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.894 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.894 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.894 * [taylor]: Taking taylor expansion of c in c
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify 1 into 1
2.894 * [backup-simplify]: Simplify (* 1 1) into 1
2.895 * [backup-simplify]: Simplify (/ 1 1) into 1
2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.895 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.895 * [taylor]: Taking taylor expansion of d in c
2.895 * [backup-simplify]: Simplify d into d
2.895 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.895 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.895 * [backup-simplify]: Simplify (+ 1 0) into 1
2.896 * [backup-simplify]: Simplify (/ 1 1) into 1
2.896 * [backup-simplify]: Simplify (sqrt 1) into 1
2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.899 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.899 * [taylor]: Taking taylor expansion of c in c
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 1 into 1
2.900 * [backup-simplify]: Simplify (/ 1 1) into 1
2.900 * [backup-simplify]: Simplify (* 1 1) into 1
2.900 * [taylor]: Taking taylor expansion of 1 in b
2.900 * [backup-simplify]: Simplify 1 into 1
2.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.901 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.901 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
2.902 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
2.902 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.902 * [taylor]: Taking taylor expansion of (* b d) in c
2.902 * [taylor]: Taking taylor expansion of b in c
2.902 * [backup-simplify]: Simplify b into b
2.902 * [taylor]: Taking taylor expansion of d in c
2.902 * [backup-simplify]: Simplify d into d
2.902 * [backup-simplify]: Simplify (* b d) into (* b d)
2.902 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
2.902 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
2.902 * [taylor]: Taking taylor expansion of (pow c 2) in c
2.902 * [taylor]: Taking taylor expansion of c in c
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [backup-simplify]: Simplify (* 1 1) into 1
2.903 * [backup-simplify]: Simplify (/ 1 1) into 1
2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
2.903 * [taylor]: Taking taylor expansion of (pow d 2) in c
2.903 * [taylor]: Taking taylor expansion of d in c
2.903 * [backup-simplify]: Simplify d into d
2.903 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.903 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.903 * [backup-simplify]: Simplify (+ 1 0) into 1
2.904 * [backup-simplify]: Simplify (/ 1 1) into 1
2.904 * [backup-simplify]: Simplify (sqrt 1) into 1
2.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.909 * [taylor]: Taking taylor expansion of 0 in b
2.909 * [backup-simplify]: Simplify 0 into 0
2.909 * [taylor]: Taking taylor expansion of 1 in d
2.909 * [backup-simplify]: Simplify 1 into 1
2.909 * [backup-simplify]: Simplify 1 into 1
2.910 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.910 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.911 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.913 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.917 * [backup-simplify]: Simplify (+ 0 0) into 0
2.917 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
2.917 * [taylor]: Taking taylor expansion of 0 in c
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [taylor]: Taking taylor expansion of 0 in b
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
2.917 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.917 * [taylor]: Taking taylor expansion of (* b d) in b
2.917 * [taylor]: Taking taylor expansion of b in b
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 1 into 1
2.917 * [taylor]: Taking taylor expansion of d in b
2.917 * [backup-simplify]: Simplify d into d
2.917 * [backup-simplify]: Simplify (* 0 d) into 0
2.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.918 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.918 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.918 * [taylor]: Taking taylor expansion of d in d
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (/ 1 1) into 1
2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
2.924 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
2.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
2.925 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
2.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
2.925 * [taylor]: Taking taylor expansion of 1/2 in b
2.925 * [backup-simplify]: Simplify 1/2 into 1/2
2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
2.925 * [taylor]: Taking taylor expansion of (pow d 2) in b
2.925 * [taylor]: Taking taylor expansion of d in b
2.925 * [backup-simplify]: Simplify d into d
2.925 * [backup-simplify]: Simplify (* d d) into (pow d 2)
2.925 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
2.925 * [taylor]: Taking taylor expansion of 0 in d
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [taylor]: Taking taylor expansion of 0 in d
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
2.927 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
2.928 * [backup-simplify]: Simplify (+ 0 0) into 0
2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
2.930 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.932 * [backup-simplify]: Simplify (+ 0 0) into 0
2.933 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
2.933 * [taylor]: Taking taylor expansion of 0 in c
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [taylor]: Taking taylor expansion of 0 in b
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [taylor]: Taking taylor expansion of 0 in b
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.934 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
2.934 * [taylor]: Taking taylor expansion of 0 in b
2.934 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
2.938 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
2.941 * [taylor]: Taking taylor expansion of 0 in b
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [taylor]: Taking taylor expansion of 0 in d
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.942 * [taylor]: Taking taylor expansion of 0 in d
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
2.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.942 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
2.942 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
2.942 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
2.942 * [taylor]: Taking taylor expansion of (* a c) in d
2.942 * [taylor]: Taking taylor expansion of a in d
2.942 * [backup-simplify]: Simplify a into a
2.942 * [taylor]: Taking taylor expansion of c in d
2.942 * [backup-simplify]: Simplify c into c
2.942 * [taylor]: Taking taylor expansion of (* b d) in d
2.942 * [taylor]: Taking taylor expansion of b in d
2.943 * [backup-simplify]: Simplify b into b
2.943 * [taylor]: Taking taylor expansion of d in d
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
2.943 * [taylor]: Taking taylor expansion of (* a c) in b
2.943 * [taylor]: Taking taylor expansion of a in b
2.943 * [backup-simplify]: Simplify a into a
2.943 * [taylor]: Taking taylor expansion of c in b
2.943 * [backup-simplify]: Simplify c into c
2.943 * [taylor]: Taking taylor expansion of (* b d) in b
2.943 * [taylor]: Taking taylor expansion of b in b
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [taylor]: Taking taylor expansion of d in b
2.943 * [backup-simplify]: Simplify d into d
2.943 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
2.943 * [taylor]: Taking taylor expansion of (* a c) in c
2.943 * [taylor]: Taking taylor expansion of a in c
2.943 * [backup-simplify]: Simplify a into a
2.943 * [taylor]: Taking taylor expansion of c in c
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [taylor]: Taking taylor expansion of (* b d) in c
2.943 * [taylor]: Taking taylor expansion of b in c
2.943 * [backup-simplify]: Simplify b into b
2.943 * [taylor]: Taking taylor expansion of d in c
2.943 * [backup-simplify]: Simplify d into d
2.943 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.943 * [taylor]: Taking taylor expansion of (* a c) in a
2.943 * [taylor]: Taking taylor expansion of a in a
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [taylor]: Taking taylor expansion of c in a
2.943 * [backup-simplify]: Simplify c into c
2.943 * [taylor]: Taking taylor expansion of (* b d) in a
2.944 * [taylor]: Taking taylor expansion of b in a
2.944 * [backup-simplify]: Simplify b into b
2.944 * [taylor]: Taking taylor expansion of d in a
2.944 * [backup-simplify]: Simplify d into d
2.944 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
2.944 * [taylor]: Taking taylor expansion of (* a c) in a
2.944 * [taylor]: Taking taylor expansion of a in a
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify 1 into 1
2.944 * [taylor]: Taking taylor expansion of c in a
2.944 * [backup-simplify]: Simplify c into c
2.944 * [taylor]: Taking taylor expansion of (* b d) in a
2.944 * [taylor]: Taking taylor expansion of b in a
2.944 * [backup-simplify]: Simplify b into b
2.944 * [taylor]: Taking taylor expansion of d in a
2.944 * [backup-simplify]: Simplify d into d
2.944 * [backup-simplify]: Simplify (* 0 c) into 0
2.944 * [backup-simplify]: Simplify (* b d) into (* b d)
2.944 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
2.944 * [taylor]: Taking taylor expansion of (* b d) in c
2.944 * [taylor]: Taking taylor expansion of b in c
2.944 * [backup-simplify]: Simplify b into b
2.944 * [taylor]: Taking taylor expansion of d in c
2.944 * [backup-simplify]: Simplify d into d
2.944 * [backup-simplify]: Simplify (* b d) into (* b d)
2.944 * [taylor]: Taking taylor expansion of (* b d) in b
2.944 * [taylor]: Taking taylor expansion of b in b
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify 1 into 1
2.944 * [taylor]: Taking taylor expansion of d in b
2.944 * [backup-simplify]: Simplify d into d
2.944 * [backup-simplify]: Simplify (* 0 d) into 0
2.945 * [taylor]: Taking taylor expansion of 0 in d
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.945 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.945 * [backup-simplify]: Simplify (+ c 0) into c
2.945 * [taylor]: Taking taylor expansion of c in c
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 1 into 1
2.945 * [taylor]: Taking taylor expansion of 0 in b
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [taylor]: Taking taylor expansion of 0 in d
2.945 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.946 * [taylor]: Taking taylor expansion of 0 in b
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [taylor]: Taking taylor expansion of 0 in d
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.946 * [taylor]: Taking taylor expansion of d in d
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.948 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.948 * [backup-simplify]: Simplify (+ 0 0) into 0
2.948 * [taylor]: Taking taylor expansion of 0 in c
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [taylor]: Taking taylor expansion of 0 in b
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [taylor]: Taking taylor expansion of 0 in d
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
2.948 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
2.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.948 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.948 * [taylor]: Taking taylor expansion of (* b d) in d
2.949 * [taylor]: Taking taylor expansion of b in d
2.949 * [backup-simplify]: Simplify b into b
2.949 * [taylor]: Taking taylor expansion of d in d
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify (* b 0) into 0
2.949 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.949 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.949 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.949 * [taylor]: Taking taylor expansion of (* a c) in d
2.949 * [taylor]: Taking taylor expansion of a in d
2.949 * [backup-simplify]: Simplify a into a
2.949 * [taylor]: Taking taylor expansion of c in d
2.949 * [backup-simplify]: Simplify c into c
2.949 * [backup-simplify]: Simplify (* a c) into (* a c)
2.949 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.949 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.949 * [taylor]: Taking taylor expansion of (* b d) in b
2.949 * [taylor]: Taking taylor expansion of b in b
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.950 * [taylor]: Taking taylor expansion of d in b
2.950 * [backup-simplify]: Simplify d into d
2.950 * [backup-simplify]: Simplify (* 0 d) into 0
2.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.950 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.950 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.950 * [taylor]: Taking taylor expansion of (* a c) in b
2.950 * [taylor]: Taking taylor expansion of a in b
2.950 * [backup-simplify]: Simplify a into a
2.950 * [taylor]: Taking taylor expansion of c in b
2.950 * [backup-simplify]: Simplify c into c
2.950 * [backup-simplify]: Simplify (* a c) into (* a c)
2.950 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.950 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.950 * [taylor]: Taking taylor expansion of (* b d) in c
2.950 * [taylor]: Taking taylor expansion of b in c
2.950 * [backup-simplify]: Simplify b into b
2.950 * [taylor]: Taking taylor expansion of d in c
2.951 * [backup-simplify]: Simplify d into d
2.951 * [backup-simplify]: Simplify (* b d) into (* b d)
2.951 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.951 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.951 * [taylor]: Taking taylor expansion of (* a c) in c
2.951 * [taylor]: Taking taylor expansion of a in c
2.951 * [backup-simplify]: Simplify a into a
2.951 * [taylor]: Taking taylor expansion of c in c
2.951 * [backup-simplify]: Simplify 0 into 0
2.951 * [backup-simplify]: Simplify 1 into 1
2.951 * [backup-simplify]: Simplify (* a 0) into 0
2.951 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.951 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.951 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.951 * [taylor]: Taking taylor expansion of (* b d) in a
2.951 * [taylor]: Taking taylor expansion of b in a
2.951 * [backup-simplify]: Simplify b into b
2.951 * [taylor]: Taking taylor expansion of d in a
2.952 * [backup-simplify]: Simplify d into d
2.952 * [backup-simplify]: Simplify (* b d) into (* b d)
2.952 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.952 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.952 * [taylor]: Taking taylor expansion of (* a c) in a
2.952 * [taylor]: Taking taylor expansion of a in a
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [taylor]: Taking taylor expansion of c in a
2.952 * [backup-simplify]: Simplify c into c
2.952 * [backup-simplify]: Simplify (* 0 c) into 0
2.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.952 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.952 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.952 * [taylor]: Taking taylor expansion of (* b d) in a
2.952 * [taylor]: Taking taylor expansion of b in a
2.952 * [backup-simplify]: Simplify b into b
2.952 * [taylor]: Taking taylor expansion of d in a
2.953 * [backup-simplify]: Simplify d into d
2.953 * [backup-simplify]: Simplify (* b d) into (* b d)
2.953 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.953 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.953 * [taylor]: Taking taylor expansion of (* a c) in a
2.953 * [taylor]: Taking taylor expansion of a in a
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [taylor]: Taking taylor expansion of c in a
2.953 * [backup-simplify]: Simplify c into c
2.953 * [backup-simplify]: Simplify (* 0 c) into 0
2.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.953 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.953 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.954 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.954 * [taylor]: Taking taylor expansion of c in c
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 1 into 1
2.954 * [backup-simplify]: Simplify (/ 1 1) into 1
2.954 * [taylor]: Taking taylor expansion of 1 in b
2.954 * [backup-simplify]: Simplify 1 into 1
2.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.955 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.955 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.955 * [taylor]: Taking taylor expansion of (* b d) in c
2.955 * [taylor]: Taking taylor expansion of b in c
2.955 * [backup-simplify]: Simplify b into b
2.955 * [taylor]: Taking taylor expansion of d in c
2.955 * [backup-simplify]: Simplify d into d
2.955 * [backup-simplify]: Simplify (* b d) into (* b d)
2.955 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.956 * [taylor]: Taking taylor expansion of 0 in b
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [taylor]: Taking taylor expansion of 1 in d
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.958 * [backup-simplify]: Simplify (+ 0 0) into 0
2.958 * [taylor]: Taking taylor expansion of 0 in c
2.958 * [backup-simplify]: Simplify 0 into 0
2.959 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.959 * [taylor]: Taking taylor expansion of (* b d) in b
2.959 * [taylor]: Taking taylor expansion of b in b
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [taylor]: Taking taylor expansion of d in b
2.959 * [backup-simplify]: Simplify d into d
2.959 * [backup-simplify]: Simplify (* 0 d) into 0
2.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.959 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.959 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.959 * [taylor]: Taking taylor expansion of d in d
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.960 * [backup-simplify]: Simplify (/ 1 1) into 1
2.960 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.961 * [taylor]: Taking taylor expansion of 0 in b
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [taylor]: Taking taylor expansion of 0 in d
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [taylor]: Taking taylor expansion of 0 in d
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.964 * [backup-simplify]: Simplify (+ 0 0) into 0
2.964 * [taylor]: Taking taylor expansion of 0 in c
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [taylor]: Taking taylor expansion of 0 in b
2.964 * [backup-simplify]: Simplify 0 into 0
2.964 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.964 * [taylor]: Taking taylor expansion of 0 in b
2.964 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [taylor]: Taking taylor expansion of 0 in b
2.965 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.966 * [taylor]: Taking taylor expansion of 0 in d
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [taylor]: Taking taylor expansion of 0 in d
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [taylor]: Taking taylor expansion of 0 in d
2.966 * [backup-simplify]: Simplify 0 into 0
2.967 * [taylor]: Taking taylor expansion of 0 in d
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.968 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [taylor]: Taking taylor expansion of 0 in c
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [taylor]: Taking taylor expansion of 0 in b
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [taylor]: Taking taylor expansion of 0 in b
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.973 * [taylor]: Taking taylor expansion of 0 in b
2.973 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.974 * [taylor]: Taking taylor expansion of 0 in b
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in d
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in d
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in d
2.974 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
2.975 * [taylor]: Taking taylor expansion of 0 in d
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [taylor]: Taking taylor expansion of 0 in d
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [taylor]: Taking taylor expansion of 0 in d
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [taylor]: Taking taylor expansion of 0 in d
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d))
2.977 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
2.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
2.977 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
2.977 * [taylor]: Taking taylor expansion of (* b d) in d
2.977 * [taylor]: Taking taylor expansion of b in d
2.977 * [backup-simplify]: Simplify b into b
2.977 * [taylor]: Taking taylor expansion of d in d
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (* b 0) into 0
2.978 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
2.978 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
2.978 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
2.978 * [taylor]: Taking taylor expansion of (* a c) in d
2.978 * [taylor]: Taking taylor expansion of a in d
2.978 * [backup-simplify]: Simplify a into a
2.978 * [taylor]: Taking taylor expansion of c in d
2.978 * [backup-simplify]: Simplify c into c
2.978 * [backup-simplify]: Simplify (* a c) into (* a c)
2.978 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
2.978 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.978 * [taylor]: Taking taylor expansion of (* b d) in b
2.978 * [taylor]: Taking taylor expansion of b in b
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.978 * [taylor]: Taking taylor expansion of d in b
2.978 * [backup-simplify]: Simplify d into d
2.978 * [backup-simplify]: Simplify (* 0 d) into 0
2.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.979 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.979 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
2.979 * [taylor]: Taking taylor expansion of (* a c) in b
2.979 * [taylor]: Taking taylor expansion of a in b
2.979 * [backup-simplify]: Simplify a into a
2.979 * [taylor]: Taking taylor expansion of c in b
2.979 * [backup-simplify]: Simplify c into c
2.979 * [backup-simplify]: Simplify (* a c) into (* a c)
2.979 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
2.979 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.979 * [taylor]: Taking taylor expansion of (* b d) in c
2.979 * [taylor]: Taking taylor expansion of b in c
2.979 * [backup-simplify]: Simplify b into b
2.979 * [taylor]: Taking taylor expansion of d in c
2.979 * [backup-simplify]: Simplify d into d
2.979 * [backup-simplify]: Simplify (* b d) into (* b d)
2.979 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.979 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
2.979 * [taylor]: Taking taylor expansion of (* a c) in c
2.979 * [taylor]: Taking taylor expansion of a in c
2.979 * [backup-simplify]: Simplify a into a
2.979 * [taylor]: Taking taylor expansion of c in c
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 1 into 1
2.980 * [backup-simplify]: Simplify (* a 0) into 0
2.980 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
2.980 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.980 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.980 * [taylor]: Taking taylor expansion of (* b d) in a
2.980 * [taylor]: Taking taylor expansion of b in a
2.980 * [backup-simplify]: Simplify b into b
2.980 * [taylor]: Taking taylor expansion of d in a
2.980 * [backup-simplify]: Simplify d into d
2.980 * [backup-simplify]: Simplify (* b d) into (* b d)
2.980 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.980 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.980 * [taylor]: Taking taylor expansion of (* a c) in a
2.980 * [taylor]: Taking taylor expansion of a in a
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 1 into 1
2.980 * [taylor]: Taking taylor expansion of c in a
2.980 * [backup-simplify]: Simplify c into c
2.981 * [backup-simplify]: Simplify (* 0 c) into 0
2.981 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.981 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
2.981 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
2.981 * [taylor]: Taking taylor expansion of (* b d) in a
2.981 * [taylor]: Taking taylor expansion of b in a
2.981 * [backup-simplify]: Simplify b into b
2.981 * [taylor]: Taking taylor expansion of d in a
2.981 * [backup-simplify]: Simplify d into d
2.981 * [backup-simplify]: Simplify (* b d) into (* b d)
2.981 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.981 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
2.981 * [taylor]: Taking taylor expansion of (* a c) in a
2.981 * [taylor]: Taking taylor expansion of a in a
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.981 * [taylor]: Taking taylor expansion of c in a
2.981 * [backup-simplify]: Simplify c into c
2.982 * [backup-simplify]: Simplify (* 0 c) into 0
2.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
2.982 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
2.982 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
2.982 * [taylor]: Taking taylor expansion of (/ 1 c) in c
2.982 * [taylor]: Taking taylor expansion of c in c
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.983 * [backup-simplify]: Simplify (/ 1 1) into 1
2.983 * [taylor]: Taking taylor expansion of 1 in b
2.983 * [backup-simplify]: Simplify 1 into 1
2.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
2.984 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
2.984 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
2.984 * [taylor]: Taking taylor expansion of (* b d) in c
2.984 * [taylor]: Taking taylor expansion of b in c
2.984 * [backup-simplify]: Simplify b into b
2.984 * [taylor]: Taking taylor expansion of d in c
2.984 * [backup-simplify]: Simplify d into d
2.984 * [backup-simplify]: Simplify (* b d) into (* b d)
2.984 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.985 * [taylor]: Taking taylor expansion of 0 in b
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [taylor]: Taking taylor expansion of 1 in d
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
2.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.987 * [taylor]: Taking taylor expansion of 0 in c
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
2.987 * [taylor]: Taking taylor expansion of (* b d) in b
2.987 * [taylor]: Taking taylor expansion of b in b
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [taylor]: Taking taylor expansion of d in b
2.987 * [backup-simplify]: Simplify d into d
2.987 * [backup-simplify]: Simplify (* 0 d) into 0
2.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
2.988 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
2.988 * [taylor]: Taking taylor expansion of (/ 1 d) in d
2.988 * [taylor]: Taking taylor expansion of d in d
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [backup-simplify]: Simplify (/ 1 1) into 1
2.988 * [backup-simplify]: Simplify 1 into 1
2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.989 * [taylor]: Taking taylor expansion of 0 in b
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [taylor]: Taking taylor expansion of 0 in d
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [taylor]: Taking taylor expansion of 0 in d
2.989 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
2.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
2.992 * [backup-simplify]: Simplify (+ 0 0) into 0
2.992 * [taylor]: Taking taylor expansion of 0 in c
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [taylor]: Taking taylor expansion of 0 in b
2.993 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
2.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
2.993 * [taylor]: Taking taylor expansion of 0 in b
2.993 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.994 * [taylor]: Taking taylor expansion of 0 in b
2.994 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
2.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
2.995 * [taylor]: Taking taylor expansion of 0 in d
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [taylor]: Taking taylor expansion of 0 in d
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [taylor]: Taking taylor expansion of 0 in d
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [taylor]: Taking taylor expansion of 0 in d
2.995 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
2.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
2.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
2.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
3.000 * [backup-simplify]: Simplify (+ 0 0) into 0
3.000 * [taylor]: Taking taylor expansion of 0 in c
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [taylor]: Taking taylor expansion of 0 in b
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [taylor]: Taking taylor expansion of 0 in b
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
3.001 * [taylor]: Taking taylor expansion of 0 in b
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.001 * [taylor]: Taking taylor expansion of 0 in b
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [taylor]: Taking taylor expansion of 0 in d
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [taylor]: Taking taylor expansion of 0 in d
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [taylor]: Taking taylor expansion of 0 in d
3.002 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
3.003 * [taylor]: Taking taylor expansion of 0 in d
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [taylor]: Taking taylor expansion of 0 in d
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [taylor]: Taking taylor expansion of 0 in d
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [taylor]: Taking taylor expansion of 0 in d
3.003 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [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))
3.004 * * * [progress]: simplifying candidates
3.004 * * * * [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)))>
3.005 * * * * [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)))>
3.005 * * * * [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)))))))>
3.005 * * * * [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)))))))>
3.005 * * * * [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)))))))>
3.005 * * * * [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)))))))>
3.005 * * * * [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)))))))>
3.005 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
3.005 * * [simplify]: iters left: 6 (8 enodes)
3.009 * * [simplify]: iters left: 5 (26 enodes)
3.016 * * [simplify]: Extracting #0: cost 1 inf + 0
3.016 * * [simplify]: Extracting #1: cost 4 inf + 0
3.016 * * [simplify]: Extracting #2: cost 7 inf + 0
3.016 * * [simplify]: Extracting #3: cost 10 inf + 0
3.016 * * [simplify]: Extracting #4: cost 14 inf + 0
3.016 * * [simplify]: Extracting #5: cost 10 inf + 84
3.016 * * [simplify]: Extracting #6: cost 8 inf + 166
3.016 * * [simplify]: Extracting #7: cost 4 inf + 854
3.017 * * [simplify]: Extracting #8: cost 1 inf + 1540
3.018 * * [simplify]: Extracting #9: cost 0 inf + 1782
3.018 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
3.018 * [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)))))))
3.019 * * * * [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)))))))>
3.019 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
3.019 * * [simplify]: iters left: 6 (7 enodes)
3.022 * * [simplify]: iters left: 5 (22 enodes)
3.028 * * [simplify]: Extracting #0: cost 1 inf + 0
3.028 * * [simplify]: Extracting #1: cost 3 inf + 0
3.028 * * [simplify]: Extracting #2: cost 5 inf + 0
3.028 * * [simplify]: Extracting #3: cost 8 inf + 0
3.028 * * [simplify]: Extracting #4: cost 12 inf + 0
3.028 * * [simplify]: Extracting #5: cost 10 inf + 2
3.028 * * [simplify]: Extracting #6: cost 1 inf + 936
3.029 * * [simplify]: Extracting #7: cost 0 inf + 1138
3.029 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
3.029 * [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)))))))
3.029 * * * * [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))))))>
3.030 * [simplify]: Simplifying (sqrt 1)
3.030 * * [simplify]: iters left: 1 (2 enodes)
3.033 * * [simplify]: Extracting #0: cost 1 inf + 0
3.033 * * [simplify]: Extracting #1: cost 0 inf + 1
3.033 * [simplify]: Simplified to 1
3.033 * [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))))))
3.034 * * * * [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))))))))>
3.034 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
3.034 * * [simplify]: iters left: 6 (9 enodes)
3.039 * * [simplify]: iters left: 5 (45 enodes)
3.050 * * [simplify]: iters left: 4 (100 enodes)
3.077 * * [simplify]: iters left: 3 (201 enodes)
3.134 * * [simplify]: iters left: 2 (406 enodes)
3.264 * * [simplify]: Extracting #0: cost 1 inf + 0
3.264 * * [simplify]: Extracting #1: cost 3 inf + 0
3.264 * * [simplify]: Extracting #2: cost 6 inf + 0
3.264 * * [simplify]: Extracting #3: cost 62 inf + 0
3.265 * * [simplify]: Extracting #4: cost 166 inf + 460
3.268 * * [simplify]: Extracting #5: cost 131 inf + 12951
3.275 * * [simplify]: Extracting #6: cost 49 inf + 45746
3.286 * * [simplify]: Extracting #7: cost 1 inf + 66256
3.297 * * [simplify]: Extracting #8: cost 0 inf + 65919
3.302 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
3.302 * [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))))))))
3.302 * * * * [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))))))>
3.303 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
3.303 * * [simplify]: iters left: 6 (8 enodes)
3.305 * * [simplify]: iters left: 5 (37 enodes)
3.311 * * [simplify]: iters left: 4 (67 enodes)
3.325 * * [simplify]: iters left: 3 (123 enodes)
3.365 * * [simplify]: iters left: 2 (278 enodes)
3.511 * * [simplify]: Extracting #0: cost 1 inf + 0
3.511 * * [simplify]: Extracting #1: cost 3 inf + 0
3.512 * * [simplify]: Extracting #2: cost 50 inf + 0
3.512 * * [simplify]: Extracting #3: cost 150 inf + 0
3.513 * * [simplify]: Extracting #4: cost 194 inf + 1180
3.515 * * [simplify]: Extracting #5: cost 123 inf + 12421
3.524 * * [simplify]: Extracting #6: cost 12 inf + 33804
3.535 * * [simplify]: Extracting #7: cost 0 inf + 36129
3.547 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
3.547 * [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))))))
3.547 * * * * [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))))>
3.548 * [simplify]: Simplifying (+ (* c c) (* d d))
3.548 * * [simplify]: iters left: 4 (5 enodes)
3.549 * * [simplify]: iters left: 3 (16 enodes)
3.551 * * [simplify]: Extracting #0: cost 1 inf + 0
3.551 * * [simplify]: Extracting #1: cost 4 inf + 0
3.551 * * [simplify]: Extracting #2: cost 8 inf + 0
3.551 * * [simplify]: Extracting #3: cost 4 inf + 84
3.551 * * [simplify]: Extracting #4: cost 0 inf + 410
3.552 * [simplify]: Simplified to (+ (* c c) (* d d))
3.552 * [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))))
3.552 * * * * [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)))))))>
3.552 * * * * [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))))))>
3.552 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
3.552 * * [simplify]: iters left: 5 (6 enodes)
3.553 * * [simplify]: iters left: 4 (19 enodes)
3.556 * * [simplify]: Extracting #0: cost 1 inf + 0
3.556 * * [simplify]: Extracting #1: cost 3 inf + 0
3.556 * * [simplify]: Extracting #2: cost 6 inf + 0
3.556 * * [simplify]: Extracting #3: cost 10 inf + 0
3.556 * * [simplify]: Extracting #4: cost 6 inf + 84
3.556 * * [simplify]: Extracting #5: cost 0 inf + 734
3.556 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
3.556 * [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))))))
3.556 * * * * [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))))))>
3.556 * * * * [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)))))))>
3.556 * * * * [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)))))>
3.556 * * * * [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)))))>
3.557 * * * * [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)))))>
3.557 * * * * [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)))))>
3.557 * * * * [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)))))>
3.557 * * * * [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)))))>
3.557 * * * * [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)))))>
3.557 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
3.557 * * [simplify]: iters left: 6 (8 enodes)
3.559 * * [simplify]: iters left: 5 (26 enodes)
3.562 * * [simplify]: Extracting #0: cost 1 inf + 0
3.562 * * [simplify]: Extracting #1: cost 4 inf + 0
3.562 * * [simplify]: Extracting #2: cost 7 inf + 0
3.562 * * [simplify]: Extracting #3: cost 10 inf + 0
3.562 * * [simplify]: Extracting #4: cost 14 inf + 0
3.562 * * [simplify]: Extracting #5: cost 10 inf + 84
3.562 * * [simplify]: Extracting #6: cost 8 inf + 166
3.562 * * [simplify]: Extracting #7: cost 4 inf + 854
3.563 * * [simplify]: Extracting #8: cost 1 inf + 1540
3.563 * * [simplify]: Extracting #9: cost 0 inf + 1782
3.563 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
3.563 * [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)))))
3.563 * * * * [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)))))>
3.563 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
3.563 * * [simplify]: iters left: 6 (7 enodes)
3.565 * * [simplify]: iters left: 5 (22 enodes)
3.568 * * [simplify]: Extracting #0: cost 1 inf + 0
3.568 * * [simplify]: Extracting #1: cost 3 inf + 0
3.568 * * [simplify]: Extracting #2: cost 5 inf + 0
3.568 * * [simplify]: Extracting #3: cost 8 inf + 0
3.568 * * [simplify]: Extracting #4: cost 12 inf + 0
3.568 * * [simplify]: Extracting #5: cost 10 inf + 2
3.568 * * [simplify]: Extracting #6: cost 1 inf + 936
3.568 * * [simplify]: Extracting #7: cost 0 inf + 1138
3.568 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
3.568 * [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)))))
3.568 * * * * [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)))))>
3.569 * [simplify]: Simplifying (sqrt 1)
3.569 * * [simplify]: iters left: 1 (2 enodes)
3.571 * * [simplify]: Extracting #0: cost 1 inf + 0
3.571 * * [simplify]: Extracting #1: cost 0 inf + 1
3.571 * [simplify]: Simplified to 1
3.571 * [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)))))
3.571 * * * * [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)))))>
3.571 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
3.571 * * [simplify]: iters left: 6 (9 enodes)
3.575 * * [simplify]: iters left: 5 (45 enodes)
3.592 * * [simplify]: iters left: 4 (100 enodes)
3.617 * * [simplify]: iters left: 3 (201 enodes)
3.681 * * [simplify]: iters left: 2 (406 enodes)
3.808 * * [simplify]: Extracting #0: cost 1 inf + 0
3.808 * * [simplify]: Extracting #1: cost 3 inf + 0
3.808 * * [simplify]: Extracting #2: cost 6 inf + 0
3.808 * * [simplify]: Extracting #3: cost 62 inf + 0
3.808 * * [simplify]: Extracting #4: cost 166 inf + 460
3.810 * * [simplify]: Extracting #5: cost 131 inf + 12951
3.813 * * [simplify]: Extracting #6: cost 49 inf + 45746
3.819 * * [simplify]: Extracting #7: cost 1 inf + 66256
3.824 * * [simplify]: Extracting #8: cost 0 inf + 65919
3.830 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
3.830 * [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)))))
3.830 * * * * [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)))))>
3.830 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
3.830 * * [simplify]: iters left: 6 (8 enodes)
3.832 * * [simplify]: iters left: 5 (37 enodes)
3.844 * * [simplify]: iters left: 4 (67 enodes)
3.867 * * [simplify]: iters left: 3 (123 enodes)
3.915 * * [simplify]: iters left: 2 (278 enodes)
4.027 * * [simplify]: Extracting #0: cost 1 inf + 0
4.027 * * [simplify]: Extracting #1: cost 3 inf + 0
4.027 * * [simplify]: Extracting #2: cost 50 inf + 0
4.028 * * [simplify]: Extracting #3: cost 150 inf + 0
4.030 * * [simplify]: Extracting #4: cost 194 inf + 1180
4.034 * * [simplify]: Extracting #5: cost 123 inf + 12421
4.047 * * [simplify]: Extracting #6: cost 12 inf + 33804
4.062 * * [simplify]: Extracting #7: cost 0 inf + 36129
4.082 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
4.082 * [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)))))
4.082 * * * * [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)))))>
4.082 * [simplify]: Simplifying (+ (* c c) (* d d))
4.083 * * [simplify]: iters left: 4 (5 enodes)
4.085 * * [simplify]: iters left: 3 (16 enodes)
4.089 * * [simplify]: Extracting #0: cost 1 inf + 0
4.090 * * [simplify]: Extracting #1: cost 4 inf + 0
4.090 * * [simplify]: Extracting #2: cost 8 inf + 0
4.090 * * [simplify]: Extracting #3: cost 4 inf + 84
4.090 * * [simplify]: Extracting #4: cost 0 inf + 410
4.090 * [simplify]: Simplified to (+ (* c c) (* d d))
4.090 * [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)))))
4.090 * * * * [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)))))>
4.090 * * * * [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)))))>
4.091 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
4.091 * * [simplify]: iters left: 5 (6 enodes)
4.093 * * [simplify]: iters left: 4 (19 enodes)
4.099 * * [simplify]: Extracting #0: cost 1 inf + 0
4.099 * * [simplify]: Extracting #1: cost 3 inf + 0
4.099 * * [simplify]: Extracting #2: cost 6 inf + 0
4.099 * * [simplify]: Extracting #3: cost 10 inf + 0
4.099 * * [simplify]: Extracting #4: cost 6 inf + 84
4.099 * * [simplify]: Extracting #5: cost 0 inf + 734
4.099 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
4.099 * [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)))))
4.100 * * * * [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)))))>
4.100 * * * * [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)))))>
4.100 * * * * [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)))))>
4.100 * * * * [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)))))>
4.100 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
4.100 * * [simplify]: iters left: 6 (14 enodes)
4.106 * * [simplify]: iters left: 5 (48 enodes)
4.119 * * [simplify]: iters left: 4 (51 enodes)
4.133 * * [simplify]: Extracting #0: cost 1 inf + 0
4.133 * * [simplify]: Extracting #1: cost 5 inf + 0
4.133 * * [simplify]: Extracting #2: cost 10 inf + 0
4.133 * * [simplify]: Extracting #3: cost 15 inf + 0
4.133 * * [simplify]: Extracting #4: cost 24 inf + 0
4.133 * * [simplify]: Extracting #5: cost 19 inf + 129
4.134 * * [simplify]: Extracting #6: cost 11 inf + 931
4.134 * * [simplify]: Extracting #7: cost 4 inf + 2236
4.135 * * [simplify]: Extracting #8: cost 0 inf + 3476
4.136 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))
4.136 * [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)))))
4.137 * * * * [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)))))>
4.137 * * * * [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)))))>
4.137 * * * * [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)))))>
4.137 * [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)))))
4.137 * * [simplify]: iters left: 6 (16 enodes)
4.145 * * [simplify]: iters left: 5 (71 enodes)
4.174 * * [simplify]: iters left: 4 (220 enodes)
4.266 * * [simplify]: Extracting #0: cost 1 inf + 0
4.266 * * [simplify]: Extracting #1: cost 30 inf + 0
4.267 * * [simplify]: Extracting #2: cost 82 inf + 1
4.268 * * [simplify]: Extracting #3: cost 194 inf + 1
4.270 * * [simplify]: Extracting #4: cost 161 inf + 5363
4.284 * * [simplify]: Extracting #5: cost 29 inf + 35105
4.304 * * [simplify]: Extracting #6: cost 1 inf + 43538
4.329 * * [simplify]: Extracting #7: cost 0 inf + 43740
4.349 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))
4.349 * [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)))))
4.350 * * * * [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)))))>
4.350 * * * * [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)))))>
4.350 * * * * [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)))))>
4.350 * * * * [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)))))>
4.350 * * * * [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)))))>
4.350 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
4.350 * * [simplify]: iters left: 6 (16 enodes)
4.357 * * [simplify]: iters left: 5 (58 enodes)
4.367 * * [simplify]: iters left: 4 (73 enodes)
4.377 * * [simplify]: iters left: 3 (80 enodes)
4.387 * * [simplify]: iters left: 2 (83 enodes)
4.397 * * [simplify]: Extracting #0: cost 1 inf + 0
4.397 * * [simplify]: Extracting #1: cost 11 inf + 0
4.397 * * [simplify]: Extracting #2: cost 22 inf + 0
4.397 * * [simplify]: Extracting #3: cost 27 inf + 0
4.397 * * [simplify]: Extracting #4: cost 36 inf + 0
4.397 * * [simplify]: Extracting #5: cost 33 inf + 46
4.398 * * [simplify]: Extracting #6: cost 14 inf + 2774
4.399 * * [simplify]: Extracting #7: cost 2 inf + 8296
4.401 * * [simplify]: Extracting #8: cost 0 inf + 9224
4.404 * [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))))))
4.404 * [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)))))
4.404 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
4.404 * * [simplify]: iters left: 6 (14 enodes)
4.410 * * [simplify]: iters left: 5 (46 enodes)
4.422 * * [simplify]: Extracting #0: cost 1 inf + 0
4.422 * * [simplify]: Extracting #1: cost 4 inf + 0
4.422 * * [simplify]: Extracting #2: cost 8 inf + 0
4.422 * * [simplify]: Extracting #3: cost 13 inf + 0
4.422 * * [simplify]: Extracting #4: cost 22 inf + 0
4.422 * * [simplify]: Extracting #5: cost 17 inf + 129
4.423 * * [simplify]: Extracting #6: cost 8 inf + 992
4.423 * * [simplify]: Extracting #7: cost 2 inf + 2366
4.424 * * [simplify]: Extracting #8: cost 0 inf + 3012
4.425 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
4.425 * [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)))))
4.426 * * * * [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)))))>
4.426 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
4.427 * * [simplify]: iters left: 6 (16 enodes)
4.435 * * [simplify]: iters left: 5 (55 enodes)
4.449 * * [simplify]: iters left: 4 (59 enodes)
4.465 * * [simplify]: iters left: 3 (62 enodes)
4.481 * * [simplify]: Extracting #0: cost 1 inf + 0
4.481 * * [simplify]: Extracting #1: cost 7 inf + 0
4.481 * * [simplify]: Extracting #2: cost 15 inf + 0
4.481 * * [simplify]: Extracting #3: cost 21 inf + 0
4.482 * * [simplify]: Extracting #4: cost 30 inf + 0
4.482 * * [simplify]: Extracting #5: cost 26 inf + 87
4.482 * * [simplify]: Extracting #6: cost 9 inf + 2370
4.484 * * [simplify]: Extracting #7: cost 1 inf + 5596
4.485 * * [simplify]: Extracting #8: cost 0 inf + 6080
4.486 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c)))))
4.486 * [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)))))
4.486 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
4.486 * * [simplify]: iters left: 6 (14 enodes)
4.490 * * [simplify]: iters left: 5 (46 enodes)
4.495 * * [simplify]: Extracting #0: cost 1 inf + 0
4.495 * * [simplify]: Extracting #1: cost 4 inf + 0
4.495 * * [simplify]: Extracting #2: cost 8 inf + 0
4.495 * * [simplify]: Extracting #3: cost 13 inf + 0
4.495 * * [simplify]: Extracting #4: cost 22 inf + 0
4.495 * * [simplify]: Extracting #5: cost 17 inf + 129
4.496 * * [simplify]: Extracting #6: cost 8 inf + 992
4.496 * * [simplify]: Extracting #7: cost 2 inf + 2406
4.496 * * [simplify]: Extracting #8: cost 0 inf + 3092
4.497 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
4.497 * [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)))))
4.497 * * * * [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)))))>
4.497 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.497 * * [simplify]: iters left: 6 (15 enodes)
4.500 * * [simplify]: iters left: 5 (51 enodes)
4.506 * * [simplify]: iters left: 4 (55 enodes)
4.513 * * [simplify]: iters left: 3 (58 enodes)
4.525 * * [simplify]: Extracting #0: cost 1 inf + 0
4.525 * * [simplify]: Extracting #1: cost 7 inf + 0
4.525 * * [simplify]: Extracting #2: cost 14 inf + 0
4.525 * * [simplify]: Extracting #3: cost 19 inf + 0
4.525 * * [simplify]: Extracting #4: cost 28 inf + 0
4.525 * * [simplify]: Extracting #5: cost 24 inf + 87
4.525 * * [simplify]: Extracting #6: cost 11 inf + 1518
4.526 * * [simplify]: Extracting #7: cost 1 inf + 4752
4.527 * * [simplify]: Extracting #8: cost 0 inf + 5196
4.527 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
4.527 * [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)))))
4.528 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.528 * * [simplify]: iters left: 6 (14 enodes)
4.530 * * [simplify]: iters left: 5 (46 enodes)
4.537 * * [simplify]: Extracting #0: cost 1 inf + 0
4.537 * * [simplify]: Extracting #1: cost 4 inf + 0
4.537 * * [simplify]: Extracting #2: cost 8 inf + 0
4.537 * * [simplify]: Extracting #3: cost 13 inf + 0
4.537 * * [simplify]: Extracting #4: cost 22 inf + 0
4.538 * * [simplify]: Extracting #5: cost 17 inf + 129
4.538 * * [simplify]: Extracting #6: cost 8 inf + 992
4.538 * * [simplify]: Extracting #7: cost 2 inf + 2246
4.539 * * [simplify]: Extracting #8: cost 0 inf + 2852
4.539 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.539 * [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)))))
4.539 * * * * [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)))))>
4.539 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
4.539 * * [simplify]: iters left: 6 (12 enodes)
4.543 * * [simplify]: iters left: 5 (43 enodes)
4.549 * * [simplify]: iters left: 4 (49 enodes)
4.559 * * [simplify]: iters left: 3 (53 enodes)
4.572 * * [simplify]: iters left: 2 (54 enodes)
4.585 * * [simplify]: Extracting #0: cost 1 inf + 0
4.585 * * [simplify]: Extracting #1: cost 5 inf + 0
4.585 * * [simplify]: Extracting #2: cost 7 inf + 1
4.586 * * [simplify]: Extracting #3: cost 10 inf + 1
4.586 * * [simplify]: Extracting #4: cost 16 inf + 1
4.586 * * [simplify]: Extracting #5: cost 10 inf + 89
4.586 * * [simplify]: Extracting #6: cost 3 inf + 1073
4.587 * * [simplify]: Extracting #7: cost 0 inf + 1807
4.588 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
4.588 * [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)))))
4.588 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
4.589 * * [simplify]: iters left: 6 (13 enodes)
4.594 * * [simplify]: iters left: 5 (43 enodes)
4.605 * * [simplify]: Extracting #0: cost 1 inf + 0
4.605 * * [simplify]: Extracting #1: cost 4 inf + 0
4.605 * * [simplify]: Extracting #2: cost 8 inf + 0
4.605 * * [simplify]: Extracting #3: cost 14 inf + 0
4.605 * * [simplify]: Extracting #4: cost 22 inf + 0
4.606 * * [simplify]: Extracting #5: cost 17 inf + 45
4.606 * * [simplify]: Extracting #6: cost 10 inf + 537
4.606 * * [simplify]: Extracting #7: cost 4 inf + 1232
4.607 * * [simplify]: Extracting #8: cost 1 inf + 1964
4.608 * * [simplify]: Extracting #9: cost 0 inf + 2368
4.609 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
4.609 * [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)))))
4.609 * * * * [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)))))>
4.609 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.609 * * [simplify]: iters left: 6 (15 enodes)
4.616 * * [simplify]: iters left: 5 (51 enodes)
4.630 * * [simplify]: iters left: 4 (55 enodes)
4.646 * * [simplify]: iters left: 3 (58 enodes)
4.659 * * [simplify]: Extracting #0: cost 1 inf + 0
4.659 * * [simplify]: Extracting #1: cost 7 inf + 0
4.659 * * [simplify]: Extracting #2: cost 14 inf + 0
4.659 * * [simplify]: Extracting #3: cost 19 inf + 0
4.659 * * [simplify]: Extracting #4: cost 28 inf + 0
4.659 * * [simplify]: Extracting #5: cost 24 inf + 87
4.659 * * [simplify]: Extracting #6: cost 11 inf + 1518
4.660 * * [simplify]: Extracting #7: cost 1 inf + 4752
4.661 * * [simplify]: Extracting #8: cost 0 inf + 5196
4.663 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
4.663 * [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)))))
4.663 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.663 * * [simplify]: iters left: 6 (14 enodes)
4.666 * * [simplify]: iters left: 5 (46 enodes)
4.672 * * [simplify]: Extracting #0: cost 1 inf + 0
4.672 * * [simplify]: Extracting #1: cost 4 inf + 0
4.672 * * [simplify]: Extracting #2: cost 8 inf + 0
4.672 * * [simplify]: Extracting #3: cost 13 inf + 0
4.672 * * [simplify]: Extracting #4: cost 22 inf + 0
4.672 * * [simplify]: Extracting #5: cost 17 inf + 129
4.672 * * [simplify]: Extracting #6: cost 8 inf + 992
4.673 * * [simplify]: Extracting #7: cost 2 inf + 2246
4.673 * * [simplify]: Extracting #8: cost 0 inf + 2852
4.673 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.674 * [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)))))
4.674 * * * * [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)))))>
4.674 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
4.674 * * [simplify]: iters left: 6 (11 enodes)
4.677 * * [simplify]: iters left: 5 (38 enodes)
4.682 * * [simplify]: iters left: 4 (48 enodes)
4.693 * * [simplify]: iters left: 3 (49 enodes)
4.699 * * [simplify]: Extracting #0: cost 1 inf + 0
4.699 * * [simplify]: Extracting #1: cost 5 inf + 0
4.699 * * [simplify]: Extracting #2: cost 7 inf + 1
4.699 * * [simplify]: Extracting #3: cost 10 inf + 1
4.699 * * [simplify]: Extracting #4: cost 16 inf + 1
4.699 * * [simplify]: Extracting #5: cost 11 inf + 47
4.699 * * [simplify]: Extracting #6: cost 5 inf + 828
4.700 * * [simplify]: Extracting #7: cost 0 inf + 1807
4.700 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
4.700 * [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)))))
4.700 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
4.700 * * [simplify]: iters left: 6 (13 enodes)
4.703 * * [simplify]: iters left: 5 (43 enodes)
4.708 * * [simplify]: Extracting #0: cost 1 inf + 0
4.708 * * [simplify]: Extracting #1: cost 4 inf + 0
4.708 * * [simplify]: Extracting #2: cost 8 inf + 0
4.708 * * [simplify]: Extracting #3: cost 14 inf + 0
4.708 * * [simplify]: Extracting #4: cost 22 inf + 0
4.708 * * [simplify]: Extracting #5: cost 17 inf + 45
4.708 * * [simplify]: Extracting #6: cost 10 inf + 537
4.709 * * [simplify]: Extracting #7: cost 4 inf + 1232
4.709 * * [simplify]: Extracting #8: cost 1 inf + 1964
4.709 * * [simplify]: Extracting #9: cost 0 inf + 2368
4.710 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
4.710 * [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)))))
4.710 * * * * [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)))))>
4.710 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
4.710 * * [simplify]: iters left: 6 (15 enodes)
4.713 * * [simplify]: iters left: 5 (51 enodes)
4.720 * * [simplify]: iters left: 4 (53 enodes)
4.732 * * [simplify]: Extracting #0: cost 1 inf + 0
4.732 * * [simplify]: Extracting #1: cost 6 inf + 0
4.732 * * [simplify]: Extracting #2: cost 12 inf + 0
4.733 * * [simplify]: Extracting #3: cost 17 inf + 0
4.733 * * [simplify]: Extracting #4: cost 26 inf + 0
4.733 * * [simplify]: Extracting #5: cost 22 inf + 87
4.733 * * [simplify]: Extracting #6: cost 14 inf + 707
4.734 * * [simplify]: Extracting #7: cost 7 inf + 1842
4.735 * * [simplify]: Extracting #8: cost 0 inf + 4384
4.736 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
4.736 * [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)))))
4.737 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
4.737 * * [simplify]: iters left: 6 (14 enodes)
4.743 * * [simplify]: iters left: 5 (46 enodes)
4.755 * * [simplify]: Extracting #0: cost 1 inf + 0
4.755 * * [simplify]: Extracting #1: cost 4 inf + 0
4.755 * * [simplify]: Extracting #2: cost 8 inf + 0
4.755 * * [simplify]: Extracting #3: cost 13 inf + 0
4.755 * * [simplify]: Extracting #4: cost 22 inf + 0
4.755 * * [simplify]: Extracting #5: cost 17 inf + 129
4.755 * * [simplify]: Extracting #6: cost 8 inf + 912
4.758 * * [simplify]: Extracting #7: cost 2 inf + 2246
4.759 * * [simplify]: Extracting #8: cost 0 inf + 2852
4.759 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
4.760 * [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)))))
4.760 * * * * [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)))))>
4.760 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
4.760 * * [simplify]: iters left: 6 (15 enodes)
4.767 * * [simplify]: iters left: 5 (50 enodes)
4.779 * * [simplify]: Extracting #0: cost 1 inf + 0
4.780 * * [simplify]: Extracting #1: cost 4 inf + 0
4.780 * * [simplify]: Extracting #2: cost 9 inf + 0
4.780 * * [simplify]: Extracting #3: cost 15 inf + 0
4.780 * * [simplify]: Extracting #4: cost 24 inf + 0
4.780 * * [simplify]: Extracting #5: cost 20 inf + 87
4.780 * * [simplify]: Extracting #6: cost 12 inf + 707
4.781 * * [simplify]: Extracting #7: cost 5 inf + 1842
4.782 * * [simplify]: Extracting #8: cost 0 inf + 3416
4.783 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d)))))
4.783 * [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)))))
4.783 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
4.783 * * [simplify]: iters left: 6 (14 enodes)
4.789 * * [simplify]: iters left: 5 (46 enodes)
4.797 * * [simplify]: Extracting #0: cost 1 inf + 0
4.797 * * [simplify]: Extracting #1: cost 4 inf + 0
4.797 * * [simplify]: Extracting #2: cost 8 inf + 0
4.797 * * [simplify]: Extracting #3: cost 13 inf + 0
4.797 * * [simplify]: Extracting #4: cost 22 inf + 0
4.797 * * [simplify]: Extracting #5: cost 17 inf + 129
4.797 * * [simplify]: Extracting #6: cost 8 inf + 912
4.797 * * [simplify]: Extracting #7: cost 2 inf + 2286
4.798 * * [simplify]: Extracting #8: cost 0 inf + 2932
4.798 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
4.798 * [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)))))
4.798 * * * * [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)))))>
4.799 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.799 * * [simplify]: iters left: 6 (14 enodes)
4.801 * * [simplify]: iters left: 5 (46 enodes)
4.808 * * [simplify]: Extracting #0: cost 1 inf + 0
4.808 * * [simplify]: Extracting #1: cost 4 inf + 0
4.808 * * [simplify]: Extracting #2: cost 8 inf + 0
4.808 * * [simplify]: Extracting #3: cost 13 inf + 0
4.808 * * [simplify]: Extracting #4: cost 22 inf + 0
4.808 * * [simplify]: Extracting #5: cost 17 inf + 129
4.808 * * [simplify]: Extracting #6: cost 8 inf + 912
4.808 * * [simplify]: Extracting #7: cost 2 inf + 2126
4.809 * * [simplify]: Extracting #8: cost 0 inf + 2692
4.809 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.809 * [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)))))
4.810 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.810 * * [simplify]: iters left: 6 (14 enodes)
4.812 * * [simplify]: iters left: 5 (46 enodes)
4.818 * * [simplify]: Extracting #0: cost 1 inf + 0
4.818 * * [simplify]: Extracting #1: cost 4 inf + 0
4.818 * * [simplify]: Extracting #2: cost 8 inf + 0
4.818 * * [simplify]: Extracting #3: cost 13 inf + 0
4.818 * * [simplify]: Extracting #4: cost 22 inf + 0
4.818 * * [simplify]: Extracting #5: cost 17 inf + 129
4.818 * * [simplify]: Extracting #6: cost 8 inf + 912
4.819 * * [simplify]: Extracting #7: cost 2 inf + 2126
4.819 * * [simplify]: Extracting #8: cost 0 inf + 2692
4.820 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.820 * [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)))))
4.820 * * * * [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)))))>
4.820 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
4.820 * * [simplify]: iters left: 6 (11 enodes)
4.825 * * [simplify]: iters left: 5 (38 enodes)
4.835 * * [simplify]: iters left: 4 (40 enodes)
4.845 * * [simplify]: iters left: 3 (42 enodes)
4.855 * * [simplify]: Extracting #0: cost 1 inf + 0
4.855 * * [simplify]: Extracting #1: cost 4 inf + 0
4.855 * * [simplify]: Extracting #2: cost 6 inf + 1
4.855 * * [simplify]: Extracting #3: cost 12 inf + 1
4.855 * * [simplify]: Extracting #4: cost 7 inf + 47
4.856 * * [simplify]: Extracting #5: cost 0 inf + 749
4.856 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
4.856 * [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)))))
4.857 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
4.857 * * [simplify]: iters left: 6 (13 enodes)
4.862 * * [simplify]: iters left: 5 (43 enodes)
4.870 * * [simplify]: Extracting #0: cost 1 inf + 0
4.870 * * [simplify]: Extracting #1: cost 4 inf + 0
4.870 * * [simplify]: Extracting #2: cost 8 inf + 0
4.870 * * [simplify]: Extracting #3: cost 14 inf + 0
4.870 * * [simplify]: Extracting #4: cost 22 inf + 0
4.870 * * [simplify]: Extracting #5: cost 17 inf + 45
4.870 * * [simplify]: Extracting #6: cost 10 inf + 537
4.871 * * [simplify]: Extracting #7: cost 4 inf + 1192
4.871 * * [simplify]: Extracting #8: cost 1 inf + 1844
4.871 * * [simplify]: Extracting #9: cost 0 inf + 2208
4.872 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
4.872 * [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)))))
4.872 * * * * [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)))))>
4.872 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.872 * * [simplify]: iters left: 6 (14 enodes)
4.875 * * [simplify]: iters left: 5 (46 enodes)
4.881 * * [simplify]: Extracting #0: cost 1 inf + 0
4.881 * * [simplify]: Extracting #1: cost 4 inf + 0
4.881 * * [simplify]: Extracting #2: cost 8 inf + 0
4.881 * * [simplify]: Extracting #3: cost 13 inf + 0
4.881 * * [simplify]: Extracting #4: cost 22 inf + 0
4.881 * * [simplify]: Extracting #5: cost 17 inf + 129
4.881 * * [simplify]: Extracting #6: cost 8 inf + 912
4.882 * * [simplify]: Extracting #7: cost 2 inf + 2126
4.882 * * [simplify]: Extracting #8: cost 0 inf + 2692
4.882 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.882 * [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)))))
4.883 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.883 * * [simplify]: iters left: 6 (14 enodes)
4.885 * * [simplify]: iters left: 5 (46 enodes)
4.891 * * [simplify]: Extracting #0: cost 1 inf + 0
4.891 * * [simplify]: Extracting #1: cost 4 inf + 0
4.891 * * [simplify]: Extracting #2: cost 8 inf + 0
4.891 * * [simplify]: Extracting #3: cost 13 inf + 0
4.891 * * [simplify]: Extracting #4: cost 22 inf + 0
4.891 * * [simplify]: Extracting #5: cost 17 inf + 129
4.892 * * [simplify]: Extracting #6: cost 8 inf + 912
4.892 * * [simplify]: Extracting #7: cost 2 inf + 2126
4.892 * * [simplify]: Extracting #8: cost 0 inf + 2692
4.893 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
4.893 * [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)))))
4.894 * * * * [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)))))>
4.894 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1)
4.894 * * [simplify]: iters left: 6 (10 enodes)
4.899 * * [simplify]: iters left: 5 (33 enodes)
4.908 * * [simplify]: iters left: 4 (35 enodes)
4.913 * * [simplify]: Extracting #0: cost 1 inf + 0
4.913 * * [simplify]: Extracting #1: cost 4 inf + 0
4.913 * * [simplify]: Extracting #2: cost 6 inf + 1
4.913 * * [simplify]: Extracting #3: cost 12 inf + 1
4.913 * * [simplify]: Extracting #4: cost 7 inf + 47
4.913 * * [simplify]: Extracting #5: cost 0 inf + 749
4.913 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
4.913 * [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)))))
4.913 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
4.913 * * [simplify]: iters left: 6 (13 enodes)
4.916 * * [simplify]: iters left: 5 (43 enodes)
4.921 * * [simplify]: Extracting #0: cost 1 inf + 0
4.921 * * [simplify]: Extracting #1: cost 4 inf + 0
4.921 * * [simplify]: Extracting #2: cost 8 inf + 0
4.921 * * [simplify]: Extracting #3: cost 14 inf + 0
4.921 * * [simplify]: Extracting #4: cost 22 inf + 0
4.921 * * [simplify]: Extracting #5: cost 17 inf + 45
4.922 * * [simplify]: Extracting #6: cost 10 inf + 537
4.922 * * [simplify]: Extracting #7: cost 4 inf + 1192
4.922 * * [simplify]: Extracting #8: cost 1 inf + 1844
4.923 * * [simplify]: Extracting #9: cost 0 inf + 2208
4.923 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
4.923 * [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)))))
4.923 * * * * [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)))))>
4.923 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
4.923 * * [simplify]: iters left: 6 (10 enodes)
4.926 * * [simplify]: iters left: 5 (35 enodes)
4.933 * * [simplify]: iters left: 4 (39 enodes)
4.944 * * [simplify]: Extracting #0: cost 1 inf + 0
4.944 * * [simplify]: Extracting #1: cost 6 inf + 0
4.944 * * [simplify]: Extracting #2: cost 9 inf + 1
4.944 * * [simplify]: Extracting #3: cost 11 inf + 1
4.944 * * [simplify]: Extracting #4: cost 14 inf + 1
4.944 * * [simplify]: Extracting #5: cost 18 inf + 1
4.944 * * [simplify]: Extracting #6: cost 16 inf + 3
4.944 * * [simplify]: Extracting #7: cost 11 inf + 289
4.945 * * [simplify]: Extracting #8: cost 6 inf + 1219
4.945 * * [simplify]: Extracting #9: cost 0 inf + 2995
4.946 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
4.946 * [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)))))
4.947 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
4.947 * * [simplify]: iters left: 6 (13 enodes)
4.952 * * [simplify]: iters left: 5 (43 enodes)
4.958 * * [simplify]: Extracting #0: cost 1 inf + 0
4.958 * * [simplify]: Extracting #1: cost 4 inf + 0
4.958 * * [simplify]: Extracting #2: cost 9 inf + 0
4.958 * * [simplify]: Extracting #3: cost 17 inf + 0
4.958 * * [simplify]: Extracting #4: cost 16 inf + 4
4.958 * * [simplify]: Extracting #5: cost 12 inf + 334
4.958 * * [simplify]: Extracting #6: cost 5 inf + 1108
4.959 * * [simplify]: Extracting #7: cost 1 inf + 2040
4.959 * * [simplify]: Extracting #8: cost 0 inf + 2444
4.959 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))
4.959 * [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)))))
4.960 * * * * [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)))))>
4.960 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
4.960 * * [simplify]: iters left: 6 (10 enodes)
4.963 * * [simplify]: iters left: 5 (34 enodes)
4.968 * * [simplify]: iters left: 4 (36 enodes)
4.974 * * [simplify]: Extracting #0: cost 1 inf + 0
4.974 * * [simplify]: Extracting #1: cost 4 inf + 0
4.974 * * [simplify]: Extracting #2: cost 6 inf + 1
4.974 * * [simplify]: Extracting #3: cost 9 inf + 1
4.974 * * [simplify]: Extracting #4: cost 12 inf + 1
4.974 * * [simplify]: Extracting #5: cost 16 inf + 1
4.974 * * [simplify]: Extracting #6: cost 14 inf + 3
4.974 * * [simplify]: Extracting #7: cost 10 inf + 248
4.975 * * [simplify]: Extracting #8: cost 2 inf + 1824
4.976 * * [simplify]: Extracting #9: cost 0 inf + 2349
4.976 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
4.976 * [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)))))
4.977 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
4.977 * * [simplify]: iters left: 6 (13 enodes)
4.982 * * [simplify]: iters left: 5 (43 enodes)
4.994 * * [simplify]: Extracting #0: cost 1 inf + 0
4.994 * * [simplify]: Extracting #1: cost 4 inf + 0
4.994 * * [simplify]: Extracting #2: cost 9 inf + 0
4.994 * * [simplify]: Extracting #3: cost 17 inf + 0
4.995 * * [simplify]: Extracting #4: cost 16 inf + 4
4.995 * * [simplify]: Extracting #5: cost 12 inf + 334
4.995 * * [simplify]: Extracting #6: cost 5 inf + 1148
4.996 * * [simplify]: Extracting #7: cost 1 inf + 2120
4.997 * * [simplify]: Extracting #8: cost 0 inf + 2524
4.997 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))
4.997 * [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)))))
4.997 * * * * [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)))))>
4.997 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
4.997 * * [simplify]: iters left: 6 (9 enodes)
4.999 * * [simplify]: iters left: 5 (30 enodes)
5.004 * * [simplify]: iters left: 4 (32 enodes)
5.008 * * [simplify]: Extracting #0: cost 1 inf + 0
5.008 * * [simplify]: Extracting #1: cost 4 inf + 0
5.008 * * [simplify]: Extracting #2: cost 5 inf + 1
5.008 * * [simplify]: Extracting #3: cost 7 inf + 1
5.009 * * [simplify]: Extracting #4: cost 10 inf + 1
5.009 * * [simplify]: Extracting #5: cost 14 inf + 1
5.009 * * [simplify]: Extracting #6: cost 12 inf + 3
5.009 * * [simplify]: Extracting #7: cost 8 inf + 248
5.009 * * [simplify]: Extracting #8: cost 4 inf + 775
5.009 * * [simplify]: Extracting #9: cost 0 inf + 1625
5.010 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.010 * [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)))))
5.010 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.010 * * [simplify]: iters left: 6 (13 enodes)
5.012 * * [simplify]: iters left: 5 (43 enodes)
5.018 * * [simplify]: Extracting #0: cost 1 inf + 0
5.018 * * [simplify]: Extracting #1: cost 4 inf + 0
5.018 * * [simplify]: Extracting #2: cost 9 inf + 0
5.018 * * [simplify]: Extracting #3: cost 17 inf + 0
5.018 * * [simplify]: Extracting #4: cost 16 inf + 4
5.018 * * [simplify]: Extracting #5: cost 12 inf + 334
5.018 * * [simplify]: Extracting #6: cost 5 inf + 1068
5.019 * * [simplify]: Extracting #7: cost 1 inf + 1920
5.019 * * [simplify]: Extracting #8: cost 0 inf + 2284
5.019 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.020 * [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)))))
5.020 * * * * [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)))))>
5.020 * [simplify]: Simplifying (/ 1 (sqrt 1))
5.020 * * [simplify]: iters left: 3 (3 enodes)
5.023 * * [simplify]: iters left: 2 (11 enodes)
5.025 * * [simplify]: iters left: 1 (13 enodes)
5.029 * * [simplify]: Extracting #0: cost 1 inf + 0
5.029 * * [simplify]: Extracting #1: cost 0 inf + 1
5.029 * [simplify]: Simplified to 1
5.029 * [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)))))
5.029 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.029 * * [simplify]: iters left: 6 (12 enodes)
5.035 * * [simplify]: iters left: 5 (40 enodes)
5.046 * * [simplify]: Extracting #0: cost 1 inf + 0
5.046 * * [simplify]: Extracting #1: cost 4 inf + 0
5.046 * * [simplify]: Extracting #2: cost 9 inf + 0
5.046 * * [simplify]: Extracting #3: cost 18 inf + 0
5.046 * * [simplify]: Extracting #4: cost 11 inf + 372
5.047 * * [simplify]: Extracting #5: cost 1 inf + 1476
5.048 * * [simplify]: Extracting #6: cost 0 inf + 1800
5.048 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
5.048 * [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)))))
5.048 * * * * [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)))))>
5.049 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.049 * * [simplify]: iters left: 6 (9 enodes)
5.053 * * [simplify]: iters left: 5 (30 enodes)
5.062 * * [simplify]: iters left: 4 (32 enodes)
5.071 * * [simplify]: Extracting #0: cost 1 inf + 0
5.071 * * [simplify]: Extracting #1: cost 4 inf + 0
5.071 * * [simplify]: Extracting #2: cost 5 inf + 1
5.071 * * [simplify]: Extracting #3: cost 7 inf + 1
5.071 * * [simplify]: Extracting #4: cost 10 inf + 1
5.071 * * [simplify]: Extracting #5: cost 14 inf + 1
5.072 * * [simplify]: Extracting #6: cost 12 inf + 3
5.072 * * [simplify]: Extracting #7: cost 8 inf + 248
5.072 * * [simplify]: Extracting #8: cost 4 inf + 775
5.072 * * [simplify]: Extracting #9: cost 0 inf + 1625
5.073 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
5.073 * [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)))))
5.073 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.074 * * [simplify]: iters left: 6 (13 enodes)
5.081 * * [simplify]: iters left: 5 (43 enodes)
5.092 * * [simplify]: Extracting #0: cost 1 inf + 0
5.092 * * [simplify]: Extracting #1: cost 4 inf + 0
5.092 * * [simplify]: Extracting #2: cost 9 inf + 0
5.092 * * [simplify]: Extracting #3: cost 17 inf + 0
5.092 * * [simplify]: Extracting #4: cost 16 inf + 4
5.092 * * [simplify]: Extracting #5: cost 12 inf + 334
5.093 * * [simplify]: Extracting #6: cost 5 inf + 1068
5.093 * * [simplify]: Extracting #7: cost 1 inf + 1920
5.094 * * [simplify]: Extracting #8: cost 0 inf + 2284
5.095 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
5.095 * [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)))))
5.095 * * * * [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)))))>
5.095 * [simplify]: Simplifying (/ 1 1)
5.096 * * [simplify]: iters left: 2 (2 enodes)
5.097 * * [simplify]: iters left: 1 (6 enodes)
5.099 * * [simplify]: Extracting #0: cost 1 inf + 0
5.099 * * [simplify]: Extracting #1: cost 0 inf + 1
5.100 * [simplify]: Simplified to 1
5.100 * [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)))))
5.100 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.100 * * [simplify]: iters left: 6 (12 enodes)
5.106 * * [simplify]: iters left: 5 (40 enodes)
5.116 * * [simplify]: Extracting #0: cost 1 inf + 0
5.116 * * [simplify]: Extracting #1: cost 4 inf + 0
5.116 * * [simplify]: Extracting #2: cost 9 inf + 0
5.116 * * [simplify]: Extracting #3: cost 18 inf + 0
5.116 * * [simplify]: Extracting #4: cost 11 inf + 372
5.117 * * [simplify]: Extracting #5: cost 1 inf + 1476
5.118 * * [simplify]: Extracting #6: cost 0 inf + 1800
5.118 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
5.118 * [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)))))
5.119 * * * * [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)))))>
5.119 * * * * [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)))))>
5.119 * * * * [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)))))>
5.119 * * * * [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)))))>
5.119 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
5.119 * * [simplify]: iters left: 6 (7 enodes)
5.122 * * [simplify]: iters left: 5 (22 enodes)
5.128 * * [simplify]: Extracting #0: cost 1 inf + 0
5.128 * * [simplify]: Extracting #1: cost 3 inf + 0
5.128 * * [simplify]: Extracting #2: cost 5 inf + 0
5.128 * * [simplify]: Extracting #3: cost 8 inf + 0
5.128 * * [simplify]: Extracting #4: cost 12 inf + 0
5.128 * * [simplify]: Extracting #5: cost 10 inf + 2
5.129 * * [simplify]: Extracting #6: cost 1 inf + 976
5.129 * * [simplify]: Extracting #7: cost 0 inf + 1218
5.129 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
5.129 * [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)))))
5.130 * * * * [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)))))>
5.130 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
5.130 * * [simplify]: iters left: 6 (7 enodes)
5.133 * * [simplify]: iters left: 5 (22 enodes)
5.139 * * [simplify]: Extracting #0: cost 1 inf + 0
5.139 * * [simplify]: Extracting #1: cost 3 inf + 0
5.139 * * [simplify]: Extracting #2: cost 5 inf + 0
5.139 * * [simplify]: Extracting #3: cost 8 inf + 0
5.139 * * [simplify]: Extracting #4: cost 12 inf + 0
5.139 * * [simplify]: Extracting #5: cost 10 inf + 2
5.139 * * [simplify]: Extracting #6: cost 1 inf + 1056
5.140 * * [simplify]: Extracting #7: cost 0 inf + 1298
5.140 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
5.140 * [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)))))
5.141 * * * * [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)))))>
5.141 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
5.141 * * [simplify]: iters left: 6 (7 enodes)
5.144 * * [simplify]: iters left: 5 (22 enodes)
5.150 * * [simplify]: Extracting #0: cost 1 inf + 0
5.151 * * [simplify]: Extracting #1: cost 3 inf + 0
5.151 * * [simplify]: Extracting #2: cost 5 inf + 0
5.151 * * [simplify]: Extracting #3: cost 8 inf + 0
5.151 * * [simplify]: Extracting #4: cost 12 inf + 0
5.151 * * [simplify]: Extracting #5: cost 10 inf + 2
5.151 * * [simplify]: Extracting #6: cost 1 inf + 936
5.151 * * [simplify]: Extracting #7: cost 0 inf + 1138
5.152 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
5.152 * [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)))))
5.152 * * * * [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)))))>
5.152 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
5.152 * * [simplify]: iters left: 5 (6 enodes)
5.155 * * [simplify]: iters left: 4 (19 enodes)
5.160 * * [simplify]: Extracting #0: cost 1 inf + 0
5.160 * * [simplify]: Extracting #1: cost 3 inf + 0
5.160 * * [simplify]: Extracting #2: cost 6 inf + 0
5.160 * * [simplify]: Extracting #3: cost 10 inf + 0
5.160 * * [simplify]: Extracting #4: cost 6 inf + 84
5.161 * * [simplify]: Extracting #5: cost 0 inf + 734
5.161 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
5.161 * [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)))))
5.161 * * * * [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)))))>
5.162 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
5.162 * * [simplify]: iters left: 6 (7 enodes)
5.165 * * [simplify]: iters left: 5 (22 enodes)
5.170 * * [simplify]: Extracting #0: cost 1 inf + 0
5.170 * * [simplify]: Extracting #1: cost 3 inf + 0
5.170 * * [simplify]: Extracting #2: cost 5 inf + 0
5.170 * * [simplify]: Extracting #3: cost 8 inf + 0
5.170 * * [simplify]: Extracting #4: cost 12 inf + 0
5.171 * * [simplify]: Extracting #5: cost 10 inf + 2
5.171 * * [simplify]: Extracting #6: cost 1 inf + 936
5.171 * * [simplify]: Extracting #7: cost 0 inf + 1138
5.172 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
5.172 * [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)))))
5.172 * * * * [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)))))>
5.172 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
5.172 * * [simplify]: iters left: 5 (6 enodes)
5.175 * * [simplify]: iters left: 4 (19 enodes)
5.178 * * [simplify]: Extracting #0: cost 1 inf + 0
5.178 * * [simplify]: Extracting #1: cost 3 inf + 0
5.178 * * [simplify]: Extracting #2: cost 6 inf + 0
5.178 * * [simplify]: Extracting #3: cost 10 inf + 0
5.178 * * [simplify]: Extracting #4: cost 6 inf + 84
5.178 * * [simplify]: Extracting #5: cost 0 inf + 734
5.179 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
5.179 * [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)))))
5.179 * * * * [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)))))>
5.179 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
5.179 * * [simplify]: iters left: 6 (9 enodes)
5.181 * * [simplify]: iters left: 5 (30 enodes)
5.184 * * [simplify]: Extracting #0: cost 1 inf + 0
5.185 * * [simplify]: Extracting #1: cost 3 inf + 0
5.185 * * [simplify]: Extracting #2: cost 5 inf + 0
5.185 * * [simplify]: Extracting #3: cost 8 inf + 0
5.185 * * [simplify]: Extracting #4: cost 14 inf + 0
5.185 * * [simplify]: Extracting #5: cost 9 inf + 46
5.185 * * [simplify]: Extracting #6: cost 4 inf + 500
5.185 * * [simplify]: Extracting #7: cost 1 inf + 1072
5.185 * * [simplify]: Extracting #8: cost 0 inf + 1316
5.185 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
5.186 * [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)))))
5.186 * * * * [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)))))>
5.186 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
5.186 * * [simplify]: iters left: 5 (8 enodes)
5.187 * * [simplify]: iters left: 4 (27 enodes)
5.190 * * [simplify]: Extracting #0: cost 1 inf + 0
5.191 * * [simplify]: Extracting #1: cost 3 inf + 0
5.191 * * [simplify]: Extracting #2: cost 6 inf + 0
5.191 * * [simplify]: Extracting #3: cost 12 inf + 0
5.191 * * [simplify]: Extracting #4: cost 8 inf + 4
5.191 * * [simplify]: Extracting #5: cost 1 inf + 584
5.191 * * [simplify]: Extracting #6: cost 0 inf + 748
5.191 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
5.191 * [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)))))
5.191 * * * * [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)))))>
5.191 * * * * [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)))))>
5.191 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
5.192 * * [simplify]: iters left: 6 (10 enodes)
5.194 * * [simplify]: iters left: 5 (52 enodes)
5.206 * * [simplify]: iters left: 4 (119 enodes)
5.246 * * [simplify]: iters left: 3 (234 enodes)
5.309 * * [simplify]: iters left: 2 (366 enodes)
5.450 * * [simplify]: Extracting #0: cost 1 inf + 0
5.450 * * [simplify]: Extracting #1: cost 3 inf + 0
5.450 * * [simplify]: Extracting #2: cost 22 inf + 0
5.451 * * [simplify]: Extracting #3: cost 148 inf + 0
5.452 * * [simplify]: Extracting #4: cost 202 inf + 2230
5.455 * * [simplify]: Extracting #5: cost 83 inf + 22274
5.462 * * [simplify]: Extracting #6: cost 1 inf + 35108
5.469 * * [simplify]: Extracting #7: cost 0 inf + 35040
5.478 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))
5.478 * [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)))))
5.479 * * * * [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)))))>
5.479 * [simplify]: Simplifying (sqrt (- (* c c) (* d d)))
5.479 * * [simplify]: iters left: 5 (6 enodes)
5.480 * * [simplify]: iters left: 4 (23 enodes)
5.483 * * [simplify]: iters left: 3 (36 enodes)
5.488 * * [simplify]: iters left: 2 (53 enodes)
5.496 * * [simplify]: iters left: 1 (94 enodes)
5.517 * * [simplify]: Extracting #0: cost 1 inf + 0
5.517 * * [simplify]: Extracting #1: cost 3 inf + 0
5.517 * * [simplify]: Extracting #2: cost 32 inf + 0
5.517 * * [simplify]: Extracting #3: cost 48 inf + 0
5.518 * * [simplify]: Extracting #4: cost 42 inf + 247
5.519 * * [simplify]: Extracting #5: cost 18 inf + 3412
5.521 * * [simplify]: Extracting #6: cost 0 inf + 5728
5.524 * * [simplify]: Extracting #7: cost 0 inf + 5448
5.526 * [simplify]: Simplified to (sqrt (- (* c c) (* d d)))
5.526 * [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)))))
5.526 * * * * [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)))))>
5.527 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3))
5.527 * * [simplify]: iters left: 5 (10 enodes)
5.532 * * [simplify]: iters left: 4 (52 enodes)
5.555 * * [simplify]: iters left: 3 (145 enodes)
5.597 * * [simplify]: iters left: 2 (335 enodes)
5.708 * * [simplify]: Extracting #0: cost 1 inf + 0
5.708 * * [simplify]: Extracting #1: cost 4 inf + 0
5.708 * * [simplify]: Extracting #2: cost 51 inf + 0
5.709 * * [simplify]: Extracting #3: cost 124 inf + 950
5.710 * * [simplify]: Extracting #4: cost 89 inf + 8397
5.713 * * [simplify]: Extracting #5: cost 14 inf + 28399
5.717 * * [simplify]: Extracting #6: cost 1 inf + 33494
5.721 * * [simplify]: Extracting #7: cost 0 inf + 33747
5.725 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
5.725 * [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)))))
5.725 * * * * [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)))))>
5.726 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d)))
5.726 * * [simplify]: iters left: 6 (9 enodes)
5.730 * * [simplify]: iters left: 5 (48 enodes)
5.743 * * [simplify]: iters left: 4 (111 enodes)
5.762 * * [simplify]: iters left: 3 (181 enodes)
5.806 * * [simplify]: iters left: 2 (262 enodes)
5.899 * * [simplify]: iters left: 1 (473 enodes)
6.053 * * [simplify]: Extracting #0: cost 1 inf + 0
6.053 * * [simplify]: Extracting #1: cost 22 inf + 0
6.053 * * [simplify]: Extracting #2: cost 110 inf + 0
6.054 * * [simplify]: Extracting #3: cost 142 inf + 1440
6.058 * * [simplify]: Extracting #4: cost 41 inf + 15973
6.065 * * [simplify]: Extracting #5: cost 0 inf + 23364
6.072 * * [simplify]: Extracting #6: cost 0 inf + 23124
6.088 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d)))
6.088 * [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)))))
6.088 * * * * [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)))))>
6.088 * * * * [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)))))>
6.089 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
6.089 * * [simplify]: iters left: 5 (9 enodes)
6.091 * * [simplify]: iters left: 4 (36 enodes)
6.095 * * [simplify]: iters left: 3 (55 enodes)
6.104 * * [simplify]: iters left: 2 (91 enodes)
6.122 * * [simplify]: iters left: 1 (191 enodes)
6.205 * * [simplify]: Extracting #0: cost 1 inf + 0
6.206 * * [simplify]: Extracting #1: cost 38 inf + 0
6.206 * * [simplify]: Extracting #2: cost 150 inf + 0
6.208 * * [simplify]: Extracting #3: cost 173 inf + 772
6.210 * * [simplify]: Extracting #4: cost 148 inf + 4628
6.214 * * [simplify]: Extracting #5: cost 93 inf + 18511
6.226 * * [simplify]: Extracting #6: cost 27 inf + 61555
6.242 * * [simplify]: Extracting #7: cost 0 inf + 82217
6.259 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
6.259 * [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)))))
6.259 * * * * [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)))))>
6.259 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [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)))))>
6.260 * * * * [progress]: [ 89 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))>
6.260 * [simplify]: Simplifying d
6.260 * * [simplify]: iters left: 0 (1 enodes)
6.261 * * [simplify]: Extracting #0: cost 1 inf + 0
6.261 * * [simplify]: Extracting #1: cost 0 inf + 1
6.261 * [simplify]: Simplified to d
6.261 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d))
6.261 * * * * [progress]: [ 90 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c))>
6.261 * [simplify]: Simplifying c
6.261 * * [simplify]: iters left: 0 (1 enodes)
6.261 * * [simplify]: Extracting #0: cost 1 inf + 0
6.261 * * [simplify]: Extracting #1: cost 0 inf + 1
6.261 * [simplify]: Simplified to c
6.261 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c))
6.261 * * * * [progress]: [ 91 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* -1 c)))>
6.262 * [simplify]: Simplifying (* -1 c)
6.262 * * [simplify]: iters left: 2 (3 enodes)
6.263 * * [simplify]: iters left: 1 (11 enodes)
6.265 * * [simplify]: Extracting #0: cost 1 inf + 0
6.265 * * [simplify]: Extracting #1: cost 4 inf + 0
6.265 * * [simplify]: Extracting #2: cost 0 inf + 84
6.265 * [simplify]: Simplified to (- c)
6.265 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (- c)))
6.265 * * * * [progress]: [ 92 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d)))))>
6.265 * [simplify]: Simplifying d
6.265 * * [simplify]: iters left: 0 (1 enodes)
6.266 * * [simplify]: Extracting #0: cost 1 inf + 0
6.266 * * [simplify]: Extracting #1: cost 0 inf + 1
6.266 * [simplify]: Simplified to d
6.266 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d)))))
6.266 * * * * [progress]: [ 93 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d)))))>
6.266 * [simplify]: Simplifying c
6.266 * * [simplify]: iters left: 0 (1 enodes)
6.266 * * [simplify]: Extracting #0: cost 1 inf + 0
6.266 * * [simplify]: Extracting #1: cost 0 inf + 1
6.266 * [simplify]: Simplified to c
6.266 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d)))))
6.266 * * * * [progress]: [ 94 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* -1 c)) (sqrt (+ (* c c) (* d d)))))>
6.267 * [simplify]: Simplifying (* -1 c)
6.267 * * [simplify]: iters left: 2 (3 enodes)
6.270 * * [simplify]: iters left: 1 (11 enodes)
6.271 * * [simplify]: Extracting #0: cost 1 inf + 0
6.271 * * [simplify]: Extracting #1: cost 4 inf + 0
6.271 * * [simplify]: Extracting #2: cost 0 inf + 84
6.272 * [simplify]: Simplified to (- c)
6.272 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (+ (* c c) (* d d)))))
6.272 * * * * [progress]: [ 95 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
6.272 * [simplify]: Simplifying b
6.272 * * [simplify]: iters left: 0 (1 enodes)
6.272 * * [simplify]: Extracting #0: cost 1 inf + 0
6.272 * * [simplify]: Extracting #1: cost 0 inf + 1
6.272 * [simplify]: Simplified to b
6.272 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
6.272 * * * * [progress]: [ 96 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
6.272 * [simplify]: Simplifying a
6.272 * * [simplify]: iters left: 0 (1 enodes)
6.273 * * [simplify]: Extracting #0: cost 1 inf + 0
6.273 * * [simplify]: Extracting #1: cost 0 inf + 1
6.273 * [simplify]: Simplified to a
6.273 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
6.273 * * * * [progress]: [ 97 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 a) (sqrt (+ (* c c) (* d d)))))>
6.273 * [simplify]: Simplifying (* -1 a)
6.273 * * [simplify]: iters left: 2 (3 enodes)
6.274 * * [simplify]: iters left: 1 (11 enodes)
6.275 * * [simplify]: Extracting #0: cost 1 inf + 0
6.275 * * [simplify]: Extracting #1: cost 4 inf + 0
6.275 * * [simplify]: Extracting #2: cost 0 inf + 84
6.275 * [simplify]: Simplified to (- a)
6.275 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))
6.276 * * * * [progress]: [ 98 / 100 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
6.276 * [simplify]: Simplifying 0
6.276 * * [simplify]: iters left: 0 (1 enodes)
6.276 * * [simplify]: Extracting #0: cost 1 inf + 0
6.276 * * [simplify]: Extracting #1: cost 0 inf + 1
6.276 * [simplify]: Simplified to 0
6.276 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
6.276 * * * * [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)))))>
6.276 * [simplify]: Simplifying (+ (* a c) (* b d))
6.276 * * [simplify]: iters left: 4 (7 enodes)
6.278 * * [simplify]: iters left: 3 (24 enodes)
6.281 * * [simplify]: Extracting #0: cost 1 inf + 0
6.281 * * [simplify]: Extracting #1: cost 4 inf + 0
6.281 * * [simplify]: Extracting #2: cost 10 inf + 0
6.281 * * [simplify]: Extracting #3: cost 6 inf + 4
6.281 * * [simplify]: Extracting #4: cost 1 inf + 296
6.281 * * [simplify]: Extracting #5: cost 0 inf + 420
6.281 * [simplify]: Simplified to (+ (* b d) (* a c))
6.281 * [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)))))
6.281 * * * * [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)))))>
6.281 * [simplify]: Simplifying (+ (* a c) (* b d))
6.281 * * [simplify]: iters left: 4 (7 enodes)
6.283 * * [simplify]: iters left: 3 (24 enodes)
6.286 * * [simplify]: Extracting #0: cost 1 inf + 0
6.286 * * [simplify]: Extracting #1: cost 4 inf + 0
6.286 * * [simplify]: Extracting #2: cost 10 inf + 0
6.286 * * [simplify]: Extracting #3: cost 6 inf + 4
6.286 * * [simplify]: Extracting #4: cost 1 inf + 296
6.286 * * [simplify]: Extracting #5: cost 0 inf + 420
6.286 * [simplify]: Simplified to (+ (* b d) (* a c))
6.286 * [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)))))
6.286 * * * [progress]: adding candidates to table
7.625 * * [progress]: iteration 3 / 4
7.625 * * * [progress]: picking best candidate
7.674 * * * * [pick]: Picked  #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
7.674 * * * [progress]: localizing error
7.728 * * * [progress]: generating rewritten candidates
7.728 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
7.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2)
7.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
7.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
7.799 * * * [progress]: generating series expansions
7.799 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
7.799 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
7.799 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
7.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
7.799 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
7.799 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.799 * [taylor]: Taking taylor expansion of c in d
7.799 * [backup-simplify]: Simplify c into c
7.799 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.799 * [taylor]: Taking taylor expansion of d in d
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 1 into 1
7.800 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.800 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
7.800 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
7.800 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.801 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
7.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
7.801 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.801 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.801 * [taylor]: Taking taylor expansion of c in c
7.801 * [backup-simplify]: Simplify 0 into 0
7.801 * [backup-simplify]: Simplify 1 into 1
7.801 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.801 * [taylor]: Taking taylor expansion of d in c
7.801 * [backup-simplify]: Simplify d into d
7.801 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.801 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.801 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
7.801 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.802 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
7.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
7.802 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.802 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.802 * [taylor]: Taking taylor expansion of c in c
7.802 * [backup-simplify]: Simplify 0 into 0
7.802 * [backup-simplify]: Simplify 1 into 1
7.802 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.802 * [taylor]: Taking taylor expansion of d in c
7.802 * [backup-simplify]: Simplify d into d
7.802 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.802 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.802 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
7.802 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
7.803 * [taylor]: Taking taylor expansion of d in d
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 1 into 1
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [taylor]: Taking taylor expansion of 0 in d
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 1 into 1
7.804 * [backup-simplify]: Simplify (* 1 1) into 1
7.804 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
7.805 * [backup-simplify]: Simplify (+ 1 0) into 1
7.805 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
7.805 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
7.805 * [taylor]: Taking taylor expansion of 1/2 in d
7.805 * [backup-simplify]: Simplify 1/2 into 1/2
7.805 * [taylor]: Taking taylor expansion of d in d
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.808 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
7.809 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
7.809 * [taylor]: Taking taylor expansion of 0 in d
7.809 * [backup-simplify]: Simplify 0 into 0
7.809 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
7.810 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
7.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
7.810 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.810 * [taylor]: Taking taylor expansion of c in d
7.810 * [backup-simplify]: Simplify c into c
7.810 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.811 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.811 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
7.811 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.811 * [taylor]: Taking taylor expansion of d in d
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 1 into 1
7.811 * [backup-simplify]: Simplify (* 1 1) into 1
7.811 * [backup-simplify]: Simplify (/ 1 1) into 1
7.812 * [backup-simplify]: Simplify (+ 0 1) into 1
7.812 * [backup-simplify]: Simplify (sqrt 1) into 1
7.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.814 * [backup-simplify]: Simplify (+ 0 0) into 0
7.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.815 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.815 * [taylor]: Taking taylor expansion of c in c
7.815 * [backup-simplify]: Simplify 0 into 0
7.815 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (* 1 1) into 1
7.815 * [backup-simplify]: Simplify (/ 1 1) into 1
7.816 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.816 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.816 * [taylor]: Taking taylor expansion of d in c
7.816 * [backup-simplify]: Simplify d into d
7.816 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.816 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.817 * [backup-simplify]: Simplify (+ 1 0) into 1
7.817 * [backup-simplify]: Simplify (sqrt 1) into 1
7.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.819 * [backup-simplify]: Simplify (+ 0 0) into 0
7.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.819 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.819 * [taylor]: Taking taylor expansion of c in c
7.820 * [backup-simplify]: Simplify 0 into 0
7.820 * [backup-simplify]: Simplify 1 into 1
7.820 * [backup-simplify]: Simplify (* 1 1) into 1
7.820 * [backup-simplify]: Simplify (/ 1 1) into 1
7.820 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.820 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.820 * [taylor]: Taking taylor expansion of d in c
7.820 * [backup-simplify]: Simplify d into d
7.820 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.821 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.821 * [backup-simplify]: Simplify (+ 1 0) into 1
7.821 * [backup-simplify]: Simplify (sqrt 1) into 1
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.824 * [taylor]: Taking taylor expansion of 1 in d
7.824 * [backup-simplify]: Simplify 1 into 1
7.824 * [taylor]: Taking taylor expansion of 0 in d
7.824 * [backup-simplify]: Simplify 0 into 0
7.824 * [backup-simplify]: Simplify 1 into 1
7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.826 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
7.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
7.827 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
7.827 * [taylor]: Taking taylor expansion of 1/2 in d
7.827 * [backup-simplify]: Simplify 1/2 into 1/2
7.827 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.827 * [taylor]: Taking taylor expansion of d in d
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.828 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.832 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.832 * [backup-simplify]: Simplify (+ 0 0) into 0
7.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
7.833 * [taylor]: Taking taylor expansion of 0 in d
7.833 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
7.835 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.835 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
7.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
7.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
7.835 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.835 * [taylor]: Taking taylor expansion of c in d
7.835 * [backup-simplify]: Simplify c into c
7.835 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.835 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
7.836 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.836 * [taylor]: Taking taylor expansion of d in d
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (* 1 1) into 1
7.836 * [backup-simplify]: Simplify (/ 1 1) into 1
7.837 * [backup-simplify]: Simplify (+ 0 1) into 1
7.837 * [backup-simplify]: Simplify (sqrt 1) into 1
7.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.839 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.840 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.840 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.840 * [taylor]: Taking taylor expansion of c in c
7.840 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (* 1 1) into 1
7.841 * [backup-simplify]: Simplify (/ 1 1) into 1
7.841 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.841 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.841 * [taylor]: Taking taylor expansion of d in c
7.841 * [backup-simplify]: Simplify d into d
7.841 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.841 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.842 * [backup-simplify]: Simplify (+ 1 0) into 1
7.842 * [backup-simplify]: Simplify (sqrt 1) into 1
7.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.845 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.845 * [taylor]: Taking taylor expansion of c in c
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [backup-simplify]: Simplify (* 1 1) into 1
7.846 * [backup-simplify]: Simplify (/ 1 1) into 1
7.846 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.846 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.846 * [taylor]: Taking taylor expansion of d in c
7.846 * [backup-simplify]: Simplify d into d
7.846 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.846 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.846 * [backup-simplify]: Simplify (+ 1 0) into 1
7.847 * [backup-simplify]: Simplify (sqrt 1) into 1
7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.848 * [backup-simplify]: Simplify (+ 0 0) into 0
7.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.849 * [taylor]: Taking taylor expansion of 1 in d
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [taylor]: Taking taylor expansion of 0 in d
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.851 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
7.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
7.852 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
7.852 * [taylor]: Taking taylor expansion of 1/2 in d
7.852 * [backup-simplify]: Simplify 1/2 into 1/2
7.852 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.852 * [taylor]: Taking taylor expansion of d in d
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 1 into 1
7.853 * [backup-simplify]: Simplify (* 1 1) into 1
7.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
7.858 * [taylor]: Taking taylor expansion of 0 in d
7.858 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
7.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2)
7.860 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
7.860 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
7.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
7.861 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
7.861 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.861 * [taylor]: Taking taylor expansion of c in d
7.861 * [backup-simplify]: Simplify c into c
7.861 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.861 * [taylor]: Taking taylor expansion of d in d
7.861 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify 1 into 1
7.861 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.861 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
7.861 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
7.861 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.861 * [backup-simplify]: Simplify (+ 0 0) into 0
7.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
7.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
7.862 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.862 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.862 * [taylor]: Taking taylor expansion of c in c
7.862 * [backup-simplify]: Simplify 0 into 0
7.862 * [backup-simplify]: Simplify 1 into 1
7.862 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.862 * [taylor]: Taking taylor expansion of d in c
7.862 * [backup-simplify]: Simplify d into d
7.862 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.862 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.862 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
7.862 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
7.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
7.863 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.863 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.863 * [taylor]: Taking taylor expansion of c in c
7.863 * [backup-simplify]: Simplify 0 into 0
7.863 * [backup-simplify]: Simplify 1 into 1
7.863 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.863 * [taylor]: Taking taylor expansion of d in c
7.863 * [backup-simplify]: Simplify d into d
7.863 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.863 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.863 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
7.863 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
7.864 * [taylor]: Taking taylor expansion of d in d
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [taylor]: Taking taylor expansion of 0 in d
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 0 into 0
7.864 * [backup-simplify]: Simplify 1 into 1
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.865 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
7.865 * [backup-simplify]: Simplify (+ 1 0) into 1
7.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
7.866 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
7.866 * [taylor]: Taking taylor expansion of 1/2 in d
7.866 * [backup-simplify]: Simplify 1/2 into 1/2
7.866 * [taylor]: Taking taylor expansion of d in d
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify 1 into 1
7.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.869 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
7.869 * [backup-simplify]: Simplify (+ 0 0) into 0
7.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
7.869 * [taylor]: Taking taylor expansion of 0 in d
7.869 * [backup-simplify]: Simplify 0 into 0
7.869 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify 0 into 0
7.870 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
7.871 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.871 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
7.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
7.871 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
7.871 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.871 * [taylor]: Taking taylor expansion of c in d
7.871 * [backup-simplify]: Simplify c into c
7.871 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.871 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.871 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
7.871 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.871 * [taylor]: Taking taylor expansion of d in d
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (* 1 1) into 1
7.872 * [backup-simplify]: Simplify (/ 1 1) into 1
7.872 * [backup-simplify]: Simplify (+ 0 1) into 1
7.873 * [backup-simplify]: Simplify (sqrt 1) into 1
7.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.874 * [backup-simplify]: Simplify (+ 0 0) into 0
7.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.875 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.875 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.875 * [taylor]: Taking taylor expansion of c in c
7.875 * [backup-simplify]: Simplify 0 into 0
7.875 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (* 1 1) into 1
7.876 * [backup-simplify]: Simplify (/ 1 1) into 1
7.876 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.876 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.876 * [taylor]: Taking taylor expansion of d in c
7.876 * [backup-simplify]: Simplify d into d
7.876 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.877 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.877 * [backup-simplify]: Simplify (+ 1 0) into 1
7.877 * [backup-simplify]: Simplify (sqrt 1) into 1
7.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.880 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.880 * [taylor]: Taking taylor expansion of c in c
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (* 1 1) into 1
7.881 * [backup-simplify]: Simplify (/ 1 1) into 1
7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.881 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.881 * [taylor]: Taking taylor expansion of d in c
7.881 * [backup-simplify]: Simplify d into d
7.881 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.881 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.882 * [backup-simplify]: Simplify (+ 1 0) into 1
7.882 * [backup-simplify]: Simplify (sqrt 1) into 1
7.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.885 * [taylor]: Taking taylor expansion of 1 in d
7.885 * [backup-simplify]: Simplify 1 into 1
7.885 * [taylor]: Taking taylor expansion of 0 in d
7.885 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify 1 into 1
7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
7.888 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
7.888 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
7.888 * [taylor]: Taking taylor expansion of 1/2 in d
7.888 * [backup-simplify]: Simplify 1/2 into 1/2
7.888 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.888 * [taylor]: Taking taylor expansion of d in d
7.888 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify 1 into 1
7.889 * [backup-simplify]: Simplify (* 1 1) into 1
7.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.894 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
7.894 * [taylor]: Taking taylor expansion of 0 in d
7.894 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
7.897 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.897 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
7.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
7.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
7.897 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
7.897 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.897 * [taylor]: Taking taylor expansion of c in d
7.897 * [backup-simplify]: Simplify c into c
7.897 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.897 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.897 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
7.897 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.897 * [taylor]: Taking taylor expansion of d in d
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify 1 into 1
7.898 * [backup-simplify]: Simplify (* 1 1) into 1
7.898 * [backup-simplify]: Simplify (/ 1 1) into 1
7.898 * [backup-simplify]: Simplify (+ 0 1) into 1
7.899 * [backup-simplify]: Simplify (sqrt 1) into 1
7.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.901 * [backup-simplify]: Simplify (+ 0 0) into 0
7.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.901 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.901 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.901 * [taylor]: Taking taylor expansion of c in c
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (* 1 1) into 1
7.902 * [backup-simplify]: Simplify (/ 1 1) into 1
7.902 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.902 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.902 * [taylor]: Taking taylor expansion of d in c
7.902 * [backup-simplify]: Simplify d into d
7.902 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.902 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.903 * [backup-simplify]: Simplify (+ 1 0) into 1
7.903 * [backup-simplify]: Simplify (sqrt 1) into 1
7.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.906 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.906 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.906 * [taylor]: Taking taylor expansion of c in c
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.906 * [backup-simplify]: Simplify (* 1 1) into 1
7.907 * [backup-simplify]: Simplify (/ 1 1) into 1
7.907 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.907 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.907 * [taylor]: Taking taylor expansion of d in c
7.907 * [backup-simplify]: Simplify d into d
7.907 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.907 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.907 * [backup-simplify]: Simplify (+ 1 0) into 1
7.908 * [backup-simplify]: Simplify (sqrt 1) into 1
7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.910 * [taylor]: Taking taylor expansion of 1 in d
7.910 * [backup-simplify]: Simplify 1 into 1
7.910 * [taylor]: Taking taylor expansion of 0 in d
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
7.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
7.912 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
7.912 * [taylor]: Taking taylor expansion of 1/2 in d
7.912 * [backup-simplify]: Simplify 1/2 into 1/2
7.912 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.912 * [taylor]: Taking taylor expansion of d in d
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [backup-simplify]: Simplify (* 1 1) into 1
7.912 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.915 * [backup-simplify]: Simplify (+ 0 0) into 0
7.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
7.915 * [taylor]: Taking taylor expansion of 0 in d
7.915 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
7.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
7.917 * [backup-simplify]: Simplify (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
7.917 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
7.917 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
7.917 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
7.917 * [taylor]: Taking taylor expansion of (* a c) in d
7.917 * [taylor]: Taking taylor expansion of a in d
7.917 * [backup-simplify]: Simplify a into a
7.917 * [taylor]: Taking taylor expansion of c in d
7.917 * [backup-simplify]: Simplify c into c
7.917 * [taylor]: Taking taylor expansion of (* b d) in d
7.917 * [taylor]: Taking taylor expansion of b in d
7.917 * [backup-simplify]: Simplify b into b
7.917 * [taylor]: Taking taylor expansion of d in d
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
7.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
7.917 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
7.917 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.917 * [taylor]: Taking taylor expansion of c in d
7.917 * [backup-simplify]: Simplify c into c
7.917 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.917 * [taylor]: Taking taylor expansion of d in d
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.917 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
7.917 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.917 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
7.917 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.922 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
7.923 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
7.923 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
7.923 * [taylor]: Taking taylor expansion of (* a c) in b
7.923 * [taylor]: Taking taylor expansion of a in b
7.923 * [backup-simplify]: Simplify a into a
7.923 * [taylor]: Taking taylor expansion of c in b
7.923 * [backup-simplify]: Simplify c into c
7.923 * [taylor]: Taking taylor expansion of (* b d) in b
7.923 * [taylor]: Taking taylor expansion of b in b
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify 1 into 1
7.923 * [taylor]: Taking taylor expansion of d in b
7.923 * [backup-simplify]: Simplify d into d
7.923 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
7.923 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
7.923 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
7.923 * [taylor]: Taking taylor expansion of (pow c 2) in b
7.923 * [taylor]: Taking taylor expansion of c in b
7.923 * [backup-simplify]: Simplify c into c
7.923 * [taylor]: Taking taylor expansion of (pow d 2) in b
7.923 * [taylor]: Taking taylor expansion of d in b
7.923 * [backup-simplify]: Simplify d into d
7.923 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.923 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.923 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
7.923 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
7.924 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
7.924 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.924 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
7.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
7.925 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
7.925 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
7.925 * [taylor]: Taking taylor expansion of (* a c) in c
7.925 * [taylor]: Taking taylor expansion of a in c
7.925 * [backup-simplify]: Simplify a into a
7.925 * [taylor]: Taking taylor expansion of c in c
7.925 * [backup-simplify]: Simplify 0 into 0
7.925 * [backup-simplify]: Simplify 1 into 1
7.925 * [taylor]: Taking taylor expansion of (* b d) in c
7.925 * [taylor]: Taking taylor expansion of b in c
7.925 * [backup-simplify]: Simplify b into b
7.925 * [taylor]: Taking taylor expansion of d in c
7.925 * [backup-simplify]: Simplify d into d
7.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
7.925 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
7.925 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.926 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.926 * [taylor]: Taking taylor expansion of c in c
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 1 into 1
7.926 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.926 * [taylor]: Taking taylor expansion of d in c
7.926 * [backup-simplify]: Simplify d into d
7.926 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.926 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.926 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.926 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
7.926 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.926 * [backup-simplify]: Simplify (+ 0 0) into 0
7.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
7.927 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
7.927 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
7.927 * [taylor]: Taking taylor expansion of (* a c) in a
7.927 * [taylor]: Taking taylor expansion of a in a
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify 1 into 1
7.927 * [taylor]: Taking taylor expansion of c in a
7.927 * [backup-simplify]: Simplify c into c
7.927 * [taylor]: Taking taylor expansion of (* b d) in a
7.927 * [taylor]: Taking taylor expansion of b in a
7.927 * [backup-simplify]: Simplify b into b
7.927 * [taylor]: Taking taylor expansion of d in a
7.927 * [backup-simplify]: Simplify d into d
7.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
7.927 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
7.927 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
7.927 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.927 * [taylor]: Taking taylor expansion of c in a
7.927 * [backup-simplify]: Simplify c into c
7.927 * [taylor]: Taking taylor expansion of (pow d 2) in a
7.927 * [taylor]: Taking taylor expansion of d in a
7.927 * [backup-simplify]: Simplify d into d
7.927 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.927 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.928 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
7.928 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
7.928 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
7.928 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.928 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.929 * [backup-simplify]: Simplify (+ 0 0) into 0
7.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
7.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
7.929 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
7.929 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
7.929 * [taylor]: Taking taylor expansion of (* a c) in a
7.929 * [taylor]: Taking taylor expansion of a in a
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.929 * [taylor]: Taking taylor expansion of c in a
7.929 * [backup-simplify]: Simplify c into c
7.929 * [taylor]: Taking taylor expansion of (* b d) in a
7.929 * [taylor]: Taking taylor expansion of b in a
7.929 * [backup-simplify]: Simplify b into b
7.929 * [taylor]: Taking taylor expansion of d in a
7.929 * [backup-simplify]: Simplify d into d
7.929 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
7.929 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
7.929 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
7.930 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.930 * [taylor]: Taking taylor expansion of c in a
7.930 * [backup-simplify]: Simplify c into c
7.930 * [taylor]: Taking taylor expansion of (pow d 2) in a
7.930 * [taylor]: Taking taylor expansion of d in a
7.930 * [backup-simplify]: Simplify d into d
7.930 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.930 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.930 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
7.930 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
7.930 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
7.930 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.930 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.931 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
7.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
7.931 * [backup-simplify]: Simplify (* 0 c) into 0
7.932 * [backup-simplify]: Simplify (* b d) into (* b d)
7.932 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
7.932 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
7.932 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
7.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
7.932 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
7.932 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.932 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.932 * [taylor]: Taking taylor expansion of c in c
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.932 * [taylor]: Taking taylor expansion of d in c
7.932 * [backup-simplify]: Simplify d into d
7.932 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.932 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.932 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.932 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
7.932 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
7.933 * [taylor]: Taking taylor expansion of (* b d) in c
7.933 * [taylor]: Taking taylor expansion of b in c
7.933 * [backup-simplify]: Simplify b into b
7.933 * [taylor]: Taking taylor expansion of d in c
7.933 * [backup-simplify]: Simplify d into d
7.933 * [backup-simplify]: Simplify (* b d) into (* b d)
7.934 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
7.934 * [taylor]: Taking taylor expansion of b in b
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.934 * [taylor]: Taking taylor expansion of 0 in d
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.934 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
7.934 * [backup-simplify]: Simplify (+ c 0) into c
7.935 * [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)))))
7.935 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
7.935 * [taylor]: Taking taylor expansion of c in c
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 1 into 1
7.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
7.935 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
7.935 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
7.935 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.935 * [taylor]: Taking taylor expansion of c in c
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 1 into 1
7.935 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.935 * [taylor]: Taking taylor expansion of d in c
7.935 * [backup-simplify]: Simplify d into d
7.935 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.935 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
7.935 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.935 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
7.935 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.936 * [backup-simplify]: Simplify (+ 0 0) into 0
7.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
7.936 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
7.936 * [taylor]: Taking taylor expansion of 0 in b
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [taylor]: Taking taylor expansion of 0 in d
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
7.937 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
7.937 * [taylor]: Taking taylor expansion of 0 in b
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [taylor]: Taking taylor expansion of 0 in d
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [taylor]: Taking taylor expansion of 1 in d
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
7.938 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
7.938 * [backup-simplify]: Simplify (+ 0 0) into 0
7.939 * [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
7.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
7.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.941 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
7.941 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
7.941 * [taylor]: Taking taylor expansion of 0 in c
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [taylor]: Taking taylor expansion of 0 in b
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [taylor]: Taking taylor expansion of 0 in d
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
7.942 * [taylor]: Taking taylor expansion of (/ 1 d) in b
7.942 * [taylor]: Taking taylor expansion of d in b
7.942 * [backup-simplify]: Simplify d into d
7.942 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
7.942 * [taylor]: Taking taylor expansion of (/ 1 d) in d
7.942 * [taylor]: Taking taylor expansion of d in d
7.942 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify 1 into 1
7.943 * [backup-simplify]: Simplify (/ 1 1) into 1
7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
7.944 * [backup-simplify]: Simplify (* 1 1) into 1
7.945 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
7.945 * [backup-simplify]: Simplify (+ 1 0) into 1
7.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
7.946 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
7.947 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
7.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
7.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
7.947 * [taylor]: Taking taylor expansion of 1/2 in b
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
7.947 * [taylor]: Taking taylor expansion of b in b
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 1 into 1
7.947 * [taylor]: Taking taylor expansion of (pow d 2) in b
7.947 * [taylor]: Taking taylor expansion of d in b
7.947 * [backup-simplify]: Simplify d into d
7.947 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.947 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.947 * [taylor]: Taking taylor expansion of 0 in d
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [taylor]: Taking taylor expansion of 0 in d
7.947 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [taylor]: Taking taylor expansion of 0 in d
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
7.948 * [backup-simplify]: Simplify (* (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (/ 1 (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))))))
7.949 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
7.949 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
7.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
7.949 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
7.949 * [taylor]: Taking taylor expansion of (* b d) in d
7.949 * [taylor]: Taking taylor expansion of b in d
7.949 * [backup-simplify]: Simplify b into b
7.949 * [taylor]: Taking taylor expansion of d in d
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 1 into 1
7.949 * [backup-simplify]: Simplify (* b 0) into 0
7.950 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
7.950 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
7.950 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
7.950 * [taylor]: Taking taylor expansion of (* a c) in d
7.950 * [taylor]: Taking taylor expansion of a in d
7.950 * [backup-simplify]: Simplify a into a
7.950 * [taylor]: Taking taylor expansion of c in d
7.950 * [backup-simplify]: Simplify c into c
7.950 * [backup-simplify]: Simplify (* a c) into (* a c)
7.950 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
7.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
7.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
7.950 * [taylor]: Taking taylor expansion of (pow c 2) in d
7.950 * [taylor]: Taking taylor expansion of c in d
7.950 * [backup-simplify]: Simplify c into c
7.950 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.950 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.950 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
7.950 * [taylor]: Taking taylor expansion of (pow d 2) in d
7.950 * [taylor]: Taking taylor expansion of d in d
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (* 1 1) into 1
7.951 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [backup-simplify]: Simplify (+ 0 1) into 1
7.952 * [backup-simplify]: Simplify (/ 1 1) into 1
7.952 * [backup-simplify]: Simplify (sqrt 1) into 1
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.956 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
7.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
7.956 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
7.956 * [taylor]: Taking taylor expansion of (* b d) in b
7.956 * [taylor]: Taking taylor expansion of b in b
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [taylor]: Taking taylor expansion of d in b
7.956 * [backup-simplify]: Simplify d into d
7.956 * [backup-simplify]: Simplify (* 0 d) into 0
7.957 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
7.957 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
7.957 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
7.957 * [taylor]: Taking taylor expansion of (* a c) in b
7.957 * [taylor]: Taking taylor expansion of a in b
7.957 * [backup-simplify]: Simplify a into a
7.957 * [taylor]: Taking taylor expansion of c in b
7.957 * [backup-simplify]: Simplify c into c
7.957 * [backup-simplify]: Simplify (* a c) into (* a c)
7.957 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
7.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
7.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
7.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
7.957 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
7.957 * [taylor]: Taking taylor expansion of (pow c 2) in b
7.957 * [taylor]: Taking taylor expansion of c in b
7.957 * [backup-simplify]: Simplify c into c
7.957 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.957 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.957 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
7.957 * [taylor]: Taking taylor expansion of (pow d 2) in b
7.957 * [taylor]: Taking taylor expansion of d in b
7.957 * [backup-simplify]: Simplify d into d
7.957 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.957 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.957 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
7.957 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.957 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
7.958 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.958 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
7.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
7.958 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
7.958 * [taylor]: Taking taylor expansion of (* b d) in c
7.958 * [taylor]: Taking taylor expansion of b in c
7.958 * [backup-simplify]: Simplify b into b
7.958 * [taylor]: Taking taylor expansion of d in c
7.959 * [backup-simplify]: Simplify d into d
7.959 * [backup-simplify]: Simplify (* b d) into (* b d)
7.959 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
7.959 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
7.959 * [taylor]: Taking taylor expansion of (* a c) in c
7.959 * [taylor]: Taking taylor expansion of a in c
7.959 * [backup-simplify]: Simplify a into a
7.959 * [taylor]: Taking taylor expansion of c in c
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 1 into 1
7.959 * [backup-simplify]: Simplify (* a 0) into 0
7.959 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
7.959 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
7.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
7.959 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.959 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.959 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.959 * [taylor]: Taking taylor expansion of c in c
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 1 into 1
7.959 * [backup-simplify]: Simplify (* 1 1) into 1
7.960 * [backup-simplify]: Simplify (/ 1 1) into 1
7.960 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.960 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.960 * [taylor]: Taking taylor expansion of d in c
7.960 * [backup-simplify]: Simplify d into d
7.960 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.960 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.960 * [backup-simplify]: Simplify (+ 1 0) into 1
7.960 * [backup-simplify]: Simplify (/ 1 1) into 1
7.961 * [backup-simplify]: Simplify (sqrt 1) into 1
7.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.962 * [backup-simplify]: Simplify (+ 0 0) into 0
7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.962 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
7.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
7.963 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
7.963 * [taylor]: Taking taylor expansion of (* b d) in a
7.963 * [taylor]: Taking taylor expansion of b in a
7.963 * [backup-simplify]: Simplify b into b
7.963 * [taylor]: Taking taylor expansion of d in a
7.963 * [backup-simplify]: Simplify d into d
7.963 * [backup-simplify]: Simplify (* b d) into (* b d)
7.963 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
7.963 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.963 * [taylor]: Taking taylor expansion of (* a c) in a
7.963 * [taylor]: Taking taylor expansion of a in a
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [taylor]: Taking taylor expansion of c in a
7.963 * [backup-simplify]: Simplify c into c
7.963 * [backup-simplify]: Simplify (* 0 c) into 0
7.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.963 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
7.963 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
7.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
7.963 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
7.963 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.963 * [taylor]: Taking taylor expansion of c in a
7.963 * [backup-simplify]: Simplify c into c
7.963 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.963 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.963 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
7.963 * [taylor]: Taking taylor expansion of (pow d 2) in a
7.963 * [taylor]: Taking taylor expansion of d in a
7.963 * [backup-simplify]: Simplify d into d
7.963 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.963 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.964 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
7.964 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.964 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
7.964 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.964 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.964 * [backup-simplify]: Simplify (+ 0 0) into 0
7.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.965 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
7.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
7.965 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
7.965 * [taylor]: Taking taylor expansion of (* b d) in a
7.965 * [taylor]: Taking taylor expansion of b in a
7.965 * [backup-simplify]: Simplify b into b
7.965 * [taylor]: Taking taylor expansion of d in a
7.965 * [backup-simplify]: Simplify d into d
7.965 * [backup-simplify]: Simplify (* b d) into (* b d)
7.965 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
7.965 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
7.965 * [taylor]: Taking taylor expansion of (* a c) in a
7.965 * [taylor]: Taking taylor expansion of a in a
7.965 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify 1 into 1
7.965 * [taylor]: Taking taylor expansion of c in a
7.965 * [backup-simplify]: Simplify c into c
7.965 * [backup-simplify]: Simplify (* 0 c) into 0
7.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
7.965 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
7.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
7.965 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
7.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
7.965 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
7.965 * [taylor]: Taking taylor expansion of (pow c 2) in a
7.965 * [taylor]: Taking taylor expansion of c in a
7.965 * [backup-simplify]: Simplify c into c
7.966 * [backup-simplify]: Simplify (* c c) into (pow c 2)
7.966 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
7.966 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
7.966 * [taylor]: Taking taylor expansion of (pow d 2) in a
7.966 * [taylor]: Taking taylor expansion of d in a
7.966 * [backup-simplify]: Simplify d into d
7.966 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.966 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.966 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
7.966 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
7.966 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
7.966 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
7.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
7.966 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.967 * [backup-simplify]: Simplify (+ 0 0) into 0
7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.967 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
7.967 * [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))
7.967 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
7.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
7.967 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.967 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.967 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.967 * [taylor]: Taking taylor expansion of c in c
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (* 1 1) into 1
7.968 * [backup-simplify]: Simplify (/ 1 1) into 1
7.968 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.968 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.968 * [taylor]: Taking taylor expansion of d in c
7.968 * [backup-simplify]: Simplify d into d
7.968 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.968 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.968 * [backup-simplify]: Simplify (+ 1 0) into 1
7.969 * [backup-simplify]: Simplify (/ 1 1) into 1
7.969 * [backup-simplify]: Simplify (sqrt 1) into 1
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (+ 0 0) into 0
7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.971 * [taylor]: Taking taylor expansion of (/ 1 c) in c
7.971 * [taylor]: Taking taylor expansion of c in c
7.971 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify 1 into 1
7.971 * [backup-simplify]: Simplify (/ 1 1) into 1
7.971 * [backup-simplify]: Simplify (* 1 1) into 1
7.971 * [taylor]: Taking taylor expansion of 1 in b
7.971 * [backup-simplify]: Simplify 1 into 1
7.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
7.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
7.972 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
7.972 * [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))))))
7.972 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
7.972 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
7.972 * [taylor]: Taking taylor expansion of (* b d) in c
7.972 * [taylor]: Taking taylor expansion of b in c
7.972 * [backup-simplify]: Simplify b into b
7.972 * [taylor]: Taking taylor expansion of d in c
7.972 * [backup-simplify]: Simplify d into d
7.972 * [backup-simplify]: Simplify (* b d) into (* b d)
7.972 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
7.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
7.972 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
7.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
7.972 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
7.972 * [taylor]: Taking taylor expansion of (pow c 2) in c
7.972 * [taylor]: Taking taylor expansion of c in c
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.973 * [backup-simplify]: Simplify (* 1 1) into 1
7.973 * [backup-simplify]: Simplify (/ 1 1) into 1
7.973 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
7.973 * [taylor]: Taking taylor expansion of (pow d 2) in c
7.973 * [taylor]: Taking taylor expansion of d in c
7.973 * [backup-simplify]: Simplify d into d
7.973 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.973 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.973 * [backup-simplify]: Simplify (+ 1 0) into 1
7.974 * [backup-simplify]: Simplify (/ 1 1) into 1
7.974 * [backup-simplify]: Simplify (sqrt 1) into 1
7.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.975 * [backup-simplify]: Simplify (+ 0 0) into 0
7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.977 * [taylor]: Taking taylor expansion of 0 in b
7.977 * [backup-simplify]: Simplify 0 into 0
7.977 * [taylor]: Taking taylor expansion of 1 in d
7.977 * [backup-simplify]: Simplify 1 into 1
7.977 * [backup-simplify]: Simplify 1 into 1
7.977 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
7.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
7.977 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
7.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
7.978 * [backup-simplify]: Simplify (+ 0 0) into 0
7.978 * [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
7.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.979 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
7.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
7.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
7.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
7.980 * [taylor]: Taking taylor expansion of 0 in c
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [taylor]: Taking taylor expansion of 0 in b
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
7.980 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
7.980 * [taylor]: Taking taylor expansion of (* b d) in b
7.980 * [taylor]: Taking taylor expansion of b in b
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [taylor]: Taking taylor expansion of d in b
7.980 * [backup-simplify]: Simplify d into d
7.980 * [backup-simplify]: Simplify (* 0 d) into 0
7.981 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
7.981 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
7.981 * [taylor]: Taking taylor expansion of (/ 1 d) in d
7.981 * [taylor]: Taking taylor expansion of d in d
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.981 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
7.984 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
7.985 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
7.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
7.985 * [taylor]: Taking taylor expansion of 1/2 in b
7.985 * [backup-simplify]: Simplify 1/2 into 1/2
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
7.985 * [taylor]: Taking taylor expansion of (pow d 2) in b
7.985 * [taylor]: Taking taylor expansion of d in b
7.985 * [backup-simplify]: Simplify d into d
7.985 * [backup-simplify]: Simplify (* d d) into (pow d 2)
7.985 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
7.985 * [taylor]: Taking taylor expansion of 0 in d
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [taylor]: Taking taylor expansion of 0 in d
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
7.987 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
7.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
7.988 * [backup-simplify]: Simplify (+ 0 0) into 0
7.989 * [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
7.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
7.990 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
7.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
7.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.993 * [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
7.993 * [taylor]: Taking taylor expansion of 0 in c
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [taylor]: Taking taylor expansion of 0 in b
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [taylor]: Taking taylor expansion of 0 in b
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
7.994 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
7.994 * [taylor]: Taking taylor expansion of 0 in b
7.994 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
7.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
8.001 * [taylor]: Taking taylor expansion of 0 in b
8.001 * [backup-simplify]: Simplify 0 into 0
8.001 * [taylor]: Taking taylor expansion of 0 in d
8.001 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.002 * [taylor]: Taking taylor expansion of 0 in d
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
8.002 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.002 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0
8.003 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
8.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.003 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.003 * [taylor]: Taking taylor expansion of (* b d) in d
8.003 * [taylor]: Taking taylor expansion of b in d
8.003 * [backup-simplify]: Simplify b into b
8.003 * [taylor]: Taking taylor expansion of d in d
8.003 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify 1 into 1
8.003 * [backup-simplify]: Simplify (* b 0) into 0
8.003 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.003 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.003 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.003 * [taylor]: Taking taylor expansion of (* a c) in d
8.003 * [taylor]: Taking taylor expansion of a in d
8.003 * [backup-simplify]: Simplify a into a
8.003 * [taylor]: Taking taylor expansion of c in d
8.003 * [backup-simplify]: Simplify c into c
8.003 * [backup-simplify]: Simplify (* a c) into (* a c)
8.004 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
8.004 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
8.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
8.004 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
8.004 * [taylor]: Taking taylor expansion of (pow c 2) in d
8.004 * [taylor]: Taking taylor expansion of c in d
8.004 * [backup-simplify]: Simplify c into c
8.004 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.004 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.004 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
8.004 * [taylor]: Taking taylor expansion of (pow d 2) in d
8.004 * [taylor]: Taking taylor expansion of d in d
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (* 1 1) into 1
8.005 * [backup-simplify]: Simplify (/ 1 1) into 1
8.005 * [backup-simplify]: Simplify (+ 0 1) into 1
8.006 * [backup-simplify]: Simplify (/ 1 1) into 1
8.006 * [backup-simplify]: Simplify (sqrt 1) into 1
8.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (+ 0 0) into 0
8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
8.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.009 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.010 * [taylor]: Taking taylor expansion of (* b d) in b
8.010 * [taylor]: Taking taylor expansion of b in b
8.010 * [backup-simplify]: Simplify 0 into 0
8.010 * [backup-simplify]: Simplify 1 into 1
8.010 * [taylor]: Taking taylor expansion of d in b
8.010 * [backup-simplify]: Simplify d into d
8.010 * [backup-simplify]: Simplify (* 0 d) into 0
8.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.010 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.010 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.010 * [taylor]: Taking taylor expansion of (* a c) in b
8.010 * [taylor]: Taking taylor expansion of a in b
8.010 * [backup-simplify]: Simplify a into a
8.010 * [taylor]: Taking taylor expansion of c in b
8.010 * [backup-simplify]: Simplify c into c
8.010 * [backup-simplify]: Simplify (* a c) into (* a c)
8.011 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
8.011 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
8.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
8.011 * [taylor]: Taking taylor expansion of (pow c 2) in b
8.011 * [taylor]: Taking taylor expansion of c in b
8.011 * [backup-simplify]: Simplify c into c
8.011 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.011 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.011 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.011 * [taylor]: Taking taylor expansion of d in b
8.011 * [backup-simplify]: Simplify d into d
8.011 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.011 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.011 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.011 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.012 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.012 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.012 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.013 * [backup-simplify]: Simplify (+ 0 0) into 0
8.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.013 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.013 * [taylor]: Taking taylor expansion of (* b d) in c
8.013 * [taylor]: Taking taylor expansion of b in c
8.013 * [backup-simplify]: Simplify b into b
8.013 * [taylor]: Taking taylor expansion of d in c
8.013 * [backup-simplify]: Simplify d into d
8.014 * [backup-simplify]: Simplify (* b d) into (* b d)
8.014 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.014 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.014 * [taylor]: Taking taylor expansion of (* a c) in c
8.014 * [taylor]: Taking taylor expansion of a in c
8.014 * [backup-simplify]: Simplify a into a
8.014 * [taylor]: Taking taylor expansion of c in c
8.014 * [backup-simplify]: Simplify 0 into 0
8.014 * [backup-simplify]: Simplify 1 into 1
8.014 * [backup-simplify]: Simplify (* a 0) into 0
8.014 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.014 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.014 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.014 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.015 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.015 * [taylor]: Taking taylor expansion of c in c
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 1 into 1
8.015 * [backup-simplify]: Simplify (* 1 1) into 1
8.015 * [backup-simplify]: Simplify (/ 1 1) into 1
8.015 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.015 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.015 * [taylor]: Taking taylor expansion of d in c
8.015 * [backup-simplify]: Simplify d into d
8.016 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.016 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.016 * [backup-simplify]: Simplify (+ 1 0) into 1
8.016 * [backup-simplify]: Simplify (/ 1 1) into 1
8.017 * [backup-simplify]: Simplify (sqrt 1) into 1
8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.018 * [backup-simplify]: Simplify (+ 0 0) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.019 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.019 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.019 * [taylor]: Taking taylor expansion of (* b d) in a
8.019 * [taylor]: Taking taylor expansion of b in a
8.019 * [backup-simplify]: Simplify b into b
8.019 * [taylor]: Taking taylor expansion of d in a
8.019 * [backup-simplify]: Simplify d into d
8.019 * [backup-simplify]: Simplify (* b d) into (* b d)
8.019 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.019 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.019 * [taylor]: Taking taylor expansion of (* a c) in a
8.019 * [taylor]: Taking taylor expansion of a in a
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.019 * [taylor]: Taking taylor expansion of c in a
8.019 * [backup-simplify]: Simplify c into c
8.019 * [backup-simplify]: Simplify (* 0 c) into 0
8.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.019 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.019 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.019 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.019 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.019 * [taylor]: Taking taylor expansion of c in a
8.019 * [backup-simplify]: Simplify c into c
8.019 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.019 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.020 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.020 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.020 * [taylor]: Taking taylor expansion of d in a
8.020 * [backup-simplify]: Simplify d into d
8.020 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.020 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.020 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.020 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.020 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.020 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.020 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.021 * [backup-simplify]: Simplify (+ 0 0) into 0
8.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.021 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
8.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.021 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.021 * [taylor]: Taking taylor expansion of (* b d) in a
8.021 * [taylor]: Taking taylor expansion of b in a
8.021 * [backup-simplify]: Simplify b into b
8.021 * [taylor]: Taking taylor expansion of d in a
8.021 * [backup-simplify]: Simplify d into d
8.021 * [backup-simplify]: Simplify (* b d) into (* b d)
8.021 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.021 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.021 * [taylor]: Taking taylor expansion of (* a c) in a
8.021 * [taylor]: Taking taylor expansion of a in a
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify 1 into 1
8.021 * [taylor]: Taking taylor expansion of c in a
8.021 * [backup-simplify]: Simplify c into c
8.021 * [backup-simplify]: Simplify (* 0 c) into 0
8.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.022 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
8.022 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
8.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
8.022 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
8.022 * [taylor]: Taking taylor expansion of (pow c 2) in a
8.022 * [taylor]: Taking taylor expansion of c in a
8.022 * [backup-simplify]: Simplify c into c
8.022 * [backup-simplify]: Simplify (* c c) into (pow c 2)
8.022 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
8.022 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
8.022 * [taylor]: Taking taylor expansion of (pow d 2) in a
8.022 * [taylor]: Taking taylor expansion of d in a
8.022 * [backup-simplify]: Simplify d into d
8.022 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.022 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.022 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
8.022 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
8.022 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
8.022 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
8.023 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.023 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.024 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
8.024 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
8.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.024 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.024 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.024 * [taylor]: Taking taylor expansion of c in c
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [backup-simplify]: Simplify (* 1 1) into 1
8.024 * [backup-simplify]: Simplify (/ 1 1) into 1
8.024 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.024 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.024 * [taylor]: Taking taylor expansion of d in c
8.024 * [backup-simplify]: Simplify d into d
8.024 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.024 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.025 * [backup-simplify]: Simplify (+ 1 0) into 1
8.025 * [backup-simplify]: Simplify (/ 1 1) into 1
8.025 * [backup-simplify]: Simplify (sqrt 1) into 1
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.027 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.027 * [taylor]: Taking taylor expansion of c in c
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [backup-simplify]: Simplify (/ 1 1) into 1
8.028 * [backup-simplify]: Simplify (* 1 1) into 1
8.028 * [taylor]: Taking taylor expansion of 1 in b
8.028 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.028 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.029 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
8.029 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
8.029 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.029 * [taylor]: Taking taylor expansion of (* b d) in c
8.029 * [taylor]: Taking taylor expansion of b in c
8.029 * [backup-simplify]: Simplify b into b
8.029 * [taylor]: Taking taylor expansion of d in c
8.029 * [backup-simplify]: Simplify d into d
8.029 * [backup-simplify]: Simplify (* b d) into (* b d)
8.029 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
8.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
8.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
8.029 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
8.029 * [taylor]: Taking taylor expansion of (pow c 2) in c
8.029 * [taylor]: Taking taylor expansion of c in c
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (* 1 1) into 1
8.029 * [backup-simplify]: Simplify (/ 1 1) into 1
8.029 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
8.029 * [taylor]: Taking taylor expansion of (pow d 2) in c
8.029 * [taylor]: Taking taylor expansion of d in c
8.029 * [backup-simplify]: Simplify d into d
8.029 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.030 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.030 * [backup-simplify]: Simplify (+ 1 0) into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [backup-simplify]: Simplify (sqrt 1) into 1
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.031 * [backup-simplify]: Simplify (+ 0 0) into 0
8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.033 * [taylor]: Taking taylor expansion of 0 in b
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [taylor]: Taking taylor expansion of 1 in d
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [backup-simplify]: Simplify 1 into 1
8.034 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.034 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.034 * [backup-simplify]: Simplify (+ 0 0) into 0
8.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.035 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.036 * [backup-simplify]: Simplify (+ 0 0) into 0
8.037 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
8.037 * [taylor]: Taking taylor expansion of 0 in c
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [taylor]: Taking taylor expansion of 0 in b
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
8.037 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.037 * [taylor]: Taking taylor expansion of (* b d) in b
8.037 * [taylor]: Taking taylor expansion of b in b
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [taylor]: Taking taylor expansion of d in b
8.037 * [backup-simplify]: Simplify d into d
8.037 * [backup-simplify]: Simplify (* 0 d) into 0
8.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.040 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.040 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.040 * [taylor]: Taking taylor expansion of d in d
8.040 * [backup-simplify]: Simplify 0 into 0
8.040 * [backup-simplify]: Simplify 1 into 1
8.041 * [backup-simplify]: Simplify (/ 1 1) into 1
8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
8.044 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
8.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
8.045 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
8.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
8.045 * [taylor]: Taking taylor expansion of 1/2 in b
8.045 * [backup-simplify]: Simplify 1/2 into 1/2
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
8.045 * [taylor]: Taking taylor expansion of (pow d 2) in b
8.045 * [taylor]: Taking taylor expansion of d in b
8.045 * [backup-simplify]: Simplify d into d
8.045 * [backup-simplify]: Simplify (* d d) into (pow d 2)
8.046 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
8.046 * [taylor]: Taking taylor expansion of 0 in d
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [taylor]: Taking taylor expansion of 0 in d
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
8.048 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
8.048 * [backup-simplify]: Simplify (+ 0 0) into 0
8.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
8.051 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
8.054 * [taylor]: Taking taylor expansion of 0 in c
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [taylor]: Taking taylor expansion of 0 in b
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [taylor]: Taking taylor expansion of 0 in b
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.055 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
8.055 * [taylor]: Taking taylor expansion of 0 in b
8.055 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.057 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
8.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
8.058 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
8.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
8.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
8.061 * [taylor]: Taking taylor expansion of 0 in b
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [taylor]: Taking taylor expansion of 0 in d
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.062 * [taylor]: Taking taylor expansion of 0 in d
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
8.062 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
8.062 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
8.062 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
8.062 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
8.062 * [taylor]: Taking taylor expansion of (* a c) in d
8.062 * [taylor]: Taking taylor expansion of a in d
8.062 * [backup-simplify]: Simplify a into a
8.062 * [taylor]: Taking taylor expansion of c in d
8.062 * [backup-simplify]: Simplify c into c
8.062 * [taylor]: Taking taylor expansion of (* b d) in d
8.062 * [taylor]: Taking taylor expansion of b in d
8.062 * [backup-simplify]: Simplify b into b
8.062 * [taylor]: Taking taylor expansion of d in d
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
8.062 * [taylor]: Taking taylor expansion of (* a c) in b
8.062 * [taylor]: Taking taylor expansion of a in b
8.062 * [backup-simplify]: Simplify a into a
8.062 * [taylor]: Taking taylor expansion of c in b
8.062 * [backup-simplify]: Simplify c into c
8.062 * [taylor]: Taking taylor expansion of (* b d) in b
8.062 * [taylor]: Taking taylor expansion of b in b
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [taylor]: Taking taylor expansion of d in b
8.062 * [backup-simplify]: Simplify d into d
8.062 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
8.063 * [taylor]: Taking taylor expansion of (* a c) in c
8.063 * [taylor]: Taking taylor expansion of a in c
8.063 * [backup-simplify]: Simplify a into a
8.063 * [taylor]: Taking taylor expansion of c in c
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [taylor]: Taking taylor expansion of (* b d) in c
8.063 * [taylor]: Taking taylor expansion of b in c
8.063 * [backup-simplify]: Simplify b into b
8.063 * [taylor]: Taking taylor expansion of d in c
8.063 * [backup-simplify]: Simplify d into d
8.063 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.063 * [taylor]: Taking taylor expansion of (* a c) in a
8.063 * [taylor]: Taking taylor expansion of a in a
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [taylor]: Taking taylor expansion of c in a
8.063 * [backup-simplify]: Simplify c into c
8.063 * [taylor]: Taking taylor expansion of (* b d) in a
8.063 * [taylor]: Taking taylor expansion of b in a
8.063 * [backup-simplify]: Simplify b into b
8.063 * [taylor]: Taking taylor expansion of d in a
8.063 * [backup-simplify]: Simplify d into d
8.063 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
8.063 * [taylor]: Taking taylor expansion of (* a c) in a
8.063 * [taylor]: Taking taylor expansion of a in a
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [taylor]: Taking taylor expansion of c in a
8.063 * [backup-simplify]: Simplify c into c
8.063 * [taylor]: Taking taylor expansion of (* b d) in a
8.063 * [taylor]: Taking taylor expansion of b in a
8.063 * [backup-simplify]: Simplify b into b
8.063 * [taylor]: Taking taylor expansion of d in a
8.063 * [backup-simplify]: Simplify d into d
8.063 * [backup-simplify]: Simplify (* 0 c) into 0
8.063 * [backup-simplify]: Simplify (* b d) into (* b d)
8.063 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
8.063 * [taylor]: Taking taylor expansion of (* b d) in c
8.063 * [taylor]: Taking taylor expansion of b in c
8.063 * [backup-simplify]: Simplify b into b
8.063 * [taylor]: Taking taylor expansion of d in c
8.063 * [backup-simplify]: Simplify d into d
8.063 * [backup-simplify]: Simplify (* b d) into (* b d)
8.063 * [taylor]: Taking taylor expansion of (* b d) in b
8.063 * [taylor]: Taking taylor expansion of b in b
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [taylor]: Taking taylor expansion of d in b
8.063 * [backup-simplify]: Simplify d into d
8.063 * [backup-simplify]: Simplify (* 0 d) into 0
8.063 * [taylor]: Taking taylor expansion of 0 in d
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.064 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.064 * [backup-simplify]: Simplify (+ c 0) into c
8.064 * [taylor]: Taking taylor expansion of c in c
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [taylor]: Taking taylor expansion of 0 in b
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [taylor]: Taking taylor expansion of 0 in d
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.064 * [taylor]: Taking taylor expansion of 0 in b
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [taylor]: Taking taylor expansion of 0 in d
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.064 * [taylor]: Taking taylor expansion of d in d
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.065 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.066 * [backup-simplify]: Simplify (+ 0 0) into 0
8.066 * [taylor]: Taking taylor expansion of 0 in c
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [taylor]: Taking taylor expansion of 0 in b
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [taylor]: Taking taylor expansion of 0 in d
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.066 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.066 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.066 * [taylor]: Taking taylor expansion of (* b d) in d
8.066 * [taylor]: Taking taylor expansion of b in d
8.066 * [backup-simplify]: Simplify b into b
8.066 * [taylor]: Taking taylor expansion of d in d
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 1 into 1
8.066 * [backup-simplify]: Simplify (* b 0) into 0
8.066 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.066 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.066 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.066 * [taylor]: Taking taylor expansion of (* a c) in d
8.066 * [taylor]: Taking taylor expansion of a in d
8.066 * [backup-simplify]: Simplify a into a
8.066 * [taylor]: Taking taylor expansion of c in d
8.066 * [backup-simplify]: Simplify c into c
8.066 * [backup-simplify]: Simplify (* a c) into (* a c)
8.066 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.067 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.067 * [taylor]: Taking taylor expansion of (* b d) in b
8.067 * [taylor]: Taking taylor expansion of b in b
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 1 into 1
8.067 * [taylor]: Taking taylor expansion of d in b
8.067 * [backup-simplify]: Simplify d into d
8.067 * [backup-simplify]: Simplify (* 0 d) into 0
8.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.067 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.067 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.067 * [taylor]: Taking taylor expansion of (* a c) in b
8.067 * [taylor]: Taking taylor expansion of a in b
8.067 * [backup-simplify]: Simplify a into a
8.067 * [taylor]: Taking taylor expansion of c in b
8.067 * [backup-simplify]: Simplify c into c
8.067 * [backup-simplify]: Simplify (* a c) into (* a c)
8.067 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.067 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.067 * [taylor]: Taking taylor expansion of (* b d) in c
8.067 * [taylor]: Taking taylor expansion of b in c
8.067 * [backup-simplify]: Simplify b into b
8.067 * [taylor]: Taking taylor expansion of d in c
8.067 * [backup-simplify]: Simplify d into d
8.067 * [backup-simplify]: Simplify (* b d) into (* b d)
8.067 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.067 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.067 * [taylor]: Taking taylor expansion of (* a c) in c
8.067 * [taylor]: Taking taylor expansion of a in c
8.067 * [backup-simplify]: Simplify a into a
8.067 * [taylor]: Taking taylor expansion of c in c
8.067 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify 1 into 1
8.067 * [backup-simplify]: Simplify (* a 0) into 0
8.068 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.068 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.068 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.068 * [taylor]: Taking taylor expansion of (* b d) in a
8.068 * [taylor]: Taking taylor expansion of b in a
8.068 * [backup-simplify]: Simplify b into b
8.068 * [taylor]: Taking taylor expansion of d in a
8.068 * [backup-simplify]: Simplify d into d
8.068 * [backup-simplify]: Simplify (* b d) into (* b d)
8.068 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.068 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.068 * [taylor]: Taking taylor expansion of (* a c) in a
8.068 * [taylor]: Taking taylor expansion of a in a
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [taylor]: Taking taylor expansion of c in a
8.068 * [backup-simplify]: Simplify c into c
8.068 * [backup-simplify]: Simplify (* 0 c) into 0
8.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.068 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.068 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.068 * [taylor]: Taking taylor expansion of (* b d) in a
8.068 * [taylor]: Taking taylor expansion of b in a
8.068 * [backup-simplify]: Simplify b into b
8.068 * [taylor]: Taking taylor expansion of d in a
8.068 * [backup-simplify]: Simplify d into d
8.068 * [backup-simplify]: Simplify (* b d) into (* b d)
8.069 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.069 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.069 * [taylor]: Taking taylor expansion of (* a c) in a
8.069 * [taylor]: Taking taylor expansion of a in a
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [taylor]: Taking taylor expansion of c in a
8.069 * [backup-simplify]: Simplify c into c
8.069 * [backup-simplify]: Simplify (* 0 c) into 0
8.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.069 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.069 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.069 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.069 * [taylor]: Taking taylor expansion of c in c
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (/ 1 1) into 1
8.069 * [taylor]: Taking taylor expansion of 1 in b
8.069 * [backup-simplify]: Simplify 1 into 1
8.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.070 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.070 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.070 * [taylor]: Taking taylor expansion of (* b d) in c
8.070 * [taylor]: Taking taylor expansion of b in c
8.070 * [backup-simplify]: Simplify b into b
8.070 * [taylor]: Taking taylor expansion of d in c
8.070 * [backup-simplify]: Simplify d into d
8.070 * [backup-simplify]: Simplify (* b d) into (* b d)
8.070 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.071 * [taylor]: Taking taylor expansion of 0 in b
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [taylor]: Taking taylor expansion of 1 in d
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.072 * [backup-simplify]: Simplify (+ 0 0) into 0
8.072 * [taylor]: Taking taylor expansion of 0 in c
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.072 * [taylor]: Taking taylor expansion of (* b d) in b
8.072 * [taylor]: Taking taylor expansion of b in b
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [taylor]: Taking taylor expansion of d in b
8.072 * [backup-simplify]: Simplify d into d
8.072 * [backup-simplify]: Simplify (* 0 d) into 0
8.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.072 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.072 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.073 * [taylor]: Taking taylor expansion of d in d
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.073 * [taylor]: Taking taylor expansion of 0 in b
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [taylor]: Taking taylor expansion of 0 in d
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [taylor]: Taking taylor expansion of 0 in d
8.073 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 1 into 1
8.074 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.075 * [backup-simplify]: Simplify (+ 0 0) into 0
8.075 * [taylor]: Taking taylor expansion of 0 in c
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [taylor]: Taking taylor expansion of 0 in b
8.075 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.076 * [taylor]: Taking taylor expansion of 0 in b
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.076 * [taylor]: Taking taylor expansion of 0 in b
8.076 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.077 * [taylor]: Taking taylor expansion of 0 in d
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [taylor]: Taking taylor expansion of 0 in d
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [taylor]: Taking taylor expansion of 0 in d
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [taylor]: Taking taylor expansion of 0 in d
8.077 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify 0 into 0
8.078 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.080 * [backup-simplify]: Simplify (+ 0 0) into 0
8.080 * [taylor]: Taking taylor expansion of 0 in c
8.080 * [backup-simplify]: Simplify 0 into 0
8.080 * [taylor]: Taking taylor expansion of 0 in b
8.080 * [backup-simplify]: Simplify 0 into 0
8.080 * [taylor]: Taking taylor expansion of 0 in b
8.080 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.081 * [taylor]: Taking taylor expansion of 0 in b
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.081 * [taylor]: Taking taylor expansion of 0 in b
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [taylor]: Taking taylor expansion of 0 in d
8.081 * [backup-simplify]: Simplify 0 into 0
8.082 * [taylor]: Taking taylor expansion of 0 in d
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [taylor]: Taking taylor expansion of 0 in d
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.082 * [taylor]: Taking taylor expansion of 0 in d
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [taylor]: Taking taylor expansion of 0 in d
8.082 * [backup-simplify]: Simplify 0 into 0
8.083 * [taylor]: Taking taylor expansion of 0 in d
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [taylor]: Taking taylor expansion of 0 in d
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [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))
8.083 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
8.083 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
8.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
8.083 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
8.083 * [taylor]: Taking taylor expansion of (* b d) in d
8.083 * [taylor]: Taking taylor expansion of b in d
8.083 * [backup-simplify]: Simplify b into b
8.083 * [taylor]: Taking taylor expansion of d in d
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (* b 0) into 0
8.084 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
8.084 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
8.084 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
8.084 * [taylor]: Taking taylor expansion of (* a c) in d
8.084 * [taylor]: Taking taylor expansion of a in d
8.084 * [backup-simplify]: Simplify a into a
8.084 * [taylor]: Taking taylor expansion of c in d
8.084 * [backup-simplify]: Simplify c into c
8.084 * [backup-simplify]: Simplify (* a c) into (* a c)
8.084 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
8.084 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.084 * [taylor]: Taking taylor expansion of (* b d) in b
8.084 * [taylor]: Taking taylor expansion of b in b
8.084 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify 1 into 1
8.084 * [taylor]: Taking taylor expansion of d in b
8.084 * [backup-simplify]: Simplify d into d
8.084 * [backup-simplify]: Simplify (* 0 d) into 0
8.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.084 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.084 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
8.084 * [taylor]: Taking taylor expansion of (* a c) in b
8.084 * [taylor]: Taking taylor expansion of a in b
8.084 * [backup-simplify]: Simplify a into a
8.084 * [taylor]: Taking taylor expansion of c in b
8.084 * [backup-simplify]: Simplify c into c
8.084 * [backup-simplify]: Simplify (* a c) into (* a c)
8.085 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
8.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
8.085 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.085 * [taylor]: Taking taylor expansion of (* b d) in c
8.085 * [taylor]: Taking taylor expansion of b in c
8.085 * [backup-simplify]: Simplify b into b
8.085 * [taylor]: Taking taylor expansion of d in c
8.085 * [backup-simplify]: Simplify d into d
8.085 * [backup-simplify]: Simplify (* b d) into (* b d)
8.085 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.085 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
8.085 * [taylor]: Taking taylor expansion of (* a c) in c
8.085 * [taylor]: Taking taylor expansion of a in c
8.085 * [backup-simplify]: Simplify a into a
8.085 * [taylor]: Taking taylor expansion of c in c
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (* a 0) into 0
8.085 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
8.085 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
8.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.085 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.085 * [taylor]: Taking taylor expansion of (* b d) in a
8.085 * [taylor]: Taking taylor expansion of b in a
8.085 * [backup-simplify]: Simplify b into b
8.085 * [taylor]: Taking taylor expansion of d in a
8.085 * [backup-simplify]: Simplify d into d
8.085 * [backup-simplify]: Simplify (* b d) into (* b d)
8.085 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.085 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.085 * [taylor]: Taking taylor expansion of (* a c) in a
8.085 * [taylor]: Taking taylor expansion of a in a
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [taylor]: Taking taylor expansion of c in a
8.085 * [backup-simplify]: Simplify c into c
8.085 * [backup-simplify]: Simplify (* 0 c) into 0
8.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.086 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
8.086 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
8.086 * [taylor]: Taking taylor expansion of (* b d) in a
8.086 * [taylor]: Taking taylor expansion of b in a
8.086 * [backup-simplify]: Simplify b into b
8.086 * [taylor]: Taking taylor expansion of d in a
8.086 * [backup-simplify]: Simplify d into d
8.086 * [backup-simplify]: Simplify (* b d) into (* b d)
8.086 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.086 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
8.086 * [taylor]: Taking taylor expansion of (* a c) in a
8.086 * [taylor]: Taking taylor expansion of a in a
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of c in a
8.086 * [backup-simplify]: Simplify c into c
8.086 * [backup-simplify]: Simplify (* 0 c) into 0
8.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
8.086 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
8.087 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
8.087 * [taylor]: Taking taylor expansion of (/ 1 c) in c
8.087 * [taylor]: Taking taylor expansion of c in c
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify (/ 1 1) into 1
8.087 * [taylor]: Taking taylor expansion of 1 in b
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
8.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
8.088 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
8.088 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
8.088 * [taylor]: Taking taylor expansion of (* b d) in c
8.088 * [taylor]: Taking taylor expansion of b in c
8.088 * [backup-simplify]: Simplify b into b
8.088 * [taylor]: Taking taylor expansion of d in c
8.088 * [backup-simplify]: Simplify d into d
8.088 * [backup-simplify]: Simplify (* b d) into (* b d)
8.088 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
8.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.088 * [taylor]: Taking taylor expansion of 0 in b
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [taylor]: Taking taylor expansion of 1 in d
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
8.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.090 * [backup-simplify]: Simplify (+ 0 0) into 0
8.090 * [taylor]: Taking taylor expansion of 0 in c
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
8.090 * [taylor]: Taking taylor expansion of (* b d) in b
8.090 * [taylor]: Taking taylor expansion of b in b
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify 1 into 1
8.090 * [taylor]: Taking taylor expansion of d in b
8.090 * [backup-simplify]: Simplify d into d
8.090 * [backup-simplify]: Simplify (* 0 d) into 0
8.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
8.091 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
8.091 * [taylor]: Taking taylor expansion of (/ 1 d) in d
8.091 * [taylor]: Taking taylor expansion of d in d
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [backup-simplify]: Simplify (/ 1 1) into 1
8.091 * [backup-simplify]: Simplify 1 into 1
8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [taylor]: Taking taylor expansion of 0 in b
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [taylor]: Taking taylor expansion of 0 in d
8.092 * [backup-simplify]: Simplify 0 into 0
8.093 * [taylor]: Taking taylor expansion of 0 in d
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
8.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.095 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [taylor]: Taking taylor expansion of 0 in c
8.095 * [backup-simplify]: Simplify 0 into 0
8.095 * [taylor]: Taking taylor expansion of 0 in b
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
8.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
8.096 * [taylor]: Taking taylor expansion of 0 in b
8.096 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.097 * [taylor]: Taking taylor expansion of 0 in b
8.097 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
8.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
8.098 * [taylor]: Taking taylor expansion of 0 in d
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [taylor]: Taking taylor expansion of 0 in d
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [taylor]: Taking taylor expansion of 0 in d
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [taylor]: Taking taylor expansion of 0 in d
8.098 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
8.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
8.103 * [backup-simplify]: Simplify (+ 0 0) into 0
8.103 * [taylor]: Taking taylor expansion of 0 in c
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [taylor]: Taking taylor expansion of 0 in b
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [taylor]: Taking taylor expansion of 0 in b
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
8.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
8.104 * [taylor]: Taking taylor expansion of 0 in b
8.104 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.105 * [taylor]: Taking taylor expansion of 0 in b
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [taylor]: Taking taylor expansion of 0 in d
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [taylor]: Taking taylor expansion of 0 in d
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [taylor]: Taking taylor expansion of 0 in d
8.105 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
8.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
8.106 * [taylor]: Taking taylor expansion of 0 in d
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [taylor]: Taking taylor expansion of 0 in d
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [taylor]: Taking taylor expansion of 0 in d
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [taylor]: Taking taylor expansion of 0 in d
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [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))
8.108 * * * [progress]: simplifying candidates
8.108 * * * * [progress]: [ 1 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (+ (* c c) (* d d)) 1/2)))>
8.108 * * * * [progress]: [ 2 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
8.108 * * * * [progress]: [ 3 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
8.108 * * * * [progress]: [ 4 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
8.108 * * * * [progress]: [ 5 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
8.108 * * * * [progress]: [ 6 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
8.108 * * * * [progress]: [ 7 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
8.108 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
8.108 * * [simplify]: iters left: 6 (8 enodes)
8.112 * * [simplify]: iters left: 5 (26 enodes)
8.119 * * [simplify]: Extracting #0: cost 1 inf + 0
8.119 * * [simplify]: Extracting #1: cost 4 inf + 0
8.119 * * [simplify]: Extracting #2: cost 7 inf + 0
8.119 * * [simplify]: Extracting #3: cost 10 inf + 0
8.119 * * [simplify]: Extracting #4: cost 14 inf + 0
8.119 * * [simplify]: Extracting #5: cost 10 inf + 84
8.119 * * [simplify]: Extracting #6: cost 8 inf + 166
8.120 * * [simplify]: Extracting #7: cost 4 inf + 854
8.121 * * [simplify]: Extracting #8: cost 1 inf + 1540
8.121 * * [simplify]: Extracting #9: cost 0 inf + 1782
8.122 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
8.122 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
8.122 * * * * [progress]: [ 8 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
8.122 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
8.122 * * [simplify]: iters left: 6 (7 enodes)
8.125 * * [simplify]: iters left: 5 (22 enodes)
8.131 * * [simplify]: Extracting #0: cost 1 inf + 0
8.131 * * [simplify]: Extracting #1: cost 3 inf + 0
8.131 * * [simplify]: Extracting #2: cost 5 inf + 0
8.131 * * [simplify]: Extracting #3: cost 8 inf + 0
8.131 * * [simplify]: Extracting #4: cost 12 inf + 0
8.131 * * [simplify]: Extracting #5: cost 10 inf + 2
8.132 * * [simplify]: Extracting #6: cost 1 inf + 936
8.132 * * [simplify]: Extracting #7: cost 0 inf + 1138
8.132 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
8.132 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
8.133 * * * * [progress]: [ 9 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
8.133 * [simplify]: Simplifying (sqrt 1)
8.133 * * [simplify]: iters left: 1 (2 enodes)
8.136 * * [simplify]: Extracting #0: cost 1 inf + 0
8.136 * * [simplify]: Extracting #1: cost 0 inf + 1
8.136 * [simplify]: Simplified to 1
8.136 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d))))))
8.136 * * * * [progress]: [ 10 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))>
8.137 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
8.137 * * [simplify]: iters left: 6 (9 enodes)
8.142 * * [simplify]: iters left: 5 (45 enodes)
8.162 * * [simplify]: iters left: 4 (100 enodes)
8.210 * * [simplify]: iters left: 3 (201 enodes)
8.286 * * [simplify]: iters left: 2 (406 enodes)
8.422 * * [simplify]: Extracting #0: cost 1 inf + 0
8.422 * * [simplify]: Extracting #1: cost 3 inf + 0
8.422 * * [simplify]: Extracting #2: cost 6 inf + 0
8.422 * * [simplify]: Extracting #3: cost 62 inf + 0
8.423 * * [simplify]: Extracting #4: cost 166 inf + 460
8.426 * * [simplify]: Extracting #5: cost 131 inf + 12951
8.433 * * [simplify]: Extracting #6: cost 49 inf + 45746
8.442 * * [simplify]: Extracting #7: cost 1 inf + 66256
8.448 * * [simplify]: Extracting #8: cost 0 inf + 65919
8.454 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
8.454 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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))))))))
8.454 * * * * [progress]: [ 11 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
8.454 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
8.454 * * [simplify]: iters left: 6 (8 enodes)
8.456 * * [simplify]: iters left: 5 (37 enodes)
8.462 * * [simplify]: iters left: 4 (67 enodes)
8.477 * * [simplify]: iters left: 3 (123 enodes)
8.530 * * [simplify]: iters left: 2 (278 enodes)
8.630 * * [simplify]: Extracting #0: cost 1 inf + 0
8.630 * * [simplify]: Extracting #1: cost 3 inf + 0
8.630 * * [simplify]: Extracting #2: cost 50 inf + 0
8.631 * * [simplify]: Extracting #3: cost 150 inf + 0
8.632 * * [simplify]: Extracting #4: cost 194 inf + 1180
8.636 * * [simplify]: Extracting #5: cost 123 inf + 12421
8.648 * * [simplify]: Extracting #6: cost 12 inf + 33804
8.668 * * [simplify]: Extracting #7: cost 0 inf + 36129
8.683 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
8.684 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))
8.684 * * * * [progress]: [ 12 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (+ (* c c) (* d d)) (/ 1 2))))>
8.684 * [simplify]: Simplifying (+ (* c c) (* d d))
8.684 * * [simplify]: iters left: 4 (5 enodes)
8.686 * * [simplify]: iters left: 3 (16 enodes)
8.691 * * [simplify]: Extracting #0: cost 1 inf + 0
8.691 * * [simplify]: Extracting #1: cost 4 inf + 0
8.691 * * [simplify]: Extracting #2: cost 8 inf + 0
8.691 * * [simplify]: Extracting #3: cost 4 inf + 84
8.691 * * [simplify]: Extracting #4: cost 0 inf + 410
8.691 * [simplify]: Simplified to (+ (* c c) (* d d))
8.691 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (+ (* c c) (* d d)) (/ 1 2))))
8.692 * * * * [progress]: [ 13 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
8.692 * * * * [progress]: [ 14 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d))))))>
8.692 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
8.692 * * [simplify]: iters left: 5 (6 enodes)
8.695 * * [simplify]: iters left: 4 (19 enodes)
8.700 * * [simplify]: Extracting #0: cost 1 inf + 0
8.700 * * [simplify]: Extracting #1: cost 3 inf + 0
8.700 * * [simplify]: Extracting #2: cost 6 inf + 0
8.700 * * [simplify]: Extracting #3: cost 10 inf + 0
8.700 * * [simplify]: Extracting #4: cost 6 inf + 84
8.700 * * [simplify]: Extracting #5: cost 0 inf + 734
8.700 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
8.700 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d))))))
8.701 * * * * [progress]: [ 15 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d))))))>
8.701 * * * * [progress]: [ 16 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d)))))))>
8.701 * * * * [progress]: [ 17 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (pow (+ (* c c) (* d d)) 1/2))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 18 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (pow (sqrt (+ (* c c) (* d d))) 1))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 19 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (exp (log (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 20 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (log (exp (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 21 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 22 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.701 * * * * [progress]: [ 23 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.701 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
8.702 * * [simplify]: iters left: 6 (8 enodes)
8.705 * * [simplify]: iters left: 5 (26 enodes)
8.708 * * [simplify]: Extracting #0: cost 1 inf + 0
8.708 * * [simplify]: Extracting #1: cost 4 inf + 0
8.708 * * [simplify]: Extracting #2: cost 7 inf + 0
8.708 * * [simplify]: Extracting #3: cost 10 inf + 0
8.708 * * [simplify]: Extracting #4: cost 14 inf + 0
8.708 * * [simplify]: Extracting #5: cost 10 inf + 84
8.708 * * [simplify]: Extracting #6: cost 8 inf + 166
8.708 * * [simplify]: Extracting #7: cost 4 inf + 854
8.709 * * [simplify]: Extracting #8: cost 1 inf + 1540
8.709 * * [simplify]: Extracting #9: cost 0 inf + 1782
8.709 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
8.709 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
8.709 * * * * [progress]: [ 24 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
8.709 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
8.710 * * [simplify]: iters left: 6 (7 enodes)
8.711 * * [simplify]: iters left: 5 (22 enodes)
8.714 * * [simplify]: Extracting #0: cost 1 inf + 0
8.714 * * [simplify]: Extracting #1: cost 3 inf + 0
8.714 * * [simplify]: Extracting #2: cost 5 inf + 0
8.714 * * [simplify]: Extracting #3: cost 8 inf + 0
8.714 * * [simplify]: Extracting #4: cost 12 inf + 0
8.714 * * [simplify]: Extracting #5: cost 10 inf + 2
8.714 * * [simplify]: Extracting #6: cost 1 inf + 936
8.714 * * [simplify]: Extracting #7: cost 0 inf + 1138
8.715 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
8.715 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
8.715 * * * * [progress]: [ 25 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
8.715 * [simplify]: Simplifying (sqrt 1)
8.715 * * [simplify]: iters left: 1 (2 enodes)
8.717 * * [simplify]: Extracting #0: cost 1 inf + 0
8.717 * * [simplify]: Extracting #1: cost 0 inf + 1
8.717 * [simplify]: Simplified to 1
8.717 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
8.717 * * * * [progress]: [ 26 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (/ (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)))))>
8.717 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
8.717 * * [simplify]: iters left: 6 (9 enodes)
8.720 * * [simplify]: iters left: 5 (45 enodes)
8.730 * * [simplify]: iters left: 4 (100 enodes)
8.773 * * [simplify]: iters left: 3 (201 enodes)
8.826 * * [simplify]: iters left: 2 (406 enodes)
8.945 * * [simplify]: Extracting #0: cost 1 inf + 0
8.945 * * [simplify]: Extracting #1: cost 3 inf + 0
8.945 * * [simplify]: Extracting #2: cost 6 inf + 0
8.945 * * [simplify]: Extracting #3: cost 62 inf + 0
8.946 * * [simplify]: Extracting #4: cost 166 inf + 460
8.947 * * [simplify]: Extracting #5: cost 131 inf + 12951
8.951 * * [simplify]: Extracting #6: cost 49 inf + 45746
8.959 * * [simplify]: Extracting #7: cost 1 inf + 66256
8.970 * * [simplify]: Extracting #8: cost 0 inf + 65919
8.982 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
8.982 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b 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)))))))) (sqrt (+ (* c c) (* d d)))))
8.982 * * * * [progress]: [ 27 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
8.982 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
8.982 * * [simplify]: iters left: 6 (8 enodes)
8.986 * * [simplify]: iters left: 5 (37 enodes)
8.992 * * [simplify]: iters left: 4 (67 enodes)
9.003 * * [simplify]: iters left: 3 (123 enodes)
9.034 * * [simplify]: iters left: 2 (278 enodes)
9.144 * * [simplify]: Extracting #0: cost 1 inf + 0
9.144 * * [simplify]: Extracting #1: cost 3 inf + 0
9.144 * * [simplify]: Extracting #2: cost 50 inf + 0
9.145 * * [simplify]: Extracting #3: cost 150 inf + 0
9.145 * * [simplify]: Extracting #4: cost 194 inf + 1180
9.148 * * [simplify]: Extracting #5: cost 123 inf + 12421
9.156 * * [simplify]: Extracting #6: cost 12 inf + 33804
9.172 * * [simplify]: Extracting #7: cost 0 inf + 36129
9.187 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
9.187 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
9.187 * * * * [progress]: [ 28 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (pow (+ (* c c) (* d d)) (/ 1 2)))) (sqrt (+ (* c c) (* d d)))))>
9.188 * [simplify]: Simplifying (+ (* c c) (* d d))
9.188 * * [simplify]: iters left: 4 (5 enodes)
9.190 * * [simplify]: iters left: 3 (16 enodes)
9.199 * * [simplify]: Extracting #0: cost 1 inf + 0
9.199 * * [simplify]: Extracting #1: cost 4 inf + 0
9.199 * * [simplify]: Extracting #2: cost 8 inf + 0
9.199 * * [simplify]: Extracting #3: cost 4 inf + 84
9.199 * * [simplify]: Extracting #4: cost 0 inf + 410
9.199 * [simplify]: Simplified to (+ (* c c) (* d d))
9.199 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (pow (+ (* c c) (* d d)) (/ 1 2)))) (sqrt (+ (* c c) (* d d)))))
9.200 * * * * [progress]: [ 29 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.200 * * * * [progress]: [ 30 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
9.200 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
9.200 * * [simplify]: iters left: 5 (6 enodes)
9.201 * * [simplify]: iters left: 4 (19 enodes)
9.204 * * [simplify]: Extracting #0: cost 1 inf + 0
9.204 * * [simplify]: Extracting #1: cost 3 inf + 0
9.204 * * [simplify]: Extracting #2: cost 6 inf + 0
9.204 * * [simplify]: Extracting #3: cost 10 inf + 0
9.204 * * [simplify]: Extracting #4: cost 6 inf + 84
9.204 * * [simplify]: Extracting #5: cost 0 inf + 734
9.204 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
9.204 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
9.204 * * * * [progress]: [ 31 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
9.204 * * * * [progress]: [ 32 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (posit16->real (real->posit16 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.204 * * * * [progress]: [ 33 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))>
9.205 * [simplify]: Simplifying (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
9.205 * * [simplify]: iters left: 6 (14 enodes)
9.208 * * [simplify]: iters left: 5 (51 enodes)
9.216 * * [simplify]: iters left: 4 (65 enodes)
9.227 * * [simplify]: iters left: 3 (110 enodes)
9.249 * * [simplify]: iters left: 2 (164 enodes)
9.286 * * [simplify]: iters left: 1 (193 enodes)
9.313 * * [simplify]: Extracting #0: cost 1 inf + 0
9.313 * * [simplify]: Extracting #1: cost 9 inf + 0
9.314 * * [simplify]: Extracting #2: cost 35 inf + 1
9.314 * * [simplify]: Extracting #3: cost 45 inf + 47
9.314 * * [simplify]: Extracting #4: cost 40 inf + 503
9.315 * * [simplify]: Extracting #5: cost 18 inf + 4920
9.317 * * [simplify]: Extracting #6: cost 1 inf + 8769
9.319 * * [simplify]: Extracting #7: cost 0 inf + 9013
9.322 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
9.322 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (pow (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))
9.322 * * * * [progress]: [ 34 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))>
9.322 * * * * [progress]: [ 35 / 110 ] 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)))))>
9.322 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log (sqrt (+ (* c c) (* d d))))))
9.322 * * [simplify]: iters left: 6 (15 enodes)
9.325 * * [simplify]: iters left: 5 (51 enodes)
9.331 * * [simplify]: Extracting #0: cost 1 inf + 0
9.331 * * [simplify]: Extracting #1: cost 5 inf + 0
9.331 * * [simplify]: Extracting #2: cost 10 inf + 0
9.331 * * [simplify]: Extracting #3: cost 15 inf + 0
9.332 * * [simplify]: Extracting #4: cost 24 inf + 0
9.332 * * [simplify]: Extracting #5: cost 20 inf + 87
9.332 * * [simplify]: Extracting #6: cost 12 inf + 737
9.332 * * [simplify]: Extracting #7: cost 5 inf + 1882
9.333 * * [simplify]: Extracting #8: cost 0 inf + 3476
9.333 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))
9.333 * [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)))))
9.333 * * * * [progress]: [ 36 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (+ (log (+ (* a c) (* b d))) (- 0 (log (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.333 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- 0 (log (sqrt (+ (* c c) (* d d))))))
9.334 * * [simplify]: iters left: 6 (16 enodes)
9.337 * * [simplify]: iters left: 5 (57 enodes)
9.346 * * [simplify]: iters left: 4 (65 enodes)
9.364 * * [simplify]: iters left: 3 (75 enodes)
9.387 * * [simplify]: iters left: 2 (88 enodes)
9.411 * * [simplify]: iters left: 1 (90 enodes)
9.432 * * [simplify]: Extracting #0: cost 1 inf + 0
9.433 * * [simplify]: Extracting #1: cost 8 inf + 0
9.433 * * [simplify]: Extracting #2: cost 15 inf + 1
9.433 * * [simplify]: Extracting #3: cost 20 inf + 1
9.433 * * [simplify]: Extracting #4: cost 29 inf + 1
9.433 * * [simplify]: Extracting #5: cost 25 inf + 88
9.434 * * [simplify]: Extracting #6: cost 13 inf + 1295
9.435 * * [simplify]: Extracting #7: cost 2 inf + 4218
9.437 * * [simplify]: Extracting #8: cost 0 inf + 5146
9.440 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))
9.440 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
9.440 * * * * [progress]: [ 37 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (+ (log (+ (* a c) (* b d))) (- (log 1) (log (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.440 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log 1) (log (sqrt (+ (* c c) (* d d))))))
9.440 * * [simplify]: iters left: 6 (17 enodes)
9.449 * * [simplify]: iters left: 5 (62 enodes)
9.466 * * [simplify]: iters left: 4 (65 enodes)
9.483 * * [simplify]: iters left: 3 (73 enodes)
9.492 * * [simplify]: iters left: 2 (83 enodes)
9.508 * * [simplify]: iters left: 1 (96 enodes)
9.525 * * [simplify]: Extracting #0: cost 1 inf + 0
9.525 * * [simplify]: Extracting #1: cost 9 inf + 0
9.525 * * [simplify]: Extracting #2: cost 15 inf + 1
9.525 * * [simplify]: Extracting #3: cost 20 inf + 1
9.525 * * [simplify]: Extracting #4: cost 29 inf + 1
9.525 * * [simplify]: Extracting #5: cost 25 inf + 89
9.526 * * [simplify]: Extracting #6: cost 12 inf + 1684
9.526 * * [simplify]: Extracting #7: cost 2 inf + 4412
9.527 * * [simplify]: Extracting #8: cost 0 inf + 5148
9.529 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))
9.529 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
9.529 * * * * [progress]: [ 38 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (+ (log (+ (* a c) (* b d))) (log (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.529 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (log (/ 1 (sqrt (+ (* c c) (* d d))))))
9.529 * * [simplify]: iters left: 6 (16 enodes)
9.533 * * [simplify]: iters left: 5 (59 enodes)
9.541 * * [simplify]: iters left: 4 (64 enodes)
9.554 * * [simplify]: iters left: 3 (68 enodes)
9.566 * * [simplify]: iters left: 2 (74 enodes)
9.577 * * [simplify]: iters left: 1 (95 enodes)
9.590 * * [simplify]: Extracting #0: cost 1 inf + 0
9.590 * * [simplify]: Extracting #1: cost 9 inf + 0
9.590 * * [simplify]: Extracting #2: cost 16 inf + 1
9.590 * * [simplify]: Extracting #3: cost 23 inf + 1
9.591 * * [simplify]: Extracting #4: cost 31 inf + 2
9.591 * * [simplify]: Extracting #5: cost 28 inf + 48
9.591 * * [simplify]: Extracting #6: cost 11 inf + 1979
9.593 * * [simplify]: Extracting #7: cost 2 inf + 4711
9.595 * * [simplify]: Extracting #8: cost 0 inf + 5555
9.600 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))
9.600 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
9.600 * * * * [progress]: [ 39 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.600 * * * * [progress]: [ 40 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.600 * * * * [progress]: [ 41 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.600 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
9.601 * * [simplify]: iters left: 6 (20 enodes)
9.611 * * [simplify]: iters left: 5 (84 enodes)
9.645 * * [simplify]: iters left: 4 (263 enodes)
9.776 * * [simplify]: Extracting #0: cost 1 inf + 0
9.776 * * [simplify]: Extracting #1: cost 41 inf + 0
9.777 * * [simplify]: Extracting #2: cost 195 inf + 1
9.780 * * [simplify]: Extracting #3: cost 286 inf + 3108
9.799 * * [simplify]: Extracting #4: cost 117 inf + 42489
9.833 * * [simplify]: Extracting #5: cost 7 inf + 78990
9.870 * * [simplify]: Extracting #6: cost 0 inf + 81419
9.896 * [simplify]: Simplified to (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
9.896 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
9.896 * * * * [progress]: [ 42 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
9.897 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))
9.897 * * [simplify]: iters left: 6 (18 enodes)
9.902 * * [simplify]: iters left: 5 (85 enodes)
9.938 * * [simplify]: iters left: 4 (239 enodes)
10.034 * * [simplify]: Extracting #0: cost 1 inf + 0
10.035 * * [simplify]: Extracting #1: cost 28 inf + 0
10.035 * * [simplify]: Extracting #2: cost 136 inf + 1
10.036 * * [simplify]: Extracting #3: cost 237 inf + 746
10.042 * * [simplify]: Extracting #4: cost 88 inf + 34532
10.057 * * [simplify]: Extracting #5: cost 3 inf + 64233
10.082 * * [simplify]: Extracting #6: cost 0 inf + 65408
10.102 * [simplify]: Simplified to (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c))))))
10.103 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c))))))) (sqrt (+ (* c c) (* d d)))))
10.103 * * * * [progress]: [ 43 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
10.103 * * * * [progress]: [ 44 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
10.103 * * * * [progress]: [ 45 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
10.103 * * * * [progress]: [ 46 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (pow (* a c) 3) (pow (* b d) 3)) 1) (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
10.103 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) 1)
10.103 * * [simplify]: iters left: 6 (12 enodes)
10.107 * * [simplify]: iters left: 5 (59 enodes)
10.120 * * [simplify]: iters left: 4 (164 enodes)
10.179 * * [simplify]: iters left: 3 (423 enodes)
10.337 * * [simplify]: Extracting #0: cost 1 inf + 0
10.337 * * [simplify]: Extracting #1: cost 5 inf + 0
10.337 * * [simplify]: Extracting #2: cost 82 inf + 1
10.338 * * [simplify]: Extracting #3: cost 191 inf + 978
10.342 * * [simplify]: Extracting #4: cost 138 inf + 8904
10.346 * * [simplify]: Extracting #5: cost 40 inf + 32744
10.355 * * [simplify]: Extracting #6: cost 5 inf + 46567
10.367 * * [simplify]: Extracting #7: cost 0 inf + 48694
10.379 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
10.379 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
10.380 * [simplify]: Simplifying (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))
10.380 * * [simplify]: iters left: 6 (16 enodes)
10.388 * * [simplify]: iters left: 5 (76 enodes)
10.415 * * [simplify]: iters left: 4 (176 enodes)
10.494 * * [simplify]: iters left: 3 (415 enodes)
10.659 * * [simplify]: Extracting #0: cost 1 inf + 0
10.659 * * [simplify]: Extracting #1: cost 10 inf + 0
10.659 * * [simplify]: Extracting #2: cost 119 inf + 0
10.661 * * [simplify]: Extracting #3: cost 187 inf + 1194
10.668 * * [simplify]: Extracting #4: cost 100 inf + 15287
10.676 * * [simplify]: Extracting #5: cost 3 inf + 36500
10.686 * * [simplify]: Extracting #6: cost 0 inf + 37312
10.695 * [simplify]: Simplified to (* (sqrt (+ (* d d) (* c c))) (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))))
10.695 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (sqrt (+ (* d d) (* c c))) (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
10.695 * * * * [progress]: [ 47 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1) (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
10.696 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1)
10.696 * * [simplify]: iters left: 6 (11 enodes)
10.702 * * [simplify]: iters left: 5 (55 enodes)
10.723 * * [simplify]: iters left: 4 (131 enodes)
10.754 * * [simplify]: iters left: 3 (267 enodes)
10.877 * * [simplify]: iters left: 2 (377 enodes)
11.011 * * [simplify]: Extracting #0: cost 1 inf + 0
11.011 * * [simplify]: Extracting #1: cost 22 inf + 0
11.011 * * [simplify]: Extracting #2: cost 86 inf + 1
11.012 * * [simplify]: Extracting #3: cost 91 inf + 1071
11.014 * * [simplify]: Extracting #4: cost 41 inf + 6689
11.017 * * [simplify]: Extracting #5: cost 0 inf + 13674
11.022 * [simplify]: Simplified to (* (+ (* a c) (* b d)) (- (* a c) (* b d)))
11.022 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
11.022 * [simplify]: Simplifying (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
11.022 * * [simplify]: iters left: 6 (12 enodes)
11.024 * * [simplify]: iters left: 5 (42 enodes)
11.031 * * [simplify]: iters left: 4 (57 enodes)
11.051 * * [simplify]: iters left: 3 (99 enodes)
11.082 * * [simplify]: iters left: 2 (144 enodes)
11.116 * * [simplify]: iters left: 1 (150 enodes)
11.137 * * [simplify]: Extracting #0: cost 1 inf + 0
11.137 * * [simplify]: Extracting #1: cost 7 inf + 0
11.137 * * [simplify]: Extracting #2: cost 29 inf + 0
11.137 * * [simplify]: Extracting #3: cost 37 inf + 169
11.138 * * [simplify]: Extracting #4: cost 26 inf + 1074
11.139 * * [simplify]: Extracting #5: cost 9 inf + 4556
11.140 * * [simplify]: Extracting #6: cost 0 inf + 6660
11.142 * [simplify]: Simplified to (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))
11.142 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
11.142 * * * * [progress]: [ 48 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.142 * * * * [progress]: [ 49 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
11.142 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
11.142 * * [simplify]: iters left: 5 (6 enodes)
11.144 * * [simplify]: iters left: 4 (19 enodes)
11.146 * * [simplify]: Extracting #0: cost 1 inf + 0
11.146 * * [simplify]: Extracting #1: cost 3 inf + 0
11.146 * * [simplify]: Extracting #2: cost 6 inf + 0
11.146 * * [simplify]: Extracting #3: cost 10 inf + 0
11.146 * * [simplify]: Extracting #4: cost 6 inf + 84
11.146 * * [simplify]: Extracting #5: cost 0 inf + 734
11.146 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
11.146 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
11.146 * * * * [progress]: [ 50 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.147 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))
11.147 * * [simplify]: iters left: 6 (16 enodes)
11.150 * * [simplify]: iters left: 5 (55 enodes)
11.159 * * [simplify]: iters left: 4 (57 enodes)
11.174 * * [simplify]: Extracting #0: cost 1 inf + 0
11.174 * * [simplify]: Extracting #1: cost 4 inf + 0
11.174 * * [simplify]: Extracting #2: cost 8 inf + 0
11.175 * * [simplify]: Extracting #3: cost 14 inf + 0
11.175 * * [simplify]: Extracting #4: cost 21 inf + 1
11.175 * * [simplify]: Extracting #5: cost 19 inf + 47
11.175 * * [simplify]: Extracting #6: cost 12 inf + 831
11.176 * * [simplify]: Extracting #7: cost 5 inf + 1684
11.177 * * [simplify]: Extracting #8: cost 0 inf + 3263
11.178 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c))))
11.178 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c)))) (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.178 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))
11.179 * * [simplify]: iters left: 6 (16 enodes)
11.186 * * [simplify]: iters left: 5 (55 enodes)
11.201 * * [simplify]: iters left: 4 (57 enodes)
11.217 * * [simplify]: Extracting #0: cost 1 inf + 0
11.217 * * [simplify]: Extracting #1: cost 4 inf + 0
11.217 * * [simplify]: Extracting #2: cost 8 inf + 0
11.217 * * [simplify]: Extracting #3: cost 14 inf + 0
11.217 * * [simplify]: Extracting #4: cost 21 inf + 1
11.218 * * [simplify]: Extracting #5: cost 19 inf + 47
11.218 * * [simplify]: Extracting #6: cost 12 inf + 831
11.218 * * [simplify]: Extracting #7: cost 5 inf + 1684
11.220 * * [simplify]: Extracting #8: cost 0 inf + 3263
11.221 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c))))
11.221 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
11.221 * * * * [progress]: [ 51 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.222 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))
11.222 * * [simplify]: iters left: 6 (17 enodes)
11.230 * * [simplify]: iters left: 5 (60 enodes)
11.247 * * [simplify]: iters left: 4 (68 enodes)
11.266 * * [simplify]: iters left: 3 (73 enodes)
11.284 * * [simplify]: iters left: 2 (77 enodes)
11.302 * * [simplify]: iters left: 1 (81 enodes)
11.312 * * [simplify]: Extracting #0: cost 1 inf + 0
11.312 * * [simplify]: Extracting #1: cost 7 inf + 0
11.312 * * [simplify]: Extracting #2: cost 12 inf + 1
11.312 * * [simplify]: Extracting #3: cost 17 inf + 1
11.312 * * [simplify]: Extracting #4: cost 26 inf + 1
11.312 * * [simplify]: Extracting #5: cost 23 inf + 47
11.313 * * [simplify]: Extracting #6: cost 10 inf + 1197
11.313 * * [simplify]: Extracting #7: cost 0 inf + 3987
11.314 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.314 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.314 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))
11.315 * * [simplify]: iters left: 6 (17 enodes)
11.318 * * [simplify]: iters left: 5 (60 enodes)
11.328 * * [simplify]: iters left: 4 (68 enodes)
11.342 * * [simplify]: iters left: 3 (73 enodes)
11.351 * * [simplify]: iters left: 2 (77 enodes)
11.361 * * [simplify]: iters left: 1 (81 enodes)
11.377 * * [simplify]: Extracting #0: cost 1 inf + 0
11.377 * * [simplify]: Extracting #1: cost 7 inf + 0
11.377 * * [simplify]: Extracting #2: cost 12 inf + 1
11.377 * * [simplify]: Extracting #3: cost 17 inf + 1
11.377 * * [simplify]: Extracting #4: cost 26 inf + 1
11.377 * * [simplify]: Extracting #5: cost 23 inf + 47
11.378 * * [simplify]: Extracting #6: cost 10 inf + 1197
11.379 * * [simplify]: Extracting #7: cost 0 inf + 3987
11.380 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.380 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
11.381 * * * * [progress]: [ 52 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.381 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))
11.381 * * [simplify]: iters left: 6 (17 enodes)
11.387 * * [simplify]: iters left: 5 (60 enodes)
11.397 * * [simplify]: iters left: 4 (68 enodes)
11.407 * * [simplify]: iters left: 3 (73 enodes)
11.419 * * [simplify]: iters left: 2 (77 enodes)
11.438 * * [simplify]: iters left: 1 (81 enodes)
11.453 * * [simplify]: Extracting #0: cost 1 inf + 0
11.453 * * [simplify]: Extracting #1: cost 7 inf + 0
11.453 * * [simplify]: Extracting #2: cost 12 inf + 1
11.454 * * [simplify]: Extracting #3: cost 17 inf + 1
11.454 * * [simplify]: Extracting #4: cost 26 inf + 1
11.454 * * [simplify]: Extracting #5: cost 23 inf + 47
11.454 * * [simplify]: Extracting #6: cost 10 inf + 1197
11.455 * * [simplify]: Extracting #7: cost 0 inf + 3987
11.455 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.455 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.456 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))
11.456 * * [simplify]: iters left: 6 (17 enodes)
11.460 * * [simplify]: iters left: 5 (60 enodes)
11.468 * * [simplify]: iters left: 4 (68 enodes)
11.479 * * [simplify]: iters left: 3 (73 enodes)
11.500 * * [simplify]: iters left: 2 (77 enodes)
11.519 * * [simplify]: iters left: 1 (81 enodes)
11.539 * * [simplify]: Extracting #0: cost 1 inf + 0
11.539 * * [simplify]: Extracting #1: cost 7 inf + 0
11.539 * * [simplify]: Extracting #2: cost 12 inf + 1
11.539 * * [simplify]: Extracting #3: cost 17 inf + 1
11.539 * * [simplify]: Extracting #4: cost 26 inf + 1
11.539 * * [simplify]: Extracting #5: cost 23 inf + 47
11.540 * * [simplify]: Extracting #6: cost 10 inf + 1197
11.541 * * [simplify]: Extracting #7: cost 0 inf + 3987
11.543 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.543 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
11.543 * * * * [progress]: [ 53 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.543 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
11.544 * * [simplify]: iters left: 6 (16 enodes)
11.551 * * [simplify]: iters left: 5 (57 enodes)
11.568 * * [simplify]: iters left: 4 (63 enodes)
11.586 * * [simplify]: iters left: 3 (72 enodes)
11.601 * * [simplify]: iters left: 2 (74 enodes)
11.610 * * [simplify]: iters left: 1 (77 enodes)
11.621 * * [simplify]: Extracting #0: cost 1 inf + 0
11.621 * * [simplify]: Extracting #1: cost 7 inf + 0
11.621 * * [simplify]: Extracting #2: cost 12 inf + 1
11.621 * * [simplify]: Extracting #3: cost 17 inf + 1
11.621 * * [simplify]: Extracting #4: cost 26 inf + 1
11.621 * * [simplify]: Extracting #5: cost 22 inf + 88
11.622 * * [simplify]: Extracting #6: cost 10 inf + 1235
11.622 * * [simplify]: Extracting #7: cost 2 inf + 3179
11.623 * * [simplify]: Extracting #8: cost 0 inf + 3987
11.624 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.624 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.624 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
11.625 * * [simplify]: iters left: 6 (16 enodes)
11.632 * * [simplify]: iters left: 5 (57 enodes)
11.648 * * [simplify]: iters left: 4 (63 enodes)
11.666 * * [simplify]: iters left: 3 (72 enodes)
11.683 * * [simplify]: iters left: 2 (74 enodes)
11.692 * * [simplify]: iters left: 1 (77 enodes)
11.701 * * [simplify]: Extracting #0: cost 1 inf + 0
11.701 * * [simplify]: Extracting #1: cost 7 inf + 0
11.701 * * [simplify]: Extracting #2: cost 12 inf + 1
11.701 * * [simplify]: Extracting #3: cost 17 inf + 1
11.701 * * [simplify]: Extracting #4: cost 26 inf + 1
11.702 * * [simplify]: Extracting #5: cost 22 inf + 88
11.702 * * [simplify]: Extracting #6: cost 10 inf + 1235
11.702 * * [simplify]: Extracting #7: cost 2 inf + 3179
11.703 * * [simplify]: Extracting #8: cost 0 inf + 3987
11.704 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.704 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
11.704 * * * * [progress]: [ 54 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
11.704 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
11.704 * * [simplify]: iters left: 6 (16 enodes)
11.708 * * [simplify]: iters left: 5 (57 enodes)
11.724 * * [simplify]: iters left: 4 (63 enodes)
11.745 * * [simplify]: iters left: 3 (72 enodes)
11.764 * * [simplify]: iters left: 2 (74 enodes)
11.782 * * [simplify]: iters left: 1 (77 enodes)
11.791 * * [simplify]: Extracting #0: cost 1 inf + 0
11.791 * * [simplify]: Extracting #1: cost 7 inf + 0
11.791 * * [simplify]: Extracting #2: cost 12 inf + 1
11.791 * * [simplify]: Extracting #3: cost 17 inf + 1
11.791 * * [simplify]: Extracting #4: cost 26 inf + 1
11.791 * * [simplify]: Extracting #5: cost 22 inf + 88
11.792 * * [simplify]: Extracting #6: cost 10 inf + 1235
11.792 * * [simplify]: Extracting #7: cost 2 inf + 3179
11.793 * * [simplify]: Extracting #8: cost 0 inf + 3987
11.794 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.794 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
11.794 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))
11.794 * * [simplify]: iters left: 6 (16 enodes)
11.798 * * [simplify]: iters left: 5 (57 enodes)
11.806 * * [simplify]: iters left: 4 (63 enodes)
11.821 * * [simplify]: iters left: 3 (72 enodes)
11.840 * * [simplify]: iters left: 2 (74 enodes)
11.852 * * [simplify]: iters left: 1 (77 enodes)
11.861 * * [simplify]: Extracting #0: cost 1 inf + 0
11.861 * * [simplify]: Extracting #1: cost 7 inf + 0
11.861 * * [simplify]: Extracting #2: cost 12 inf + 1
11.861 * * [simplify]: Extracting #3: cost 17 inf + 1
11.862 * * [simplify]: Extracting #4: cost 26 inf + 1
11.862 * * [simplify]: Extracting #5: cost 22 inf + 88
11.862 * * [simplify]: Extracting #6: cost 10 inf + 1235
11.862 * * [simplify]: Extracting #7: cost 2 inf + 3179
11.863 * * [simplify]: Extracting #8: cost 0 inf + 3987
11.864 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))
11.864 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
11.864 * * * * [progress]: [ 55 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.864 * [simplify]: Simplifying (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))
11.865 * * [simplify]: iters left: 6 (9 enodes)
11.867 * * [simplify]: iters left: 5 (30 enodes)
11.871 * * [simplify]: iters left: 4 (32 enodes)
11.875 * * [simplify]: Extracting #0: cost 1 inf + 0
11.876 * * [simplify]: Extracting #1: cost 3 inf + 0
11.876 * * [simplify]: Extracting #2: cost 6 inf + 0
11.876 * * [simplify]: Extracting #3: cost 7 inf + 1
11.876 * * [simplify]: Extracting #4: cost 10 inf + 1
11.876 * * [simplify]: Extracting #5: cost 14 inf + 1
11.876 * * [simplify]: Extracting #6: cost 12 inf + 3
11.876 * * [simplify]: Extracting #7: cost 8 inf + 248
11.876 * * [simplify]: Extracting #8: cost 4 inf + 776
11.876 * * [simplify]: Extracting #9: cost 0 inf + 1707
11.877 * [simplify]: Simplified to (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))
11.877 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.877 * * * * [progress]: [ 56 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.877 * [simplify]: Simplifying (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))
11.877 * * [simplify]: iters left: 6 (9 enodes)
11.879 * * [simplify]: iters left: 5 (30 enodes)
11.883 * * [simplify]: iters left: 4 (32 enodes)
11.888 * * [simplify]: Extracting #0: cost 1 inf + 0
11.888 * * [simplify]: Extracting #1: cost 3 inf + 0
11.889 * * [simplify]: Extracting #2: cost 6 inf + 0
11.889 * * [simplify]: Extracting #3: cost 7 inf + 1
11.889 * * [simplify]: Extracting #4: cost 10 inf + 1
11.889 * * [simplify]: Extracting #5: cost 14 inf + 1
11.889 * * [simplify]: Extracting #6: cost 12 inf + 3
11.889 * * [simplify]: Extracting #7: cost 8 inf + 248
11.889 * * [simplify]: Extracting #8: cost 4 inf + 776
11.889 * * [simplify]: Extracting #9: cost 0 inf + 1627
11.889 * [simplify]: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))
11.889 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.890 * * * * [progress]: [ 57 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt 1) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.890 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ (* c c) (* d d)))))
11.890 * * [simplify]: iters left: 6 (10 enodes)
11.892 * * [simplify]: iters left: 5 (33 enodes)
11.897 * * [simplify]: iters left: 4 (35 enodes)
11.902 * * [simplify]: Extracting #0: cost 1 inf + 0
11.902 * * [simplify]: Extracting #1: cost 4 inf + 0
11.902 * * [simplify]: Extracting #2: cost 5 inf + 1
11.902 * * [simplify]: Extracting #3: cost 7 inf + 1
11.902 * * [simplify]: Extracting #4: cost 10 inf + 1
11.902 * * [simplify]: Extracting #5: cost 14 inf + 1
11.902 * * [simplify]: Extracting #6: cost 10 inf + 85
11.902 * * [simplify]: Extracting #7: cost 4 inf + 735
11.902 * * [simplify]: Extracting #8: cost 0 inf + 1785
11.903 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
11.903 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.903 * * * * [progress]: [ 58 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (cbrt 1) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.903 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ (* c c) (* d d)))))
11.903 * * [simplify]: iters left: 6 (10 enodes)
11.906 * * [simplify]: iters left: 5 (33 enodes)
11.910 * * [simplify]: iters left: 4 (35 enodes)
11.915 * * [simplify]: Extracting #0: cost 1 inf + 0
11.915 * * [simplify]: Extracting #1: cost 4 inf + 0
11.915 * * [simplify]: Extracting #2: cost 5 inf + 1
11.915 * * [simplify]: Extracting #3: cost 7 inf + 1
11.915 * * [simplify]: Extracting #4: cost 10 inf + 1
11.915 * * [simplify]: Extracting #5: cost 14 inf + 1
11.915 * * [simplify]: Extracting #6: cost 10 inf + 85
11.915 * * [simplify]: Extracting #7: cost 4 inf + 815
11.916 * * [simplify]: Extracting #8: cost 0 inf + 1865
11.916 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))
11.916 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.916 * * * * [progress]: [ 59 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.916 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))
11.916 * * [simplify]: iters left: 6 (10 enodes)
11.919 * * [simplify]: iters left: 5 (33 enodes)
11.923 * * [simplify]: iters left: 4 (35 enodes)
11.934 * * [simplify]: Extracting #0: cost 1 inf + 0
11.934 * * [simplify]: Extracting #1: cost 4 inf + 0
11.934 * * [simplify]: Extracting #2: cost 5 inf + 1
11.934 * * [simplify]: Extracting #3: cost 7 inf + 1
11.935 * * [simplify]: Extracting #4: cost 10 inf + 1
11.935 * * [simplify]: Extracting #5: cost 14 inf + 1
11.935 * * [simplify]: Extracting #6: cost 10 inf + 85
11.935 * * [simplify]: Extracting #7: cost 4 inf + 735
11.935 * * [simplify]: Extracting #8: cost 0 inf + 1625
11.936 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
11.936 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.937 * * * * [progress]: [ 60 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ (cbrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
11.937 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d))))
11.937 * * [simplify]: iters left: 6 (9 enodes)
11.942 * * [simplify]: iters left: 5 (30 enodes)
11.951 * * [simplify]: iters left: 4 (32 enodes)
11.960 * * [simplify]: Extracting #0: cost 1 inf + 0
11.960 * * [simplify]: Extracting #1: cost 4 inf + 0
11.960 * * [simplify]: Extracting #2: cost 5 inf + 1
11.960 * * [simplify]: Extracting #3: cost 8 inf + 1
11.960 * * [simplify]: Extracting #4: cost 12 inf + 1
11.960 * * [simplify]: Extracting #5: cost 7 inf + 126
11.960 * * [simplify]: Extracting #6: cost 4 inf + 451
11.961 * * [simplify]: Extracting #7: cost 0 inf + 1141
11.961 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
11.961 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
11.961 * * * * [progress]: [ 61 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.962 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))
11.962 * * [simplify]: iters left: 6 (10 enodes)
11.967 * * [simplify]: iters left: 5 (33 enodes)
11.972 * * [simplify]: iters left: 4 (35 enodes)
11.977 * * [simplify]: Extracting #0: cost 1 inf + 0
11.977 * * [simplify]: Extracting #1: cost 4 inf + 0
11.977 * * [simplify]: Extracting #2: cost 5 inf + 1
11.977 * * [simplify]: Extracting #3: cost 7 inf + 1
11.977 * * [simplify]: Extracting #4: cost 10 inf + 1
11.977 * * [simplify]: Extracting #5: cost 14 inf + 1
11.977 * * [simplify]: Extracting #6: cost 10 inf + 85
11.977 * * [simplify]: Extracting #7: cost 4 inf + 735
11.978 * * [simplify]: Extracting #8: cost 0 inf + 1625
11.978 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
11.978 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
11.978 * * * * [progress]: [ 62 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
11.978 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d))))
11.978 * * [simplify]: iters left: 6 (9 enodes)
11.981 * * [simplify]: iters left: 5 (30 enodes)
11.985 * * [simplify]: iters left: 4 (32 enodes)
11.990 * * [simplify]: Extracting #0: cost 1 inf + 0
11.990 * * [simplify]: Extracting #1: cost 4 inf + 0
11.990 * * [simplify]: Extracting #2: cost 5 inf + 1
11.990 * * [simplify]: Extracting #3: cost 8 inf + 1
11.990 * * [simplify]: Extracting #4: cost 12 inf + 1
11.990 * * [simplify]: Extracting #5: cost 7 inf + 126
11.990 * * [simplify]: Extracting #6: cost 4 inf + 451
11.990 * * [simplify]: Extracting #7: cost 0 inf + 1141
11.991 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
11.991 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
11.991 * * * * [progress]: [ 63 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt 1) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
11.991 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ (* c c) (* d d)))))
11.991 * * [simplify]: iters left: 6 (10 enodes)
11.994 * * [simplify]: iters left: 5 (33 enodes)
11.998 * * [simplify]: iters left: 4 (35 enodes)
12.005 * * [simplify]: Extracting #0: cost 1 inf + 0
12.005 * * [simplify]: Extracting #1: cost 4 inf + 0
12.005 * * [simplify]: Extracting #2: cost 5 inf + 1
12.006 * * [simplify]: Extracting #3: cost 7 inf + 1
12.006 * * [simplify]: Extracting #4: cost 10 inf + 1
12.006 * * [simplify]: Extracting #5: cost 14 inf + 1
12.006 * * [simplify]: Extracting #6: cost 10 inf + 85
12.006 * * [simplify]: Extracting #7: cost 4 inf + 735
12.006 * * [simplify]: Extracting #8: cost 0 inf + 1785
12.007 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
12.007 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.007 * * * * [progress]: [ 64 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (sqrt 1) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.008 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ (* c c) (* d d)))))
12.008 * * [simplify]: iters left: 6 (10 enodes)
12.013 * * [simplify]: iters left: 5 (33 enodes)
12.022 * * [simplify]: iters left: 4 (35 enodes)
12.032 * * [simplify]: Extracting #0: cost 1 inf + 0
12.032 * * [simplify]: Extracting #1: cost 4 inf + 0
12.032 * * [simplify]: Extracting #2: cost 5 inf + 1
12.032 * * [simplify]: Extracting #3: cost 7 inf + 1
12.032 * * [simplify]: Extracting #4: cost 10 inf + 1
12.032 * * [simplify]: Extracting #5: cost 14 inf + 1
12.032 * * [simplify]: Extracting #6: cost 10 inf + 85
12.032 * * [simplify]: Extracting #7: cost 4 inf + 815
12.033 * * [simplify]: Extracting #8: cost 0 inf + 1865
12.033 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))
12.033 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.034 * * * * [progress]: [ 65 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.034 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))
12.034 * * [simplify]: iters left: 6 (10 enodes)
12.040 * * [simplify]: iters left: 5 (33 enodes)
12.049 * * [simplify]: iters left: 4 (35 enodes)
12.059 * * [simplify]: Extracting #0: cost 1 inf + 0
12.059 * * [simplify]: Extracting #1: cost 4 inf + 0
12.059 * * [simplify]: Extracting #2: cost 5 inf + 1
12.059 * * [simplify]: Extracting #3: cost 7 inf + 1
12.059 * * [simplify]: Extracting #4: cost 10 inf + 1
12.059 * * [simplify]: Extracting #5: cost 14 inf + 1
12.059 * * [simplify]: Extracting #6: cost 10 inf + 85
12.062 * * [simplify]: Extracting #7: cost 4 inf + 735
12.062 * * [simplify]: Extracting #8: cost 0 inf + 1625
12.063 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.063 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.063 * * * * [progress]: [ 66 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.064 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))
12.064 * * [simplify]: iters left: 6 (9 enodes)
12.069 * * [simplify]: iters left: 5 (30 enodes)
12.078 * * [simplify]: iters left: 4 (32 enodes)
12.087 * * [simplify]: Extracting #0: cost 1 inf + 0
12.087 * * [simplify]: Extracting #1: cost 4 inf + 0
12.087 * * [simplify]: Extracting #2: cost 5 inf + 1
12.087 * * [simplify]: Extracting #3: cost 8 inf + 1
12.087 * * [simplify]: Extracting #4: cost 12 inf + 1
12.087 * * [simplify]: Extracting #5: cost 7 inf + 126
12.088 * * [simplify]: Extracting #6: cost 4 inf + 451
12.088 * * [simplify]: Extracting #7: cost 0 inf + 1141
12.088 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.088 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.089 * * * * [progress]: [ 67 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.089 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))
12.089 * * [simplify]: iters left: 6 (10 enodes)
12.094 * * [simplify]: iters left: 5 (33 enodes)
12.103 * * [simplify]: iters left: 4 (35 enodes)
12.113 * * [simplify]: Extracting #0: cost 1 inf + 0
12.113 * * [simplify]: Extracting #1: cost 4 inf + 0
12.113 * * [simplify]: Extracting #2: cost 5 inf + 1
12.113 * * [simplify]: Extracting #3: cost 7 inf + 1
12.113 * * [simplify]: Extracting #4: cost 10 inf + 1
12.113 * * [simplify]: Extracting #5: cost 14 inf + 1
12.113 * * [simplify]: Extracting #6: cost 10 inf + 85
12.114 * * [simplify]: Extracting #7: cost 4 inf + 735
12.114 * * [simplify]: Extracting #8: cost 0 inf + 1625
12.115 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.115 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.115 * * * * [progress]: [ 68 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.115 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))
12.115 * * [simplify]: iters left: 6 (9 enodes)
12.120 * * [simplify]: iters left: 5 (30 enodes)
12.128 * * [simplify]: iters left: 4 (32 enodes)
12.138 * * [simplify]: Extracting #0: cost 1 inf + 0
12.138 * * [simplify]: Extracting #1: cost 4 inf + 0
12.138 * * [simplify]: Extracting #2: cost 5 inf + 1
12.138 * * [simplify]: Extracting #3: cost 8 inf + 1
12.138 * * [simplify]: Extracting #4: cost 12 inf + 1
12.138 * * [simplify]: Extracting #5: cost 7 inf + 126
12.138 * * [simplify]: Extracting #6: cost 4 inf + 451
12.139 * * [simplify]: Extracting #7: cost 0 inf + 1141
12.139 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.139 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.139 * * * * [progress]: [ 69 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.140 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
12.140 * * [simplify]: iters left: 6 (9 enodes)
12.144 * * [simplify]: iters left: 5 (30 enodes)
12.153 * * [simplify]: iters left: 4 (32 enodes)
12.162 * * [simplify]: Extracting #0: cost 1 inf + 0
12.162 * * [simplify]: Extracting #1: cost 4 inf + 0
12.162 * * [simplify]: Extracting #2: cost 5 inf + 1
12.162 * * [simplify]: Extracting #3: cost 7 inf + 1
12.162 * * [simplify]: Extracting #4: cost 10 inf + 1
12.162 * * [simplify]: Extracting #5: cost 14 inf + 1
12.163 * * [simplify]: Extracting #6: cost 12 inf + 3
12.163 * * [simplify]: Extracting #7: cost 8 inf + 248
12.163 * * [simplify]: Extracting #8: cost 4 inf + 815
12.164 * * [simplify]: Extracting #9: cost 0 inf + 1785
12.164 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
12.164 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.164 * * * * [progress]: [ 70 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.165 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))
12.165 * * [simplify]: iters left: 6 (9 enodes)
12.169 * * [simplify]: iters left: 5 (30 enodes)
12.178 * * [simplify]: iters left: 4 (32 enodes)
12.187 * * [simplify]: Extracting #0: cost 1 inf + 0
12.187 * * [simplify]: Extracting #1: cost 4 inf + 0
12.187 * * [simplify]: Extracting #2: cost 5 inf + 1
12.187 * * [simplify]: Extracting #3: cost 7 inf + 1
12.187 * * [simplify]: Extracting #4: cost 10 inf + 1
12.187 * * [simplify]: Extracting #5: cost 14 inf + 1
12.187 * * [simplify]: Extracting #6: cost 12 inf + 3
12.187 * * [simplify]: Extracting #7: cost 8 inf + 248
12.188 * * [simplify]: Extracting #8: cost 4 inf + 855
12.188 * * [simplify]: Extracting #9: cost 0 inf + 1865
12.189 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))
12.189 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.189 * * * * [progress]: [ 71 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.190 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.190 * * [simplify]: iters left: 6 (9 enodes)
12.194 * * [simplify]: iters left: 5 (30 enodes)
12.200 * * [simplify]: iters left: 4 (32 enodes)
12.204 * * [simplify]: Extracting #0: cost 1 inf + 0
12.204 * * [simplify]: Extracting #1: cost 4 inf + 0
12.204 * * [simplify]: Extracting #2: cost 5 inf + 1
12.204 * * [simplify]: Extracting #3: cost 7 inf + 1
12.205 * * [simplify]: Extracting #4: cost 10 inf + 1
12.205 * * [simplify]: Extracting #5: cost 14 inf + 1
12.205 * * [simplify]: Extracting #6: cost 12 inf + 3
12.205 * * [simplify]: Extracting #7: cost 8 inf + 248
12.205 * * [simplify]: Extracting #8: cost 4 inf + 775
12.205 * * [simplify]: Extracting #9: cost 0 inf + 1625
12.205 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.205 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.205 * * * * [progress]: [ 72 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.206 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
12.206 * * [simplify]: iters left: 6 (8 enodes)
12.210 * * [simplify]: iters left: 5 (27 enodes)
12.214 * * [simplify]: iters left: 4 (29 enodes)
12.218 * * [simplify]: Extracting #0: cost 1 inf + 0
12.218 * * [simplify]: Extracting #1: cost 4 inf + 0
12.218 * * [simplify]: Extracting #2: cost 5 inf + 1
12.218 * * [simplify]: Extracting #3: cost 8 inf + 1
12.218 * * [simplify]: Extracting #4: cost 12 inf + 1
12.218 * * [simplify]: Extracting #5: cost 10 inf + 3
12.218 * * [simplify]: Extracting #6: cost 5 inf + 289
12.218 * * [simplify]: Extracting #7: cost 1 inf + 938
12.219 * * [simplify]: Extracting #8: cost 0 inf + 1141
12.219 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.219 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.219 * * * * [progress]: [ 73 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.219 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.219 * * [simplify]: iters left: 6 (9 enodes)
12.221 * * [simplify]: iters left: 5 (30 enodes)
12.226 * * [simplify]: iters left: 4 (32 enodes)
12.230 * * [simplify]: Extracting #0: cost 1 inf + 0
12.231 * * [simplify]: Extracting #1: cost 4 inf + 0
12.231 * * [simplify]: Extracting #2: cost 5 inf + 1
12.231 * * [simplify]: Extracting #3: cost 7 inf + 1
12.231 * * [simplify]: Extracting #4: cost 10 inf + 1
12.231 * * [simplify]: Extracting #5: cost 14 inf + 1
12.231 * * [simplify]: Extracting #6: cost 12 inf + 3
12.231 * * [simplify]: Extracting #7: cost 8 inf + 248
12.231 * * [simplify]: Extracting #8: cost 4 inf + 775
12.231 * * [simplify]: Extracting #9: cost 0 inf + 1625
12.232 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
12.232 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.232 * * * * [progress]: [ 74 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.232 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
12.232 * * [simplify]: iters left: 6 (8 enodes)
12.234 * * [simplify]: iters left: 5 (27 enodes)
12.238 * * [simplify]: iters left: 4 (29 enodes)
12.242 * * [simplify]: Extracting #0: cost 1 inf + 0
12.243 * * [simplify]: Extracting #1: cost 4 inf + 0
12.243 * * [simplify]: Extracting #2: cost 5 inf + 1
12.243 * * [simplify]: Extracting #3: cost 8 inf + 1
12.243 * * [simplify]: Extracting #4: cost 12 inf + 1
12.243 * * [simplify]: Extracting #5: cost 10 inf + 3
12.243 * * [simplify]: Extracting #6: cost 5 inf + 289
12.243 * * [simplify]: Extracting #7: cost 1 inf + 938
12.243 * * [simplify]: Extracting #8: cost 0 inf + 1141
12.243 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.243 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.243 * * * * [progress]: [ 75 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.244 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
12.244 * * [simplify]: iters left: 6 (8 enodes)
12.246 * * [simplify]: iters left: 5 (27 enodes)
12.250 * * [simplify]: iters left: 4 (29 enodes)
12.254 * * [simplify]: Extracting #0: cost 1 inf + 0
12.254 * * [simplify]: Extracting #1: cost 4 inf + 0
12.254 * * [simplify]: Extracting #2: cost 5 inf + 1
12.254 * * [simplify]: Extracting #3: cost 8 inf + 1
12.254 * * [simplify]: Extracting #4: cost 12 inf + 1
12.254 * * [simplify]: Extracting #5: cost 10 inf + 3
12.254 * * [simplify]: Extracting #6: cost 5 inf + 289
12.254 * * [simplify]: Extracting #7: cost 1 inf + 938
12.254 * * [simplify]: Extracting #8: cost 0 inf + 1141
12.254 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.254 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.255 * * * * [progress]: [ 76 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
12.255 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
12.255 * * [simplify]: iters left: 6 (8 enodes)
12.257 * * [simplify]: iters left: 5 (27 enodes)
12.265 * * [simplify]: iters left: 4 (29 enodes)
12.273 * * [simplify]: Extracting #0: cost 1 inf + 0
12.273 * * [simplify]: Extracting #1: cost 4 inf + 0
12.274 * * [simplify]: Extracting #2: cost 5 inf + 1
12.274 * * [simplify]: Extracting #3: cost 8 inf + 1
12.274 * * [simplify]: Extracting #4: cost 12 inf + 1
12.274 * * [simplify]: Extracting #5: cost 10 inf + 3
12.274 * * [simplify]: Extracting #6: cost 5 inf + 289
12.274 * * [simplify]: Extracting #7: cost 1 inf + 938
12.275 * * [simplify]: Extracting #8: cost 0 inf + 1141
12.275 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
12.275 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
12.275 * * * * [progress]: [ 77 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (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)))))>
12.276 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
12.276 * * [simplify]: iters left: 6 (10 enodes)
12.281 * * [simplify]: iters left: 5 (52 enodes)
12.294 * * [simplify]: iters left: 4 (119 enodes)
12.322 * * [simplify]: iters left: 3 (234 enodes)
12.414 * * [simplify]: iters left: 2 (366 enodes)
12.567 * * [simplify]: Extracting #0: cost 1 inf + 0
12.567 * * [simplify]: Extracting #1: cost 3 inf + 0
12.567 * * [simplify]: Extracting #2: cost 22 inf + 0
12.567 * * [simplify]: Extracting #3: cost 148 inf + 0
12.568 * * [simplify]: Extracting #4: cost 202 inf + 2230
12.572 * * [simplify]: Extracting #5: cost 83 inf + 22274
12.578 * * [simplify]: Extracting #6: cost 1 inf + 35108
12.587 * * [simplify]: Extracting #7: cost 0 inf + 35040
12.602 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))
12.602 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (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)))))
12.602 * * * * [progress]: [ 78 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
12.603 * [simplify]: Simplifying (sqrt (- (* c c) (* d d)))
12.603 * * [simplify]: iters left: 5 (6 enodes)
12.605 * * [simplify]: iters left: 4 (23 enodes)
12.612 * * [simplify]: iters left: 3 (36 enodes)
12.626 * * [simplify]: iters left: 2 (53 enodes)
12.642 * * [simplify]: iters left: 1 (94 enodes)
12.676 * * [simplify]: Extracting #0: cost 1 inf + 0
12.676 * * [simplify]: Extracting #1: cost 3 inf + 0
12.676 * * [simplify]: Extracting #2: cost 32 inf + 0
12.677 * * [simplify]: Extracting #3: cost 48 inf + 0
12.677 * * [simplify]: Extracting #4: cost 42 inf + 247
12.678 * * [simplify]: Extracting #5: cost 18 inf + 3412
12.681 * * [simplify]: Extracting #6: cost 0 inf + 5728
12.683 * * [simplify]: Extracting #7: cost 0 inf + 5448
12.685 * [simplify]: Simplified to (sqrt (- (* c c) (* d d)))
12.685 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
12.686 * * * * [progress]: [ 79 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.686 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
12.686 * * [simplify]: iters left: 6 (9 enodes)
12.690 * * [simplify]: iters left: 5 (30 enodes)
12.698 * * [simplify]: Extracting #0: cost 1 inf + 0
12.698 * * [simplify]: Extracting #1: cost 3 inf + 0
12.698 * * [simplify]: Extracting #2: cost 5 inf + 0
12.698 * * [simplify]: Extracting #3: cost 8 inf + 0
12.699 * * [simplify]: Extracting #4: cost 14 inf + 0
12.699 * * [simplify]: Extracting #5: cost 9 inf + 46
12.699 * * [simplify]: Extracting #6: cost 4 inf + 500
12.699 * * [simplify]: Extracting #7: cost 1 inf + 1072
12.700 * * [simplify]: Extracting #8: cost 0 inf + 1316
12.700 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
12.700 * [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))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.701 * * * * [progress]: [ 80 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.701 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
12.701 * * [simplify]: iters left: 5 (8 enodes)
12.704 * * [simplify]: iters left: 4 (27 enodes)
12.712 * * [simplify]: Extracting #0: cost 1 inf + 0
12.712 * * [simplify]: Extracting #1: cost 3 inf + 0
12.712 * * [simplify]: Extracting #2: cost 6 inf + 0
12.712 * * [simplify]: Extracting #3: cost 12 inf + 0
12.712 * * [simplify]: Extracting #4: cost 8 inf + 4
12.712 * * [simplify]: Extracting #5: cost 1 inf + 584
12.712 * * [simplify]: Extracting #6: cost 0 inf + 748
12.713 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
12.713 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
12.713 * * * * [progress]: [ 81 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
12.713 * * * * [progress]: [ 82 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
12.713 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
12.713 * * [simplify]: iters left: 5 (6 enodes)
12.714 * * [simplify]: iters left: 4 (19 enodes)
12.716 * * [simplify]: Extracting #0: cost 1 inf + 0
12.717 * * [simplify]: Extracting #1: cost 3 inf + 0
12.717 * * [simplify]: Extracting #2: cost 6 inf + 0
12.717 * * [simplify]: Extracting #3: cost 10 inf + 0
12.717 * * [simplify]: Extracting #4: cost 6 inf + 84
12.717 * * [simplify]: Extracting #5: cost 0 inf + 734
12.717 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
12.717 * [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)))))
12.717 * * * * [progress]: [ 83 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))>
12.717 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
12.717 * * [simplify]: iters left: 6 (17 enodes)
12.722 * * [simplify]: iters left: 5 (79 enodes)
12.740 * * [simplify]: iters left: 4 (184 enodes)
12.796 * * [simplify]: iters left: 3 (464 enodes)
13.109 * * [simplify]: Extracting #0: cost 1 inf + 0
13.109 * * [simplify]: Extracting #1: cost 13 inf + 0
13.110 * * [simplify]: Extracting #2: cost 181 inf + 1
13.111 * * [simplify]: Extracting #3: cost 358 inf + 334
13.116 * * [simplify]: Extracting #4: cost 225 inf + 30892
13.131 * * [simplify]: Extracting #5: cost 34 inf + 95878
13.163 * * [simplify]: Extracting #6: cost 4 inf + 106365
13.182 * * [simplify]: Extracting #7: cost 0 inf + 107628
13.211 * [simplify]: Simplified to (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* (* a c) (* a c)) (* a c))) (sqrt (+ (* d d) (* c c))))
13.211 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* (* a c) (* a c)) (* a c))) (sqrt (+ (* d d) (* c c)))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
13.211 * * * * [progress]: [ 84 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (- (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))>
13.211 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))
13.212 * * [simplify]: iters left: 6 (16 enodes)
13.221 * * [simplify]: iters left: 5 (73 enodes)
13.247 * * [simplify]: iters left: 4 (150 enodes)
13.311 * * [simplify]: iters left: 3 (351 enodes)
13.508 * * [simplify]: Extracting #0: cost 1 inf + 0
13.508 * * [simplify]: Extracting #1: cost 40 inf + 0
13.509 * * [simplify]: Extracting #2: cost 171 inf + 1
13.511 * * [simplify]: Extracting #3: cost 262 inf + 1400
13.518 * * [simplify]: Extracting #4: cost 143 inf + 18619
13.541 * * [simplify]: Extracting #5: cost 28 inf + 51437
13.566 * * [simplify]: Extracting #6: cost 0 inf + 60910
13.582 * [simplify]: Simplified to (/ (* (- (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))
13.582 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (* (- (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (- (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
13.582 * * * * [progress]: [ 85 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (posit16->real (real->posit16 (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
13.582 * * * * [progress]: [ 86 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))>
13.582 * * * * [progress]: [ 87 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (log (* (exp (* a c)) (exp (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.582 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
13.582 * * [simplify]: iters left: 5 (9 enodes)
13.584 * * [simplify]: iters left: 4 (36 enodes)
13.594 * * [simplify]: iters left: 3 (55 enodes)
13.610 * * [simplify]: iters left: 2 (91 enodes)
13.641 * * [simplify]: iters left: 1 (191 enodes)
13.734 * * [simplify]: Extracting #0: cost 1 inf + 0
13.734 * * [simplify]: Extracting #1: cost 38 inf + 0
13.735 * * [simplify]: Extracting #2: cost 150 inf + 0
13.735 * * [simplify]: Extracting #3: cost 173 inf + 772
13.736 * * [simplify]: Extracting #4: cost 148 inf + 4628
13.739 * * [simplify]: Extracting #5: cost 93 inf + 18511
13.745 * * [simplify]: Extracting #6: cost 27 inf + 61555
13.753 * * [simplify]: Extracting #7: cost 0 inf + 82217
13.761 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
13.761 * [simplify]: Simplified (2 1 1 1) to (λ (a b c d) (/ (* (log (exp (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
13.762 * * * * [progress]: [ 88 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (pow (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 89 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (exp (log (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 90 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (log (exp (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 91 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 92 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (cbrt (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 93 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 94 / 110 ] 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))))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 95 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* 1 (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 96 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 97 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (posit16->real (real->posit16 (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 98 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.762 * * * * [progress]: [ 99 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) d))>
13.762 * [simplify]: Simplifying d
13.762 * * [simplify]: iters left: 0 (1 enodes)
13.762 * * [simplify]: Extracting #0: cost 1 inf + 0
13.763 * * [simplify]: Extracting #1: cost 0 inf + 1
13.763 * [simplify]: Simplified to d
13.763 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) d))
13.763 * * * * [progress]: [ 100 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) c))>
13.763 * [simplify]: Simplifying c
13.763 * * [simplify]: iters left: 0 (1 enodes)
13.763 * * [simplify]: Extracting #0: cost 1 inf + 0
13.763 * * [simplify]: Extracting #1: cost 0 inf + 1
13.763 * [simplify]: Simplified to c
13.763 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) c))
13.763 * * * * [progress]: [ 101 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* -1 c)))>
13.763 * [simplify]: Simplifying (* -1 c)
13.763 * * [simplify]: iters left: 2 (3 enodes)
13.764 * * [simplify]: iters left: 1 (11 enodes)
13.766 * * [simplify]: Extracting #0: cost 1 inf + 0
13.766 * * [simplify]: Extracting #1: cost 4 inf + 0
13.766 * * [simplify]: Extracting #2: cost 0 inf + 84
13.766 * [simplify]: Simplified to (- c)
13.766 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (- c)))
13.766 * * * * [progress]: [ 102 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 d)) (sqrt (+ (* c c) (* d d)))))>
13.766 * [simplify]: Simplifying d
13.766 * * [simplify]: iters left: 0 (1 enodes)
13.767 * * [simplify]: Extracting #0: cost 1 inf + 0
13.767 * * [simplify]: Extracting #1: cost 0 inf + 1
13.767 * [simplify]: Simplified to d
13.767 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 d)) (sqrt (+ (* c c) (* d d)))))
13.767 * * * * [progress]: [ 103 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 c)) (sqrt (+ (* c c) (* d d)))))>
13.767 * [simplify]: Simplifying c
13.767 * * [simplify]: iters left: 0 (1 enodes)
13.767 * * [simplify]: Extracting #0: cost 1 inf + 0
13.767 * * [simplify]: Extracting #1: cost 0 inf + 1
13.767 * [simplify]: Simplified to c
13.767 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 c)) (sqrt (+ (* c c) (* d d)))))
13.767 * * * * [progress]: [ 104 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* -1 c))) (sqrt (+ (* c c) (* d d)))))>
13.767 * [simplify]: Simplifying (* -1 c)
13.767 * * [simplify]: iters left: 2 (3 enodes)
13.768 * * [simplify]: iters left: 1 (11 enodes)
13.770 * * [simplify]: Extracting #0: cost 1 inf + 0
13.770 * * [simplify]: Extracting #1: cost 4 inf + 0
13.770 * * [simplify]: Extracting #2: cost 0 inf + 84
13.770 * [simplify]: Simplified to (- c)
13.770 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (- c))) (sqrt (+ (* c c) (* d d)))))
13.770 * * * * [progress]: [ 105 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
13.770 * [simplify]: Simplifying b
13.770 * * [simplify]: iters left: 0 (1 enodes)
13.770 * * [simplify]: Extracting #0: cost 1 inf + 0
13.770 * * [simplify]: Extracting #1: cost 0 inf + 1
13.770 * [simplify]: Simplified to b
13.770 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
13.771 * * * * [progress]: [ 106 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
13.771 * [simplify]: Simplifying a
13.771 * * [simplify]: iters left: 0 (1 enodes)
13.771 * * [simplify]: Extracting #0: cost 1 inf + 0
13.771 * * [simplify]: Extracting #1: cost 0 inf + 1
13.771 * [simplify]: Simplified to a
13.771 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
13.771 * * * * [progress]: [ 107 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 a) (sqrt (+ (* c c) (* d d)))))>
13.771 * [simplify]: Simplifying (* -1 a)
13.771 * * [simplify]: iters left: 2 (3 enodes)
13.772 * * [simplify]: iters left: 1 (11 enodes)
13.774 * * [simplify]: Extracting #0: cost 1 inf + 0
13.774 * * [simplify]: Extracting #1: cost 4 inf + 0
13.774 * * [simplify]: Extracting #2: cost 0 inf + 84
13.774 * [simplify]: Simplified to (- a)
13.774 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))
13.774 * * * * [progress]: [ 108 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 0 (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.774 * [simplify]: Simplifying 0
13.774 * * [simplify]: iters left: 0 (1 enodes)
13.775 * * [simplify]: Extracting #0: cost 1 inf + 0
13.775 * * [simplify]: Extracting #1: cost 0 inf + 1
13.775 * [simplify]: Simplified to 0
13.775 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 0 (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
13.775 * * * * [progress]: [ 109 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.775 * [simplify]: Simplifying (+ (* a c) (* b d))
13.775 * * [simplify]: iters left: 4 (7 enodes)
13.776 * * [simplify]: iters left: 3 (24 enodes)
13.779 * * [simplify]: Extracting #0: cost 1 inf + 0
13.779 * * [simplify]: Extracting #1: cost 4 inf + 0
13.779 * * [simplify]: Extracting #2: cost 10 inf + 0
13.779 * * [simplify]: Extracting #3: cost 6 inf + 4
13.779 * * [simplify]: Extracting #4: cost 1 inf + 296
13.782 * * [simplify]: Extracting #5: cost 0 inf + 420
13.782 * [simplify]: Simplified to (+ (* b d) (* a c))
13.782 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
13.782 * * * * [progress]: [ 110 / 110 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
13.782 * [simplify]: Simplifying (+ (* a c) (* b d))
13.782 * * [simplify]: iters left: 4 (7 enodes)
13.784 * * [simplify]: iters left: 3 (24 enodes)
13.788 * * [simplify]: Extracting #0: cost 1 inf + 0
13.789 * * [simplify]: Extracting #1: cost 4 inf + 0
13.789 * * [simplify]: Extracting #2: cost 10 inf + 0
13.789 * * [simplify]: Extracting #3: cost 6 inf + 4
13.789 * * [simplify]: Extracting #4: cost 1 inf + 296
13.789 * * [simplify]: Extracting #5: cost 0 inf + 420
13.789 * [simplify]: Simplified to (+ (* b d) (* a c))
13.789 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
13.790 * * * [progress]: adding candidates to table
15.091 * * [progress]: iteration 4 / 4
15.091 * * * [progress]: picking best candidate
15.134 * * * * [pick]: Picked  #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
15.134 * * * [progress]: localizing error
15.166 * * * [progress]: generating rewritten candidates
15.166 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
15.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
15.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
15.225 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
15.241 * * * [progress]: generating series expansions
15.241 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
15.242 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
15.242 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
15.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
15.242 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
15.242 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.242 * [taylor]: Taking taylor expansion of c in d
15.242 * [backup-simplify]: Simplify c into c
15.242 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.242 * [taylor]: Taking taylor expansion of d in d
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [backup-simplify]: Simplify 1 into 1
15.242 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.242 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
15.242 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
15.242 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.243 * [backup-simplify]: Simplify (+ 0 0) into 0
15.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
15.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
15.243 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.243 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.243 * [taylor]: Taking taylor expansion of c in c
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [backup-simplify]: Simplify 1 into 1
15.243 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.243 * [taylor]: Taking taylor expansion of d in c
15.243 * [backup-simplify]: Simplify d into d
15.243 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.243 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.244 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
15.244 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.244 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
15.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
15.244 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.244 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.244 * [taylor]: Taking taylor expansion of c in c
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 1 into 1
15.244 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.244 * [taylor]: Taking taylor expansion of d in c
15.244 * [backup-simplify]: Simplify d into d
15.244 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.245 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.245 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
15.245 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.245 * [backup-simplify]: Simplify (+ 0 0) into 0
15.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
15.245 * [taylor]: Taking taylor expansion of d in d
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [backup-simplify]: Simplify 1 into 1
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [taylor]: Taking taylor expansion of 0 in d
15.245 * [backup-simplify]: Simplify 0 into 0
15.245 * [backup-simplify]: Simplify 0 into 0
15.246 * [backup-simplify]: Simplify 1 into 1
15.246 * [backup-simplify]: Simplify (* 1 1) into 1
15.247 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.247 * [backup-simplify]: Simplify (+ 1 0) into 1
15.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
15.248 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
15.248 * [taylor]: Taking taylor expansion of 1/2 in d
15.248 * [backup-simplify]: Simplify 1/2 into 1/2
15.248 * [taylor]: Taking taylor expansion of d in d
15.248 * [backup-simplify]: Simplify 0 into 0
15.248 * [backup-simplify]: Simplify 1 into 1
15.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify 0 into 0
15.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.251 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.251 * [backup-simplify]: Simplify (+ 0 0) into 0
15.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
15.251 * [taylor]: Taking taylor expansion of 0 in d
15.251 * [backup-simplify]: Simplify 0 into 0
15.251 * [backup-simplify]: Simplify 0 into 0
15.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.252 * [backup-simplify]: Simplify 0 into 0
15.252 * [backup-simplify]: Simplify 0 into 0
15.252 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
15.253 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.253 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
15.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.253 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.253 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.253 * [taylor]: Taking taylor expansion of c in d
15.253 * [backup-simplify]: Simplify c into c
15.253 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.253 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.253 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.253 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.253 * [taylor]: Taking taylor expansion of d in d
15.253 * [backup-simplify]: Simplify 0 into 0
15.253 * [backup-simplify]: Simplify 1 into 1
15.254 * [backup-simplify]: Simplify (* 1 1) into 1
15.254 * [backup-simplify]: Simplify (/ 1 1) into 1
15.254 * [backup-simplify]: Simplify (+ 0 1) into 1
15.255 * [backup-simplify]: Simplify (sqrt 1) into 1
15.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.256 * [backup-simplify]: Simplify (+ 0 0) into 0
15.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.257 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.257 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.257 * [taylor]: Taking taylor expansion of c in c
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 1 into 1
15.258 * [backup-simplify]: Simplify (* 1 1) into 1
15.258 * [backup-simplify]: Simplify (/ 1 1) into 1
15.258 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.258 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.258 * [taylor]: Taking taylor expansion of d in c
15.258 * [backup-simplify]: Simplify d into d
15.258 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.258 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.259 * [backup-simplify]: Simplify (+ 1 0) into 1
15.259 * [backup-simplify]: Simplify (sqrt 1) into 1
15.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.261 * [backup-simplify]: Simplify (+ 0 0) into 0
15.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.262 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.262 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.262 * [taylor]: Taking taylor expansion of c in c
15.262 * [backup-simplify]: Simplify 0 into 0
15.262 * [backup-simplify]: Simplify 1 into 1
15.262 * [backup-simplify]: Simplify (* 1 1) into 1
15.262 * [backup-simplify]: Simplify (/ 1 1) into 1
15.263 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.263 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.263 * [taylor]: Taking taylor expansion of d in c
15.263 * [backup-simplify]: Simplify d into d
15.263 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.263 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.263 * [backup-simplify]: Simplify (+ 1 0) into 1
15.264 * [backup-simplify]: Simplify (sqrt 1) into 1
15.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.265 * [backup-simplify]: Simplify (+ 0 0) into 0
15.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.266 * [taylor]: Taking taylor expansion of 1 in d
15.266 * [backup-simplify]: Simplify 1 into 1
15.266 * [taylor]: Taking taylor expansion of 0 in d
15.266 * [backup-simplify]: Simplify 0 into 0
15.266 * [backup-simplify]: Simplify 1 into 1
15.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.269 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
15.270 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
15.270 * [taylor]: Taking taylor expansion of 1/2 in d
15.270 * [backup-simplify]: Simplify 1/2 into 1/2
15.270 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.270 * [taylor]: Taking taylor expansion of d in d
15.270 * [backup-simplify]: Simplify 0 into 0
15.270 * [backup-simplify]: Simplify 1 into 1
15.270 * [backup-simplify]: Simplify (* 1 1) into 1
15.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.272 * [backup-simplify]: Simplify 0 into 0
15.272 * [backup-simplify]: Simplify 0 into 0
15.272 * [backup-simplify]: Simplify 0 into 0
15.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.275 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.275 * [backup-simplify]: Simplify (+ 0 0) into 0
15.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
15.276 * [taylor]: Taking taylor expansion of 0 in d
15.276 * [backup-simplify]: Simplify 0 into 0
15.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
15.278 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.278 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
15.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.278 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.278 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.278 * [taylor]: Taking taylor expansion of c in d
15.278 * [backup-simplify]: Simplify c into c
15.278 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.279 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.279 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.279 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.279 * [taylor]: Taking taylor expansion of d in d
15.279 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify 1 into 1
15.279 * [backup-simplify]: Simplify (* 1 1) into 1
15.279 * [backup-simplify]: Simplify (/ 1 1) into 1
15.280 * [backup-simplify]: Simplify (+ 0 1) into 1
15.280 * [backup-simplify]: Simplify (sqrt 1) into 1
15.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.282 * [backup-simplify]: Simplify (+ 0 0) into 0
15.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.283 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.283 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.283 * [taylor]: Taking taylor expansion of c in c
15.283 * [backup-simplify]: Simplify 0 into 0
15.283 * [backup-simplify]: Simplify 1 into 1
15.283 * [backup-simplify]: Simplify (* 1 1) into 1
15.284 * [backup-simplify]: Simplify (/ 1 1) into 1
15.284 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.284 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.284 * [taylor]: Taking taylor expansion of d in c
15.284 * [backup-simplify]: Simplify d into d
15.284 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.284 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.284 * [backup-simplify]: Simplify (+ 1 0) into 1
15.285 * [backup-simplify]: Simplify (sqrt 1) into 1
15.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.286 * [backup-simplify]: Simplify (+ 0 0) into 0
15.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.287 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.287 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.287 * [taylor]: Taking taylor expansion of c in c
15.287 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify 1 into 1
15.288 * [backup-simplify]: Simplify (* 1 1) into 1
15.288 * [backup-simplify]: Simplify (/ 1 1) into 1
15.288 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.288 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.288 * [taylor]: Taking taylor expansion of d in c
15.288 * [backup-simplify]: Simplify d into d
15.288 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.288 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.289 * [backup-simplify]: Simplify (+ 1 0) into 1
15.289 * [backup-simplify]: Simplify (sqrt 1) into 1
15.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.291 * [backup-simplify]: Simplify (+ 0 0) into 0
15.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.292 * [taylor]: Taking taylor expansion of 1 in d
15.292 * [backup-simplify]: Simplify 1 into 1
15.292 * [taylor]: Taking taylor expansion of 0 in d
15.292 * [backup-simplify]: Simplify 0 into 0
15.292 * [backup-simplify]: Simplify 1 into 1
15.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.294 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.295 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
15.295 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
15.295 * [taylor]: Taking taylor expansion of 1/2 in d
15.295 * [backup-simplify]: Simplify 1/2 into 1/2
15.295 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.295 * [taylor]: Taking taylor expansion of d in d
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 1 into 1
15.296 * [backup-simplify]: Simplify (* 1 1) into 1
15.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.305 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.305 * [backup-simplify]: Simplify (+ 0 0) into 0
15.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
15.306 * [taylor]: Taking taylor expansion of 0 in d
15.306 * [backup-simplify]: Simplify 0 into 0
15.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.308 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
15.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
15.309 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2)))
15.309 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0
15.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d
15.309 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
15.309 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.309 * [taylor]: Taking taylor expansion of c in d
15.309 * [backup-simplify]: Simplify c into c
15.309 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.309 * [taylor]: Taking taylor expansion of d in d
15.309 * [backup-simplify]: Simplify 0 into 0
15.309 * [backup-simplify]: Simplify 1 into 1
15.309 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.309 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
15.309 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c
15.309 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.310 * [backup-simplify]: Simplify (+ 0 0) into 0
15.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
15.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
15.310 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.310 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.310 * [taylor]: Taking taylor expansion of c in c
15.310 * [backup-simplify]: Simplify 0 into 0
15.310 * [backup-simplify]: Simplify 1 into 1
15.310 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.310 * [taylor]: Taking taylor expansion of d in c
15.310 * [backup-simplify]: Simplify d into d
15.310 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.310 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.310 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
15.310 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.311 * [backup-simplify]: Simplify (+ 0 0) into 0
15.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
15.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c
15.311 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.311 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.311 * [taylor]: Taking taylor expansion of c in c
15.311 * [backup-simplify]: Simplify 0 into 0
15.311 * [backup-simplify]: Simplify 1 into 1
15.311 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.311 * [taylor]: Taking taylor expansion of d in c
15.311 * [backup-simplify]: Simplify d into d
15.311 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.311 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.311 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d
15.311 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
15.312 * [taylor]: Taking taylor expansion of d in d
15.312 * [backup-simplify]: Simplify 0 into 0
15.312 * [backup-simplify]: Simplify 1 into 1
15.312 * [backup-simplify]: Simplify 0 into 0
15.312 * [taylor]: Taking taylor expansion of 0 in d
15.312 * [backup-simplify]: Simplify 0 into 0
15.312 * [backup-simplify]: Simplify 0 into 0
15.312 * [backup-simplify]: Simplify 1 into 1
15.313 * [backup-simplify]: Simplify (* 1 1) into 1
15.313 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.314 * [backup-simplify]: Simplify (+ 1 0) into 1
15.314 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
15.314 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d
15.314 * [taylor]: Taking taylor expansion of 1/2 in d
15.314 * [backup-simplify]: Simplify 1/2 into 1/2
15.314 * [taylor]: Taking taylor expansion of d in d
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify 1 into 1
15.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.316 * [backup-simplify]: Simplify 0 into 0
15.316 * [backup-simplify]: Simplify 0 into 0
15.316 * [backup-simplify]: Simplify 0 into 0
15.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.317 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.318 * [backup-simplify]: Simplify (+ 0 0) into 0
15.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
15.318 * [taylor]: Taking taylor expansion of 0 in d
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [backup-simplify]: Simplify 0 into 0
15.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.320 * [backup-simplify]: Simplify 0 into 0
15.320 * [backup-simplify]: Simplify 0 into 0
15.320 * [backup-simplify]: Simplify (* 1 (* d 1)) into d
15.320 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.320 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
15.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.320 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.320 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.320 * [taylor]: Taking taylor expansion of c in d
15.320 * [backup-simplify]: Simplify c into c
15.320 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.321 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.321 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.321 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.321 * [taylor]: Taking taylor expansion of d in d
15.321 * [backup-simplify]: Simplify 0 into 0
15.321 * [backup-simplify]: Simplify 1 into 1
15.321 * [backup-simplify]: Simplify (* 1 1) into 1
15.321 * [backup-simplify]: Simplify (/ 1 1) into 1
15.322 * [backup-simplify]: Simplify (+ 0 1) into 1
15.322 * [backup-simplify]: Simplify (sqrt 1) into 1
15.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.324 * [backup-simplify]: Simplify (+ 0 0) into 0
15.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.325 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.325 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.325 * [taylor]: Taking taylor expansion of c in c
15.325 * [backup-simplify]: Simplify 0 into 0
15.325 * [backup-simplify]: Simplify 1 into 1
15.325 * [backup-simplify]: Simplify (* 1 1) into 1
15.326 * [backup-simplify]: Simplify (/ 1 1) into 1
15.326 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.326 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.326 * [taylor]: Taking taylor expansion of d in c
15.326 * [backup-simplify]: Simplify d into d
15.326 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.326 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.326 * [backup-simplify]: Simplify (+ 1 0) into 1
15.327 * [backup-simplify]: Simplify (sqrt 1) into 1
15.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.328 * [backup-simplify]: Simplify (+ 0 0) into 0
15.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.329 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.329 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.329 * [taylor]: Taking taylor expansion of c in c
15.329 * [backup-simplify]: Simplify 0 into 0
15.329 * [backup-simplify]: Simplify 1 into 1
15.330 * [backup-simplify]: Simplify (* 1 1) into 1
15.330 * [backup-simplify]: Simplify (/ 1 1) into 1
15.330 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.330 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.330 * [taylor]: Taking taylor expansion of d in c
15.330 * [backup-simplify]: Simplify d into d
15.330 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.330 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.331 * [backup-simplify]: Simplify (+ 1 0) into 1
15.331 * [backup-simplify]: Simplify (sqrt 1) into 1
15.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.333 * [backup-simplify]: Simplify (+ 0 0) into 0
15.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.334 * [taylor]: Taking taylor expansion of 1 in d
15.334 * [backup-simplify]: Simplify 1 into 1
15.334 * [taylor]: Taking taylor expansion of 0 in d
15.334 * [backup-simplify]: Simplify 0 into 0
15.334 * [backup-simplify]: Simplify 1 into 1
15.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
15.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
15.337 * [taylor]: Taking taylor expansion of 1/2 in d
15.338 * [backup-simplify]: Simplify 1/2 into 1/2
15.338 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.338 * [taylor]: Taking taylor expansion of d in d
15.338 * [backup-simplify]: Simplify 0 into 0
15.338 * [backup-simplify]: Simplify 1 into 1
15.338 * [backup-simplify]: Simplify (* 1 1) into 1
15.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify 0 into 0
15.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.341 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
15.342 * [taylor]: Taking taylor expansion of 0 in d
15.342 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
15.343 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.343 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0
15.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.344 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.344 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.344 * [taylor]: Taking taylor expansion of c in d
15.344 * [backup-simplify]: Simplify c into c
15.344 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.344 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.344 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.344 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.344 * [taylor]: Taking taylor expansion of d in d
15.344 * [backup-simplify]: Simplify 0 into 0
15.344 * [backup-simplify]: Simplify 1 into 1
15.344 * [backup-simplify]: Simplify (* 1 1) into 1
15.344 * [backup-simplify]: Simplify (/ 1 1) into 1
15.345 * [backup-simplify]: Simplify (+ 0 1) into 1
15.345 * [backup-simplify]: Simplify (sqrt 1) into 1
15.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.346 * [backup-simplify]: Simplify (+ 0 0) into 0
15.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.346 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.346 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.346 * [taylor]: Taking taylor expansion of c in c
15.346 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify 1 into 1
15.347 * [backup-simplify]: Simplify (* 1 1) into 1
15.347 * [backup-simplify]: Simplify (/ 1 1) into 1
15.347 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.347 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.347 * [taylor]: Taking taylor expansion of d in c
15.347 * [backup-simplify]: Simplify d into d
15.347 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.347 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.347 * [backup-simplify]: Simplify (+ 1 0) into 1
15.347 * [backup-simplify]: Simplify (sqrt 1) into 1
15.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.348 * [backup-simplify]: Simplify (+ 0 0) into 0
15.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.349 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.349 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.349 * [taylor]: Taking taylor expansion of c in c
15.349 * [backup-simplify]: Simplify 0 into 0
15.349 * [backup-simplify]: Simplify 1 into 1
15.349 * [backup-simplify]: Simplify (* 1 1) into 1
15.349 * [backup-simplify]: Simplify (/ 1 1) into 1
15.349 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.349 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.349 * [taylor]: Taking taylor expansion of d in c
15.349 * [backup-simplify]: Simplify d into d
15.350 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.350 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.350 * [backup-simplify]: Simplify (+ 1 0) into 1
15.350 * [backup-simplify]: Simplify (sqrt 1) into 1
15.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.351 * [backup-simplify]: Simplify (+ 0 0) into 0
15.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.352 * [taylor]: Taking taylor expansion of 1 in d
15.352 * [backup-simplify]: Simplify 1 into 1
15.352 * [taylor]: Taking taylor expansion of 0 in d
15.352 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify 1 into 1
15.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
15.354 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d
15.354 * [taylor]: Taking taylor expansion of 1/2 in d
15.354 * [backup-simplify]: Simplify 1/2 into 1/2
15.354 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.354 * [taylor]: Taking taylor expansion of d in d
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify 1 into 1
15.354 * [backup-simplify]: Simplify (* 1 1) into 1
15.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
15.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
15.355 * [backup-simplify]: Simplify 0 into 0
15.355 * [backup-simplify]: Simplify 0 into 0
15.355 * [backup-simplify]: Simplify 0 into 0
15.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.356 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.357 * [backup-simplify]: Simplify (+ 0 0) into 0
15.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
15.357 * [taylor]: Taking taylor expansion of 0 in d
15.357 * [backup-simplify]: Simplify 0 into 0
15.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.358 * [backup-simplify]: Simplify 0 into 0
15.358 * [backup-simplify]: Simplify 0 into 0
15.358 * [backup-simplify]: Simplify 0 into 0
15.358 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
15.358 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
15.358 * [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)))))
15.359 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0
15.359 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
15.359 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
15.359 * [taylor]: Taking taylor expansion of (* a c) in d
15.359 * [taylor]: Taking taylor expansion of a in d
15.359 * [backup-simplify]: Simplify a into a
15.359 * [taylor]: Taking taylor expansion of c in d
15.359 * [backup-simplify]: Simplify c into c
15.359 * [taylor]: Taking taylor expansion of (* b d) in d
15.359 * [taylor]: Taking taylor expansion of b in d
15.359 * [backup-simplify]: Simplify b into b
15.359 * [taylor]: Taking taylor expansion of d in d
15.359 * [backup-simplify]: Simplify 0 into 0
15.359 * [backup-simplify]: Simplify 1 into 1
15.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
15.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
15.359 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
15.359 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.359 * [taylor]: Taking taylor expansion of c in d
15.359 * [backup-simplify]: Simplify c into c
15.359 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.359 * [taylor]: Taking taylor expansion of d in d
15.359 * [backup-simplify]: Simplify 0 into 0
15.359 * [backup-simplify]: Simplify 1 into 1
15.359 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.359 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2)
15.359 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.359 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
15.359 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.359 * [backup-simplify]: Simplify (+ 0 0) into 0
15.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
15.360 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b
15.360 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
15.360 * [taylor]: Taking taylor expansion of (* a c) in b
15.360 * [taylor]: Taking taylor expansion of a in b
15.360 * [backup-simplify]: Simplify a into a
15.360 * [taylor]: Taking taylor expansion of c in b
15.360 * [backup-simplify]: Simplify c into c
15.360 * [taylor]: Taking taylor expansion of (* b d) in b
15.360 * [taylor]: Taking taylor expansion of b in b
15.360 * [backup-simplify]: Simplify 0 into 0
15.360 * [backup-simplify]: Simplify 1 into 1
15.360 * [taylor]: Taking taylor expansion of d in b
15.360 * [backup-simplify]: Simplify d into d
15.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b
15.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b
15.360 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b
15.360 * [taylor]: Taking taylor expansion of (pow c 2) in b
15.360 * [taylor]: Taking taylor expansion of c in b
15.360 * [backup-simplify]: Simplify c into c
15.360 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.360 * [taylor]: Taking taylor expansion of d in b
15.360 * [backup-simplify]: Simplify d into d
15.360 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.360 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.360 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
15.360 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
15.360 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
15.360 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.360 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.361 * [backup-simplify]: Simplify (+ 0 0) into 0
15.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
15.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
15.361 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
15.361 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
15.361 * [taylor]: Taking taylor expansion of (* a c) in c
15.361 * [taylor]: Taking taylor expansion of a in c
15.361 * [backup-simplify]: Simplify a into a
15.361 * [taylor]: Taking taylor expansion of c in c
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 1 into 1
15.361 * [taylor]: Taking taylor expansion of (* b d) in c
15.361 * [taylor]: Taking taylor expansion of b in c
15.361 * [backup-simplify]: Simplify b into b
15.361 * [taylor]: Taking taylor expansion of d in c
15.361 * [backup-simplify]: Simplify d into d
15.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
15.361 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
15.361 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.361 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.361 * [taylor]: Taking taylor expansion of c in c
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 1 into 1
15.361 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.361 * [taylor]: Taking taylor expansion of d in c
15.361 * [backup-simplify]: Simplify d into d
15.361 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.361 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.361 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.362 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
15.362 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.362 * [backup-simplify]: Simplify (+ 0 0) into 0
15.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
15.362 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
15.362 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
15.362 * [taylor]: Taking taylor expansion of (* a c) in a
15.362 * [taylor]: Taking taylor expansion of a in a
15.362 * [backup-simplify]: Simplify 0 into 0
15.362 * [backup-simplify]: Simplify 1 into 1
15.362 * [taylor]: Taking taylor expansion of c in a
15.362 * [backup-simplify]: Simplify c into c
15.362 * [taylor]: Taking taylor expansion of (* b d) in a
15.362 * [taylor]: Taking taylor expansion of b in a
15.362 * [backup-simplify]: Simplify b into b
15.362 * [taylor]: Taking taylor expansion of d in a
15.362 * [backup-simplify]: Simplify d into d
15.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
15.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
15.362 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
15.362 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.362 * [taylor]: Taking taylor expansion of c in a
15.362 * [backup-simplify]: Simplify c into c
15.362 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.362 * [taylor]: Taking taylor expansion of d in a
15.362 * [backup-simplify]: Simplify d into d
15.362 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.362 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.362 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
15.363 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
15.363 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
15.363 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.363 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.363 * [backup-simplify]: Simplify (+ 0 0) into 0
15.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
15.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
15.363 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a
15.363 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
15.363 * [taylor]: Taking taylor expansion of (* a c) in a
15.363 * [taylor]: Taking taylor expansion of a in a
15.363 * [backup-simplify]: Simplify 0 into 0
15.363 * [backup-simplify]: Simplify 1 into 1
15.363 * [taylor]: Taking taylor expansion of c in a
15.363 * [backup-simplify]: Simplify c into c
15.363 * [taylor]: Taking taylor expansion of (* b d) in a
15.363 * [taylor]: Taking taylor expansion of b in a
15.363 * [backup-simplify]: Simplify b into b
15.364 * [taylor]: Taking taylor expansion of d in a
15.364 * [backup-simplify]: Simplify d into d
15.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a
15.364 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a
15.364 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a
15.364 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.364 * [taylor]: Taking taylor expansion of c in a
15.364 * [backup-simplify]: Simplify c into c
15.364 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.364 * [taylor]: Taking taylor expansion of d in a
15.364 * [backup-simplify]: Simplify d into d
15.364 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.364 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.364 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
15.364 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2)))
15.364 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
15.364 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.364 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.364 * [backup-simplify]: Simplify (+ 0 0) into 0
15.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
15.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
15.365 * [backup-simplify]: Simplify (* 0 c) into 0
15.365 * [backup-simplify]: Simplify (* b d) into (* b d)
15.365 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
15.365 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
15.365 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c
15.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
15.365 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
15.365 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.365 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.365 * [taylor]: Taking taylor expansion of c in c
15.365 * [backup-simplify]: Simplify 0 into 0
15.365 * [backup-simplify]: Simplify 1 into 1
15.365 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.365 * [taylor]: Taking taylor expansion of d in c
15.365 * [backup-simplify]: Simplify d into d
15.365 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.365 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.365 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.365 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
15.365 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.366 * [backup-simplify]: Simplify (+ 0 0) into 0
15.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
15.366 * [taylor]: Taking taylor expansion of (* b d) in c
15.366 * [taylor]: Taking taylor expansion of b in c
15.366 * [backup-simplify]: Simplify b into b
15.366 * [taylor]: Taking taylor expansion of d in c
15.366 * [backup-simplify]: Simplify d into d
15.366 * [backup-simplify]: Simplify (* b d) into (* b d)
15.366 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b
15.366 * [taylor]: Taking taylor expansion of b in b
15.366 * [backup-simplify]: Simplify 0 into 0
15.366 * [backup-simplify]: Simplify 1 into 1
15.366 * [taylor]: Taking taylor expansion of 0 in d
15.366 * [backup-simplify]: Simplify 0 into 0
15.366 * [backup-simplify]: Simplify 0 into 0
15.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.366 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.366 * [backup-simplify]: Simplify (+ c 0) into c
15.367 * [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)))))
15.367 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c
15.367 * [taylor]: Taking taylor expansion of c in c
15.367 * [backup-simplify]: Simplify 0 into 0
15.367 * [backup-simplify]: Simplify 1 into 1
15.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c
15.367 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c
15.367 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c
15.367 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.367 * [taylor]: Taking taylor expansion of c in c
15.367 * [backup-simplify]: Simplify 0 into 0
15.367 * [backup-simplify]: Simplify 1 into 1
15.367 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.367 * [taylor]: Taking taylor expansion of d in c
15.367 * [backup-simplify]: Simplify d into d
15.367 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.367 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2)
15.367 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.367 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d)
15.367 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.367 * [backup-simplify]: Simplify (+ 0 0) into 0
15.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0
15.368 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0
15.368 * [taylor]: Taking taylor expansion of 0 in b
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [taylor]: Taking taylor expansion of 0 in d
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.368 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0
15.368 * [taylor]: Taking taylor expansion of 0 in b
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [taylor]: Taking taylor expansion of 0 in d
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [taylor]: Taking taylor expansion of 1 in d
15.368 * [backup-simplify]: Simplify 1 into 1
15.368 * [backup-simplify]: Simplify 1 into 1
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
15.369 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.369 * [backup-simplify]: Simplify (+ 0 0) into 0
15.369 * [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
15.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0
15.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.371 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.372 * [backup-simplify]: Simplify (+ 0 0) into 0
15.372 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
15.372 * [taylor]: Taking taylor expansion of 0 in c
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [taylor]: Taking taylor expansion of 0 in b
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [taylor]: Taking taylor expansion of 0 in d
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d)
15.373 * [taylor]: Taking taylor expansion of (/ 1 d) in b
15.373 * [taylor]: Taking taylor expansion of d in b
15.373 * [backup-simplify]: Simplify d into d
15.373 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.373 * [taylor]: Taking taylor expansion of (/ 1 d) in d
15.373 * [taylor]: Taking taylor expansion of d in d
15.373 * [backup-simplify]: Simplify 0 into 0
15.373 * [backup-simplify]: Simplify 1 into 1
15.373 * [backup-simplify]: Simplify (/ 1 1) into 1
15.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.374 * [backup-simplify]: Simplify 0 into 0
15.375 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.375 * [backup-simplify]: Simplify (* 1 1) into 1
15.376 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.376 * [backup-simplify]: Simplify (+ 1 0) into 1
15.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4)))
15.377 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3))
15.378 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2))))
15.378 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b
15.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b
15.378 * [taylor]: Taking taylor expansion of 1/2 in b
15.378 * [backup-simplify]: Simplify 1/2 into 1/2
15.378 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b
15.378 * [taylor]: Taking taylor expansion of b in b
15.378 * [backup-simplify]: Simplify 0 into 0
15.378 * [backup-simplify]: Simplify 1 into 1
15.378 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.378 * [taylor]: Taking taylor expansion of d in b
15.378 * [backup-simplify]: Simplify d into d
15.378 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.378 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.379 * [taylor]: Taking taylor expansion of 0 in d
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [taylor]: Taking taylor expansion of 0 in d
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [taylor]: Taking taylor expansion of 0 in d
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b
15.380 * [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))))))
15.380 * [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
15.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
15.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
15.380 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
15.380 * [taylor]: Taking taylor expansion of (* b d) in d
15.380 * [taylor]: Taking taylor expansion of b in d
15.380 * [backup-simplify]: Simplify b into b
15.380 * [taylor]: Taking taylor expansion of d in d
15.380 * [backup-simplify]: Simplify 0 into 0
15.380 * [backup-simplify]: Simplify 1 into 1
15.380 * [backup-simplify]: Simplify (* b 0) into 0
15.381 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
15.381 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
15.381 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
15.381 * [taylor]: Taking taylor expansion of (* a c) in d
15.381 * [taylor]: Taking taylor expansion of a in d
15.381 * [backup-simplify]: Simplify a into a
15.381 * [taylor]: Taking taylor expansion of c in d
15.381 * [backup-simplify]: Simplify c into c
15.381 * [backup-simplify]: Simplify (* a c) into (* a c)
15.381 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
15.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.381 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.381 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.381 * [taylor]: Taking taylor expansion of c in d
15.381 * [backup-simplify]: Simplify c into c
15.381 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.381 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.381 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.381 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.381 * [taylor]: Taking taylor expansion of d in d
15.381 * [backup-simplify]: Simplify 0 into 0
15.382 * [backup-simplify]: Simplify 1 into 1
15.382 * [backup-simplify]: Simplify (* 1 1) into 1
15.382 * [backup-simplify]: Simplify (/ 1 1) into 1
15.383 * [backup-simplify]: Simplify (+ 0 1) into 1
15.383 * [backup-simplify]: Simplify (/ 1 1) into 1
15.383 * [backup-simplify]: Simplify (sqrt 1) into 1
15.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.385 * [backup-simplify]: Simplify (+ 0 0) into 0
15.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
15.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
15.387 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.387 * [taylor]: Taking taylor expansion of (* b d) in b
15.387 * [taylor]: Taking taylor expansion of b in b
15.387 * [backup-simplify]: Simplify 0 into 0
15.387 * [backup-simplify]: Simplify 1 into 1
15.387 * [taylor]: Taking taylor expansion of d in b
15.387 * [backup-simplify]: Simplify d into d
15.387 * [backup-simplify]: Simplify (* 0 d) into 0
15.387 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.387 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.387 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
15.387 * [taylor]: Taking taylor expansion of (* a c) in b
15.387 * [taylor]: Taking taylor expansion of a in b
15.387 * [backup-simplify]: Simplify a into a
15.387 * [taylor]: Taking taylor expansion of c in b
15.387 * [backup-simplify]: Simplify c into c
15.387 * [backup-simplify]: Simplify (* a c) into (* a c)
15.388 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
15.388 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
15.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
15.388 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
15.388 * [taylor]: Taking taylor expansion of (pow c 2) in b
15.388 * [taylor]: Taking taylor expansion of c in b
15.388 * [backup-simplify]: Simplify c into c
15.388 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.388 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.388 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
15.388 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.388 * [taylor]: Taking taylor expansion of d in b
15.388 * [backup-simplify]: Simplify d into d
15.388 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.388 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.388 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.388 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.389 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.389 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.389 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.390 * [backup-simplify]: Simplify (+ 0 0) into 0
15.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
15.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
15.390 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.390 * [taylor]: Taking taylor expansion of (* b d) in c
15.390 * [taylor]: Taking taylor expansion of b in c
15.390 * [backup-simplify]: Simplify b into b
15.390 * [taylor]: Taking taylor expansion of d in c
15.390 * [backup-simplify]: Simplify d into d
15.390 * [backup-simplify]: Simplify (* b d) into (* b d)
15.391 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.391 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
15.391 * [taylor]: Taking taylor expansion of (* a c) in c
15.391 * [taylor]: Taking taylor expansion of a in c
15.391 * [backup-simplify]: Simplify a into a
15.391 * [taylor]: Taking taylor expansion of c in c
15.391 * [backup-simplify]: Simplify 0 into 0
15.391 * [backup-simplify]: Simplify 1 into 1
15.391 * [backup-simplify]: Simplify (* a 0) into 0
15.391 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
15.391 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
15.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.391 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.391 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.391 * [taylor]: Taking taylor expansion of c in c
15.391 * [backup-simplify]: Simplify 0 into 0
15.391 * [backup-simplify]: Simplify 1 into 1
15.392 * [backup-simplify]: Simplify (* 1 1) into 1
15.392 * [backup-simplify]: Simplify (/ 1 1) into 1
15.392 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.392 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.392 * [taylor]: Taking taylor expansion of d in c
15.392 * [backup-simplify]: Simplify d into d
15.392 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.392 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.393 * [backup-simplify]: Simplify (+ 1 0) into 1
15.393 * [backup-simplify]: Simplify (/ 1 1) into 1
15.394 * [backup-simplify]: Simplify (sqrt 1) into 1
15.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.396 * [backup-simplify]: Simplify (+ 0 0) into 0
15.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
15.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.397 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.397 * [taylor]: Taking taylor expansion of (* b d) in a
15.397 * [taylor]: Taking taylor expansion of b in a
15.397 * [backup-simplify]: Simplify b into b
15.397 * [taylor]: Taking taylor expansion of d in a
15.398 * [backup-simplify]: Simplify d into d
15.398 * [backup-simplify]: Simplify (* b d) into (* b d)
15.398 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.398 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.398 * [taylor]: Taking taylor expansion of (* a c) in a
15.398 * [taylor]: Taking taylor expansion of a in a
15.398 * [backup-simplify]: Simplify 0 into 0
15.398 * [backup-simplify]: Simplify 1 into 1
15.398 * [taylor]: Taking taylor expansion of c in a
15.398 * [backup-simplify]: Simplify c into c
15.398 * [backup-simplify]: Simplify (* 0 c) into 0
15.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.399 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
15.399 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
15.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
15.399 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
15.399 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.399 * [taylor]: Taking taylor expansion of c in a
15.399 * [backup-simplify]: Simplify c into c
15.399 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.399 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.399 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
15.399 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.399 * [taylor]: Taking taylor expansion of d in a
15.399 * [backup-simplify]: Simplify d into d
15.399 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.399 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.400 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.400 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.400 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.400 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.401 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.401 * [backup-simplify]: Simplify (+ 0 0) into 0
15.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
15.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.402 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.402 * [taylor]: Taking taylor expansion of (* b d) in a
15.402 * [taylor]: Taking taylor expansion of b in a
15.402 * [backup-simplify]: Simplify b into b
15.402 * [taylor]: Taking taylor expansion of d in a
15.402 * [backup-simplify]: Simplify d into d
15.402 * [backup-simplify]: Simplify (* b d) into (* b d)
15.402 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.402 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.402 * [taylor]: Taking taylor expansion of (* a c) in a
15.402 * [taylor]: Taking taylor expansion of a in a
15.402 * [backup-simplify]: Simplify 0 into 0
15.403 * [backup-simplify]: Simplify 1 into 1
15.403 * [taylor]: Taking taylor expansion of c in a
15.403 * [backup-simplify]: Simplify c into c
15.403 * [backup-simplify]: Simplify (* 0 c) into 0
15.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.403 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
15.403 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
15.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
15.403 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
15.403 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.403 * [taylor]: Taking taylor expansion of c in a
15.403 * [backup-simplify]: Simplify c into c
15.403 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.404 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.404 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
15.404 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.404 * [taylor]: Taking taylor expansion of d in a
15.404 * [backup-simplify]: Simplify d into d
15.404 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.404 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.404 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.404 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.404 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.404 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.405 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.405 * [backup-simplify]: Simplify (+ 0 0) into 0
15.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.406 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
15.406 * [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))
15.406 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
15.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.406 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.407 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.407 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.407 * [taylor]: Taking taylor expansion of c in c
15.407 * [backup-simplify]: Simplify 0 into 0
15.407 * [backup-simplify]: Simplify 1 into 1
15.407 * [backup-simplify]: Simplify (* 1 1) into 1
15.407 * [backup-simplify]: Simplify (/ 1 1) into 1
15.407 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.408 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.408 * [taylor]: Taking taylor expansion of d in c
15.408 * [backup-simplify]: Simplify d into d
15.408 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.408 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.408 * [backup-simplify]: Simplify (+ 1 0) into 1
15.409 * [backup-simplify]: Simplify (/ 1 1) into 1
15.409 * [backup-simplify]: Simplify (sqrt 1) into 1
15.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.411 * [backup-simplify]: Simplify (+ 0 0) into 0
15.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.413 * [taylor]: Taking taylor expansion of (/ 1 c) in c
15.413 * [taylor]: Taking taylor expansion of c in c
15.413 * [backup-simplify]: Simplify 0 into 0
15.413 * [backup-simplify]: Simplify 1 into 1
15.413 * [backup-simplify]: Simplify (/ 1 1) into 1
15.414 * [backup-simplify]: Simplify (* 1 1) into 1
15.414 * [taylor]: Taking taylor expansion of 1 in b
15.414 * [backup-simplify]: Simplify 1 into 1
15.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
15.415 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
15.415 * [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))))))
15.415 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
15.415 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.415 * [taylor]: Taking taylor expansion of (* b d) in c
15.415 * [taylor]: Taking taylor expansion of b in c
15.415 * [backup-simplify]: Simplify b into b
15.415 * [taylor]: Taking taylor expansion of d in c
15.415 * [backup-simplify]: Simplify d into d
15.415 * [backup-simplify]: Simplify (* b d) into (* b d)
15.415 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.415 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.416 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.416 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.416 * [taylor]: Taking taylor expansion of c in c
15.416 * [backup-simplify]: Simplify 0 into 0
15.416 * [backup-simplify]: Simplify 1 into 1
15.416 * [backup-simplify]: Simplify (* 1 1) into 1
15.416 * [backup-simplify]: Simplify (/ 1 1) into 1
15.416 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.416 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.416 * [taylor]: Taking taylor expansion of d in c
15.417 * [backup-simplify]: Simplify d into d
15.417 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.417 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.417 * [backup-simplify]: Simplify (+ 1 0) into 1
15.417 * [backup-simplify]: Simplify (/ 1 1) into 1
15.418 * [backup-simplify]: Simplify (sqrt 1) into 1
15.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.420 * [backup-simplify]: Simplify (+ 0 0) into 0
15.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.423 * [taylor]: Taking taylor expansion of 0 in b
15.423 * [backup-simplify]: Simplify 0 into 0
15.423 * [taylor]: Taking taylor expansion of 1 in d
15.423 * [backup-simplify]: Simplify 1 into 1
15.423 * [backup-simplify]: Simplify 1 into 1
15.423 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
15.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
15.424 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
15.425 * [backup-simplify]: Simplify (+ 0 0) into 0
15.425 * [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
15.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.426 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
15.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.428 * [backup-simplify]: Simplify (+ 0 0) into 0
15.429 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
15.429 * [taylor]: Taking taylor expansion of 0 in c
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [taylor]: Taking taylor expansion of 0 in b
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
15.429 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.429 * [taylor]: Taking taylor expansion of (* b d) in b
15.429 * [taylor]: Taking taylor expansion of b in b
15.429 * [backup-simplify]: Simplify 0 into 0
15.429 * [backup-simplify]: Simplify 1 into 1
15.429 * [taylor]: Taking taylor expansion of d in b
15.429 * [backup-simplify]: Simplify d into d
15.429 * [backup-simplify]: Simplify (* 0 d) into 0
15.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.430 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.430 * [taylor]: Taking taylor expansion of (/ 1 d) in d
15.430 * [taylor]: Taking taylor expansion of d in d
15.430 * [backup-simplify]: Simplify 0 into 0
15.430 * [backup-simplify]: Simplify 1 into 1
15.430 * [backup-simplify]: Simplify (/ 1 1) into 1
15.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.431 * [backup-simplify]: Simplify 0 into 0
15.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.434 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
15.441 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
15.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
15.442 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
15.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
15.442 * [taylor]: Taking taylor expansion of 1/2 in b
15.442 * [backup-simplify]: Simplify 1/2 into 1/2
15.442 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
15.442 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.442 * [taylor]: Taking taylor expansion of d in b
15.442 * [backup-simplify]: Simplify d into d
15.442 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.442 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.442 * [taylor]: Taking taylor expansion of 0 in d
15.442 * [backup-simplify]: Simplify 0 into 0
15.442 * [backup-simplify]: Simplify 0 into 0
15.442 * [taylor]: Taking taylor expansion of 0 in d
15.442 * [backup-simplify]: Simplify 0 into 0
15.442 * [backup-simplify]: Simplify 0 into 0
15.442 * [backup-simplify]: Simplify 0 into 0
15.443 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
15.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
15.444 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
15.445 * [backup-simplify]: Simplify (+ 0 0) into 0
15.446 * [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
15.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.447 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
15.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.450 * [backup-simplify]: Simplify (+ 0 0) into 0
15.450 * [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
15.450 * [taylor]: Taking taylor expansion of 0 in c
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [taylor]: Taking taylor expansion of 0 in b
15.451 * [backup-simplify]: Simplify 0 into 0
15.451 * [taylor]: Taking taylor expansion of 0 in b
15.451 * [backup-simplify]: Simplify 0 into 0
15.451 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.451 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
15.451 * [taylor]: Taking taylor expansion of 0 in b
15.451 * [backup-simplify]: Simplify 0 into 0
15.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.454 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
15.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
15.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
15.458 * [taylor]: Taking taylor expansion of 0 in b
15.458 * [backup-simplify]: Simplify 0 into 0
15.458 * [taylor]: Taking taylor expansion of 0 in d
15.458 * [backup-simplify]: Simplify 0 into 0
15.458 * [backup-simplify]: Simplify 0 into 0
15.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
15.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
15.459 * [taylor]: Taking taylor expansion of 0 in d
15.459 * [backup-simplify]: Simplify 0 into 0
15.459 * [backup-simplify]: Simplify 0 into 0
15.459 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a
15.460 * [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))))))
15.460 * [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
15.460 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
15.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
15.460 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
15.460 * [taylor]: Taking taylor expansion of (* b d) in d
15.460 * [taylor]: Taking taylor expansion of b in d
15.460 * [backup-simplify]: Simplify b into b
15.460 * [taylor]: Taking taylor expansion of d in d
15.460 * [backup-simplify]: Simplify 0 into 0
15.460 * [backup-simplify]: Simplify 1 into 1
15.460 * [backup-simplify]: Simplify (* b 0) into 0
15.461 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
15.461 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
15.461 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
15.461 * [taylor]: Taking taylor expansion of (* a c) in d
15.461 * [taylor]: Taking taylor expansion of a in d
15.461 * [backup-simplify]: Simplify a into a
15.461 * [taylor]: Taking taylor expansion of c in d
15.461 * [backup-simplify]: Simplify c into c
15.461 * [backup-simplify]: Simplify (* a c) into (* a c)
15.461 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
15.461 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
15.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
15.461 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d
15.461 * [taylor]: Taking taylor expansion of (pow c 2) in d
15.461 * [taylor]: Taking taylor expansion of c in d
15.461 * [backup-simplify]: Simplify c into c
15.461 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.461 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.461 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d
15.461 * [taylor]: Taking taylor expansion of (pow d 2) in d
15.462 * [taylor]: Taking taylor expansion of d in d
15.462 * [backup-simplify]: Simplify 0 into 0
15.462 * [backup-simplify]: Simplify 1 into 1
15.462 * [backup-simplify]: Simplify (* 1 1) into 1
15.462 * [backup-simplify]: Simplify (/ 1 1) into 1
15.463 * [backup-simplify]: Simplify (+ 0 1) into 1
15.463 * [backup-simplify]: Simplify (/ 1 1) into 1
15.463 * [backup-simplify]: Simplify (sqrt 1) into 1
15.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.465 * [backup-simplify]: Simplify (+ 0 0) into 0
15.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.467 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b
15.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
15.467 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.467 * [taylor]: Taking taylor expansion of (* b d) in b
15.467 * [taylor]: Taking taylor expansion of b in b
15.467 * [backup-simplify]: Simplify 0 into 0
15.467 * [backup-simplify]: Simplify 1 into 1
15.467 * [taylor]: Taking taylor expansion of d in b
15.467 * [backup-simplify]: Simplify d into d
15.467 * [backup-simplify]: Simplify (* 0 d) into 0
15.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.467 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.467 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
15.468 * [taylor]: Taking taylor expansion of (* a c) in b
15.468 * [taylor]: Taking taylor expansion of a in b
15.468 * [backup-simplify]: Simplify a into a
15.468 * [taylor]: Taking taylor expansion of c in b
15.468 * [backup-simplify]: Simplify c into c
15.468 * [backup-simplify]: Simplify (* a c) into (* a c)
15.468 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b
15.468 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b
15.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b
15.468 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b
15.468 * [taylor]: Taking taylor expansion of (pow c 2) in b
15.468 * [taylor]: Taking taylor expansion of c in b
15.468 * [backup-simplify]: Simplify c into c
15.468 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.468 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.468 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
15.468 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.468 * [taylor]: Taking taylor expansion of d in b
15.468 * [backup-simplify]: Simplify d into d
15.468 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.468 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.469 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.469 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.469 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.469 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.469 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.470 * [backup-simplify]: Simplify (+ 0 0) into 0
15.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.470 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
15.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
15.471 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.471 * [taylor]: Taking taylor expansion of (* b d) in c
15.471 * [taylor]: Taking taylor expansion of b in c
15.471 * [backup-simplify]: Simplify b into b
15.471 * [taylor]: Taking taylor expansion of d in c
15.471 * [backup-simplify]: Simplify d into d
15.471 * [backup-simplify]: Simplify (* b d) into (* b d)
15.471 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.471 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
15.471 * [taylor]: Taking taylor expansion of (* a c) in c
15.471 * [taylor]: Taking taylor expansion of a in c
15.471 * [backup-simplify]: Simplify a into a
15.471 * [taylor]: Taking taylor expansion of c in c
15.471 * [backup-simplify]: Simplify 0 into 0
15.471 * [backup-simplify]: Simplify 1 into 1
15.471 * [backup-simplify]: Simplify (* a 0) into 0
15.471 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
15.472 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
15.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.472 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.472 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.472 * [taylor]: Taking taylor expansion of c in c
15.472 * [backup-simplify]: Simplify 0 into 0
15.472 * [backup-simplify]: Simplify 1 into 1
15.472 * [backup-simplify]: Simplify (* 1 1) into 1
15.473 * [backup-simplify]: Simplify (/ 1 1) into 1
15.473 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.473 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.473 * [taylor]: Taking taylor expansion of d in c
15.473 * [backup-simplify]: Simplify d into d
15.473 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.473 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.473 * [backup-simplify]: Simplify (+ 1 0) into 1
15.474 * [backup-simplify]: Simplify (/ 1 1) into 1
15.474 * [backup-simplify]: Simplify (sqrt 1) into 1
15.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.476 * [backup-simplify]: Simplify (+ 0 0) into 0
15.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
15.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.477 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.477 * [taylor]: Taking taylor expansion of (* b d) in a
15.477 * [taylor]: Taking taylor expansion of b in a
15.477 * [backup-simplify]: Simplify b into b
15.477 * [taylor]: Taking taylor expansion of d in a
15.477 * [backup-simplify]: Simplify d into d
15.478 * [backup-simplify]: Simplify (* b d) into (* b d)
15.478 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.478 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.478 * [taylor]: Taking taylor expansion of (* a c) in a
15.478 * [taylor]: Taking taylor expansion of a in a
15.478 * [backup-simplify]: Simplify 0 into 0
15.478 * [backup-simplify]: Simplify 1 into 1
15.478 * [taylor]: Taking taylor expansion of c in a
15.478 * [backup-simplify]: Simplify c into c
15.478 * [backup-simplify]: Simplify (* 0 c) into 0
15.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.478 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
15.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
15.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
15.478 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
15.478 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.478 * [taylor]: Taking taylor expansion of c in a
15.478 * [backup-simplify]: Simplify c into c
15.479 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.479 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.479 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
15.479 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.479 * [taylor]: Taking taylor expansion of d in a
15.479 * [backup-simplify]: Simplify d into d
15.479 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.479 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.479 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.479 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.479 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.480 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.480 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.481 * [backup-simplify]: Simplify (+ 0 0) into 0
15.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.481 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a
15.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.481 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.481 * [taylor]: Taking taylor expansion of (* b d) in a
15.481 * [taylor]: Taking taylor expansion of b in a
15.482 * [backup-simplify]: Simplify b into b
15.482 * [taylor]: Taking taylor expansion of d in a
15.482 * [backup-simplify]: Simplify d into d
15.482 * [backup-simplify]: Simplify (* b d) into (* b d)
15.482 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.482 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.482 * [taylor]: Taking taylor expansion of (* a c) in a
15.482 * [taylor]: Taking taylor expansion of a in a
15.482 * [backup-simplify]: Simplify 0 into 0
15.482 * [backup-simplify]: Simplify 1 into 1
15.482 * [taylor]: Taking taylor expansion of c in a
15.482 * [backup-simplify]: Simplify c into c
15.482 * [backup-simplify]: Simplify (* 0 c) into 0
15.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.483 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a
15.483 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a
15.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a
15.483 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a
15.483 * [taylor]: Taking taylor expansion of (pow c 2) in a
15.483 * [taylor]: Taking taylor expansion of c in a
15.483 * [backup-simplify]: Simplify c into c
15.483 * [backup-simplify]: Simplify (* c c) into (pow c 2)
15.483 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
15.483 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a
15.483 * [taylor]: Taking taylor expansion of (pow d 2) in a
15.483 * [taylor]: Taking taylor expansion of d in a
15.483 * [backup-simplify]: Simplify d into d
15.483 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.483 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.483 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
15.484 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
15.484 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
15.484 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0
15.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
15.484 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.485 * [backup-simplify]: Simplify (+ 0 0) into 0
15.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.486 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
15.486 * [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))
15.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c
15.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.486 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.486 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.486 * [taylor]: Taking taylor expansion of c in c
15.486 * [backup-simplify]: Simplify 0 into 0
15.486 * [backup-simplify]: Simplify 1 into 1
15.486 * [backup-simplify]: Simplify (* 1 1) into 1
15.487 * [backup-simplify]: Simplify (/ 1 1) into 1
15.487 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.487 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.487 * [taylor]: Taking taylor expansion of d in c
15.487 * [backup-simplify]: Simplify d into d
15.487 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.487 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.488 * [backup-simplify]: Simplify (+ 1 0) into 1
15.488 * [backup-simplify]: Simplify (/ 1 1) into 1
15.488 * [backup-simplify]: Simplify (sqrt 1) into 1
15.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.490 * [backup-simplify]: Simplify (+ 0 0) into 0
15.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.492 * [taylor]: Taking taylor expansion of (/ 1 c) in c
15.492 * [taylor]: Taking taylor expansion of c in c
15.492 * [backup-simplify]: Simplify 0 into 0
15.492 * [backup-simplify]: Simplify 1 into 1
15.492 * [backup-simplify]: Simplify (/ 1 1) into 1
15.493 * [backup-simplify]: Simplify (* 1 1) into 1
15.493 * [taylor]: Taking taylor expansion of 1 in b
15.493 * [backup-simplify]: Simplify 1 into 1
15.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
15.494 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
15.494 * [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))))))
15.494 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c
15.494 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.494 * [taylor]: Taking taylor expansion of (* b d) in c
15.494 * [taylor]: Taking taylor expansion of b in c
15.495 * [backup-simplify]: Simplify b into b
15.495 * [taylor]: Taking taylor expansion of d in c
15.495 * [backup-simplify]: Simplify d into d
15.495 * [backup-simplify]: Simplify (* b d) into (* b d)
15.495 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c
15.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c
15.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c
15.495 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c
15.495 * [taylor]: Taking taylor expansion of (pow c 2) in c
15.495 * [taylor]: Taking taylor expansion of c in c
15.495 * [backup-simplify]: Simplify 0 into 0
15.495 * [backup-simplify]: Simplify 1 into 1
15.496 * [backup-simplify]: Simplify (* 1 1) into 1
15.496 * [backup-simplify]: Simplify (/ 1 1) into 1
15.496 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c
15.496 * [taylor]: Taking taylor expansion of (pow d 2) in c
15.496 * [taylor]: Taking taylor expansion of d in c
15.496 * [backup-simplify]: Simplify d into d
15.496 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.496 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.497 * [backup-simplify]: Simplify (+ 1 0) into 1
15.497 * [backup-simplify]: Simplify (/ 1 1) into 1
15.497 * [backup-simplify]: Simplify (sqrt 1) into 1
15.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.499 * [backup-simplify]: Simplify (+ 0 0) into 0
15.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
15.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.501 * [taylor]: Taking taylor expansion of 0 in b
15.501 * [backup-simplify]: Simplify 0 into 0
15.502 * [taylor]: Taking taylor expansion of 1 in d
15.502 * [backup-simplify]: Simplify 1 into 1
15.502 * [backup-simplify]: Simplify 1 into 1
15.502 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
15.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
15.502 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
15.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
15.503 * [backup-simplify]: Simplify (+ 0 0) into 0
15.503 * [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
15.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.504 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
15.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.505 * [backup-simplify]: Simplify (+ 0 0) into 0
15.505 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
15.505 * [taylor]: Taking taylor expansion of 0 in c
15.505 * [backup-simplify]: Simplify 0 into 0
15.505 * [taylor]: Taking taylor expansion of 0 in b
15.505 * [backup-simplify]: Simplify 0 into 0
15.505 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d))
15.505 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.505 * [taylor]: Taking taylor expansion of (* b d) in b
15.505 * [taylor]: Taking taylor expansion of b in b
15.505 * [backup-simplify]: Simplify 0 into 0
15.505 * [backup-simplify]: Simplify 1 into 1
15.505 * [taylor]: Taking taylor expansion of d in b
15.505 * [backup-simplify]: Simplify d into d
15.505 * [backup-simplify]: Simplify (* 0 d) into 0
15.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.506 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.506 * [taylor]: Taking taylor expansion of (/ 1 d) in d
15.506 * [taylor]: Taking taylor expansion of d in d
15.506 * [backup-simplify]: Simplify 0 into 0
15.506 * [backup-simplify]: Simplify 1 into 1
15.506 * [backup-simplify]: Simplify (/ 1 1) into 1
15.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.506 * [backup-simplify]: Simplify 0 into 0
15.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.508 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
15.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2)))
15.509 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2))
15.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2))))
15.510 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b
15.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b
15.510 * [taylor]: Taking taylor expansion of 1/2 in b
15.510 * [backup-simplify]: Simplify 1/2 into 1/2
15.510 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b
15.510 * [taylor]: Taking taylor expansion of (pow d 2) in b
15.510 * [taylor]: Taking taylor expansion of d in b
15.510 * [backup-simplify]: Simplify d into d
15.510 * [backup-simplify]: Simplify (* d d) into (pow d 2)
15.510 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
15.510 * [taylor]: Taking taylor expansion of 0 in d
15.510 * [backup-simplify]: Simplify 0 into 0
15.510 * [backup-simplify]: Simplify 0 into 0
15.510 * [taylor]: Taking taylor expansion of 0 in d
15.510 * [backup-simplify]: Simplify 0 into 0
15.510 * [backup-simplify]: Simplify 0 into 0
15.510 * [backup-simplify]: Simplify 0 into 0
15.511 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0
15.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
15.511 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
15.512 * [backup-simplify]: Simplify (+ 0 0) into 0
15.512 * [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
15.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
15.513 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
15.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.514 * [backup-simplify]: Simplify (+ 0 0) into 0
15.515 * [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
15.515 * [taylor]: Taking taylor expansion of 0 in c
15.515 * [backup-simplify]: Simplify 0 into 0
15.515 * [taylor]: Taking taylor expansion of 0 in b
15.515 * [backup-simplify]: Simplify 0 into 0
15.515 * [taylor]: Taking taylor expansion of 0 in b
15.515 * [backup-simplify]: Simplify 0 into 0
15.515 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.515 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0
15.516 * [taylor]: Taking taylor expansion of 0 in b
15.516 * [backup-simplify]: Simplify 0 into 0
15.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.517 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0
15.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
15.518 * [backup-simplify]: Simplify (+ 0 0) into 0
15.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0
15.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0
15.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0
15.519 * [taylor]: Taking taylor expansion of 0 in b
15.519 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in d
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
15.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
15.520 * [taylor]: Taking taylor expansion of 0 in d
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a)
15.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
15.521 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d))
15.521 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0
15.521 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d
15.521 * [taylor]: Taking taylor expansion of (* a c) in d
15.521 * [taylor]: Taking taylor expansion of a in d
15.521 * [backup-simplify]: Simplify a into a
15.521 * [taylor]: Taking taylor expansion of c in d
15.521 * [backup-simplify]: Simplify c into c
15.521 * [taylor]: Taking taylor expansion of (* b d) in d
15.521 * [taylor]: Taking taylor expansion of b in d
15.521 * [backup-simplify]: Simplify b into b
15.521 * [taylor]: Taking taylor expansion of d in d
15.521 * [backup-simplify]: Simplify 0 into 0
15.521 * [backup-simplify]: Simplify 1 into 1
15.521 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b
15.521 * [taylor]: Taking taylor expansion of (* a c) in b
15.521 * [taylor]: Taking taylor expansion of a in b
15.521 * [backup-simplify]: Simplify a into a
15.521 * [taylor]: Taking taylor expansion of c in b
15.521 * [backup-simplify]: Simplify c into c
15.521 * [taylor]: Taking taylor expansion of (* b d) in b
15.521 * [taylor]: Taking taylor expansion of b in b
15.521 * [backup-simplify]: Simplify 0 into 0
15.521 * [backup-simplify]: Simplify 1 into 1
15.521 * [taylor]: Taking taylor expansion of d in b
15.521 * [backup-simplify]: Simplify d into d
15.521 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c
15.521 * [taylor]: Taking taylor expansion of (* a c) in c
15.521 * [taylor]: Taking taylor expansion of a in c
15.521 * [backup-simplify]: Simplify a into a
15.521 * [taylor]: Taking taylor expansion of c in c
15.521 * [backup-simplify]: Simplify 0 into 0
15.521 * [backup-simplify]: Simplify 1 into 1
15.521 * [taylor]: Taking taylor expansion of (* b d) in c
15.521 * [taylor]: Taking taylor expansion of b in c
15.521 * [backup-simplify]: Simplify b into b
15.521 * [taylor]: Taking taylor expansion of d in c
15.521 * [backup-simplify]: Simplify d into d
15.521 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
15.521 * [taylor]: Taking taylor expansion of (* a c) in a
15.521 * [taylor]: Taking taylor expansion of a in a
15.521 * [backup-simplify]: Simplify 0 into 0
15.521 * [backup-simplify]: Simplify 1 into 1
15.521 * [taylor]: Taking taylor expansion of c in a
15.521 * [backup-simplify]: Simplify c into c
15.521 * [taylor]: Taking taylor expansion of (* b d) in a
15.521 * [taylor]: Taking taylor expansion of b in a
15.521 * [backup-simplify]: Simplify b into b
15.521 * [taylor]: Taking taylor expansion of d in a
15.521 * [backup-simplify]: Simplify d into d
15.521 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a
15.521 * [taylor]: Taking taylor expansion of (* a c) in a
15.521 * [taylor]: Taking taylor expansion of a in a
15.521 * [backup-simplify]: Simplify 0 into 0
15.521 * [backup-simplify]: Simplify 1 into 1
15.521 * [taylor]: Taking taylor expansion of c in a
15.521 * [backup-simplify]: Simplify c into c
15.521 * [taylor]: Taking taylor expansion of (* b d) in a
15.521 * [taylor]: Taking taylor expansion of b in a
15.521 * [backup-simplify]: Simplify b into b
15.521 * [taylor]: Taking taylor expansion of d in a
15.521 * [backup-simplify]: Simplify d into d
15.522 * [backup-simplify]: Simplify (* 0 c) into 0
15.522 * [backup-simplify]: Simplify (* b d) into (* b d)
15.522 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d)
15.522 * [taylor]: Taking taylor expansion of (* b d) in c
15.522 * [taylor]: Taking taylor expansion of b in c
15.522 * [backup-simplify]: Simplify b into b
15.522 * [taylor]: Taking taylor expansion of d in c
15.522 * [backup-simplify]: Simplify d into d
15.522 * [backup-simplify]: Simplify (* b d) into (* b d)
15.522 * [taylor]: Taking taylor expansion of (* b d) in b
15.522 * [taylor]: Taking taylor expansion of b in b
15.522 * [backup-simplify]: Simplify 0 into 0
15.522 * [backup-simplify]: Simplify 1 into 1
15.522 * [taylor]: Taking taylor expansion of d in b
15.522 * [backup-simplify]: Simplify d into d
15.522 * [backup-simplify]: Simplify (* 0 d) into 0
15.522 * [taylor]: Taking taylor expansion of 0 in d
15.522 * [backup-simplify]: Simplify 0 into 0
15.522 * [backup-simplify]: Simplify 0 into 0
15.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.522 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.523 * [backup-simplify]: Simplify (+ c 0) into c
15.523 * [taylor]: Taking taylor expansion of c in c
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify 1 into 1
15.523 * [taylor]: Taking taylor expansion of 0 in b
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [taylor]: Taking taylor expansion of 0 in d
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.523 * [taylor]: Taking taylor expansion of 0 in b
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [taylor]: Taking taylor expansion of 0 in d
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.523 * [taylor]: Taking taylor expansion of d in d
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify 1 into 1
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify 0 into 0
15.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.524 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.524 * [backup-simplify]: Simplify (+ 0 0) into 0
15.524 * [taylor]: Taking taylor expansion of 0 in c
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [taylor]: Taking taylor expansion of 0 in b
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [taylor]: Taking taylor expansion of 0 in d
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [backup-simplify]: Simplify 0 into 0
15.524 * [backup-simplify]: Simplify 0 into 0
15.525 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
15.525 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
15.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
15.525 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
15.525 * [taylor]: Taking taylor expansion of (* b d) in d
15.525 * [taylor]: Taking taylor expansion of b in d
15.525 * [backup-simplify]: Simplify b into b
15.525 * [taylor]: Taking taylor expansion of d in d
15.525 * [backup-simplify]: Simplify 0 into 0
15.525 * [backup-simplify]: Simplify 1 into 1
15.525 * [backup-simplify]: Simplify (* b 0) into 0
15.525 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
15.525 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
15.525 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
15.525 * [taylor]: Taking taylor expansion of (* a c) in d
15.525 * [taylor]: Taking taylor expansion of a in d
15.525 * [backup-simplify]: Simplify a into a
15.525 * [taylor]: Taking taylor expansion of c in d
15.525 * [backup-simplify]: Simplify c into c
15.525 * [backup-simplify]: Simplify (* a c) into (* a c)
15.525 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
15.525 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.525 * [taylor]: Taking taylor expansion of (* b d) in b
15.525 * [taylor]: Taking taylor expansion of b in b
15.525 * [backup-simplify]: Simplify 0 into 0
15.525 * [backup-simplify]: Simplify 1 into 1
15.525 * [taylor]: Taking taylor expansion of d in b
15.525 * [backup-simplify]: Simplify d into d
15.525 * [backup-simplify]: Simplify (* 0 d) into 0
15.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.526 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.526 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
15.526 * [taylor]: Taking taylor expansion of (* a c) in b
15.526 * [taylor]: Taking taylor expansion of a in b
15.526 * [backup-simplify]: Simplify a into a
15.526 * [taylor]: Taking taylor expansion of c in b
15.526 * [backup-simplify]: Simplify c into c
15.526 * [backup-simplify]: Simplify (* a c) into (* a c)
15.526 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
15.526 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.526 * [taylor]: Taking taylor expansion of (* b d) in c
15.526 * [taylor]: Taking taylor expansion of b in c
15.526 * [backup-simplify]: Simplify b into b
15.526 * [taylor]: Taking taylor expansion of d in c
15.526 * [backup-simplify]: Simplify d into d
15.526 * [backup-simplify]: Simplify (* b d) into (* b d)
15.526 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.526 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
15.526 * [taylor]: Taking taylor expansion of (* a c) in c
15.526 * [taylor]: Taking taylor expansion of a in c
15.526 * [backup-simplify]: Simplify a into a
15.526 * [taylor]: Taking taylor expansion of c in c
15.526 * [backup-simplify]: Simplify 0 into 0
15.526 * [backup-simplify]: Simplify 1 into 1
15.526 * [backup-simplify]: Simplify (* a 0) into 0
15.526 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
15.526 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
15.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.526 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.526 * [taylor]: Taking taylor expansion of (* b d) in a
15.527 * [taylor]: Taking taylor expansion of b in a
15.527 * [backup-simplify]: Simplify b into b
15.527 * [taylor]: Taking taylor expansion of d in a
15.527 * [backup-simplify]: Simplify d into d
15.527 * [backup-simplify]: Simplify (* b d) into (* b d)
15.527 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.527 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.527 * [taylor]: Taking taylor expansion of (* a c) in a
15.527 * [taylor]: Taking taylor expansion of a in a
15.527 * [backup-simplify]: Simplify 0 into 0
15.527 * [backup-simplify]: Simplify 1 into 1
15.527 * [taylor]: Taking taylor expansion of c in a
15.527 * [backup-simplify]: Simplify c into c
15.527 * [backup-simplify]: Simplify (* 0 c) into 0
15.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.527 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.527 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.527 * [taylor]: Taking taylor expansion of (* b d) in a
15.527 * [taylor]: Taking taylor expansion of b in a
15.527 * [backup-simplify]: Simplify b into b
15.527 * [taylor]: Taking taylor expansion of d in a
15.527 * [backup-simplify]: Simplify d into d
15.527 * [backup-simplify]: Simplify (* b d) into (* b d)
15.527 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.527 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.527 * [taylor]: Taking taylor expansion of (* a c) in a
15.527 * [taylor]: Taking taylor expansion of a in a
15.527 * [backup-simplify]: Simplify 0 into 0
15.527 * [backup-simplify]: Simplify 1 into 1
15.527 * [taylor]: Taking taylor expansion of c in a
15.527 * [backup-simplify]: Simplify c into c
15.527 * [backup-simplify]: Simplify (* 0 c) into 0
15.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.528 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.528 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
15.528 * [taylor]: Taking taylor expansion of (/ 1 c) in c
15.528 * [taylor]: Taking taylor expansion of c in c
15.528 * [backup-simplify]: Simplify 0 into 0
15.528 * [backup-simplify]: Simplify 1 into 1
15.528 * [backup-simplify]: Simplify (/ 1 1) into 1
15.528 * [taylor]: Taking taylor expansion of 1 in b
15.528 * [backup-simplify]: Simplify 1 into 1
15.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
15.529 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
15.529 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.529 * [taylor]: Taking taylor expansion of (* b d) in c
15.529 * [taylor]: Taking taylor expansion of b in c
15.529 * [backup-simplify]: Simplify b into b
15.529 * [taylor]: Taking taylor expansion of d in c
15.529 * [backup-simplify]: Simplify d into d
15.529 * [backup-simplify]: Simplify (* b d) into (* b d)
15.529 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.529 * [taylor]: Taking taylor expansion of 0 in b
15.529 * [backup-simplify]: Simplify 0 into 0
15.529 * [taylor]: Taking taylor expansion of 1 in d
15.529 * [backup-simplify]: Simplify 1 into 1
15.530 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
15.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.531 * [backup-simplify]: Simplify (+ 0 0) into 0
15.531 * [taylor]: Taking taylor expansion of 0 in c
15.531 * [backup-simplify]: Simplify 0 into 0
15.531 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.531 * [taylor]: Taking taylor expansion of (* b d) in b
15.531 * [taylor]: Taking taylor expansion of b in b
15.531 * [backup-simplify]: Simplify 0 into 0
15.531 * [backup-simplify]: Simplify 1 into 1
15.531 * [taylor]: Taking taylor expansion of d in b
15.531 * [backup-simplify]: Simplify d into d
15.531 * [backup-simplify]: Simplify (* 0 d) into 0
15.531 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.531 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.531 * [taylor]: Taking taylor expansion of (/ 1 d) in d
15.531 * [taylor]: Taking taylor expansion of d in d
15.531 * [backup-simplify]: Simplify 0 into 0
15.531 * [backup-simplify]: Simplify 1 into 1
15.531 * [backup-simplify]: Simplify (/ 1 1) into 1
15.531 * [backup-simplify]: Simplify 1 into 1
15.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.532 * [taylor]: Taking taylor expansion of 0 in b
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [taylor]: Taking taylor expansion of 0 in d
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [taylor]: Taking taylor expansion of 0 in d
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [backup-simplify]: Simplify 1 into 1
15.532 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
15.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.534 * [backup-simplify]: Simplify (+ 0 0) into 0
15.534 * [taylor]: Taking taylor expansion of 0 in c
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in b
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.534 * [taylor]: Taking taylor expansion of 0 in b
15.534 * [backup-simplify]: Simplify 0 into 0
15.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.535 * [taylor]: Taking taylor expansion of 0 in b
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
15.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
15.535 * [taylor]: Taking taylor expansion of 0 in d
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [taylor]: Taking taylor expansion of 0 in d
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [taylor]: Taking taylor expansion of 0 in d
15.535 * [backup-simplify]: Simplify 0 into 0
15.536 * [taylor]: Taking taylor expansion of 0 in d
15.536 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.536 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify 0 into 0
15.537 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
15.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.538 * [backup-simplify]: Simplify (+ 0 0) into 0
15.538 * [taylor]: Taking taylor expansion of 0 in c
15.538 * [backup-simplify]: Simplify 0 into 0
15.538 * [taylor]: Taking taylor expansion of 0 in b
15.538 * [backup-simplify]: Simplify 0 into 0
15.538 * [taylor]: Taking taylor expansion of 0 in b
15.538 * [backup-simplify]: Simplify 0 into 0
15.539 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.539 * [taylor]: Taking taylor expansion of 0 in b
15.539 * [backup-simplify]: Simplify 0 into 0
15.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.539 * [taylor]: Taking taylor expansion of 0 in b
15.539 * [backup-simplify]: Simplify 0 into 0
15.539 * [taylor]: Taking taylor expansion of 0 in d
15.539 * [backup-simplify]: Simplify 0 into 0
15.539 * [taylor]: Taking taylor expansion of 0 in d
15.540 * [backup-simplify]: Simplify 0 into 0
15.540 * [taylor]: Taking taylor expansion of 0 in d
15.540 * [backup-simplify]: Simplify 0 into 0
15.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
15.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
15.541 * [taylor]: Taking taylor expansion of 0 in d
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [taylor]: Taking taylor expansion of 0 in d
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [taylor]: Taking taylor expansion of 0 in d
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [taylor]: Taking taylor expansion of 0 in d
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify 0 into 0
15.541 * [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))
15.541 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c)))
15.541 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0
15.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d
15.541 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d
15.541 * [taylor]: Taking taylor expansion of (* b d) in d
15.541 * [taylor]: Taking taylor expansion of b in d
15.541 * [backup-simplify]: Simplify b into b
15.542 * [taylor]: Taking taylor expansion of d in d
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify 1 into 1
15.542 * [backup-simplify]: Simplify (* b 0) into 0
15.542 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b
15.542 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b)
15.542 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d
15.542 * [taylor]: Taking taylor expansion of (* a c) in d
15.542 * [taylor]: Taking taylor expansion of a in d
15.542 * [backup-simplify]: Simplify a into a
15.542 * [taylor]: Taking taylor expansion of c in d
15.542 * [backup-simplify]: Simplify c into c
15.542 * [backup-simplify]: Simplify (* a c) into (* a c)
15.542 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b
15.542 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.542 * [taylor]: Taking taylor expansion of (* b d) in b
15.542 * [taylor]: Taking taylor expansion of b in b
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify 1 into 1
15.542 * [taylor]: Taking taylor expansion of d in b
15.542 * [backup-simplify]: Simplify d into d
15.542 * [backup-simplify]: Simplify (* 0 d) into 0
15.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.542 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.543 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b
15.543 * [taylor]: Taking taylor expansion of (* a c) in b
15.543 * [taylor]: Taking taylor expansion of a in b
15.543 * [backup-simplify]: Simplify a into a
15.543 * [taylor]: Taking taylor expansion of c in b
15.543 * [backup-simplify]: Simplify c into c
15.543 * [backup-simplify]: Simplify (* a c) into (* a c)
15.543 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c))
15.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c
15.543 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.543 * [taylor]: Taking taylor expansion of (* b d) in c
15.543 * [taylor]: Taking taylor expansion of b in c
15.543 * [backup-simplify]: Simplify b into b
15.543 * [taylor]: Taking taylor expansion of d in c
15.543 * [backup-simplify]: Simplify d into d
15.543 * [backup-simplify]: Simplify (* b d) into (* b d)
15.543 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.543 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c
15.543 * [taylor]: Taking taylor expansion of (* a c) in c
15.543 * [taylor]: Taking taylor expansion of a in c
15.543 * [backup-simplify]: Simplify a into a
15.543 * [taylor]: Taking taylor expansion of c in c
15.543 * [backup-simplify]: Simplify 0 into 0
15.543 * [backup-simplify]: Simplify 1 into 1
15.543 * [backup-simplify]: Simplify (* a 0) into 0
15.543 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a
15.543 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a)
15.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.543 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.543 * [taylor]: Taking taylor expansion of (* b d) in a
15.543 * [taylor]: Taking taylor expansion of b in a
15.543 * [backup-simplify]: Simplify b into b
15.543 * [taylor]: Taking taylor expansion of d in a
15.543 * [backup-simplify]: Simplify d into d
15.543 * [backup-simplify]: Simplify (* b d) into (* b d)
15.543 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.543 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.544 * [taylor]: Taking taylor expansion of (* a c) in a
15.544 * [taylor]: Taking taylor expansion of a in a
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.544 * [taylor]: Taking taylor expansion of c in a
15.544 * [backup-simplify]: Simplify c into c
15.544 * [backup-simplify]: Simplify (* 0 c) into 0
15.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.544 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a
15.544 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a
15.544 * [taylor]: Taking taylor expansion of (* b d) in a
15.544 * [taylor]: Taking taylor expansion of b in a
15.544 * [backup-simplify]: Simplify b into b
15.544 * [taylor]: Taking taylor expansion of d in a
15.544 * [backup-simplify]: Simplify d into d
15.544 * [backup-simplify]: Simplify (* b d) into (* b d)
15.544 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.544 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a
15.544 * [taylor]: Taking taylor expansion of (* a c) in a
15.544 * [taylor]: Taking taylor expansion of a in a
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.544 * [taylor]: Taking taylor expansion of c in a
15.544 * [backup-simplify]: Simplify c into c
15.544 * [backup-simplify]: Simplify (* 0 c) into 0
15.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c
15.545 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c)
15.545 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c)
15.545 * [taylor]: Taking taylor expansion of (/ 1 c) in c
15.545 * [taylor]: Taking taylor expansion of c in c
15.545 * [backup-simplify]: Simplify 0 into 0
15.545 * [backup-simplify]: Simplify 1 into 1
15.545 * [backup-simplify]: Simplify (/ 1 1) into 1
15.545 * [taylor]: Taking taylor expansion of 1 in b
15.545 * [backup-simplify]: Simplify 1 into 1
15.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
15.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
15.546 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
15.546 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c
15.546 * [taylor]: Taking taylor expansion of (* b d) in c
15.546 * [taylor]: Taking taylor expansion of b in c
15.546 * [backup-simplify]: Simplify b into b
15.546 * [taylor]: Taking taylor expansion of d in c
15.546 * [backup-simplify]: Simplify d into d
15.546 * [backup-simplify]: Simplify (* b d) into (* b d)
15.546 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d))
15.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.546 * [taylor]: Taking taylor expansion of 0 in b
15.546 * [backup-simplify]: Simplify 0 into 0
15.546 * [taylor]: Taking taylor expansion of 1 in d
15.546 * [backup-simplify]: Simplify 1 into 1
15.546 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
15.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.547 * [backup-simplify]: Simplify (+ 0 0) into 0
15.548 * [taylor]: Taking taylor expansion of 0 in c
15.548 * [backup-simplify]: Simplify 0 into 0
15.548 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b
15.548 * [taylor]: Taking taylor expansion of (* b d) in b
15.548 * [taylor]: Taking taylor expansion of b in b
15.548 * [backup-simplify]: Simplify 0 into 0
15.548 * [backup-simplify]: Simplify 1 into 1
15.548 * [taylor]: Taking taylor expansion of d in b
15.548 * [backup-simplify]: Simplify d into d
15.548 * [backup-simplify]: Simplify (* 0 d) into 0
15.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d
15.548 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d)
15.548 * [taylor]: Taking taylor expansion of (/ 1 d) in d
15.548 * [taylor]: Taking taylor expansion of d in d
15.548 * [backup-simplify]: Simplify 0 into 0
15.548 * [backup-simplify]: Simplify 1 into 1
15.548 * [backup-simplify]: Simplify (/ 1 1) into 1
15.548 * [backup-simplify]: Simplify 1 into 1
15.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.549 * [taylor]: Taking taylor expansion of 0 in b
15.549 * [backup-simplify]: Simplify 0 into 0
15.549 * [taylor]: Taking taylor expansion of 0 in d
15.549 * [backup-simplify]: Simplify 0 into 0
15.549 * [taylor]: Taking taylor expansion of 0 in d
15.549 * [backup-simplify]: Simplify 0 into 0
15.549 * [backup-simplify]: Simplify 1 into 1
15.549 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0
15.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.551 * [backup-simplify]: Simplify (+ 0 0) into 0
15.551 * [taylor]: Taking taylor expansion of 0 in c
15.551 * [backup-simplify]: Simplify 0 into 0
15.551 * [taylor]: Taking taylor expansion of 0 in b
15.551 * [backup-simplify]: Simplify 0 into 0
15.551 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0
15.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
15.551 * [taylor]: Taking taylor expansion of 0 in b
15.551 * [backup-simplify]: Simplify 0 into 0
15.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.552 * [taylor]: Taking taylor expansion of 0 in b
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
15.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
15.552 * [taylor]: Taking taylor expansion of 0 in d
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [taylor]: Taking taylor expansion of 0 in d
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [taylor]: Taking taylor expansion of 0 in d
15.552 * [backup-simplify]: Simplify 0 into 0
15.552 * [taylor]: Taking taylor expansion of 0 in d
15.552 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.553 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify 0 into 0
15.556 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
15.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0
15.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
15.558 * [backup-simplify]: Simplify (+ 0 0) into 0
15.558 * [taylor]: Taking taylor expansion of 0 in c
15.558 * [backup-simplify]: Simplify 0 into 0
15.558 * [taylor]: Taking taylor expansion of 0 in b
15.558 * [backup-simplify]: Simplify 0 into 0
15.558 * [taylor]: Taking taylor expansion of 0 in b
15.558 * [backup-simplify]: Simplify 0 into 0
15.559 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
15.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
15.559 * [taylor]: Taking taylor expansion of 0 in b
15.559 * [backup-simplify]: Simplify 0 into 0
15.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.560 * [taylor]: Taking taylor expansion of 0 in b
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [taylor]: Taking taylor expansion of 0 in d
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [taylor]: Taking taylor expansion of 0 in d
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [taylor]: Taking taylor expansion of 0 in d
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
15.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
15.561 * [taylor]: Taking taylor expansion of 0 in d
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [taylor]: Taking taylor expansion of 0 in d
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [taylor]: Taking taylor expansion of 0 in d
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [taylor]: Taking taylor expansion of 0 in d
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [backup-simplify]: Simplify 0 into 0
15.561 * [backup-simplify]: Simplify 0 into 0
15.562 * [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))
15.562 * * * [progress]: simplifying candidates
15.562 * * * * [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))))>
15.562 * * * * [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))))>
15.562 * * * * [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))))))))>
15.562 * * * * [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))))))))>
15.562 * * * * [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))))))))>
15.562 * * * * [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))))))))>
15.562 * * * * [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))))))))>
15.563 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
15.563 * * [simplify]: iters left: 6 (8 enodes)
15.566 * * [simplify]: iters left: 5 (26 enodes)
15.573 * * [simplify]: Extracting #0: cost 1 inf + 0
15.573 * * [simplify]: Extracting #1: cost 4 inf + 0
15.573 * * [simplify]: Extracting #2: cost 7 inf + 0
15.573 * * [simplify]: Extracting #3: cost 10 inf + 0
15.573 * * [simplify]: Extracting #4: cost 14 inf + 0
15.573 * * [simplify]: Extracting #5: cost 10 inf + 84
15.573 * * [simplify]: Extracting #6: cost 8 inf + 166
15.574 * * [simplify]: Extracting #7: cost 4 inf + 854
15.574 * * [simplify]: Extracting #8: cost 1 inf + 1540
15.575 * * [simplify]: Extracting #9: cost 0 inf + 1782
15.575 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
15.575 * [simplify]: Simplified (2 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))))))))
15.575 * * * * [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))))))))>
15.576 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
15.576 * * [simplify]: iters left: 6 (7 enodes)
15.579 * * [simplify]: iters left: 5 (22 enodes)
15.585 * * [simplify]: Extracting #0: cost 1 inf + 0
15.585 * * [simplify]: Extracting #1: cost 3 inf + 0
15.585 * * [simplify]: Extracting #2: cost 5 inf + 0
15.585 * * [simplify]: Extracting #3: cost 8 inf + 0
15.585 * * [simplify]: Extracting #4: cost 12 inf + 0
15.585 * * [simplify]: Extracting #5: cost 10 inf + 2
15.585 * * [simplify]: Extracting #6: cost 1 inf + 936
15.586 * * [simplify]: Extracting #7: cost 0 inf + 1138
15.586 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
15.586 * [simplify]: Simplified (2 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))))))))
15.586 * * * * [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)))))))>
15.587 * [simplify]: Simplifying (sqrt 1)
15.587 * * [simplify]: iters left: 1 (2 enodes)
15.589 * * [simplify]: Extracting #0: cost 1 inf + 0
15.589 * * [simplify]: Extracting #1: cost 0 inf + 1
15.589 * [simplify]: Simplified to 1
15.590 * [simplify]: Simplified (2 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)))))))
15.590 * * * * [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)))))))))>
15.590 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
15.590 * * [simplify]: iters left: 6 (9 enodes)
15.593 * * [simplify]: iters left: 5 (45 enodes)
15.603 * * [simplify]: iters left: 4 (100 enodes)
15.630 * * [simplify]: iters left: 3 (201 enodes)
15.686 * * [simplify]: iters left: 2 (406 enodes)
15.852 * * [simplify]: Extracting #0: cost 1 inf + 0
15.852 * * [simplify]: Extracting #1: cost 3 inf + 0
15.852 * * [simplify]: Extracting #2: cost 6 inf + 0
15.852 * * [simplify]: Extracting #3: cost 62 inf + 0
15.853 * * [simplify]: Extracting #4: cost 166 inf + 460
15.856 * * [simplify]: Extracting #5: cost 131 inf + 12951
15.864 * * [simplify]: Extracting #6: cost 49 inf + 45746
15.880 * * [simplify]: Extracting #7: cost 1 inf + 66256
15.886 * * [simplify]: Extracting #8: cost 0 inf + 65919
15.891 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
15.891 * [simplify]: Simplified (2 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)))))))))
15.891 * * * * [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)))))))>
15.891 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
15.891 * * [simplify]: iters left: 6 (8 enodes)
15.893 * * [simplify]: iters left: 5 (37 enodes)
15.900 * * [simplify]: iters left: 4 (67 enodes)
15.911 * * [simplify]: iters left: 3 (123 enodes)
15.936 * * [simplify]: iters left: 2 (278 enodes)
16.043 * * [simplify]: Extracting #0: cost 1 inf + 0
16.043 * * [simplify]: Extracting #1: cost 3 inf + 0
16.043 * * [simplify]: Extracting #2: cost 50 inf + 0
16.044 * * [simplify]: Extracting #3: cost 150 inf + 0
16.045 * * [simplify]: Extracting #4: cost 194 inf + 1180
16.048 * * [simplify]: Extracting #5: cost 123 inf + 12421
16.054 * * [simplify]: Extracting #6: cost 12 inf + 33804
16.062 * * [simplify]: Extracting #7: cost 0 inf + 36129
16.069 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
16.070 * [simplify]: Simplified (2 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)))))))
16.070 * * * * [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)))))>
16.070 * [simplify]: Simplifying (+ (* c c) (* d d))
16.070 * * [simplify]: iters left: 4 (5 enodes)
16.072 * * [simplify]: iters left: 3 (16 enodes)
16.074 * * [simplify]: Extracting #0: cost 1 inf + 0
16.074 * * [simplify]: Extracting #1: cost 4 inf + 0
16.074 * * [simplify]: Extracting #2: cost 8 inf + 0
16.074 * * [simplify]: Extracting #3: cost 4 inf + 84
16.074 * * [simplify]: Extracting #4: cost 0 inf + 410
16.074 * [simplify]: Simplified to (+ (* c c) (* d d))
16.074 * [simplify]: Simplified (2 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)))))
16.074 * * * * [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))))))))>
16.074 * * * * [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)))))))>
16.074 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
16.074 * * [simplify]: iters left: 5 (6 enodes)
16.076 * * [simplify]: iters left: 4 (19 enodes)
16.078 * * [simplify]: Extracting #0: cost 1 inf + 0
16.078 * * [simplify]: Extracting #1: cost 3 inf + 0
16.078 * * [simplify]: Extracting #2: cost 6 inf + 0
16.078 * * [simplify]: Extracting #3: cost 10 inf + 0
16.078 * * [simplify]: Extracting #4: cost 6 inf + 84
16.078 * * [simplify]: Extracting #5: cost 0 inf + 734
16.078 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
16.078 * [simplify]: Simplified (2 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)))))))
16.079 * * * * [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)))))))>
16.079 * * * * [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))))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * * * * [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))))))>
16.079 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
16.079 * * [simplify]: iters left: 6 (8 enodes)
16.081 * * [simplify]: iters left: 5 (26 enodes)
16.084 * * [simplify]: Extracting #0: cost 1 inf + 0
16.084 * * [simplify]: Extracting #1: cost 4 inf + 0
16.084 * * [simplify]: Extracting #2: cost 7 inf + 0
16.084 * * [simplify]: Extracting #3: cost 10 inf + 0
16.084 * * [simplify]: Extracting #4: cost 14 inf + 0
16.084 * * [simplify]: Extracting #5: cost 10 inf + 84
16.084 * * [simplify]: Extracting #6: cost 8 inf + 166
16.084 * * [simplify]: Extracting #7: cost 4 inf + 854
16.085 * * [simplify]: Extracting #8: cost 1 inf + 1540
16.085 * * [simplify]: Extracting #9: cost 0 inf + 1782
16.085 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d))))
16.085 * [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))))))
16.086 * * * * [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))))))>
16.086 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
16.086 * * [simplify]: iters left: 6 (7 enodes)
16.087 * * [simplify]: iters left: 5 (22 enodes)
16.092 * * [simplify]: Extracting #0: cost 1 inf + 0
16.092 * * [simplify]: Extracting #1: cost 3 inf + 0
16.092 * * [simplify]: Extracting #2: cost 5 inf + 0
16.092 * * [simplify]: Extracting #3: cost 8 inf + 0
16.092 * * [simplify]: Extracting #4: cost 12 inf + 0
16.092 * * [simplify]: Extracting #5: cost 10 inf + 2
16.092 * * [simplify]: Extracting #6: cost 1 inf + 936
16.093 * * [simplify]: Extracting #7: cost 0 inf + 1138
16.093 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
16.093 * [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))))))
16.093 * * * * [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))))))>
16.094 * [simplify]: Simplifying (sqrt 1)
16.094 * * [simplify]: iters left: 1 (2 enodes)
16.102 * * [simplify]: Extracting #0: cost 1 inf + 0
16.102 * * [simplify]: Extracting #1: cost 0 inf + 1
16.102 * [simplify]: Simplified to 1
16.102 * [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))))))
16.102 * * * * [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))))))>
16.103 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
16.103 * * [simplify]: iters left: 6 (9 enodes)
16.108 * * [simplify]: iters left: 5 (45 enodes)
16.128 * * [simplify]: iters left: 4 (100 enodes)
16.172 * * [simplify]: iters left: 3 (201 enodes)
16.222 * * [simplify]: iters left: 2 (406 enodes)
16.356 * * [simplify]: Extracting #0: cost 1 inf + 0
16.357 * * [simplify]: Extracting #1: cost 3 inf + 0
16.357 * * [simplify]: Extracting #2: cost 6 inf + 0
16.357 * * [simplify]: Extracting #3: cost 62 inf + 0
16.357 * * [simplify]: Extracting #4: cost 166 inf + 460
16.359 * * [simplify]: Extracting #5: cost 131 inf + 12951
16.363 * * [simplify]: Extracting #6: cost 49 inf + 45746
16.372 * * [simplify]: Extracting #7: cost 1 inf + 66256
16.383 * * [simplify]: Extracting #8: cost 0 inf + 65919
16.393 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))
16.393 * [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))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
16.393 * * * * [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))))))>
16.394 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
16.394 * * [simplify]: iters left: 6 (8 enodes)
16.396 * * [simplify]: iters left: 5 (37 enodes)
16.406 * * [simplify]: iters left: 4 (67 enodes)
16.417 * * [simplify]: iters left: 3 (123 enodes)
16.452 * * [simplify]: iters left: 2 (278 enodes)
16.591 * * [simplify]: Extracting #0: cost 1 inf + 0
16.591 * * [simplify]: Extracting #1: cost 3 inf + 0
16.591 * * [simplify]: Extracting #2: cost 50 inf + 0
16.592 * * [simplify]: Extracting #3: cost 150 inf + 0
16.593 * * [simplify]: Extracting #4: cost 194 inf + 1180
16.595 * * [simplify]: Extracting #5: cost 123 inf + 12421
16.601 * * [simplify]: Extracting #6: cost 12 inf + 33804
16.609 * * [simplify]: Extracting #7: cost 0 inf + 36129
16.622 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
16.622 * [simplify]: Simplified (2 1 2 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))))))
16.622 * * * * [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))))))>
16.622 * [simplify]: Simplifying (+ (* c c) (* d d))
16.622 * * [simplify]: iters left: 4 (5 enodes)
16.625 * * [simplify]: iters left: 3 (16 enodes)
16.629 * * [simplify]: Extracting #0: cost 1 inf + 0
16.629 * * [simplify]: Extracting #1: cost 4 inf + 0
16.629 * * [simplify]: Extracting #2: cost 8 inf + 0
16.629 * * [simplify]: Extracting #3: cost 4 inf + 84
16.629 * * [simplify]: Extracting #4: cost 0 inf + 410
16.629 * [simplify]: Simplified to (+ (* c c) (* d d))
16.629 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (pow (+ (* c c) (* d d)) (/ 1 2))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
16.630 * * * * [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))))))>
16.630 * * * * [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))))))>
16.630 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
16.630 * * [simplify]: iters left: 5 (6 enodes)
16.633 * * [simplify]: iters left: 4 (19 enodes)
16.638 * * [simplify]: Extracting #0: cost 1 inf + 0
16.638 * * [simplify]: Extracting #1: cost 3 inf + 0
16.638 * * [simplify]: Extracting #2: cost 6 inf + 0
16.638 * * [simplify]: Extracting #3: cost 10 inf + 0
16.638 * * [simplify]: Extracting #4: cost 6 inf + 84
16.638 * * [simplify]: Extracting #5: cost 0 inf + 734
16.638 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
16.638 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (fabs (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
16.639 * * * * [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))))))>
16.639 * * * * [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))))))>
16.639 * * * * [progress]: [ 33 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1)))>
16.639 * * * * [progress]: [ 34 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))))))>
16.639 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
16.639 * * [simplify]: iters left: 6 (14 enodes)
16.645 * * [simplify]: iters left: 5 (48 enodes)
16.658 * * [simplify]: iters left: 4 (51 enodes)
16.671 * * [simplify]: Extracting #0: cost 1 inf + 0
16.671 * * [simplify]: Extracting #1: cost 5 inf + 0
16.671 * * [simplify]: Extracting #2: cost 10 inf + 0
16.671 * * [simplify]: Extracting #3: cost 15 inf + 0
16.671 * * [simplify]: Extracting #4: cost 24 inf + 0
16.671 * * [simplify]: Extracting #5: cost 19 inf + 129
16.672 * * [simplify]: Extracting #6: cost 11 inf + 931
16.672 * * [simplify]: Extracting #7: cost 4 inf + 2236
16.674 * * [simplify]: Extracting #8: cost 0 inf + 3476
16.675 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))
16.675 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))))))
16.675 * * * * [progress]: [ 35 / 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))))))))>
16.675 * * * * [progress]: [ 36 / 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))))))))>
16.675 * * * * [progress]: [ 37 / 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))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))))>
16.675 * [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)))))
16.676 * * [simplify]: iters left: 6 (16 enodes)
16.684 * * [simplify]: iters left: 5 (71 enodes)
16.716 * * [simplify]: iters left: 4 (220 enodes)
16.808 * * [simplify]: Extracting #0: cost 1 inf + 0
16.808 * * [simplify]: Extracting #1: cost 30 inf + 0
16.808 * * [simplify]: Extracting #2: cost 82 inf + 1
16.809 * * [simplify]: Extracting #3: cost 194 inf + 1
16.812 * * [simplify]: Extracting #4: cost 161 inf + 5363
16.825 * * [simplify]: Extracting #5: cost 29 inf + 35105
16.846 * * [simplify]: Extracting #6: cost 1 inf + 43538
16.866 * * [simplify]: Extracting #7: cost 0 inf + 43740
16.886 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))
16.886 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c))))))))
16.887 * * * * [progress]: [ 38 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))>
16.887 * * * * [progress]: [ 39 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))>
16.887 * * * * [progress]: [ 40 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))>
16.887 * * * * [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)))))))>
16.887 * * * * [progress]: [ 42 / 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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))))>
16.887 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
16.888 * * [simplify]: iters left: 6 (16 enodes)
16.895 * * [simplify]: iters left: 5 (58 enodes)
16.911 * * [simplify]: iters left: 4 (73 enodes)
16.931 * * [simplify]: iters left: 3 (80 enodes)
16.956 * * [simplify]: iters left: 2 (83 enodes)
16.970 * * [simplify]: Extracting #0: cost 1 inf + 0
16.971 * * [simplify]: Extracting #1: cost 11 inf + 0
16.971 * * [simplify]: Extracting #2: cost 22 inf + 0
16.971 * * [simplify]: Extracting #3: cost 27 inf + 0
16.971 * * [simplify]: Extracting #4: cost 36 inf + 0
16.971 * * [simplify]: Extracting #5: cost 33 inf + 46
16.971 * * [simplify]: Extracting #6: cost 14 inf + 2774
16.973 * * [simplify]: Extracting #7: cost 2 inf + 8296
16.974 * * [simplify]: Extracting #8: cost 0 inf + 9224
16.976 * [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))))))
16.976 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
16.976 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
16.976 * * [simplify]: iters left: 6 (14 enodes)
16.979 * * [simplify]: iters left: 5 (46 enodes)
16.985 * * [simplify]: Extracting #0: cost 1 inf + 0
16.985 * * [simplify]: Extracting #1: cost 4 inf + 0
16.985 * * [simplify]: Extracting #2: cost 8 inf + 0
16.985 * * [simplify]: Extracting #3: cost 13 inf + 0
16.985 * * [simplify]: Extracting #4: cost 22 inf + 0
16.985 * * [simplify]: Extracting #5: cost 17 inf + 129
16.985 * * [simplify]: Extracting #6: cost 8 inf + 992
16.986 * * [simplify]: Extracting #7: cost 2 inf + 2366
16.986 * * [simplify]: Extracting #8: cost 0 inf + 3012
16.986 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
16.987 * [simplify]: Simplified (2 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 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))))))
16.987 * * * * [progress]: [ 43 / 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)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))))))>
16.987 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
16.987 * * [simplify]: iters left: 6 (16 enodes)
16.990 * * [simplify]: iters left: 5 (55 enodes)
17.002 * * [simplify]: iters left: 4 (59 enodes)
17.017 * * [simplify]: iters left: 3 (62 enodes)
17.029 * * [simplify]: Extracting #0: cost 1 inf + 0
17.029 * * [simplify]: Extracting #1: cost 7 inf + 0
17.029 * * [simplify]: Extracting #2: cost 15 inf + 0
17.029 * * [simplify]: Extracting #3: cost 21 inf + 0
17.029 * * [simplify]: Extracting #4: cost 30 inf + 0
17.029 * * [simplify]: Extracting #5: cost 26 inf + 87
17.029 * * [simplify]: Extracting #6: cost 9 inf + 2370
17.030 * * [simplify]: Extracting #7: cost 1 inf + 5596
17.031 * * [simplify]: Extracting #8: cost 0 inf + 6080
17.032 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c)))))
17.032 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.032 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
17.032 * * [simplify]: iters left: 6 (14 enodes)
17.035 * * [simplify]: iters left: 5 (46 enodes)
17.041 * * [simplify]: Extracting #0: cost 1 inf + 0
17.041 * * [simplify]: Extracting #1: cost 4 inf + 0
17.041 * * [simplify]: Extracting #2: cost 8 inf + 0
17.041 * * [simplify]: Extracting #3: cost 13 inf + 0
17.041 * * [simplify]: Extracting #4: cost 22 inf + 0
17.041 * * [simplify]: Extracting #5: cost 17 inf + 129
17.041 * * [simplify]: Extracting #6: cost 8 inf + 992
17.042 * * [simplify]: Extracting #7: cost 2 inf + 2406
17.043 * * [simplify]: Extracting #8: cost 0 inf + 3092
17.043 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
17.043 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))))))
17.044 * * * * [progress]: [ 44 / 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)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.044 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.044 * * [simplify]: iters left: 6 (15 enodes)
17.047 * * [simplify]: iters left: 5 (51 enodes)
17.055 * * [simplify]: iters left: 4 (55 enodes)
17.070 * * [simplify]: iters left: 3 (58 enodes)
17.085 * * [simplify]: Extracting #0: cost 1 inf + 0
17.085 * * [simplify]: Extracting #1: cost 7 inf + 0
17.085 * * [simplify]: Extracting #2: cost 14 inf + 0
17.085 * * [simplify]: Extracting #3: cost 19 inf + 0
17.085 * * [simplify]: Extracting #4: cost 28 inf + 0
17.085 * * [simplify]: Extracting #5: cost 24 inf + 87
17.086 * * [simplify]: Extracting #6: cost 11 inf + 1518
17.087 * * [simplify]: Extracting #7: cost 1 inf + 4752
17.089 * * [simplify]: Extracting #8: cost 0 inf + 5196
17.090 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
17.090 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.091 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.091 * * [simplify]: iters left: 6 (14 enodes)
17.097 * * [simplify]: iters left: 5 (46 enodes)
17.109 * * [simplify]: Extracting #0: cost 1 inf + 0
17.109 * * [simplify]: Extracting #1: cost 4 inf + 0
17.109 * * [simplify]: Extracting #2: cost 8 inf + 0
17.109 * * [simplify]: Extracting #3: cost 13 inf + 0
17.109 * * [simplify]: Extracting #4: cost 22 inf + 0
17.109 * * [simplify]: Extracting #5: cost 17 inf + 129
17.110 * * [simplify]: Extracting #6: cost 8 inf + 992
17.110 * * [simplify]: Extracting #7: cost 2 inf + 2246
17.111 * * [simplify]: Extracting #8: cost 0 inf + 2852
17.112 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.112 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.113 * * * * [progress]: [ 45 / 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)))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))>
17.113 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
17.113 * * [simplify]: iters left: 6 (12 enodes)
17.121 * * [simplify]: iters left: 5 (43 enodes)
17.131 * * [simplify]: iters left: 4 (49 enodes)
17.138 * * [simplify]: iters left: 3 (53 enodes)
17.144 * * [simplify]: iters left: 2 (54 enodes)
17.153 * * [simplify]: Extracting #0: cost 1 inf + 0
17.153 * * [simplify]: Extracting #1: cost 5 inf + 0
17.153 * * [simplify]: Extracting #2: cost 7 inf + 1
17.153 * * [simplify]: Extracting #3: cost 10 inf + 1
17.153 * * [simplify]: Extracting #4: cost 16 inf + 1
17.153 * * [simplify]: Extracting #5: cost 10 inf + 89
17.154 * * [simplify]: Extracting #6: cost 3 inf + 1073
17.154 * * [simplify]: Extracting #7: cost 0 inf + 1807
17.155 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
17.155 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))
17.156 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
17.156 * * [simplify]: iters left: 6 (13 enodes)
17.161 * * [simplify]: iters left: 5 (43 enodes)
17.175 * * [simplify]: Extracting #0: cost 1 inf + 0
17.175 * * [simplify]: Extracting #1: cost 4 inf + 0
17.175 * * [simplify]: Extracting #2: cost 8 inf + 0
17.175 * * [simplify]: Extracting #3: cost 14 inf + 0
17.175 * * [simplify]: Extracting #4: cost 22 inf + 0
17.175 * * [simplify]: Extracting #5: cost 17 inf + 45
17.175 * * [simplify]: Extracting #6: cost 10 inf + 537
17.176 * * [simplify]: Extracting #7: cost 4 inf + 1232
17.176 * * [simplify]: Extracting #8: cost 1 inf + 1964
17.177 * * [simplify]: Extracting #9: cost 0 inf + 2368
17.178 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
17.178 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
17.178 * * * * [progress]: [ 46 / 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)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.179 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.179 * * [simplify]: iters left: 6 (15 enodes)
17.185 * * [simplify]: iters left: 5 (51 enodes)
17.199 * * [simplify]: iters left: 4 (55 enodes)
17.214 * * [simplify]: iters left: 3 (58 enodes)
17.230 * * [simplify]: Extracting #0: cost 1 inf + 0
17.230 * * [simplify]: Extracting #1: cost 7 inf + 0
17.230 * * [simplify]: Extracting #2: cost 14 inf + 0
17.230 * * [simplify]: Extracting #3: cost 19 inf + 0
17.230 * * [simplify]: Extracting #4: cost 28 inf + 0
17.230 * * [simplify]: Extracting #5: cost 24 inf + 87
17.231 * * [simplify]: Extracting #6: cost 11 inf + 1518
17.232 * * [simplify]: Extracting #7: cost 1 inf + 4752
17.234 * * [simplify]: Extracting #8: cost 0 inf + 5196
17.236 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))
17.236 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.236 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.236 * * [simplify]: iters left: 6 (14 enodes)
17.241 * * [simplify]: iters left: 5 (46 enodes)
17.247 * * [simplify]: Extracting #0: cost 1 inf + 0
17.247 * * [simplify]: Extracting #1: cost 4 inf + 0
17.247 * * [simplify]: Extracting #2: cost 8 inf + 0
17.247 * * [simplify]: Extracting #3: cost 13 inf + 0
17.247 * * [simplify]: Extracting #4: cost 22 inf + 0
17.247 * * [simplify]: Extracting #5: cost 17 inf + 129
17.247 * * [simplify]: Extracting #6: cost 8 inf + 992
17.248 * * [simplify]: Extracting #7: cost 2 inf + 2246
17.248 * * [simplify]: Extracting #8: cost 0 inf + 2852
17.249 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.249 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.249 * * * * [progress]: [ 47 / 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)))) 1) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))>
17.249 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)
17.249 * * [simplify]: iters left: 6 (11 enodes)
17.252 * * [simplify]: iters left: 5 (38 enodes)
17.258 * * [simplify]: iters left: 4 (48 enodes)
17.264 * * [simplify]: iters left: 3 (49 enodes)
17.270 * * [simplify]: Extracting #0: cost 1 inf + 0
17.270 * * [simplify]: Extracting #1: cost 5 inf + 0
17.270 * * [simplify]: Extracting #2: cost 7 inf + 1
17.270 * * [simplify]: Extracting #3: cost 10 inf + 1
17.270 * * [simplify]: Extracting #4: cost 16 inf + 1
17.270 * * [simplify]: Extracting #5: cost 11 inf + 47
17.270 * * [simplify]: Extracting #6: cost 5 inf + 828
17.271 * * [simplify]: Extracting #7: cost 0 inf + 1807
17.271 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
17.271 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))
17.271 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
17.271 * * [simplify]: iters left: 6 (13 enodes)
17.276 * * [simplify]: iters left: 5 (43 enodes)
17.289 * * [simplify]: Extracting #0: cost 1 inf + 0
17.289 * * [simplify]: Extracting #1: cost 4 inf + 0
17.289 * * [simplify]: Extracting #2: cost 8 inf + 0
17.289 * * [simplify]: Extracting #3: cost 14 inf + 0
17.289 * * [simplify]: Extracting #4: cost 22 inf + 0
17.289 * * [simplify]: Extracting #5: cost 17 inf + 45
17.290 * * [simplify]: Extracting #6: cost 10 inf + 537
17.290 * * [simplify]: Extracting #7: cost 4 inf + 1232
17.291 * * [simplify]: Extracting #8: cost 1 inf + 1964
17.291 * * [simplify]: Extracting #9: cost 0 inf + 2368
17.292 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
17.292 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
17.293 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))))))>
17.293 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
17.293 * * [simplify]: iters left: 6 (15 enodes)
17.299 * * [simplify]: iters left: 5 (51 enodes)
17.313 * * [simplify]: iters left: 4 (53 enodes)
17.327 * * [simplify]: Extracting #0: cost 1 inf + 0
17.327 * * [simplify]: Extracting #1: cost 6 inf + 0
17.327 * * [simplify]: Extracting #2: cost 12 inf + 0
17.327 * * [simplify]: Extracting #3: cost 17 inf + 0
17.328 * * [simplify]: Extracting #4: cost 26 inf + 0
17.328 * * [simplify]: Extracting #5: cost 22 inf + 87
17.328 * * [simplify]: Extracting #6: cost 14 inf + 707
17.329 * * [simplify]: Extracting #7: cost 7 inf + 1842
17.330 * * [simplify]: Extracting #8: cost 0 inf + 4384
17.331 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
17.331 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.332 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
17.332 * * [simplify]: iters left: 6 (14 enodes)
17.338 * * [simplify]: iters left: 5 (46 enodes)
17.350 * * [simplify]: Extracting #0: cost 1 inf + 0
17.350 * * [simplify]: Extracting #1: cost 4 inf + 0
17.350 * * [simplify]: Extracting #2: cost 8 inf + 0
17.350 * * [simplify]: Extracting #3: cost 13 inf + 0
17.350 * * [simplify]: Extracting #4: cost 22 inf + 0
17.351 * * [simplify]: Extracting #5: cost 17 inf + 129
17.351 * * [simplify]: Extracting #6: cost 8 inf + 912
17.352 * * [simplify]: Extracting #7: cost 2 inf + 2246
17.353 * * [simplify]: Extracting #8: cost 0 inf + 2852
17.354 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
17.354 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.354 * * * * [progress]: [ 49 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))))))>
17.355 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
17.355 * * [simplify]: iters left: 6 (15 enodes)
17.361 * * [simplify]: iters left: 5 (50 enodes)
17.371 * * [simplify]: Extracting #0: cost 1 inf + 0
17.371 * * [simplify]: Extracting #1: cost 4 inf + 0
17.371 * * [simplify]: Extracting #2: cost 9 inf + 0
17.371 * * [simplify]: Extracting #3: cost 15 inf + 0
17.371 * * [simplify]: Extracting #4: cost 24 inf + 0
17.372 * * [simplify]: Extracting #5: cost 20 inf + 87
17.372 * * [simplify]: Extracting #6: cost 12 inf + 707
17.372 * * [simplify]: Extracting #7: cost 5 inf + 1842
17.373 * * [simplify]: Extracting #8: cost 0 inf + 3416
17.373 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d)))))
17.373 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))))))
17.373 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
17.373 * * [simplify]: iters left: 6 (14 enodes)
17.376 * * [simplify]: iters left: 5 (46 enodes)
17.382 * * [simplify]: Extracting #0: cost 1 inf + 0
17.382 * * [simplify]: Extracting #1: cost 4 inf + 0
17.382 * * [simplify]: Extracting #2: cost 8 inf + 0
17.382 * * [simplify]: Extracting #3: cost 13 inf + 0
17.382 * * [simplify]: Extracting #4: cost 22 inf + 0
17.382 * * [simplify]: Extracting #5: cost 17 inf + 129
17.382 * * [simplify]: Extracting #6: cost 8 inf + 912
17.382 * * [simplify]: Extracting #7: cost 2 inf + 2286
17.383 * * [simplify]: Extracting #8: cost 0 inf + 2932
17.383 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
17.383 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
17.384 * * * * [progress]: [ 50 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.384 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.384 * * [simplify]: iters left: 6 (14 enodes)
17.387 * * [simplify]: iters left: 5 (46 enodes)
17.392 * * [simplify]: Extracting #0: cost 1 inf + 0
17.392 * * [simplify]: Extracting #1: cost 4 inf + 0
17.392 * * [simplify]: Extracting #2: cost 8 inf + 0
17.392 * * [simplify]: Extracting #3: cost 13 inf + 0
17.392 * * [simplify]: Extracting #4: cost 22 inf + 0
17.393 * * [simplify]: Extracting #5: cost 17 inf + 129
17.393 * * [simplify]: Extracting #6: cost 8 inf + 912
17.393 * * [simplify]: Extracting #7: cost 2 inf + 2126
17.394 * * [simplify]: Extracting #8: cost 0 inf + 2692
17.394 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.394 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.394 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.394 * * [simplify]: iters left: 6 (14 enodes)
17.398 * * [simplify]: iters left: 5 (46 enodes)
17.404 * * [simplify]: Extracting #0: cost 1 inf + 0
17.404 * * [simplify]: Extracting #1: cost 4 inf + 0
17.404 * * [simplify]: Extracting #2: cost 8 inf + 0
17.404 * * [simplify]: Extracting #3: cost 13 inf + 0
17.404 * * [simplify]: Extracting #4: cost 22 inf + 0
17.404 * * [simplify]: Extracting #5: cost 17 inf + 129
17.404 * * [simplify]: Extracting #6: cost 8 inf + 912
17.405 * * [simplify]: Extracting #7: cost 2 inf + 2126
17.405 * * [simplify]: Extracting #8: cost 0 inf + 2692
17.405 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.406 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.406 * * * * [progress]: [ 51 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))>
17.406 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
17.406 * * [simplify]: iters left: 6 (11 enodes)
17.409 * * [simplify]: iters left: 5 (38 enodes)
17.414 * * [simplify]: iters left: 4 (40 enodes)
17.423 * * [simplify]: iters left: 3 (42 enodes)
17.433 * * [simplify]: Extracting #0: cost 1 inf + 0
17.433 * * [simplify]: Extracting #1: cost 4 inf + 0
17.433 * * [simplify]: Extracting #2: cost 6 inf + 1
17.433 * * [simplify]: Extracting #3: cost 12 inf + 1
17.433 * * [simplify]: Extracting #4: cost 7 inf + 47
17.434 * * [simplify]: Extracting #5: cost 0 inf + 749
17.434 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
17.434 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))
17.435 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
17.435 * * [simplify]: iters left: 6 (13 enodes)
17.440 * * [simplify]: iters left: 5 (43 enodes)
17.451 * * [simplify]: Extracting #0: cost 1 inf + 0
17.451 * * [simplify]: Extracting #1: cost 4 inf + 0
17.452 * * [simplify]: Extracting #2: cost 8 inf + 0
17.452 * * [simplify]: Extracting #3: cost 14 inf + 0
17.452 * * [simplify]: Extracting #4: cost 22 inf + 0
17.452 * * [simplify]: Extracting #5: cost 17 inf + 45
17.452 * * [simplify]: Extracting #6: cost 10 inf + 537
17.453 * * [simplify]: Extracting #7: cost 4 inf + 1192
17.453 * * [simplify]: Extracting #8: cost 1 inf + 1844
17.454 * * [simplify]: Extracting #9: cost 0 inf + 2208
17.455 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
17.455 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
17.455 * * * * [progress]: [ 52 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.456 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.456 * * [simplify]: iters left: 6 (14 enodes)
17.459 * * [simplify]: iters left: 5 (46 enodes)
17.464 * * [simplify]: Extracting #0: cost 1 inf + 0
17.465 * * [simplify]: Extracting #1: cost 4 inf + 0
17.465 * * [simplify]: Extracting #2: cost 8 inf + 0
17.465 * * [simplify]: Extracting #3: cost 13 inf + 0
17.465 * * [simplify]: Extracting #4: cost 22 inf + 0
17.465 * * [simplify]: Extracting #5: cost 17 inf + 129
17.465 * * [simplify]: Extracting #6: cost 8 inf + 912
17.465 * * [simplify]: Extracting #7: cost 2 inf + 2126
17.466 * * [simplify]: Extracting #8: cost 0 inf + 2692
17.466 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.466 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.466 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.466 * * [simplify]: iters left: 6 (14 enodes)
17.469 * * [simplify]: iters left: 5 (46 enodes)
17.475 * * [simplify]: Extracting #0: cost 1 inf + 0
17.475 * * [simplify]: Extracting #1: cost 4 inf + 0
17.475 * * [simplify]: Extracting #2: cost 8 inf + 0
17.475 * * [simplify]: Extracting #3: cost 13 inf + 0
17.475 * * [simplify]: Extracting #4: cost 22 inf + 0
17.475 * * [simplify]: Extracting #5: cost 17 inf + 129
17.475 * * [simplify]: Extracting #6: cost 8 inf + 912
17.476 * * [simplify]: Extracting #7: cost 2 inf + 2126
17.476 * * [simplify]: Extracting #8: cost 0 inf + 2692
17.477 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
17.477 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.477 * * * * [progress]: [ 53 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))>
17.477 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1)
17.477 * * [simplify]: iters left: 6 (10 enodes)
17.479 * * [simplify]: iters left: 5 (33 enodes)
17.484 * * [simplify]: iters left: 4 (35 enodes)
17.488 * * [simplify]: Extracting #0: cost 1 inf + 0
17.489 * * [simplify]: Extracting #1: cost 4 inf + 0
17.489 * * [simplify]: Extracting #2: cost 6 inf + 1
17.489 * * [simplify]: Extracting #3: cost 12 inf + 1
17.489 * * [simplify]: Extracting #4: cost 7 inf + 47
17.489 * * [simplify]: Extracting #5: cost 0 inf + 749
17.489 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
17.489 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))))
17.490 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
17.490 * * [simplify]: iters left: 6 (13 enodes)
17.498 * * [simplify]: iters left: 5 (43 enodes)
17.509 * * [simplify]: Extracting #0: cost 1 inf + 0
17.509 * * [simplify]: Extracting #1: cost 4 inf + 0
17.509 * * [simplify]: Extracting #2: cost 8 inf + 0
17.509 * * [simplify]: Extracting #3: cost 14 inf + 0
17.509 * * [simplify]: Extracting #4: cost 22 inf + 0
17.509 * * [simplify]: Extracting #5: cost 17 inf + 45
17.510 * * [simplify]: Extracting #6: cost 10 inf + 537
17.510 * * [simplify]: Extracting #7: cost 4 inf + 1192
17.511 * * [simplify]: Extracting #8: cost 1 inf + 1844
17.512 * * [simplify]: Extracting #9: cost 0 inf + 2208
17.512 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
17.512 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
17.513 * * * * [progress]: [ 54 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))))))>
17.513 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
17.513 * * [simplify]: iters left: 6 (10 enodes)
17.518 * * [simplify]: iters left: 5 (35 enodes)
17.529 * * [simplify]: iters left: 4 (39 enodes)
17.540 * * [simplify]: Extracting #0: cost 1 inf + 0
17.540 * * [simplify]: Extracting #1: cost 6 inf + 0
17.540 * * [simplify]: Extracting #2: cost 9 inf + 1
17.540 * * [simplify]: Extracting #3: cost 11 inf + 1
17.540 * * [simplify]: Extracting #4: cost 14 inf + 1
17.540 * * [simplify]: Extracting #5: cost 18 inf + 1
17.541 * * [simplify]: Extracting #6: cost 16 inf + 3
17.541 * * [simplify]: Extracting #7: cost 11 inf + 289
17.541 * * [simplify]: Extracting #8: cost 6 inf + 1219
17.542 * * [simplify]: Extracting #9: cost 0 inf + 2995
17.543 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
17.543 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))))))
17.543 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
17.543 * * [simplify]: iters left: 6 (13 enodes)
17.549 * * [simplify]: iters left: 5 (43 enodes)
17.560 * * [simplify]: Extracting #0: cost 1 inf + 0
17.560 * * [simplify]: Extracting #1: cost 4 inf + 0
17.560 * * [simplify]: Extracting #2: cost 9 inf + 0
17.560 * * [simplify]: Extracting #3: cost 17 inf + 0
17.561 * * [simplify]: Extracting #4: cost 16 inf + 4
17.561 * * [simplify]: Extracting #5: cost 12 inf + 334
17.561 * * [simplify]: Extracting #6: cost 5 inf + 1108
17.562 * * [simplify]: Extracting #7: cost 1 inf + 2040
17.563 * * [simplify]: Extracting #8: cost 0 inf + 2444
17.563 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))
17.563 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))))))
17.564 * * * * [progress]: [ 55 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))))>
17.564 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
17.564 * * [simplify]: iters left: 6 (10 enodes)
17.569 * * [simplify]: iters left: 5 (34 enodes)
17.579 * * [simplify]: iters left: 4 (36 enodes)
17.589 * * [simplify]: Extracting #0: cost 1 inf + 0
17.589 * * [simplify]: Extracting #1: cost 4 inf + 0
17.590 * * [simplify]: Extracting #2: cost 6 inf + 1
17.590 * * [simplify]: Extracting #3: cost 9 inf + 1
17.590 * * [simplify]: Extracting #4: cost 12 inf + 1
17.590 * * [simplify]: Extracting #5: cost 16 inf + 1
17.590 * * [simplify]: Extracting #6: cost 14 inf + 3
17.590 * * [simplify]: Extracting #7: cost 10 inf + 248
17.591 * * [simplify]: Extracting #8: cost 2 inf + 1824
17.592 * * [simplify]: Extracting #9: cost 0 inf + 2349
17.592 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
17.592 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))))
17.593 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
17.593 * * [simplify]: iters left: 6 (13 enodes)
17.598 * * [simplify]: iters left: 5 (43 enodes)
17.610 * * [simplify]: Extracting #0: cost 1 inf + 0
17.610 * * [simplify]: Extracting #1: cost 4 inf + 0
17.610 * * [simplify]: Extracting #2: cost 9 inf + 0
17.610 * * [simplify]: Extracting #3: cost 17 inf + 0
17.610 * * [simplify]: Extracting #4: cost 16 inf + 4
17.611 * * [simplify]: Extracting #5: cost 12 inf + 334
17.611 * * [simplify]: Extracting #6: cost 5 inf + 1148
17.612 * * [simplify]: Extracting #7: cost 1 inf + 2120
17.612 * * [simplify]: Extracting #8: cost 0 inf + 2524
17.613 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))
17.613 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))))))
17.614 * * * * [progress]: [ 56 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.614 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
17.614 * * [simplify]: iters left: 6 (9 enodes)
17.618 * * [simplify]: iters left: 5 (30 enodes)
17.627 * * [simplify]: iters left: 4 (32 enodes)
17.636 * * [simplify]: Extracting #0: cost 1 inf + 0
17.636 * * [simplify]: Extracting #1: cost 4 inf + 0
17.636 * * [simplify]: Extracting #2: cost 5 inf + 1
17.636 * * [simplify]: Extracting #3: cost 7 inf + 1
17.636 * * [simplify]: Extracting #4: cost 10 inf + 1
17.636 * * [simplify]: Extracting #5: cost 14 inf + 1
17.636 * * [simplify]: Extracting #6: cost 12 inf + 3
17.636 * * [simplify]: Extracting #7: cost 8 inf + 248
17.636 * * [simplify]: Extracting #8: cost 4 inf + 775
17.637 * * [simplify]: Extracting #9: cost 0 inf + 1625
17.638 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
17.638 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.638 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
17.638 * * [simplify]: iters left: 6 (13 enodes)
17.643 * * [simplify]: iters left: 5 (43 enodes)
17.657 * * [simplify]: Extracting #0: cost 1 inf + 0
17.657 * * [simplify]: Extracting #1: cost 4 inf + 0
17.657 * * [simplify]: Extracting #2: cost 9 inf + 0
17.658 * * [simplify]: Extracting #3: cost 17 inf + 0
17.658 * * [simplify]: Extracting #4: cost 16 inf + 4
17.658 * * [simplify]: Extracting #5: cost 12 inf + 334
17.658 * * [simplify]: Extracting #6: cost 5 inf + 1068
17.659 * * [simplify]: Extracting #7: cost 1 inf + 1920
17.660 * * [simplify]: Extracting #8: cost 0 inf + 2284
17.661 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
17.661 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.661 * * * * [progress]: [ 57 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))>
17.661 * [simplify]: Simplifying (/ 1 (sqrt 1))
17.661 * * [simplify]: iters left: 3 (3 enodes)
17.667 * * [simplify]: iters left: 2 (11 enodes)
17.670 * * [simplify]: iters left: 1 (13 enodes)
17.673 * * [simplify]: Extracting #0: cost 1 inf + 0
17.673 * * [simplify]: Extracting #1: cost 0 inf + 1
17.673 * [simplify]: Simplified to 1
17.673 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))
17.674 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
17.674 * * [simplify]: iters left: 6 (12 enodes)
17.679 * * [simplify]: iters left: 5 (40 enodes)
17.688 * * [simplify]: Extracting #0: cost 1 inf + 0
17.688 * * [simplify]: Extracting #1: cost 4 inf + 0
17.689 * * [simplify]: Extracting #2: cost 9 inf + 0
17.689 * * [simplify]: Extracting #3: cost 18 inf + 0
17.689 * * [simplify]: Extracting #4: cost 11 inf + 372
17.689 * * [simplify]: Extracting #5: cost 1 inf + 1476
17.690 * * [simplify]: Extracting #6: cost 0 inf + 1800
17.690 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
17.690 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))
17.691 * * * * [progress]: [ 58 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))))>
17.691 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
17.691 * * [simplify]: iters left: 6 (9 enodes)
17.695 * * [simplify]: iters left: 5 (30 enodes)
17.702 * * [simplify]: iters left: 4 (32 enodes)
17.712 * * [simplify]: Extracting #0: cost 1 inf + 0
17.712 * * [simplify]: Extracting #1: cost 4 inf + 0
17.712 * * [simplify]: Extracting #2: cost 5 inf + 1
17.712 * * [simplify]: Extracting #3: cost 7 inf + 1
17.712 * * [simplify]: Extracting #4: cost 10 inf + 1
17.712 * * [simplify]: Extracting #5: cost 14 inf + 1
17.712 * * [simplify]: Extracting #6: cost 12 inf + 3
17.712 * * [simplify]: Extracting #7: cost 8 inf + 248
17.713 * * [simplify]: Extracting #8: cost 4 inf + 775
17.713 * * [simplify]: Extracting #9: cost 0 inf + 1625
17.714 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
17.714 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.714 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
17.714 * * [simplify]: iters left: 6 (13 enodes)
17.719 * * [simplify]: iters left: 5 (43 enodes)
17.729 * * [simplify]: Extracting #0: cost 1 inf + 0
17.729 * * [simplify]: Extracting #1: cost 4 inf + 0
17.729 * * [simplify]: Extracting #2: cost 9 inf + 0
17.729 * * [simplify]: Extracting #3: cost 17 inf + 0
17.729 * * [simplify]: Extracting #4: cost 16 inf + 4
17.729 * * [simplify]: Extracting #5: cost 12 inf + 334
17.730 * * [simplify]: Extracting #6: cost 5 inf + 1068
17.730 * * [simplify]: Extracting #7: cost 1 inf + 1920
17.731 * * [simplify]: Extracting #8: cost 0 inf + 2284
17.732 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
17.732 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))
17.732 * * * * [progress]: [ 59 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 1) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))>
17.732 * [simplify]: Simplifying (/ 1 1)
17.732 * * [simplify]: iters left: 2 (2 enodes)
17.734 * * [simplify]: iters left: 1 (6 enodes)
17.737 * * [simplify]: Extracting #0: cost 1 inf + 0
17.737 * * [simplify]: Extracting #1: cost 0 inf + 1
17.737 * [simplify]: Simplified to 1
17.737 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))
17.737 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
17.737 * * [simplify]: iters left: 6 (12 enodes)
17.741 * * [simplify]: iters left: 5 (40 enodes)
17.751 * * [simplify]: Extracting #0: cost 1 inf + 0
17.751 * * [simplify]: Extracting #1: cost 4 inf + 0
17.751 * * [simplify]: Extracting #2: cost 9 inf + 0
17.751 * * [simplify]: Extracting #3: cost 18 inf + 0
17.751 * * [simplify]: Extracting #4: cost 11 inf + 372
17.751 * * [simplify]: Extracting #5: cost 1 inf + 1476
17.752 * * [simplify]: Extracting #6: cost 0 inf + 1800
17.753 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
17.753 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))
17.753 * * * * [progress]: [ 60 / 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)))))))>
17.753 * * * * [progress]: [ 61 / 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)))))))>
17.753 * * * * [progress]: [ 62 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))>
17.753 * * * * [progress]: [ 63 / 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)))))))>
17.753 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
17.753 * * [simplify]: iters left: 6 (7 enodes)
17.756 * * [simplify]: iters left: 5 (22 enodes)
17.761 * * [simplify]: Extracting #0: cost 1 inf + 0
17.761 * * [simplify]: Extracting #1: cost 3 inf + 0
17.761 * * [simplify]: Extracting #2: cost 5 inf + 0
17.761 * * [simplify]: Extracting #3: cost 8 inf + 0
17.761 * * [simplify]: Extracting #4: cost 12 inf + 0
17.761 * * [simplify]: Extracting #5: cost 10 inf + 2
17.762 * * [simplify]: Extracting #6: cost 1 inf + 976
17.762 * * [simplify]: Extracting #7: cost 0 inf + 1218
17.762 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
17.762 * [simplify]: Simplified (2 2 2) to (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)))))))
17.763 * * * * [progress]: [ 64 / 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)))))))>
17.763 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
17.763 * * [simplify]: iters left: 6 (7 enodes)
17.765 * * [simplify]: iters left: 5 (22 enodes)
17.770 * * [simplify]: Extracting #0: cost 1 inf + 0
17.771 * * [simplify]: Extracting #1: cost 3 inf + 0
17.771 * * [simplify]: Extracting #2: cost 5 inf + 0
17.771 * * [simplify]: Extracting #3: cost 8 inf + 0
17.771 * * [simplify]: Extracting #4: cost 12 inf + 0
17.771 * * [simplify]: Extracting #5: cost 10 inf + 2
17.771 * * [simplify]: Extracting #6: cost 1 inf + 1056
17.771 * * [simplify]: Extracting #7: cost 0 inf + 1298
17.772 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
17.772 * [simplify]: Simplified (2 2 2) to (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)))))))
17.772 * * * * [progress]: [ 65 / 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)))))))>
17.772 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
17.772 * * [simplify]: iters left: 6 (7 enodes)
17.775 * * [simplify]: iters left: 5 (22 enodes)
17.780 * * [simplify]: Extracting #0: cost 1 inf + 0
17.780 * * [simplify]: Extracting #1: cost 3 inf + 0
17.780 * * [simplify]: Extracting #2: cost 5 inf + 0
17.780 * * [simplify]: Extracting #3: cost 8 inf + 0
17.780 * * [simplify]: Extracting #4: cost 12 inf + 0
17.780 * * [simplify]: Extracting #5: cost 10 inf + 2
17.780 * * [simplify]: Extracting #6: cost 1 inf + 936
17.781 * * [simplify]: Extracting #7: cost 0 inf + 1138
17.781 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
17.781 * [simplify]: Simplified (2 2 2) 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)))))))
17.781 * * * * [progress]: [ 66 / 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))))))>
17.781 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
17.781 * * [simplify]: iters left: 5 (6 enodes)
17.782 * * [simplify]: iters left: 4 (19 enodes)
17.787 * * [simplify]: Extracting #0: cost 1 inf + 0
17.787 * * [simplify]: Extracting #1: cost 3 inf + 0
17.787 * * [simplify]: Extracting #2: cost 6 inf + 0
17.787 * * [simplify]: Extracting #3: cost 10 inf + 0
17.787 * * [simplify]: Extracting #4: cost 6 inf + 84
17.787 * * [simplify]: Extracting #5: cost 0 inf + 734
17.787 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
17.787 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d))))))
17.787 * * * * [progress]: [ 67 / 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)))))))>
17.787 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
17.787 * * [simplify]: iters left: 6 (7 enodes)
17.789 * * [simplify]: iters left: 5 (22 enodes)
17.792 * * [simplify]: Extracting #0: cost 1 inf + 0
17.792 * * [simplify]: Extracting #1: cost 3 inf + 0
17.792 * * [simplify]: Extracting #2: cost 5 inf + 0
17.792 * * [simplify]: Extracting #3: cost 8 inf + 0
17.792 * * [simplify]: Extracting #4: cost 12 inf + 0
17.792 * * [simplify]: Extracting #5: cost 10 inf + 2
17.792 * * [simplify]: Extracting #6: cost 1 inf + 936
17.792 * * [simplify]: Extracting #7: cost 0 inf + 1138
17.792 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
17.792 * [simplify]: Simplified (2 2 2) 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)))))))
17.792 * * * * [progress]: [ 68 / 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))))))>
17.793 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d)))
17.793 * * [simplify]: iters left: 5 (6 enodes)
17.794 * * [simplify]: iters left: 4 (19 enodes)
17.796 * * [simplify]: Extracting #0: cost 1 inf + 0
17.796 * * [simplify]: Extracting #1: cost 3 inf + 0
17.796 * * [simplify]: Extracting #2: cost 6 inf + 0
17.796 * * [simplify]: Extracting #3: cost 10 inf + 0
17.797 * * [simplify]: Extracting #4: cost 6 inf + 84
17.797 * * [simplify]: Extracting #5: cost 0 inf + 734
17.797 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d)))
17.797 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d))))))
17.797 * * * * [progress]: [ 69 / 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)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))>
17.797 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
17.797 * * [simplify]: iters left: 6 (9 enodes)
17.799 * * [simplify]: iters left: 5 (30 enodes)
17.803 * * [simplify]: Extracting #0: cost 1 inf + 0
17.803 * * [simplify]: Extracting #1: cost 3 inf + 0
17.803 * * [simplify]: Extracting #2: cost 5 inf + 0
17.803 * * [simplify]: Extracting #3: cost 8 inf + 0
17.803 * * [simplify]: Extracting #4: cost 14 inf + 0
17.803 * * [simplify]: Extracting #5: cost 9 inf + 46
17.803 * * [simplify]: Extracting #6: cost 4 inf + 500
17.803 * * [simplify]: Extracting #7: cost 1 inf + 1072
17.804 * * [simplify]: Extracting #8: cost 0 inf + 1316
17.804 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
17.804 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))))
17.804 * * * * [progress]: [ 70 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))))>
17.804 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d)))
17.804 * * [simplify]: iters left: 5 (8 enodes)
17.806 * * [simplify]: iters left: 4 (27 enodes)
17.809 * * [simplify]: Extracting #0: cost 1 inf + 0
17.809 * * [simplify]: Extracting #1: cost 3 inf + 0
17.809 * * [simplify]: Extracting #2: cost 6 inf + 0
17.809 * * [simplify]: Extracting #3: cost 12 inf + 0
17.810 * * [simplify]: Extracting #4: cost 8 inf + 4
17.810 * * [simplify]: Extracting #5: cost 1 inf + 584
17.810 * * [simplify]: Extracting #6: cost 0 inf + 748
17.810 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c)))
17.810 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))))
17.810 * * * * [progress]: [ 71 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))))>
17.810 * * * * [progress]: [ 72 / 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))))))))>
17.810 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
17.810 * * [simplify]: iters left: 6 (10 enodes)
17.813 * * [simplify]: iters left: 5 (52 enodes)
17.830 * * [simplify]: iters left: 4 (119 enodes)
17.876 * * [simplify]: iters left: 3 (234 enodes)
17.945 * * [simplify]: iters left: 2 (366 enodes)
18.103 * * [simplify]: Extracting #0: cost 1 inf + 0
18.103 * * [simplify]: Extracting #1: cost 3 inf + 0
18.103 * * [simplify]: Extracting #2: cost 22 inf + 0
18.104 * * [simplify]: Extracting #3: cost 148 inf + 0
18.106 * * [simplify]: Extracting #4: cost 202 inf + 2230
18.113 * * [simplify]: Extracting #5: cost 83 inf + 22274
18.127 * * [simplify]: Extracting #6: cost 1 inf + 35108
18.141 * * [simplify]: Extracting #7: cost 0 inf + 35040
18.156 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))
18.156 * [simplify]: Simplified (2 2 2) to (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 (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))))))
18.156 * * * * [progress]: [ 73 / 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))))))>
18.157 * [simplify]: Simplifying (sqrt (- (* c c) (* d d)))
18.157 * * [simplify]: iters left: 5 (6 enodes)
18.159 * * [simplify]: iters left: 4 (23 enodes)
18.166 * * [simplify]: iters left: 3 (36 enodes)
18.176 * * [simplify]: iters left: 2 (53 enodes)
18.193 * * [simplify]: iters left: 1 (94 enodes)
18.224 * * [simplify]: Extracting #0: cost 1 inf + 0
18.224 * * [simplify]: Extracting #1: cost 3 inf + 0
18.225 * * [simplify]: Extracting #2: cost 32 inf + 0
18.225 * * [simplify]: Extracting #3: cost 48 inf + 0
18.225 * * [simplify]: Extracting #4: cost 42 inf + 247
18.225 * * [simplify]: Extracting #5: cost 18 inf + 3412
18.227 * * [simplify]: Extracting #6: cost 0 inf + 5728
18.228 * * [simplify]: Extracting #7: cost 0 inf + 5448
18.229 * [simplify]: Simplified to (sqrt (- (* c c) (* d d)))
18.229 * [simplify]: Simplified (2 2 2) 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))))))
18.229 * * * * [progress]: [ 74 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))))))>
18.230 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3))
18.230 * * [simplify]: iters left: 5 (10 enodes)
18.233 * * [simplify]: iters left: 4 (52 enodes)
18.244 * * [simplify]: iters left: 3 (145 enodes)
18.299 * * [simplify]: iters left: 2 (335 enodes)
18.423 * * [simplify]: Extracting #0: cost 1 inf + 0
18.424 * * [simplify]: Extracting #1: cost 4 inf + 0
18.424 * * [simplify]: Extracting #2: cost 51 inf + 0
18.424 * * [simplify]: Extracting #3: cost 124 inf + 950
18.426 * * [simplify]: Extracting #4: cost 89 inf + 8397
18.429 * * [simplify]: Extracting #5: cost 14 inf + 28399
18.433 * * [simplify]: Extracting #6: cost 1 inf + 33494
18.437 * * [simplify]: Extracting #7: cost 0 inf + 33747
18.441 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c))))
18.441 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))
18.441 * * * * [progress]: [ 75 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))))))>
18.441 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d)))
18.441 * * [simplify]: iters left: 6 (9 enodes)
18.443 * * [simplify]: iters left: 5 (48 enodes)
18.451 * * [simplify]: iters left: 4 (111 enodes)
18.488 * * [simplify]: iters left: 3 (181 enodes)
18.540 * * [simplify]: iters left: 2 (262 enodes)
18.610 * * [simplify]: iters left: 1 (473 enodes)
18.808 * * [simplify]: Extracting #0: cost 1 inf + 0
18.808 * * [simplify]: Extracting #1: cost 22 inf + 0
18.808 * * [simplify]: Extracting #2: cost 110 inf + 0
18.810 * * [simplify]: Extracting #3: cost 142 inf + 1440
18.818 * * [simplify]: Extracting #4: cost 41 inf + 15973
18.831 * * [simplify]: Extracting #5: cost 0 inf + 23364
18.845 * * [simplify]: Extracting #6: cost 0 inf + 23124
18.858 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d)))
18.859 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))))))
18.859 * * * * [progress]: [ 76 / 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))))))))>
18.859 * * * * [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))))))>
18.859 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d)))
18.859 * * [simplify]: iters left: 5 (9 enodes)
18.863 * * [simplify]: iters left: 4 (36 enodes)
18.873 * * [simplify]: iters left: 3 (55 enodes)
18.890 * * [simplify]: iters left: 2 (91 enodes)
18.908 * * [simplify]: iters left: 1 (191 enodes)
18.986 * * [simplify]: Extracting #0: cost 1 inf + 0
18.986 * * [simplify]: Extracting #1: cost 38 inf + 0
18.987 * * [simplify]: Extracting #2: cost 150 inf + 0
18.988 * * [simplify]: Extracting #3: cost 173 inf + 772
18.990 * * [simplify]: Extracting #4: cost 148 inf + 4628
18.995 * * [simplify]: Extracting #5: cost 93 inf + 18511
19.007 * * [simplify]: Extracting #6: cost 27 inf + 61555
19.023 * * [simplify]: Extracting #7: cost 0 inf + 82217
19.038 * [simplify]: Simplified to (exp (+ (* a c) (* b d)))
19.038 * [simplify]: Simplified (2 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (log (exp (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))))
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.038 * * * * [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))))))>
19.039 * * * * [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))))))>
19.039 * * * * [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))))))>
19.039 * * * * [progress]: [ 89 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) d)))>
19.039 * [simplify]: Simplifying d
19.039 * * [simplify]: iters left: 0 (1 enodes)
19.039 * * [simplify]: Extracting #0: cost 1 inf + 0
19.039 * * [simplify]: Extracting #1: cost 0 inf + 1
19.039 * [simplify]: Simplified to d
19.039 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) d)))
19.039 * * * * [progress]: [ 90 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) c)))>
19.039 * [simplify]: Simplifying c
19.039 * * [simplify]: iters left: 0 (1 enodes)
19.040 * * [simplify]: Extracting #0: cost 1 inf + 0
19.040 * * [simplify]: Extracting #1: cost 0 inf + 1
19.040 * [simplify]: Simplified to c
19.040 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) c)))
19.040 * * * * [progress]: [ 91 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (* -1 c))))>
19.040 * [simplify]: Simplifying (* -1 c)
19.040 * * [simplify]: iters left: 2 (3 enodes)
19.041 * * [simplify]: iters left: 1 (11 enodes)
19.043 * * [simplify]: Extracting #0: cost 1 inf + 0
19.043 * * [simplify]: Extracting #1: cost 4 inf + 0
19.043 * * [simplify]: Extracting #2: cost 0 inf + 84
19.043 * [simplify]: Simplified to (- c)
19.043 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (- c))))
19.043 * * * * [progress]: [ 92 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 d) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
19.043 * [simplify]: Simplifying d
19.043 * * [simplify]: iters left: 0 (1 enodes)
19.043 * * [simplify]: Extracting #0: cost 1 inf + 0
19.043 * * [simplify]: Extracting #1: cost 0 inf + 1
19.043 * [simplify]: Simplified to d
19.043 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 d) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
19.043 * * * * [progress]: [ 93 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 c) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
19.043 * [simplify]: Simplifying c
19.043 * * [simplify]: iters left: 0 (1 enodes)
19.044 * * [simplify]: Extracting #0: cost 1 inf + 0
19.044 * * [simplify]: Extracting #1: cost 0 inf + 1
19.044 * [simplify]: Simplified to c
19.044 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 c) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
19.044 * * * * [progress]: [ 94 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (* -1 c)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))>
19.044 * [simplify]: Simplifying (* -1 c)
19.044 * * [simplify]: iters left: 2 (3 enodes)
19.045 * * [simplify]: iters left: 1 (11 enodes)
19.046 * * [simplify]: Extracting #0: cost 1 inf + 0
19.046 * * [simplify]: Extracting #1: cost 4 inf + 0
19.047 * * [simplify]: Extracting #2: cost 0 inf + 84
19.047 * [simplify]: Simplified to (- c)
19.047 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 (- c)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
19.047 * * * * [progress]: [ 95 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) b))>
19.047 * [simplify]: Simplifying b
19.047 * * [simplify]: iters left: 0 (1 enodes)
19.047 * * [simplify]: Extracting #0: cost 1 inf + 0
19.047 * * [simplify]: Extracting #1: cost 0 inf + 1
19.047 * [simplify]: Simplified to b
19.047 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) b))
19.047 * * * * [progress]: [ 96 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) a))>
19.048 * [simplify]: Simplifying a
19.048 * * [simplify]: iters left: 0 (1 enodes)
19.048 * * [simplify]: Extracting #0: cost 1 inf + 0
19.048 * * [simplify]: Extracting #1: cost 0 inf + 1
19.048 * [simplify]: Simplified to a
19.048 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) a))
19.048 * * * * [progress]: [ 97 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* -1 a)))>
19.048 * [simplify]: Simplifying (* -1 a)
19.048 * * [simplify]: iters left: 2 (3 enodes)
19.049 * * [simplify]: iters left: 1 (11 enodes)
19.051 * * [simplify]: Extracting #0: cost 1 inf + 0
19.051 * * [simplify]: Extracting #1: cost 4 inf + 0
19.051 * * [simplify]: Extracting #2: cost 0 inf + 84
19.051 * [simplify]: Simplified to (- a)
19.051 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (- a)))
19.051 * * * * [progress]: [ 98 / 100 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 0 (sqrt (+ (* c c) (* d d))))))>
19.051 * [simplify]: Simplifying 0
19.051 * * [simplify]: iters left: 0 (1 enodes)
19.052 * * [simplify]: Extracting #0: cost 1 inf + 0
19.052 * * [simplify]: Extracting #1: cost 0 inf + 1
19.052 * [simplify]: Simplified to 0
19.052 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 0 (sqrt (+ (* c c) (* d d))))))
19.052 * * * * [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))))))>
19.052 * [simplify]: Simplifying (+ (* a c) (* b d))
19.052 * * [simplify]: iters left: 4 (7 enodes)
19.054 * * [simplify]: iters left: 3 (24 enodes)
19.057 * * [simplify]: Extracting #0: cost 1 inf + 0
19.057 * * [simplify]: Extracting #1: cost 4 inf + 0
19.057 * * [simplify]: Extracting #2: cost 10 inf + 0
19.057 * * [simplify]: Extracting #3: cost 6 inf + 4
19.057 * * [simplify]: Extracting #4: cost 1 inf + 296
19.057 * * [simplify]: Extracting #5: cost 0 inf + 420
19.057 * [simplify]: Simplified to (+ (* b d) (* a c))
19.057 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))
19.058 * * * * [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))))))>
19.058 * [simplify]: Simplifying (+ (* a c) (* b d))
19.058 * * [simplify]: iters left: 4 (7 enodes)
19.059 * * [simplify]: iters left: 3 (24 enodes)
19.062 * * [simplify]: Extracting #0: cost 1 inf + 0
19.062 * * [simplify]: Extracting #1: cost 4 inf + 0
19.062 * * [simplify]: Extracting #2: cost 10 inf + 0
19.062 * * [simplify]: Extracting #3: cost 6 inf + 4
19.062 * * [simplify]: Extracting #4: cost 1 inf + 296
19.062 * * [simplify]: Extracting #5: cost 0 inf + 420
19.062 * [simplify]: Simplified to (+ (* b d) (* a c))
19.062 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))
19.063 * * * [progress]: adding candidates to table
20.363 * [progress]: [Phase 3 of 3] Extracting.
20.363 * * [regime]: Finding splitpoints for: (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.365 * * * [regime-changes]: Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
20.365 * * * * [regimes]: Trying to branch on d from (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.470 * * * * [regimes]: Trying to branch on b from (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.606 * * * * [regimes]: Trying to branch on c from (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.737 * * * * [regimes]: Trying to branch on a from (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.828 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
20.960 * * * [regime]: Found split indices: #<option (#s(si 8 34) #s(si 7 255))>
20.961 * [binary-search]: Improving bounds with binary search for c and (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
21.022 * [regimes]: Found splitpoints: (#s(sp 8 c -2.9064590122309793e+107) #s(sp 7 c +nan.0)) , with alts (#<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))> #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> #<alt (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (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 (sqrt (+ (* c c) (* d d)))) a))> #<alt (λ (a b c d) (posit16->real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> #<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)))))> #<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) (/ (- a) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>)
21.022 * [simplify]: Simplifying (if (<= c -2.9064590122309793e+107) (/ (- a) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
21.022 * * [simplify]: iters left: 6 (18 enodes)
21.023 * * [simplify]: iters left: 5 (24 enodes)
21.024 * * [simplify]: Extracting #0: cost 1 inf + 0
21.024 * * [simplify]: Extracting #1: cost 4 inf + 0
21.024 * * [simplify]: Extracting #2: cost 10 inf + 0
21.024 * * [simplify]: Extracting #3: cost 11 inf + 2
21.024 * * [simplify]: Extracting #4: cost 13 inf + 70
21.024 * * [simplify]: Extracting #5: cost 12 inf + 194
21.024 * * [simplify]: Extracting #6: cost 8 inf + 279
21.024 * * [simplify]: Extracting #7: cost 4 inf + 1011
21.024 * * [simplify]: Extracting #8: cost 1 inf + 1821
21.025 * * [simplify]: Extracting #9: cost 0 inf + 2396
21.025 * [simplify]: Simplified to (if (<= c -2.9064590122309793e+107) (/ (- a) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
24.233 * [regime-testing]: Baseline error score: 25.676827468934174
24.235 * [regime-testing]: Oracle error score: 23.21279335092962
24.241 * [regime-testing]: End program error score: 25.56535410764485
24.355 * [regime-testing]: Target error score: 0.5019346606236781