* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 20 additional inputs, on iter 1 have 236 / 256
* * * * [misc]points:  Computing exacts for 20 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ (* b d) (pow d 2)) into (/ b d)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ (* a c) (pow c 2)) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ (* a c) (pow c 2)) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ d (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ d (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ a (pow c 3))) in a
* [misc]taylor:  Taking taylor expansion of (/ a (pow c 3)) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow c 3) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 3 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 3 in a
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 3 (log c)) into (* 3 (log c))
* [misc]backup-simplify:  Simplify (exp (* 3 (log c))) into (pow c 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* b d) (* a c)) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 d)) (/ 1 (/ 1 b)))))) (* 1 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (* 1 1))))) into (+ (* a c) (* b d))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- d))) (/ 1 (/ 1 (- b))))))) (* 1 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (* 1 1))))) into (+ (* a c) (* b d))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 62 ] simplifiying candidate #<alt (λ (a b c d) (pow (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 1))>
* * * * [misc]progress:  [ 2 / 62 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 3 / 62 ] simplifiying candidate #<alt (λ (a b c d) (exp (log (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 4 / 62 ] simplifiying candidate #<alt (λ (a b c d) (log (exp (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 5 / 62 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) 3)))
* * * * [misc]progress:  [ 6 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 7 / 62 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (* (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 8 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 9 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (+ (* b d) (* a c))) (- (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 10 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 11 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) 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))))))
* * * * [misc]progress:  [ 12 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 13 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) 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))))))
* * * * [misc]progress:  [ 14 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) 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))))))
* * * * [misc]progress:  [ 15 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) 1) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 16 / 62 ] simplifiying candidate #<alt (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))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) 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))))))
* * * * [misc]progress:  [ 17 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 18 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 1) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 19 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 20 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 21 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* b d) (* a c)))))>
* * * * [misc]progress:  [ 22 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 23 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 24 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) 1) (+ (* c c) (* d d))))>
* [enter]simplify:  Simplifying (+ (* c c) (* d d))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* c c) (* d d))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) 1) (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 25 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* b d) (* a c))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* b d) (* a c))))))
* * * * [misc]progress:  [ 26 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* b d) (* a c))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (+ (* c c) (* d d)) (sqrt (+ (* b d) (* a c))))))
* * * * [misc]progress:  [ 27 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (+ (* c c) (* d d)) (+ (* b d) (* a c)))))>
* * * * [misc]progress:  [ 28 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* [exit]simplify:  Simplified to (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))))
* * * * [misc]progress:  [ 29 / 62 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (- (* c c) (* d d))))>
* [enter]simplify:  Simplifying (- (* c c) (* d d))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ c d) (- c d))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d))))
* * * * [misc]progress:  [ 30 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (pow (* b d) 3) (pow (* a c) 3)) (* (+ (* c c) (* d d)) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))))>
* [enter]simplify:  Simplifying (+ (pow (* b d) 3) (pow (* a c) 3))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a c) 3) (pow (* b d) 3))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (+ (* c c) (* d d)) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))))
* * * * [misc]progress:  [ 31 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (* (* b d) (* b d)) (* (* a c) (* a c))) (* (+ (* c c) (* d d)) (- (* b d) (* a c)))))>
* [enter]simplify:  Simplifying (- (* (* b d) (* b d)) (* (* a c) (* a c)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (* (+ (* b d) (* a c)) (- (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (* (+ (* c c) (* d d)) (- (* b d) (* a c)))))
* * * * [misc]progress:  [ 32 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (log (* (exp (* c c)) (exp (* d d))))))>
* [enter]simplify:  Simplifying (* (exp (* c c)) (exp (* d d)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (log (exp (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 33 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (pow (+ (* c c) (* d d)) 1)))>
* * * * [misc]progress:  [ 34 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (exp (log (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 35 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (log (exp (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 36 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (* (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 37 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (cbrt (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 38 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 39 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (+ (pow (* c c) 3) (pow (* d d) 3)) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 40 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (* 1 (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 41 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (- (* (* c c) (* c c)) (* (* d d) (* d d))) (- (* c c) (* d d)))))>
* * * * [misc]progress:  [ 42 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))>
* * * * [misc]progress:  [ 43 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (* (exp (* b d)) (exp (* a c)))) (+ (* c c) (* d d))))>
* [enter]simplify:  Simplifying (* (exp (* b d)) (exp (* a c)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (exp (+ (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* b d) (* a c)))) (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 44 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (+ (* b d) (* a c)) 1) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 45 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (+ (* b d) (* a c)))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 46 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (+ (* b d) (* a c)))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 47 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (cbrt (+ (* b d) (* a c)))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 48 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c)))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 49 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (sqrt (+ (* b d) (* a c)))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 50 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (pow (* b d) 3) (pow (* a c) 3)) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 51 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (+ (* b d) (* a c))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 52 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (* (* b d) (* b d)) (* (* a c) (* a c))) (- (* b d) (* a c))) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 53 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
* * * * [misc]progress:  [ 54 / 62 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 55 / 62 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 56 / 62 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 57 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (pow d 2) (pow c 2))))>
* [enter]simplify:  Simplifying (+ (pow d 2) (pow c 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* d d) (* c c))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))
* * * * [misc]progress:  [ 58 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (pow c 2) (pow d 2))))>
* [enter]simplify:  Simplifying (+ (pow c 2) (pow d 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* c c) (* d d))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 59 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (pow c 2) (pow d 2))))>
* [enter]simplify:  Simplifying (+ (pow c 2) (pow d 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* c c) (* d d))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 60 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ 0 (+ (* c c) (* d d))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 61 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
* [enter]simplify:  Simplifying (+ (* a c) (* b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* b d) (* a c))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
* * * * [misc]progress:  [ 62 / 62 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))>
* [enter]simplify:  Simplifying (+ (* a c) (* b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* b d) (* a c))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (* b d) d) into b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) c) into a
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (/ 1 c)) into a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]backup-simplify:  Simplify (- (/ d (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 (/ 1 c)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (* 0 (/ 1 c))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (/ 1 c))) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ 1 (pow c 4)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 4))) (pow 0 2) (+)) (* 2 (/ 1 c))) into (/ -1/2 (pow c 3))
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) (/ -1/2 (pow c 3))) (+ (* 0 0) (* 0 (/ 1 c)))) into (- (* 1/2 (/ a (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* a (* 1 1)))) into a
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (* b d) d) into b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (/ b d) into (/ b d)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) c) into a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (/ a c) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ (* a c) (pow c 2)) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]backup-simplify:  Simplify (- (/ d (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]backup-simplify:  Simplify (- (/ (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ d (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ a (pow c 3))) in a
* [misc]taylor:  Taking taylor expansion of (/ a (pow c 3)) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow c 3) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 3 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 3 in a
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 3 (log c)) into (* 3 (log c))
* [misc]backup-simplify:  Simplify (exp (* 3 (log c))) into (pow c 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]backup-simplify:  Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]backup-simplify:  Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (pow (+ (* c c) (* d d)) 1/2)))>
* * * * [misc]progress:  [ 2 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
* * * * [misc]progress:  [ 3 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 4 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 5 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 6 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 7 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 8 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 9 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 10 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (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))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
* * * * [misc]progress:  [ 11 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))
* * * * [misc]progress:  [ 12 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 13 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 14 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 15 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (pow (+ (* c c) (* d d)) 1/2)) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 16 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (pow (sqrt (+ (* c c) (* d d))) 1)) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 17 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (exp (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 18 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (log (exp (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 19 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 20 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 21 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 22 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 23 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 24 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (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)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 25 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 26 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 27 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 28 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 29 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 30 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 31 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 32 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 33 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a c) (* b d)) (/ (+ (* d d) (* c c)) (+ (* a c) (* b d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (/ (+ (* a c) (* b d)) (/ (+ (* d d) (* c c)) (+ (* a c) (* b d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 34 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 35 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 36 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 37 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (+ (* b d) (* a c))) (- (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 38 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (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)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (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)))))
* * * * [misc]progress:  [ 39 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (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)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 40 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 41 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 42 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 43 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (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)))))
* * * * [misc]progress:  [ 44 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (* (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)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 45 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (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)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 46 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 47 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 48 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 49 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) 1) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (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)))))
* * * * [misc]progress:  [ 50 / 274 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 51 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 52 / 274 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 53 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 54 / 274 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) 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)))))
* * * * [misc]progress:  [ 55 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 1) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 56 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 57 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 58 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 59 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 60 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 61 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 62 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 63 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 64 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 65 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* * * * [misc]progress:  [ 66 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 1) 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)))))
* * * * [misc]progress:  [ 67 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 68 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (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)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 69 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 70 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (pow (* b d) 3) (pow (* a c) 3)) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (pow (* b d) 3) (pow (* a c) 3))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a c) 3) (pow (* b d) 3))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 71 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- (* (* b d) (* b d)) (* (* a c) (* a c))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- (* (* b d) (* b d)) (* (* a c) (* a c)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (* (+ (* b d) (* a c)) (- (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 72 / 274 ] simplifiying candidate #<alt (λ (a b c d) (pow (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) 1))>
* * * * [misc]progress:  [ 73 / 274 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (- (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 74 / 274 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 75 / 274 ] simplifiying candidate #<alt (λ (a b c d) (exp (log (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 76 / 274 ] simplifiying candidate #<alt (λ (a b c d) (log (exp (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 77 / 274 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (199 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))))))
* * * * [misc]progress:  [ 78 / 274 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (* (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)))
* * * * [misc]progress:  [ 79 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 80 / 274 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (* (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 81 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 82 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (- (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 83 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 84 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (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))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (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))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 85 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (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))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 86 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (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))))) (sqrt 1))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 87 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (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))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 88 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 1) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (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 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 89 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 90 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 91 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 92 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 93 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 94 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) 1) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 95 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 96 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 97 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 98 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 99 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 100 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 101 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 102 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 103 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 104 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt 1) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt 1) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt 1) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 105 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 106 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 107 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 108 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 109 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 110 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 111 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 112 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 113 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) 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)))) (sqrt 1))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 114 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 115 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 116 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 117 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 118 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 119 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 120 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 121 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 122 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 123 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 124 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 125 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 126 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 127 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 128 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt 1)) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt 1))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 129 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 130 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) 1) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 131 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 132 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 133 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 134 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (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))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 135 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 136 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 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 (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 137 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 138 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))
* [misc]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 (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 139 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 140 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 141 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 142 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 143 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 144 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 145 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 146 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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 (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 147 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 148 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 149 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 150 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 151 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 152 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) 1)
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 153 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 154 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 155 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 156 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 157 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 158 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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 (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 159 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (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))))))
* * * * [misc]progress:  [ 160 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 161 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 162 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 163 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 164 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 165 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 166 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) 1) 1) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 167 / 274 ] 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)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 168 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 169 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 170 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt 1))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 171 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 172 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 173 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 174 / 274 ] 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))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) 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))))))
* * * * [misc]progress:  [ 175 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 176 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 177 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 178 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 179 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 180 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 181 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 182 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 183 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 184 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 185 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 186 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 187 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 188 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 1) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 1) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 189 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 190 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 191 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 192 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 193 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 194 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 195 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 196 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) 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))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 197 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 198 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 199 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 200 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 201 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 202 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ 1 1) 1) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 203 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 204 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 205 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 206 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt 1)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 207 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 208 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ 1 1) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 209 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 210 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 211 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 212 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt 1)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt 1)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt 1)) (/ 1 (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 213 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 214 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) 1) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 215 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 216 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 217 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 218 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 219 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 220 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 221 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (210 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 222 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 223 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 224 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 225 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 226 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
* [misc]simplify:  Simplified (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))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 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))))))
* * * * [misc]progress:  [ 227 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 228 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 229 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 230 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 231 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 232 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 233 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 234 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 235 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 236 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (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)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 237 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 238 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 239 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 240 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 241 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 242 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 243 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1) 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)))))))
* * * * [misc]progress:  [ 244 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 245 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 246 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 247 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 248 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 249 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) 1) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* b d) (* a c))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1) 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)))))))
* * * * [misc]progress:  [ 250 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 251 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 252 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 253 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt 1)) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 254 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 255 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 256 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 257 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 258 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
* * * * [misc]progress:  [ 259 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))
* [misc]simplify:  Simplified (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))))))
* * * * [misc]progress:  [ 260 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (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)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))))
* * * * [misc]progress:  [ 261 / 274 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))))
* * * * [misc]progress:  [ 262 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 263 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) d))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) d))
* * * * [misc]progress:  [ 264 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) c))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) c))
* * * * [misc]progress:  [ 265 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* -1 c)))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (- c)))
* * * * [misc]progress:  [ 266 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) d) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) d) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 267 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) c) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) c) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 268 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* -1 c)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (- c)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 269 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying a
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 270 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying b
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to b
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 271 / 274 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 b) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 b)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- b)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 272 / 274 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 273 / 274 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 274 / 274 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (/ 1 c)) into a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 (/ 1 c)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (* 0 (/ 1 c))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* 0 (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (+ (* d 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (/ 1 c))) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ 1 (pow c 4)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 4))) (pow 0 2) (+)) (* 2 (/ 1 c))) into (/ -1/2 (pow c 3))
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) (/ -1/2 (pow c 3))) (+ (* 0 0) (* 0 (/ 1 c)))) into (- (* 1/2 (/ a (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* a (* 1 1)))) into a
* [misc]approximate:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b
* [misc]approximate:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of 1/2 in a
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (* (* b d) (/ 1 d)) into b
* [misc]backup-simplify:  Simplify (/ b d) into (/ b d)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b d) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (/ 1 c)) into a
* [misc]backup-simplify:  Simplify (/ a c) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]backup-simplify:  Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]backup-simplify:  Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ (* a c) (pow c 2)) into (/ a c)
* [misc]taylor:  Taking taylor expansion of (/ a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ d 0) into d
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]backup-simplify:  Simplify (- (/ (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ d (+ (pow c 2) (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* 0 (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* a c) 0) (+ (* d 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ a (pow c 3))) in a
* [misc]taylor:  Taking taylor expansion of (/ a (pow c 3)) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow c 3) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 3 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 3 in a
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 3 (log c)) into (* 3 (log c))
* [misc]backup-simplify:  Simplify (exp (* 3 (log c))) into (pow c 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]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))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]backup-simplify:  Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b d a c) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ (/ 1 a) 1) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]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))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (/ 1 b) 1) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 0)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]backup-simplify:  Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d
* [misc]taylor:  Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow c 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* c 1) into c
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (/ 1 (* a c)) into (/ 1 (* a c))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 c)) into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log c))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow c 2))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 2)) in a
* [misc]taylor:  Taking taylor expansion of (pow c 2) in a
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log c))) in a
* [misc]taylor:  Taking taylor expansion of (* 2 (log c)) in a
* [misc]taylor:  Taking taylor expansion of 2 in a
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (log c) into (log c)
* [misc]backup-simplify:  Simplify (* 2 (log c)) into (* 2 (log c))
* [misc]backup-simplify:  Simplify (exp (* 2 (log c))) into (pow c 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2))
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log c)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (+ (* c c) (* d d)) 1/2)))>
* * * * [misc]progress:  [ 2 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
* * * * [misc]progress:  [ 3 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 4 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 5 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 6 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 7 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 8 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 9 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 10 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 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))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
* * * * [misc]progress:  [ 11 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))
* * * * [misc]progress:  [ 12 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 13 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 14 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 15 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (pow (+ (* c c) (* d d)) 1/2))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 16 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (pow (sqrt (+ (* c c) (* d d))) 1))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 17 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (exp (log (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 18 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (log (exp (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 19 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 20 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 21 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 22 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 23 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 24 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 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)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 25 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 26 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 27 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 28 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 29 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (pow (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 30 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 31 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (+ (log (+ (* b d) (* a c))) (- (log (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (log (+ (* b d) (* a c))) (- (log (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 32 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (+ (log (+ (* b d) (* a c))) (log (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (log (+ (* b d) (* a c))) (log (/ 1 (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 33 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 34 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 35 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (* (* (/ 1 (sqrt (+ (* d d) (* c c)))) (pow (+ (* a c) (* b d)) 3)) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (* (/ 1 (sqrt (+ (* d d) (* c c)))) (pow (+ (* a c) (* b d)) 3)) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 36 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 37 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 38 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 39 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (pow (* b d) 3) (pow (* a c) 3)) 1) (* (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (+ (pow (* b d) 3) (pow (* a c) 3)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a c) 3) (pow (* b d) 3))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (* (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* d d) (* c c))) (+ (* (* b d) (* b d)) (* (* a c) (- (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (+ (* d d) (* c c))) (+ (* (* b d) (* b d)) (* (* a c) (- (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 40 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) 1) (* (- (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (- (* b d) (* a c)) (+ (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (- (* b d) (* a c)) (+ (* b d) (* a c))) (* (- (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (* (- (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (- (* b d) (* a c)) (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 41 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 42 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 43 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (* (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)))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (* (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)))))
* * * * [misc]progress:  [ 44 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 45 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 46 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 47 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (/ 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)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 48 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 49 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* b d) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* b d) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 50 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* b d) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (* (sqrt (+ (* b d) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 51 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 52 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 53 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (pow (* b d) 3) (pow (* a c) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (+ (pow (* b d) 3) (pow (* a c) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (sqrt (+ (* d d) (* c c))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (sqrt (+ (* d d) (* c c)))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 54 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d))))) (- (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (sqrt (+ (* d d) (* c c))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (- (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 55 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 56 / 103 ] simplifiying candidate #<alt (λ (a b c d) (pow (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) 1))>
* * * * [misc]progress:  [ 57 / 103 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (+ (log (+ (* b d) (* a c))) (- (log (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (- (+ (log (+ (* b d) (* a c))) (- (log (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 58 / 103 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (+ (log (+ (* b d) (* a c))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (- (+ (log (+ (* b d) (* a c))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* d d) (* c c))))) (log (sqrt (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* d d) (* c c))))) (log (sqrt (+ (* d d) (* c c)))))))
* * * * [misc]progress:  [ 59 / 103 ] simplifiying candidate #<alt (λ (a b c d) (exp (- (log (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (- (log (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))))))
* * * * [misc]progress:  [ 60 / 103 ] simplifiying candidate #<alt (λ (a b c d) (exp (log (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 61 / 103 ] simplifiying candidate #<alt (λ (a b c d) (log (exp (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 62 / 103 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (* (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c)))))))
* * * * [misc]progress:  [ 63 / 103 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (/ (* (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (* (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (164 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3)))
* * * * [misc]progress:  [ 64 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (* (cbrt (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 65 / 103 ] simplifiying candidate #<alt (λ (a b c d) (cbrt (* (* (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 66 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (sqrt (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 67 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (- (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (- (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 68 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 69 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 70 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 71 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt 1)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt 1)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt 1)) (/ 1 (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 72 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 73 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) 1) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (/ (+ (* b d) (* a c)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 74 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* 1 (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 75 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 76 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))))))>
* * * * [misc]progress:  [ 77 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 78 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 79 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 80 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 81 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 82 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 83 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 84 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (+ (* b d) (* a c)) (/ 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)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))))
* * * * [misc]progress:  [ 85 / 103 ] simplifiying candidate #<alt (λ (a b c d) (* (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))))
* * * * [misc]progress:  [ 86 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (pow (* b d) 3) (pow (* a c) 3)) 1) (* (sqrt (+ (* c c) (* d d))) (* (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (* (+ (pow (* b d) 3) (pow (* a c) 3)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a c) 3) (pow (* b d) 3))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (+ (* c c) (* d d))) (* (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 87 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) 1) (* (sqrt (+ (* c c) (* d d))) (* (- (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (- (* b d) (* a c)) (+ (* b d) (* a c)))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (* (- (* b d) (* a c)) (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (* (- (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 88 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 89 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) 1) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (* (+ (* b d) (* a c)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 90 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (pow (* b d) 3) (pow (* a c) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))))>
* [enter]simplify:  Simplifying (* (+ (pow (* b d) 3) (pow (* a c) 3)) (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (sqrt (+ (* d d) (* c c))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))))
* * * * [misc]progress:  [ 91 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))))>
* [enter]simplify:  Simplifying (* (- (* (* b d) (* b d)) (* (* a c) (* a c))) (/ 1 (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (sqrt (+ (* d d) (* c c))))
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))))
* * * * [misc]progress:  [ 92 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) d))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) d))
* * * * [misc]progress:  [ 93 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) c))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) c))
* * * * [misc]progress:  [ 94 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* -1 c)))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (- c)))
* * * * [misc]progress:  [ 95 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 d)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 d)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 96 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 c)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 c)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 97 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (* -1 c))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (- c))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 98 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying a
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 99 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying b
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to b
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 100 / 103 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 b) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 b)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- b)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 101 / 103 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 102 / 103 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * * [misc]progress:  [ 103 / 103 ] simplifiying candidate #<alt (λ (a b c d) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (a b c d) 0)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 d) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* d 1)) into d
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* b d)) into (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* a c)) into (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ c (* a c)) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ d (* b d)) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ d (* b d)) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 1) (* 0 0)) into a
* [misc]backup-simplify:  Simplify (+ 0 a) into a
* [misc]backup-simplify:  Simplify (- (/ 0 (* b d)) (+ (* (/ 1 b) (/ a (* b d))))) into (- (/ a (* (pow b 2) d)))
* [misc]taylor:  Taking taylor expansion of (- (/ a (* (pow b 2) d))) in d
* [misc]taylor:  Taking taylor expansion of (/ a (* (pow b 2) d)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) d) in d
* [misc]taylor:  Taking taylor expansion of (pow b 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (log b) into (log b)
* [misc]backup-simplify:  Simplify (* 2 (log b)) into (* 2 (log b))
* [misc]backup-simplify:  Simplify (exp (* 2 (log b))) into (pow b 2)
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow b 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log b))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 1) (* 0 0)) into (pow b 2)
* [misc]backup-simplify:  Simplify (/ a (pow b 2)) into (/ a (pow b 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log b)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 d) (* b d)) (+ (* (/ 1 b) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) d))) (/ a (* b d))))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (/ (pow a 2) (* (pow b 3) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (pow a 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log a)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* 2 (log a)) into (* 2 (log a))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a))) into (pow a 2)
* [misc]taylor:  Taking taylor expansion of (* (pow b 3) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow b 3) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log b))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (log b)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (log b) into (log b)
* [misc]backup-simplify:  Simplify (* 3 (log b)) into (* 3 (log b))
* [misc]backup-simplify:  Simplify (exp (* 3 (log b))) into (pow b 3)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* (pow b 3) 1) into (pow b 3)
* [misc]backup-simplify:  Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* b (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* b 1) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log b))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log b)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
* [misc]taylor:  Taking taylor expansion of (/ (pow a 2) (* b d)) in d
* [misc]taylor:  Taking taylor expansion of (pow a 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log a)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* 2 (log a)) into (* 2 (log a))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a))) into (pow a 2)
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ a 1) into a
* [misc]taylor:  Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (pow a 3) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* 3 (log a)) into (* 3 (log a))
* [misc]backup-simplify:  Simplify (exp (* 3 (log a))) into (pow a 3)
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow b 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (log b) into (log b)
* [misc]backup-simplify:  Simplify (* 2 (log b)) into (* 2 (log b))
* [misc]backup-simplify:  Simplify (exp (* 2 (log b))) into (pow b 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* (pow b 2) 1) into (pow b 2)
* [misc]backup-simplify:  Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log a)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log b))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log b)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
* [misc]taylor:  Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d
* [misc]taylor:  Taking taylor expansion of (/ (pow a 2) (* b d)) in d
* [misc]taylor:  Taking taylor expansion of (pow a 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log a)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* 2 (log a)) into (* 2 (log a))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a))) into (pow a 2)
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ (pow a 2) b) into (/ (pow a 2) b)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ a 1) into a
* [misc]taylor:  Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (pow a 3) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* 3 (log a)) into (* 3 (log a))
* [misc]backup-simplify:  Simplify (exp (* 3 (log a))) into (pow a 3)
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of (pow b 2) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in d
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (log b) into (log b)
* [misc]backup-simplify:  Simplify (* 2 (log b)) into (* 2 (log b))
* [misc]backup-simplify:  Simplify (exp (* 2 (log b))) into (pow b 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* (pow b 2) 1) into (pow b 2)
* [misc]backup-simplify:  Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log a)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log b))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log b)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in a
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in a
* [misc]taylor:  Taking taylor expansion of (* c c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in a
* [misc]taylor:  Taking taylor expansion of (* b d) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 0 c) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* b d)) into (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2))))
* [misc]backup-simplify:  Simplify (/ 1 (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2))))) into (* (* d b) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in b
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in b
* [misc]taylor:  Taking taylor expansion of (* c c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2)))
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in b
* [misc]taylor:  Taking taylor expansion of (* b d) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* a c)) into (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2))))
* [misc]backup-simplify:  Simplify (/ 1 (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in d
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in d
* [misc]taylor:  Taking taylor expansion of (* c c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]taylor:  Taking taylor expansion of (* d d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* c c) into (pow c 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow c 2) 0) into (pow c 2)
* [misc]backup-simplify:  Simplify (sqrt (pow c 2)) into c
* [misc]backup-simplify:  Simplify (+ (* c 0) (* 0 c)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a c) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* a c) into (* a c)
* [misc]backup-simplify:  Simplify (+ 0 (* a c)) into (* a c)
* [misc]backup-simplify:  Simplify (/ c (* a c)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ d (* b d)) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* c c) (* d d)) in c
* [misc]taylor:  Taking taylor expansion of (* c c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* d d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* d d) into (pow d 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow d 2)) into (pow d 2)
* [misc]backup-simplify:  Simplify (sqrt (pow d 2)) into d
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* d 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* b d) (* a c)) in c
* [misc]taylor:  Taking taylor expansion of (* b d) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (* a c) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b d) 0) into (* b d)
* [misc]backup-simplify:  Simplify (/ d (* b d)) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ (* a 1) (* 0 0)) into a
* [misc]backup-simplify:  Simplify (+ 0 a) into a
* [misc]backup-simplify:  Simplify (- (/ 0 (* b d)) (+ (* (/ 1 b) (/ a (* b d))))) into (- (/ a (* (pow b 2) d)))
* [misc]backup-simplify:  Simplify (- (+ (* b (/ (- (/ a (* (pow b 2) d))) (/ 1 b))))) into (/ a d)
* [misc]taylor:  Taking taylor expansion of (/ a d) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ a 1) into a
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in a
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 d) (* b d)) (+ (* (/ 1 b) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) d))) (/ a (* b d))))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* b (/ (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) (/ 1 b))) (* (/ a d) (/ (- (/ a (* (pow b 2) d))) (/ 1 b))))) into (- (* 1/2 (/ b (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ b (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (/ b 1) into b
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* b (* 1 1)))) into b
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in a
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]backup-simplify:  Simplify (/ 1 (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)
* [misc]backup-simplify:  Simplify (/ 1 (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in d
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (/ 1 c) into (/ 1 c)
* [misc]backup-simplify:  Simplify (* (/ 1 b) 1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 a) 1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* a (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* a (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* a 1) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* b (pow d 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 3))) in d
* [misc]taylor:  Taking taylor expansion of (* b (pow d 3)) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 3) in d
* [misc]backup-simplify:  Simplify (* b 1) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ -1/8 (pow d 4)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (* 3/8 (/ 1 (* a (pow d 4))))
* [misc]taylor:  Taking taylor expansion of (* 3/8 (/ 1 (* a (pow d 4)))) in d
* [misc]taylor:  Taking taylor expansion of 3/8 in d
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (pow d 4))) in d
* [misc]taylor:  Taking taylor expansion of (* a (pow d 4)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 4) in d
* [misc]backup-simplify:  Simplify (* a 1) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (/ 1 a)) (* 1 (* 1 1)))) into a
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in (c d b a) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in a
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in a
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in a
* [misc]taylor:  Taking taylor expansion of (- b) in a
* [misc]taylor:  Taking taylor expansion of b in a
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in a
* [misc]taylor:  Taking taylor expansion of (- d) in a
* [misc]taylor:  Taking taylor expansion of d in a
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in a
* [misc]taylor:  Taking taylor expansion of (- a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in a
* [misc]taylor:  Taking taylor expansion of (- c) in a
* [misc]taylor:  Taking taylor expansion of c in a
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))
* [misc]backup-simplify:  Simplify (/ 1 (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in b
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in b
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2))
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in b
* [misc]taylor:  Taking taylor expansion of (- b) in b
* [misc]taylor:  Taking taylor expansion of b in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in b
* [misc]taylor:  Taking taylor expansion of (- d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in b
* [misc]taylor:  Taking taylor expansion of (- a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in b
* [misc]taylor:  Taking taylor expansion of (- c) in b
* [misc]taylor:  Taking taylor expansion of c in b
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)
* [misc]backup-simplify:  Simplify (/ 1 (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in d
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in d
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in d
* [misc]taylor:  Taking taylor expansion of (- b) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in d
* [misc]taylor:  Taking taylor expansion of (- d) in d
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in d
* [misc]taylor:  Taking taylor expansion of (- a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in d
* [misc]taylor:  Taking taylor expansion of (- c) in d
* [misc]taylor:  Taking taylor expansion of c in d
* [misc]backup-simplify:  Simplify c into c
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (/ 1 (- c)) into (/ -1 c)
* [misc]backup-simplify:  Simplify (* (/ -1 b) -1) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) 0) into (/ 1 b)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 b)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- b)) in c
* [misc]taylor:  Taking taylor expansion of (- b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (/ 1 (- b)) into (/ -1 b)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- d)) in c
* [misc]taylor:  Taking taylor expansion of (- d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (/ 1 (- d)) into (/ -1 d)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a)) in c
* [misc]taylor:  Taking taylor expansion of (- a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (/ 1 (- a)) into (/ -1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- c)) in c
* [misc]taylor:  Taking taylor expansion of (- c) in c
* [misc]taylor:  Taking taylor expansion of c in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 a) -1) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 a)) into (/ 1 a)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 a)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d))
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) in d
* [misc]taylor:  Taking taylor expansion of (* b d) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of d in d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 a) in a
* [misc]taylor:  Taking taylor expansion of a in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* a (pow d 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of (* a (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (* a 1) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* b (pow d 3)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d
* [misc]taylor:  Taking taylor expansion of 1/2 in d
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 3))) in d
* [misc]taylor:  Taking taylor expansion of (* b (pow d 3)) in d
* [misc]taylor:  Taking taylor expansion of b in d
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 3) in d
* [misc]backup-simplify:  Simplify (* b 1) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- d) into (- d)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a) into (- a)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ -1/8 (pow d 4)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (* 3/8 (/ 1 (* a (pow d 4))))
* [misc]taylor:  Taking taylor expansion of (* 3/8 (/ 1 (* a (pow d 4)))) in d
* [misc]taylor:  Taking taylor expansion of 3/8 in d
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a (pow d 4))) in d
* [misc]taylor:  Taking taylor expansion of (* a (pow d 4)) in d
* [misc]taylor:  Taking taylor expansion of a in d
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of (pow d 4) in d
* [misc]backup-simplify:  Simplify (* a 1) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (/ 1 (- a))) (* 1 (* 1 1)))) into (* -1 a)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (pow (+ (* c c) (* d d)) 1/2)))>
* * * * [misc]progress:  [ 2 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (pow (sqrt (+ (* c c) (* d d))) 1)))>
* * * * [misc]progress:  [ 3 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (exp (log (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 4 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (log (exp (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 5 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 6 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (cbrt (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 7 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 8 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))
* * * * [misc]progress:  [ 9 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 10 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))
* * * * [misc]progress:  [ 11 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]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)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))
* * * * [misc]progress:  [ 12 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))>
* * * * [misc]progress:  [ 13 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (fabs (sqrt (+ (* c c) (* d d))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (fabs (sqrt (+ (* c c) (* d d))))))
* * * * [misc]progress:  [ 14 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* 1 (sqrt (+ (* c c) (* d d))))))>
* * * * [misc]progress:  [ 15 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (pow (+ (* c c) (* d d)) 1/2) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 16 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (pow (sqrt (+ (* c c) (* d d))) 1) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 17 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (exp (log (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 18 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (log (exp (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 19 / 122 ] 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))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 20 / 122 ] 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))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 21 / 122 ] 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))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 22 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 23 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (sqrt 1) (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (sqrt 1) (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 24 / 122 ] 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)))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 25 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 26 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 27 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* c c) (* d d)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* c c) (* d d)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 28 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* 1 (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 29 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) 1)) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 30 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 31 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (exp (log (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 32 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (log (exp (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 33 / 122 ] 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)))) (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (* c c) (* d d)) (+ (* c a) (* d b))) (+ (* c a) (* d b))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (cbrt (* (/ (/ (+ (* c c) (* d d)) (+ (* c a) (* d b))) (+ (* c a) (* d b))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 34 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 35 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (cbrt (* (* (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 36 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 37 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (- (sqrt (+ (* c c) (* d d)))) (- (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 38 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 39 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 40 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 41 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 42 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 43 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]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)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 44 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 45 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 46 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]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)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 47 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 48 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 49 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 50 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 51 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 52 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]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)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 53 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 54 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* d b) (* a c))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* d b) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 55 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 56 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 57 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (sqrt (+ (* c c) (* d d))) (/ 1 (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 58 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 59 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) 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)))))
* * * * [misc]progress:  [ 60 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2 2) 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)))))
* * * * [misc]progress:  [ 61 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 62 / 122 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 63 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) 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)))))
* * * * [misc]progress:  [ 64 / 122 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) 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)))))
* * * * [misc]progress:  [ 65 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt 1) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt 1) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 66 / 122 ] simplifiying candidate #<alt (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)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) 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)))))
* * * * [misc]progress:  [ 67 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 68 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (362 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3))) (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 69 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c)))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (- (* b d) (* a c))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c)))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 70 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (* (+ (* b d) (* a c)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (* (+ (* b d) (* a c)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 71 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ (* b d) (* a c)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (* (+ (* b d) (* a c)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 72 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) -1) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 73 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) (- 1)) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) (- 1)) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 74 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (pow (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) 1) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 75 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (- (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 76 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (- (log (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 77 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (exp (log (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 78 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (log (exp (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 79 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (* (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (cbrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 80 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (cbrt (* (* (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 81 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (sqrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 82 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (- 1) (- (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 83 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 84 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* 1 (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 85 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) 1)) (sqrt (+ (* c c) (* d d)))))>
* * * * [misc]progress:  [ 86 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 87 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))
* [misc]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))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 88 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 89 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 90 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 91 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 92 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 93 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 94 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 95 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 96 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 97 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 98 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 99 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 100 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 101 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 102 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 103 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 104 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ 1 (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 105 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ 1 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 106 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 107 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (* b d) (* a c)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (* d b) (* a c)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (+ (* d b) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 108 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3)))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (362 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3)))) (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 109 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c))))) (- (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (- (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (- (* b d) (* a c))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c))))) (- (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 110 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (+ (* b d) (* a c))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a c) (* b d))
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 111 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) d))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) d))
* * * * [misc]progress:  [ 112 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) c))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) c))
* * * * [misc]progress:  [ 113 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* -1 c)))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (- c)))
* * * * [misc]progress:  [ 114 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ d (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying d
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to d
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ d (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 115 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ c (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying c
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to c
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ c (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 116 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 (/ (* -1 c) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- c)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 117 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 118 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 119 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 120 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying b
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to b
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 121 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying a
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))
* * * * [misc]progress:  [ 122 / 122 ] simplifiying candidate #<alt (λ (a b c d) (/ (* -1 a) (sqrt (+ (* c c) (* d d)))))>
* [enter]simplify:  Simplifying (* -1 a)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- a)
* [misc]simplify:  Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * [misc]regime-changes:  Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
* * * * [misc]regimes:  Trying to branch on d from (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * * [misc]regimes:  Trying to branch on b from (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * * [misc]regimes:  Trying to branch on c from (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * * [misc]regimes:  Trying to branch on a from (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * * [misc]regimes:  Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (#<alt (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> #<alt (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 7 256))>
* [enter]simplify:  Simplifying (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 471 additional inputs, on iter 1 have 7529 / 8000
* * * * [misc]points:  Computing exacts on every 29 of 471 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 14 of 471 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 7 of 471 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 3 of 471 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 471 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 25 additional inputs, on iter 2 have 7975 / 8000
* * * * [misc]points:  Computing exacts for 25 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 3 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8003 points with exact outputs