* [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
* * * * [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 (+ b (+ c d))) 2)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (252 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (* 2 (+ (+ a c) (+ b d)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a b c d) (* 2 (+ (+ a c) (+ b d))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (+ a c) (+ b d)) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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 (+ 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) (+ b d)) in b
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [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]backup-simplify:  Simplify (+ 0 d) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ 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 (+ (* 1 (* 1 (* b (* 1 1)))) (+ (* 1 (* 1 (* 1 (* c 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 d)) 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]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 1 (* (/ 1 (/ 1 c)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 b)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ b (+ c d))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [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) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in b
* [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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 b) (/ 1 d))) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 b) (/ 1 d))) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 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 (- 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (- (/ 1 d)) into (- (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (- (/ 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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 1 (* (/ 1 (/ 1 (- c))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- b))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ b (+ c d))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (log (* (exp (+ a c)) (exp (+ b d))))))>
* [enter]simplify:  Simplifying (* (exp (+ a c)) (exp (+ b d)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (exp (+ (+ c d) (+ a b)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (log (exp (+ (+ c d) (+ a b))))))
* * * * [misc]progress:  [ 2 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (pow (+ (+ a c) (+ b d)) 1)))>
* * * * [misc]progress:  [ 3 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (exp (log (+ (+ a c) (+ b d))))))>
* * * * [misc]progress:  [ 4 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (log (exp (+ (+ a c) (+ b d))))))>
* * * * [misc]progress:  [ 5 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* (* (cbrt (+ (+ a c) (+ b d))) (cbrt (+ (+ a c) (+ b d)))) (cbrt (+ (+ a c) (+ b d))))))>
* * * * [misc]progress:  [ 6 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))>
* * * * [misc]progress:  [ 7 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* (sqrt (+ (+ a c) (+ b d))) (sqrt (+ (+ a c) (+ b d))))))>
* * * * [misc]progress:  [ 8 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))>
* [enter]simplify:  Simplifying (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (193 enodes)
* [exit]simplify:  Simplified to (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))
* [enter]simplify:  Simplifying (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (411 enodes)
* [exit]simplify:  Simplified to (* (- (* d d) (* (- d b) b)) (+ (* a a) (* (- c a) c)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a b c d) (* 2 (/ (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (- (* d d) (* (- d b) b)) (+ (* a a) (* (- c a) c))))))
* * * * [misc]progress:  [ 9 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))>
* [enter]simplify:  Simplifying (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (412 enodes)
* [exit]simplify:  Simplified to (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))
* [enter]simplify:  Simplifying (* (+ (* a a) (- (* c c) (* a c))) (- b d))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (* (- b d) (+ (* a a) (* (- c a) c)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a b c d) (* 2 (/ (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (- b d) (+ (* a a) (* (- c a) c))))))
* * * * [misc]progress:  [ 10 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))>
* [enter]simplify:  Simplifying (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (178 enodes)
* [exit]simplify:  Simplified to (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))
* [enter]simplify:  Simplifying (* (- a c) (+ (* b b) (- (* d d) (* b d))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (* (- a c) (+ (* d (- d b)) (* b b)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a b c d) (* 2 (/ (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (* (- a c) (+ (* d (- d b)) (* b b))))))
* * * * [misc]progress:  [ 11 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (* (- a c) (- b d)))))>
* [enter]simplify:  Simplifying (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (409 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- b d)) (+ (+ b d) (+ a c)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (* (* (- a c) (- b d)) (+ (+ b d) (+ a c))) (* (- a c) (- b d)))))
* [enter]simplify:  Simplifying (* (- a c) (- b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (* (- a c) (- b d))
* [misc]simplify:  Simplified (2 2 2) to (λ (a b c d) (* 2 (/ (* (* (- a c) (- b d)) (+ (+ b d) (+ a c))) (* (- a c) (- b d)))))
* * * * [misc]progress:  [ 12 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))>
* * * * [misc]progress:  [ 13 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* 1 (+ (+ a c) (+ b d)))))>
* * * * [misc]progress:  [ 14 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (+ a c) (+ b d)))))>
* * * * [misc]progress:  [ 15 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* 1 (+ (+ a c) (+ b d)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 2) to (λ (a b c d) (* 2 (* 1 (+ (+ b d) (+ c a)))))
* * * * [misc]progress:  [ 16 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ (+ (+ a c) b) d)))>
* * * * [misc]progress:  [ 17 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ a (+ c (+ b d)))))>
* * * * [misc]progress:  [ 18 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ (+ b d) (+ a c))))>
* * * * [misc]progress:  [ 19 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ a (+ b c))))>
* [enter]simplify:  Simplifying (+ a (+ b c))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ b a) c)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 2 (+ (+ b a) c)))
* * * * [misc]progress:  [ 20 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ b (+ c d))))>
* [enter]simplify:  Simplifying (+ b (+ c d))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ c b) d)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 2 (+ (+ c b) d)))
* * * * [misc]progress:  [ 21 / 21 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ b (+ c d))))>
* [enter]simplify:  Simplifying (+ b (+ c d))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ c b) d)
* [misc]simplify:  Simplified (2 2) to (λ (a b c d) (* 2 (+ (+ c b) 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) (* 2 (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b 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 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in d
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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 (+ 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) (+ b d)) 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 (+ 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) (+ b d)) 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 (+ 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 (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ b 0) into b
* [misc]backup-simplify:  Simplify (+ (+ a c) b) into (+ a (+ b c))
* [misc]backup-simplify:  Simplify (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ b 0) into b
* [misc]backup-simplify:  Simplify (+ (+ a c) b) into (+ a (+ b c))
* [misc]backup-simplify:  Simplify (* (+ a (+ b c)) (+ a (+ b c))) into (pow (+ a (+ b c)) 2)
* [misc]backup-simplify:  Simplify (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ b 0) into b
* [misc]backup-simplify:  Simplify (+ (+ a c) b) into (+ a (+ b c))
* [misc]backup-simplify:  Simplify (* (pow (+ a (+ b c)) 2) (+ a (+ b c))) into (pow (+ a (+ b c)) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ a (+ b c)) 3)) into (log (pow (+ a (+ b c)) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ a (+ b c)) 3))) into (* 1/3 (log (pow (+ a (+ b c)) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ a (+ b c)) 3)))) into (pow (pow (+ a (+ b c)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in b
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in b
* [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) 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) (+ b d)) in b
* [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) 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) (+ b d)) in b
* [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) 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]backup-simplify:  Simplify (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ (+ a c) d) into (+ a (+ c d))
* [misc]backup-simplify:  Simplify (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ (+ a c) d) into (+ a (+ c d))
* [misc]backup-simplify:  Simplify (* (+ a (+ c d)) (+ a (+ c d))) into (pow (+ a (+ c d)) 2)
* [misc]backup-simplify:  Simplify (+ a c) into (+ a c)
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ (+ a c) d) into (+ a (+ c d))
* [misc]backup-simplify:  Simplify (* (pow (+ a (+ c d)) 2) (+ a (+ c d))) into (pow (+ a (+ c d)) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ a (+ c d)) 3)) into (log (pow (+ a (+ c d)) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ a (+ c d)) 3))) into (* 1/3 (log (pow (+ a (+ c d)) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ a (+ c d)) 3)))) into (pow (pow (+ a (+ c d)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in c
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in c
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) in c
* [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) 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]backup-simplify:  Simplify (+ a 0) into a
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ a (+ b d)) into (+ a (+ b d))
* [misc]backup-simplify:  Simplify (+ a 0) into a
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ a (+ b d)) into (+ a (+ b d))
* [misc]backup-simplify:  Simplify (* (+ a (+ b d)) (+ a (+ b d))) into (pow (+ a (+ b d)) 2)
* [misc]backup-simplify:  Simplify (+ a 0) into a
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ a (+ b d)) into (+ a (+ b d))
* [misc]backup-simplify:  Simplify (* (pow (+ a (+ b d)) 2) (+ a (+ b d))) into (pow (+ a (+ b d)) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ a (+ b d)) 3)) into (log (pow (+ a (+ b d)) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ a (+ b d)) 3))) into (* 1/3 (log (pow (+ a (+ b d)) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ a (+ b d)) 3)))) into (pow (pow (+ a (+ b d)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (+ b (+ c d)) (+ b (+ c d))) into (pow (+ b (+ c d)) 2)
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (pow (+ b (+ c d)) 2) (+ b (+ c d))) into (pow (+ b (+ c d)) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ b (+ c d)) 3)) into (log (pow (+ b (+ c d)) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ b (+ c d)) 3))) into (* 1/3 (log (pow (+ b (+ c d)) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ b (+ c d)) 3)))) into (pow (pow (+ b (+ c d)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (+ b (+ c d)) (+ b (+ c d))) into (pow (+ b (+ c d)) 2)
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (pow (+ b (+ c d)) 2) (+ b (+ c d))) into (pow (+ b (+ c d)) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ b (+ c d)) 3)) into (log (pow (+ b (+ c d)) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ b (+ c d)) 3))) into (* 1/3 (log (pow (+ b (+ c d)) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ b (+ c d)) 3)))) into (pow (pow (+ b (+ c d)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (pow (+ b (+ c d)) 3) 1/3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (+ b (+ c d)) 3)))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (+ b (+ c d)) 3))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (log (pow (+ b d) 3)) into (log (pow (+ b d) 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (+ b d) 3))) into (* 1/3 (log (pow (+ b d) 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (+ b d) 3)))) into (pow (pow (+ b d) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (pow (+ b d) 3) 1/3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (+ b d) 3)))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (+ b d) 3))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (+ b d) 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (log (pow d 3)) into (log (pow d 3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow d 3))) into (* 1/3 (log (pow d 3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow d 3)))) into (pow (pow d 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (pow d 3) 1/3) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow d 3)))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow d 3))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow d 3)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 3) in d
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log d)) 0) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (* 1/3 (* 3 (log d))) into (log d)
* [misc]backup-simplify:  Simplify (exp (log d)) into d
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ b (+ c d)) 1) (* 1 (+ b (+ c d)))) into (+ (* 2 b) (+ (* 2 c) (* 2 d)))
* [misc]backup-simplify:  Simplify (+ (* (pow (+ b (+ c d)) 2) 1) (* (+ (* 2 b) (+ (* 2 c) (* 2 d))) (+ b (+ c d)))) into (+ (* 3 (pow c 2)) (+ (* 3 (pow b 2)) (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 3 (pow c 2)) (+ (* 3 (pow b 2)) (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2)))))))) 1)) (pow (pow (+ b (+ c d)) 3) 1)))) 1) into (+ (* 6 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 3 (/ (pow b 2) (pow (+ b (+ c d)) 3))) (+ (* 6 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 3 (/ (pow c 2) (pow (+ b (+ c d)) 3))) (+ (* 6 (/ (* b c) (pow (+ b (+ c d)) 3))) (* 3 (/ (pow d 2) (pow (+ b (+ c d)) 3))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (+ (* 6 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 3 (/ (pow b 2) (pow (+ b (+ c d)) 3))) (+ (* 6 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 3 (/ (pow c 2) (pow (+ b (+ c d)) 3))) (+ (* 6 (/ (* b c) (pow (+ b (+ c d)) 3))) (* 3 (/ (pow d 2) (pow (+ b (+ c d)) 3))))))))) (* 0 (log (pow (+ b (+ c d)) 3)))) into (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (/ (pow c 2) (pow (+ b (+ c d)) 3)) (+ (/ (pow d 2) (pow (+ b (+ c d)) 3)) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (+ b (+ c d)) 3)))) (+ (* (/ (pow (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (/ (pow c 2) (pow (+ b (+ c d)) 3)) (+ (/ (pow d 2) (pow (+ b (+ c d)) 3)) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (* 2 (/ (* c d) (pow (+ b (+ c d)) 3)))))))) 1) 1)))) into (* (+ (/ (pow c 2) (pow (+ b (+ c d)) 3)) (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3))))))) (+ b (+ c d)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (pow c 2) (pow (+ b (+ c d)) 3)) (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3))))))) (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow c 2) (pow (+ b (+ c d)) 3)) (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3))))))) in c
* [misc]taylor:  Taking taylor expansion of (/ (pow c 2) (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (+ b d) 3)) into (/ 1 (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* b d) (pow (+ b (+ c d)) 3))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* b d) (pow (+ b (+ c d)) 3)) 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 (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (/ (* b d) (pow (+ b d) 3)) into (/ (* b d) (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* c d) (pow (+ b (+ c d)) 3))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* c d) (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ d (pow (+ b d) 3)) into (/ d (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3)))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* b c) (pow (+ b (+ c d)) 3))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* b c) (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ b (pow (+ b d) 3)) into (/ b (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow b 2) (pow (+ b (+ c d)) 3)) (/ (pow d 2) (pow (+ b (+ c d)) 3))) in c
* [misc]taylor:  Taking taylor expansion of (/ (pow b 2) (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (/ (pow b 2) (pow (+ b d) 3)) into (/ (pow b 2) (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (/ (pow d 2) (pow (+ b (+ c d)) 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]backup-simplify:  Simplify (/ (pow d 2) (pow (+ b d) 3)) into (/ (pow d 2) (pow (+ b d) 3))
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 2 (/ (* b d) (pow (+ b d) 3))) into (* 2 (/ (* b d) (pow (+ b d) 3)))
* [misc]backup-simplify:  Simplify (+ (/ (pow b 2) (pow (+ b d) 3)) (/ (pow d 2) (pow (+ b d) 3))) into (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))) into (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))) into (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (+ (/ (pow d 2) (pow (+ b d) 3)) (/ (pow b 2) (pow (+ b d) 3)))) into (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3))))) into (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3))))
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (* (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3)))) (+ b d)) into (* (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3)))) (+ b d))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3)))) (+ b d)) in b
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow d 2) (pow (+ b d) 3)) (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3)))) in b
* [misc]taylor:  Taking taylor expansion of (/ (pow d 2) (pow (+ b d) 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ (pow d 2) (pow d 3)) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* b d) (pow (+ b d) 3))) (/ (pow b 2) (pow (+ b d) 3))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* b d) (pow (+ b d) 3))) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* b d) (pow (+ b d) 3)) 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 (pow (+ b d) 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ d (pow d 3)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow b 2) (pow (+ b d) 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
* [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]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (* (/ 1 d) d) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ b d) 1)))) 1) into (/ 1 (+ b d))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 (+ b d))) (* 0 (log (+ b d)))) into (* 3 (/ 1 (+ b d)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (+ b d)))) (+ (* (/ (pow (* 3 (/ 1 (+ b d))) 1) 1)))) into (* 3 (pow (+ b d) 2))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (pow (+ b d) 2))) 1)) (pow (pow (+ b d) 3) 1)))) 1) into (/ 3 (+ b d))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 3 (+ b d))) (* 0 (log (pow (+ b d) 3)))) into (/ 1 (+ b d))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (+ b d) 3)))) (+ (* (/ (pow (/ 1 (+ b d)) 1) 1)))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ (* 1 (* 1 (* 1 (* c 1)))) (+ (* 1 (* 1 (* 1 (* 1 a)))) d)) into (+ a (+ c d))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in d
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in d
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log d)) 0) into (- (* 3 (log d)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 3 (log d)))) into (* -1 (log d))
* [misc]backup-simplify:  Simplify (exp (* -1 (log d))) into (pow d -1)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in b
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in b
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log b)) 0) into (- (* 3 (log b)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 3 (log b)))) into (* -1 (log b))
* [misc]backup-simplify:  Simplify (exp (* -1 (log b))) into (pow b -1)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in c
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in c
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log c)) 0) into (- (* 3 (log c)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 3 (log c)))) into (* -1 (log c))
* [misc]backup-simplify:  Simplify (exp (* -1 (log c))) into (pow c -1)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 3 (log a)))) into (* -1 (log a))
* [misc]backup-simplify:  Simplify (exp (* -1 (log a))) into (pow a -1)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 3 (log a)))) into (* -1 (log a))
* [misc]backup-simplify:  Simplify (exp (* -1 (log a))) into (pow a -1)
* [misc]taylor:  Taking taylor expansion of (pow a -1) in c
* [misc]taylor:  Taking taylor expansion of (exp (* -1 (log a))) in c
* [misc]taylor:  Taking taylor expansion of (* -1 (log a)) in c
* [misc]taylor:  Taking taylor expansion of -1 in c
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (log a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* -1 (log a)) into (* -1 (log a))
* [misc]backup-simplify:  Simplify (exp (* -1 (log a))) into (pow a -1)
* [misc]taylor:  Taking taylor expansion of (pow a -1) in b
* [misc]taylor:  Taking taylor expansion of (exp (* -1 (log a))) in b
* [misc]taylor:  Taking taylor expansion of (* -1 (log a)) in b
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (log a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (log a) into (log a)
* [misc]backup-simplify:  Simplify (* -1 (log a)) into (* -1 (log a))
* [misc]backup-simplify:  Simplify (exp (* -1 (log a))) into (pow a -1)
* [misc]taylor:  Taking taylor expansion of (pow a -1) in d
* [misc]taylor:  Taking taylor expansion of (exp (* -1 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (* -1 (log a)) in d
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (* -1 (log a)) into (* -1 (log a))
* [misc]backup-simplify:  Simplify (exp (* -1 (log a))) into (pow a -1)
* [misc]backup-simplify:  Simplify (pow a -1) into (pow a -1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 1)) into (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 c)) (* 3 (/ 1 d))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 c)) (* 3 (/ 1 d))))) 1)) (pow 1 1)))) 1) into (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))) (* 0 (- (* 3 (log a))))) into (+ (/ 1 b) (+ (/ 1 c) (/ 1 d)))
* [misc]backup-simplify:  Simplify (* (exp (* -1 (log a))) (+ (* (/ (pow (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) 1) 1)))) into (/ (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) a)
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) a) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 a in c
* [misc]backup-simplify:  Simplify a into a
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 b) (/ 1 d)) a) (+ (* (/ 1 a) (/ 0 a)))) into (+ (/ 1 (* a d)) (/ 1 (* a b)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* a d)) (/ 1 (* a b))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a d)) in b
* [misc]taylor:  Taking taylor expansion of (* a d) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* a d) into (* a d)
* [misc]backup-simplify:  Simplify (/ 1 (* a d)) into (/ 1 (* a d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a b)) in b
* [misc]taylor:  Taking taylor expansion of (* a b) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [misc]backup-simplify:  Simplify a into a
* [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 (* a 0) into 0
* [misc]backup-simplify:  Simplify (+ (* a 1) (* 0 0)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (* a d)) 0) into (/ 1 (* a d))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* a d)) in 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* a 1) (* 0 0)) into a
* [misc]backup-simplify:  Simplify (/ 1 a) into (/ 1 a)
* [misc]backup-simplify:  Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1 (log a))) (+ (* (/ (pow 0 1) 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1 (log a))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (log a))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1 (log a))) (+ (* (/ (pow 0 1) 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 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 1))) into (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 c)) (* 3 (/ 1 d))))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))))) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) 0) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/2 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))) (+ (* 0 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))) (* 0 (- (* 3 (log a)))))) into (- (+ (/ 1 (* b c)) (+ (/ 1 (* b d)) (+ (* 1/2 (/ 1 (pow c 2))) (+ (* 1/2 (/ 1 (pow d 2))) (+ (/ 1 (* c d)) (* 1/2 (/ 1 (pow b 2)))))))))
* [misc]backup-simplify:  Simplify (* (exp (* -1 (log a))) (+ (* (/ (pow (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) 2) 2)) (* (/ (pow (- (+ (/ 1 (* b c)) (+ (/ 1 (* b d)) (+ (* 1/2 (/ 1 (pow c 2))) (+ (* 1/2 (/ 1 (pow d 2))) (+ (/ 1 (* c d)) (* 1/2 (/ 1 (pow b 2))))))))) 1) 1)))) 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 b
* [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 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (+ (/ 1 (* a d)) (/ 1 (* a b))) (/ 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ 1 a) -1) into (pow (/ 1 a) -1)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in d
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in d
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log d)) (log -1)) into (- (log -1) (* 3 (log d)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log d)))) into (* 1/3 (- (log -1) (* 3 (log d))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log d))))) into (exp (* 1/3 (- (log -1) (* 3 (log d)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in b
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in b
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log b)) (log -1)) into (- (log -1) (* 3 (log b)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log b)))) into (* 1/3 (- (log -1) (* 3 (log b))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log b))))) into (exp (* 1/3 (- (log -1) (* 3 (log b)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in c
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in c
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log c)) (log -1)) into (- (log -1) (* 3 (log c)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log c)))) into (* 1/3 (- (log -1) (* 3 (log c))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log c))))) into (exp (* 1/3 (- (log -1) (* 3 (log c)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in a
* [misc]taylor:  Rewrote expression to (pow (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))))) in a
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))))) in a
* [misc]taylor:  Taking taylor expansion of 1/3 in a
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))))) in a
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in c
* [misc]taylor:  Taking taylor expansion of (log -1) in c
* [misc]taylor:  Taking taylor expansion of -1 in c
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in b
* [misc]taylor:  Taking taylor expansion of (log -1) in b
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (log -1) in d
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) -1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) -1)) into (- (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c)))))) 1)) (pow -1 1)))) 1) into (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))) (* 0 (- (log -1) (* 3 (log a))))) into (+ (/ 1 b) (+ (/ 1 c) (/ 1 d)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) 1) 1)))) into (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) (exp (* 1/3 (- (log -1) (* 3 (log a))))))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) (exp (* 1/3 (- (log -1) (* 3 (log a)))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 (exp (* 1/3 (- (log -1) (* 3 (log a))))) in c
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in c
* [misc]taylor:  Taking taylor expansion of 1/3 in c
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in c
* [misc]taylor:  Taking taylor expansion of (log -1) in c
* [misc]taylor:  Taking taylor expansion of -1 in c
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in c
* [misc]taylor:  Taking taylor expansion of a in c
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 b) (/ 1 d)) (exp (* 1/3 (- (log -1) (* 3 (log a))))))) into (+ (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) b) (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d))
* [misc]taylor:  Taking taylor expansion of (+ (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) b) (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d)) in b
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) b) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in b
* [misc]taylor:  Taking taylor expansion of (log -1) in b
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [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 (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) 1) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in b
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in b
* [misc]taylor:  Taking taylor expansion of 1/3 in b
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in b
* [misc]taylor:  Taking taylor expansion of (log -1) in b
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (* 3 (log a)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log a) in b
* [misc]taylor:  Taking taylor expansion of a in b
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d) into (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d)) into (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d)
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) d) in d
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log -1) (* 3 (log a))))) in d
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log -1) (* 3 (log a)))) in d
* [misc]taylor:  Taking taylor expansion of 1/3 in d
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log -1) (* 3 (log a))) in d
* [misc]taylor:  Taking taylor expansion of (log -1) in d
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [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 (- (* 3 (log a))) into (- (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (* 3 (log a)))) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 3 (log a)))) into (* 1/3 (- (log -1) (* 3 (log a))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log a))))) into (exp (* 1/3 (- (log -1) (* 3 (log 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 (/ (exp (* 1/3 (- (log -1) (* 3 (log a))))) 1) into (exp (* 1/3 (- (log -1) (* 3 (log a)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 3 (log a))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 1) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) -1))) into (- (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c)))))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))) 1)) (pow -1 1)))) 2) into (* -1/2 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log a)) (log -1)) into (- (log -1) (* 3 (log a)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* -1/2 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))) (+ (* 0 (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))) (* 0 (- (log -1) (* 3 (log a)))))) into (- (+ (/ 1 (* b c)) (+ (/ 1 (* b d)) (+ (* 1/2 (/ 1 (pow c 2))) (+ (* 1/2 (/ 1 (pow d 2))) (+ (/ 1 (* c d)) (* 1/2 (/ 1 (pow b 2)))))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) 2) 2)) (* (/ (pow (- (+ (/ 1 (* b c)) (+ (/ 1 (* b d)) (+ (* 1/2 (/ 1 (pow c 2))) (+ (* 1/2 (/ 1 (pow d 2))) (+ (/ 1 (* c d)) (* 1/2 (/ 1 (pow b 2))))))))) 1) 1)))) 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 b
* [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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (* 3 (log a)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 3 (log a))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (/ 1 d)) 0) (* 0 (exp (* 1/3 (- (log -1) (* 3 (log 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 3 (log (/ 1 (- a))))))) into (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 a))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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 (+ 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) (+ b d)) 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 (+ 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) (+ b d)) 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 (+ 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) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in b
* [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) 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) (+ b d)) in b
* [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) 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) (+ b d)) in b
* [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) 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) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in c
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (+ b (+ c d)) (+ b (+ c d))) into (pow (+ b (+ c d)) 2)
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (pow (+ b (+ c d)) 2) (+ b (+ c d))) into (pow (+ b (+ c d)) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 3 (log (+ b d))) into (* 3 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (+ b d)))) into (pow (+ b d) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]taylor:  Taking taylor expansion of (pow d 3) in d
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ b (+ c d)) 1) (* 1 (+ b (+ c d)))) into (+ (* 2 b) (+ (* 2 c) (* 2 d)))
* [misc]backup-simplify:  Simplify (+ (* (pow (+ b (+ c d)) 2) 1) (* (+ (* 2 b) (+ (* 2 c) (* 2 d))) (+ b (+ c d)))) into (+ (* 3 (pow c 2)) (+ (* 3 (pow b 2)) (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (pow c 2)) (+ (* 3 (pow b 2)) (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (pow b 2)) (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (pow b 2)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 (+ (* 6 (* b c)) (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2))))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (* b c)) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 (+ (* 6 (* c d)) (+ (* 6 (* b d)) (* 3 (pow d 2)))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (* c d)) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (* b d)) (* 3 (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (* b d)) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 3 (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 3 (pow b 2)) into (* 3 (pow b 2))
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (* 6 0) into 0
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* 6 0) into 0
* [misc]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (* 6 (* b d)) into (* 6 (* b d))
* [misc]backup-simplify:  Simplify (* 3 (pow d 2)) into (* 3 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 6 (* b d)) (* 3 (pow d 2))) into (+ (* 3 (pow d 2)) (* 6 (* b d)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (pow d 2)) (* 6 (* b d)))) into (+ (* 3 (pow d 2)) (* 6 (* b d)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (pow d 2)) (* 6 (* b d)))) into (+ (* 3 (pow d 2)) (* 6 (* b d)))
* [misc]backup-simplify:  Simplify (+ (* 3 (pow b 2)) (+ (* 3 (pow d 2)) (* 6 (* b d)))) into (+ (* 3 (pow d 2)) (+ (* 3 (pow b 2)) (* 6 (* b d))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (pow d 2)) (+ (* 3 (pow b 2)) (* 6 (* b d))))) into (+ (* 3 (pow d 2)) (+ (* 3 (pow b 2)) (* 6 (* b d))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (pow d 2)) (+ (* 3 (pow b 2)) (* 6 (* b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (pow b 2)) (* 6 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (* b d)) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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]backup-simplify:  Simplify (* 3 (pow d 2)) into (* 3 (pow d 2))
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* 6 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 (pow d 2)) 0) into (* 3 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ b d) 1)))) 1) into (/ 1 (+ b d))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 (+ b d))) (* 0 (log (+ b d)))) into (* 3 (/ 1 (+ b d)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (+ b d)))) (+ (* (/ (pow (* 3 (/ 1 (+ b d))) 1) 1)))) into (* 3 (pow (+ b d) 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (pow (+ b d) 2)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 3 (pow d 2)) into (* 3 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow d 1)))) 1) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 d)) (* 0 (log d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow (* 3 (/ 1 d)) 1) 1)))) into (* 3 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (pow d 2)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ b (+ c d)) 0) (+ (* 1 1) (* 0 (+ b (+ c d))))) into 1
* [misc]backup-simplify:  Simplify (+ (* (pow (+ b (+ c d)) 2) 0) (+ (* (+ (* 2 b) (+ (* 2 c) (* 2 d))) 1) (* 1 (+ b (+ c d))))) into (+ (* 3 c) (+ (* 3 b) (* 3 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 c) (+ (* 3 b) (* 3 d))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 c) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (+ (* 3 b) (* 3 d)) in c
* [misc]taylor:  Taking taylor expansion of (* 3 b) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (* 3 d) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (* 3 b) into (* 3 b)
* [misc]backup-simplify:  Simplify (* 3 d) into (* 3 d)
* [misc]backup-simplify:  Simplify (+ (* 3 b) (* 3 d)) into (+ (* 3 b) (* 3 d))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 b) (* 3 d))) into (+ (* 3 b) (* 3 d))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 b) (* 3 d)) in b
* [misc]taylor:  Taking taylor expansion of (* 3 b) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 d) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (* 3 d) into (* 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 3 d)) into (* 3 d)
* [misc]taylor:  Taking taylor expansion of (* 3 d) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 0) into 0
* [misc]backup-simplify:  Simplify 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 (+ (* 3 0) (* 0 (pow b 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (+ (* 6 b) (* 0 0)) into (* 6 b)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* 6 d) (* 0 0)) into (* 6 d)
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (* b d))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (pow d 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 d) 0) into (* 6 d)
* [misc]backup-simplify:  Simplify (+ (* 6 b) (* 6 d)) into (+ (* 6 b) (* 6 d))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 b) (* 6 d))) into (+ (* 6 b) (* 6 d))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 b) (* 6 d))) into (+ (* 6 b) (* 6 d))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 b) (* 6 d)) in b
* [misc]taylor:  Taking taylor expansion of (* 6 b) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 d) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 6 0) into 0
* [misc]backup-simplify:  Simplify (* 6 d) into (* 6 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 6 d)) into (* 6 d)
* [misc]taylor:  Taking taylor expansion of (* 6 d) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ b d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ b d) 1)))) 2) into (/ -1/2 (pow (+ b d) 2))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ -1/2 (pow (+ b d) 2))) (+ (* 0 (/ 1 (+ b d))) (* 0 (log (+ b d))))) into (- (* 3/2 (/ 1 (pow (+ b d) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (+ b d)))) (+ (* (/ (pow (* 3 (/ 1 (+ b d))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (pow (+ b d) 2)))) 1) 1)))) into (* 3 (+ b d))
* [misc]taylor:  Taking taylor expansion of (* 3 (+ b d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (* 3 d) into (* 3 d)
* [misc]taylor:  Taking taylor expansion of (* 3 d) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (pow d 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* 6 d) (* 0 0)) into (* 6 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 6 d)) into (* 6 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 6 d)) into (* 6 d)
* [misc]taylor:  Taking taylor expansion of (* 6 d) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow d 1)))) 1) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 d)) (* 0 (log d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow (* 2 (/ 1 d)) 1) 1)))) into (* 2 d)
* [misc]backup-simplify:  Simplify (+ (* 3 (* 2 d)) (* 0 (pow d 2))) into (* 6 d)
* [misc]taylor:  Taking taylor expansion of (* 6 d) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into (/ -1/2 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ -1/2 (pow d 2))) (+ (* 0 (/ 1 d)) (* 0 (log d)))) into (- (* 3/2 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow (* 3 (/ 1 d)) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (pow d 2)))) 1) 1)))) into (* 3 d)
* [misc]taylor:  Taking taylor expansion of (* 3 d) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 1)) into (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 c)) (* 3 (/ 1 d))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 c)) (* 3 (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (+ (* 3 (/ 1 c)) (* 3 (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 1))) into (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b c))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b c)) in c
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow c 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* c d))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c d)) in c
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))) into (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 3)) into (/ 1 (pow b 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow c 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow c 2))) in c
* [misc]taylor:  Taking taylor expansion of (* b (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]backup-simplify:  Simplify (* b 1) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) c))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) c)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) c) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 c in c
* [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 (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 3) in c
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow d 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of (* b (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* b (pow d 2)) into (* b (pow d 2))
* [misc]backup-simplify:  Simplify (/ 1 (* b (pow d 2))) into (/ 1 (* b (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) d))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) d)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) d) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* (pow b 2) d) into (* (pow b 2) d)
* [misc]backup-simplify:  Simplify (/ 1 (* (pow b 2) d)) into (/ 1 (* (pow b 2) d))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* c (pow d 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of (* c (pow d 2)) 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 (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 0 (pow d 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow d 2))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b (* c d)))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (* c d))) in c
* [misc]taylor:  Taking taylor expansion of (* b (* c 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 (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* b d) (* 0 0)) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow c 2) d))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow c 2) d)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow c 2) d) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) 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 d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of 1 in b
* [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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 b)) into (/ 3 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 3 b) (* 3 (/ 1 d))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 6 (/ 1 b)) into (/ 6 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 6 b) (* 6 (/ 1 d))) into (+ (* 6 (/ 1 b)) (* 6 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 b)) (* 6 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 3 (/ 1 b)) into (/ 3 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 3 b) (* 3 (/ 1 d))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 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 (+ (* 3 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow b 2))) into (/ 3 (pow b 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (* b d))) into (/ 6 (* b d))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 (* b d)) 0) into (* 6 (/ 1 (* b d)))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 (* b d)))) into (* 6 (/ 1 (* b d)))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) (* 6 (/ 1 (* b d)))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow b 2)) (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (* b d))) into (/ 6 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow b 2))) into (/ 3 (pow b 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow b 2))) into (* 3 (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) (* 3 (/ 1 (pow b 2)))) into (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) into (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (* b d)) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 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 (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 b)))) 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 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow b 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* b (pow d 2)))) into (/ 3 (* b (pow d 2)))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* (pow b 2) d))) into (/ 3 (* (pow b 2) d))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 d) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (* b d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 3)) 0) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 3))) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* (pow b 2) d)) (/ 1 (pow d 3))) into (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* (pow b 2) d))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* b (pow d 2))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* (pow b 2) d))))) into (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 3) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow d 2)))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of (* b (pow d 2)) 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 (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 0 (pow d 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow d 2))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) d)) in b
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) d) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) 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 d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [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 (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (* b d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) 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 b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow b 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (* 6 1) into 6
* [misc]backup-simplify:  Simplify (+ 6 0) into 6
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))))) 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 b
* [misc]backup-simplify:  Simplify 0 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 b 3)) (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 (pow d 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (* b (pow d 2))))) 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) 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow b 2) d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 d) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]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]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 (* b 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) 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 (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 6 d)) into (* 6 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))))))) 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 b
* [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 (/ (+ (* -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 (- (+ (* (/ 1 (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (* b (pow d 2)))))) 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 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow d 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow d 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow d 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow d 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 d) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]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]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 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 (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))))))) 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 b
* [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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 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)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow b 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow b 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow b 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow b 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow b 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow b 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow b 2) d)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow d 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow d 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow d 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow d 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow d 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow d 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 d) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 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)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow d 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow d 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow d 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow d 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [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) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 3)) 0) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 3))) into (/ 1 (pow d 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 3) in d
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 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 (+ (* 6 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 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]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]backup-simplify:  Simplify (+ (* 3 (* (pow (/ 1 d) -2) (* 1 (* (/ 1 (/ 1 c)) 1)))) (+ (* 3 (* (pow (/ 1 d) -2) (* (/ 1 (/ 1 b)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 d)) (* 1 (* 1 1))) 3)))) into (+ (* 3 (* b (pow d 2))) (+ (* 3 (* c (pow d 2))) (pow d 3)))
* [misc]approximate:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [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) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) -1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) -1)) into (- (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (+ (* 3 (/ 1 d)) (* 3 (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (+ (* 3 (/ 1 d)) (* 3 (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (- 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) -1))) into (- (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b c))) (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b c))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b c)) in c
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow c 2))) (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow c 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [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]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* c d))) (* 3 (/ 1 (pow b 2)))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* c d))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c d)) in c
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))) into (- (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 3)) into (/ 1 (pow b 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow c 2)))) (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow c 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow c 2))) in c
* [misc]taylor:  Taking taylor expansion of (* b (pow c 2)) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow c 2) in c
* [misc]backup-simplify:  Simplify (* b 1) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* (pow b 2) c))) (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) c))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) c)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) c) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 c in c
* [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 (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow c 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow c 3) in c
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow d 2)))) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow d 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of (* b (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* b (pow d 2)) into (* b (pow d 2))
* [misc]backup-simplify:  Simplify (/ 1 (* b (pow d 2))) into (/ 1 (* b (pow d 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) d))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) d)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) d) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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 c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* (pow b 2) d) into (* (pow b 2) d)
* [misc]backup-simplify:  Simplify (/ 1 (* (pow b 2) d)) into (/ 1 (* (pow b 2) d))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* c (pow d 2)))) (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* c (pow d 2)))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c (pow d 2))) in c
* [misc]taylor:  Taking taylor expansion of (* c (pow d 2)) 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 (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 0 (pow d 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow d 2))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 3)) (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d))))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 3) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 3 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b (* c d)))) (* 3 (/ 1 (* (pow c 2) d)))) in c
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b (* c d)))) in c
* [misc]taylor:  Taking taylor expansion of 6 in c
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (* c d))) in c
* [misc]taylor:  Taking taylor expansion of (* b (* c 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 (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (* b 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (+ (* b d) (* 0 0)) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow c 2) d))) in c
* [misc]taylor:  Taking taylor expansion of 3 in c
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow c 2) d)) in c
* [misc]taylor:  Taking taylor expansion of (* (pow c 2) d) in c
* [misc]taylor:  Taking taylor expansion of (pow c 2) 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 d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in b
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in b
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]taylor:  Taking taylor expansion of -1 in b
* [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 (- 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 b)) into (/ 3 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 3 b) (* 3 (/ 1 d))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]backup-simplify:  Simplify (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) into (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 6 (/ 1 b)) into (/ 6 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 d))) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 6 b) (* 6 (/ 1 d))) into (+ (* 6 (/ 1 b)) (* 6 (/ 1 d)))
* [misc]backup-simplify:  Simplify (- (+ (* 6 (/ 1 b)) (* 6 (/ 1 d)))) into (- (+ (* 6 (/ 1 b)) (* 6 (/ 1 d))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 b)) (* 6 (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 b)) (* 6 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 3 (/ 1 b)) into (/ 3 b)
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 d) 0) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 3 b) (* 3 (/ 1 d))) into (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))
* [misc]backup-simplify:  Simplify (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) into (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 b)) (* 3 (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 b)) (* 3 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 3 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in b
* [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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 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 (+ (* 3 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow b 2))) into (/ 3 (pow b 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (* b d))) into (/ 6 (* b d))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 (* b d)) 0) into (* 6 (/ 1 (* b d)))
* [misc]backup-simplify:  Simplify (+ 0 (* 6 (/ 1 (* b d)))) into (* 6 (/ 1 (* b d)))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) (* 6 (/ 1 (* b d)))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow b 2)) (+ (* 6 (/ 1 (* b d))) (* 3 (/ 1 (pow d 2))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (* b d))) into (/ 6 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow b 2))) into (/ 3 (pow b 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow b 2))) into (* 3 (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) (* 3 (/ 1 (pow b 2)))) into (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) into (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ (/ 6 (* b d)) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) into (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* b d))) (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2))))) in b
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 6 in b
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow d 2))) (* 3 (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 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 (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 b)))) 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 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow b 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* b (pow d 2)))) into (/ 3 (* b (pow d 2)))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* (pow b 2) d))) into (/ 3 (* (pow b 2) d))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 d) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (* b d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 3)) 0) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 3))) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* (pow b 2) d)) (/ 1 (pow d 3))) into (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* (pow b 2) d))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* b (pow d 2))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* (pow b 2) d))))) into (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow b 3)) (+ (* 3 (/ 1 (* (pow b 2) d))) (+ (/ 1 (pow d 3)) (* 3 (/ 1 (* b (pow d 2))))))) into (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))))) into (- (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow b 3)) (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 3) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 3)) (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d))))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 3) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 3 (log d)) into (* 3 (log d))
* [misc]backup-simplify:  Simplify (exp (* 3 (log d))) into (pow d 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (* b (pow d 2)))) (* 3 (/ 1 (* (pow b 2) d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* b (pow d 2)))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b (pow d 2))) in b
* [misc]taylor:  Taking taylor expansion of (* b (pow d 2)) 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 (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (* 0 (pow d 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow d 2))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow b 2) d))) in b
* [misc]taylor:  Taking taylor expansion of 3 in b
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow b 2) d)) in b
* [misc]taylor:  Taking taylor expansion of (* (pow b 2) d) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) 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 d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [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]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (* b d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) 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 b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow b 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (+ 0 3) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (* 6 1) into 6
* [misc]backup-simplify:  Simplify (+ 6 0) into 6
* [misc]backup-simplify:  Simplify (- 6) into -6
* [misc]taylor:  Taking taylor expansion of -6 in d
* [misc]backup-simplify:  Simplify -6 into -6
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (+ 3 0) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]taylor:  Taking taylor expansion of -3 in d
* [misc]backup-simplify:  Simplify -3 into -3
* [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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))))) 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 b
* [misc]backup-simplify:  Simplify 0 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 b 3)) (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 (pow d 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (* b (pow d 2))))) 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) 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (* (pow b 2) d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 d) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]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]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 (* b 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) 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 (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 d))) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 d))) into (- (* 3 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 6 (/ 1 d))) into (- (* 6 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 6 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 6 d) 0) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 6 (/ 1 d))) into (- (* 6 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 6 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 d))) into (- (* 3 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 d)) into (/ 6 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 6 d)) into (* 6 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 6 (/ 1 d))) into (- (* 6 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 6 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 6 in d
* [misc]backup-simplify:  Simplify 6 into 6
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 d)) into (/ 3 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 d)) into (* 3 (/ 1 d))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 d))) into (- (* 3 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 d))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))))))) 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 b
* [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 (/ (+ (* -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 (- (+ (* (/ 1 (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (* b (pow d 2)))))) 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 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow d 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow d 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow d 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow d 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 d) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]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]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) 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 (+ (* 3 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 (pow d 2)))) into (- (* 3 (/ 1 (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 (pow d 2)))) into (- (* 3 (/ 1 (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow d 2))) into (/ 3 (pow d 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow d 2)) 0) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow d 2)))) into (* 3 (/ 1 (pow d 2)))
* [misc]backup-simplify:  Simplify (- (* 3 (/ 1 (pow d 2)))) into (- (* 3 (/ 1 (pow d 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 (pow d 2)))) in d
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow d 2))) in d
* [misc]taylor:  Taking taylor expansion of 3 in d
* [misc]backup-simplify:  Simplify 3 into 3
* [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 0 in d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) 0) (+ (* (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))))))) 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 b
* [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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 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)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow b 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow b 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow b 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow b 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow b 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow b 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b (pow d 2))) (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))) (* 0 (/ 0 (* b (pow d 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow b 2) d)) (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))) (* 0 (/ 0 (* (pow b 2) d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow b 2) d)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow d 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow d 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow d 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow d 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow d 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow d 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 3)) (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))) (* 0 (/ 0 (pow d 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 d) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 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)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* b d))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow d 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow d 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow d 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow d 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow d 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log b)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [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) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 3)) 0) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow d 3))) into (/ 1 (pow d 3))
* [misc]backup-simplify:  Simplify (- (/ 1 (pow d 3))) into (- (/ 1 (pow d 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow d 3))) in d
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 3)) in d
* [misc]taylor:  Taking taylor expansion of (pow d 3) 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]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow d 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 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 d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 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 (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 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 (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 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 d
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (* 3 1) into 3
* [misc]backup-simplify:  Simplify (- 3) into -3
* [misc]backup-simplify:  Simplify -3 into -3
* [misc]backup-simplify:  Simplify (+ (* -3 (* (pow (/ 1 (- d)) -2) (* 1 (* (/ 1 (/ 1 (- c))) 1)))) (+ (* -3 (* (pow (/ 1 (- d)) -2) (* (/ 1 (/ 1 (- b))) (* 1 1)))) (* -1 (pow (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1))) 3)))) into (+ (* 3 (* b (pow d 2))) (+ (* 3 (* c (pow d 2))) (pow d 3)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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 (+ 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) (+ b d)) 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 (+ 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) (+ b d)) (+ (+ a c) (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in b
* [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) 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) (+ b d)) in b
* [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) 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) (+ b d)) (+ (+ a c) (+ b d))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) in c
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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) (+ b d)) (+ (+ a c) (+ b d))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]backup-simplify:  Simplify (* (+ b (+ c d)) (+ b (+ c d))) into (pow (+ b (+ c d)) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ b (+ c d)) 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ b (+ c d))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ b (+ c d)))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ b (+ c d))) in c
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (log (+ b d)) into (log (+ b d))
* [misc]backup-simplify:  Simplify (* 2 (log (+ b d))) into (* 2 (log (+ b d)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (+ b d)))) into (pow (+ b d) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ b d) 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ b d)))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ b d))) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ b d)) 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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]taylor:  Taking taylor expansion of (pow d 2) in d
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ b (+ c d)) 1) (* 1 (+ b (+ c d)))) into (+ (* 2 b) (+ (* 2 c) (* 2 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 b) (+ (* 2 c) (* 2 d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 b) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [misc]taylor:  Taking taylor expansion of (+ (* 2 c) (* 2 d)) in c
* [misc]taylor:  Taking taylor expansion of (* 2 c) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 d) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 2 b) into (* 2 b)
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 d) into (* 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 2 d)) into (* 2 d)
* [misc]backup-simplify:  Simplify (+ (* 2 b) (* 2 d)) into (+ (* 2 b) (* 2 d))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 b) (* 2 d)) in b
* [misc]taylor:  Taking taylor expansion of (* 2 b) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 d) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* 2 d) into (* 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (* 2 d)) into (* 2 d)
* [misc]taylor:  Taking taylor expansion of (* 2 d) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 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 (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ b d) 1)))) 1) into (/ 1 (+ b d))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 (+ b d))) (* 0 (log (+ b d)))) into (* 2 (/ 1 (+ b d)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (+ b d)))) (+ (* (/ (pow (* 2 (/ 1 (+ b d))) 1) 1)))) into (* 2 (+ b d))
* [misc]taylor:  Taking taylor expansion of (* 2 (+ b d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (* 2 d) into (* 2 d)
* [misc]taylor:  Taking taylor expansion of (* 2 d) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 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 (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow d 1)))) 1) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 d)) (* 0 (log d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow (* 2 (/ 1 d)) 1) 1)))) into (* 2 d)
* [misc]taylor:  Taking taylor expansion of (* 2 d) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 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 (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ b (+ c d)) 0) (+ (* 1 1) (* 0 (+ b (+ c d))))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ (* 2 0) (* 0 b)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ b d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ b d) 1)))) 2) into (/ -1/2 (pow (+ b d) 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -1/2 (pow (+ b d) 2))) (+ (* 0 (/ 1 (+ b d))) (* 0 (log (+ b d))))) into (- (/ 1 (pow (+ b d) 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (+ b d)))) (+ (* (/ (pow (* 2 (/ 1 (+ b d))) 2) 2)) (* (/ (pow (- (/ 1 (pow (+ b d) 2))) 1) 1)))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ (* 1 (pow (* 1 (* 1 (* c 1))) 2)) (+ (* 2 (* 1 (* 1 (* c a)))) (* 1 (pow (* 1 (* 1 (* 1 a))) 2)))) into (+ (pow c 2) (+ (pow a 2) (* 2 (* a c))))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d)))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 c)) (* 2 (/ 1 d)))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (+ (* 2 (/ 1 c)) (* 2 (/ 1 d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b c))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b c)) in c
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b d))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))) in c
* [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]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* c d))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c d)) in c
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in b
* [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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 b)) into (/ 2 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ (/ 2 d) 0) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 2 b) (* 2 (/ 1 d))) into (+ (* 2 (/ 1 b)) (* 2 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (* 2 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 b)) into (/ 2 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 d)) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 2 b) (* 2 (/ 1 d))) into (+ (* 2 (/ 1 b)) (* 2 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (* 2 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 0 in b
* [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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* b d))) into (/ 2 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))) into (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) into (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* b d)) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) into (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))) into (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1)))))) 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 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]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (* b d)))) 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 d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 d)))) 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 b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 d) 0) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 d)) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 d)) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (* 0 1))))))) 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 b
* [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]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* b 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 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) 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 (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 2)) 0) 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]taylor:  Taking taylor expansion of 0 in d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* (/ 1 (/ 1 d)) (* 1 (* (/ 1 (/ 1 c)) 1)))) (+ (* 2 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 d)) (* 1 (* 1 1))) 2)))) into (+ (pow d 2) (+ (* 2 (* c d)) (* 2 (* b d))))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in d
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in b
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in c
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d))))) in a
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [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) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [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 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) -1)) into (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (+ (* 2 (/ 1 d)) (* 2 (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (+ (* 2 (/ 1 d)) (* 2 (/ 1 c))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 c)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (- 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))) into (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b c))) (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b c))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b c)) in c
* [misc]taylor:  Taking taylor expansion of (* b c) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [misc]backup-simplify:  Simplify b into b
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* b 1) (* 0 0)) into b
* [misc]backup-simplify:  Simplify (/ 1 b) into (/ 1 b)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b d))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* b d) into (* b d)
* [misc]backup-simplify:  Simplify (/ 1 (* b d)) into (/ 1 (* b d))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow c 2)) (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))))) in c
* [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]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 2)) (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2)))) in c
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow d 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in c
* [misc]taylor:  Taking taylor expansion of d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* c d))) (/ 1 (pow b 2))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* c d))) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* c d)) in c
* [misc]taylor:  Taking taylor expansion of (* c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in c
* [misc]taylor:  Taking taylor expansion of (pow b 2) in c
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log b))) in c
* [misc]taylor:  Taking taylor expansion of (* 2 (log b)) in c
* [misc]taylor:  Taking taylor expansion of 2 in c
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log b) in c
* [misc]taylor:  Taking taylor expansion of b in c
* [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]backup-simplify:  Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in b
* [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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 b)) into (/ 2 b)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ (/ 2 d) 0) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 d))) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 2 b) (* 2 (/ 1 d))) into (+ (* 2 (/ 1 b)) (* 2 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (* 2 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 b)) into (/ 2 b)
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 d) 0) into (* 2 (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 2 b) (* 2 (/ 1 d))) into (+ (* 2 (/ 1 b)) (* 2 (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 b)) (* 2 (/ 1 d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 b)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 (/ 1 d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [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 0 in b
* [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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in c
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* b d))) into (/ 2 (* b d))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))) into (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) into (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* b d)) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) into (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))) into (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* b d))) (+ (/ 1 (pow d 2)) (/ 1 (pow b 2)))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* b d))) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* b d)) 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]backup-simplify:  Simplify (* 0 d) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 d)) into d
* [misc]backup-simplify:  Simplify (/ 1 d) into (/ 1 d)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow d 2)) (/ 1 (pow b 2))) in b
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow d 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow d 2) in b
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log d))) in b
* [misc]taylor:  Taking taylor expansion of (* 2 (log d)) in b
* [misc]taylor:  Taking taylor expansion of 2 in b
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log d) in b
* [misc]taylor:  Taking taylor expansion of d in b
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (log d) into (log d)
* [misc]backup-simplify:  Simplify (* 2 (log d)) into (* 2 (log d))
* [misc]backup-simplify:  Simplify (exp (* 2 (log d))) into (pow d 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow b 2)) in b
* [misc]taylor:  Taking taylor expansion of (pow b 2) in b
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- b) into (- b)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1)))))) 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 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]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (* 0 d)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (* b d)))) 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 d 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log d))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 d)))) 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 b 2)) (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 d) 0) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 d)) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ 1 d)) into (/ 2 d)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 d)) into (* 2 (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 d)) in d
* [misc]taylor:  Taking taylor expansion of 2 in d
* [misc]backup-simplify:  Simplify 2 into 2
* [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 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 (- 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))) (* 0 (/ 0 (- d))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))) (* 0 -1))))))) 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 b
* [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]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* b 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 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) 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 (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 d))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow d 2)) 0) 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]taylor:  Taking taylor expansion of 0 in d
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* (/ 1 (/ 1 (- d))) (* 1 (* (/ 1 (/ 1 (- c))) 1)))) (+ (* 2 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1))) 2)))) into (+ (pow d 2) (+ (* 2 (* c d)) (* 2 (* b d))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (+ a c) (+ b d)) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ a c) (+ b d)) 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 (+ 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) (+ b d)) in b
* [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) 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) (+ b d)) in c
* [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) 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) (+ b d)) 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]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) (+ b d)) 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]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]backup-simplify:  Simplify (+ 0 c) into c
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [misc]backup-simplify:  Simplify (+ c (+ b d)) into (+ b (+ c d))
* [misc]taylor:  Taking taylor expansion of (+ b (+ c 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 (+ c d) 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 d in c
* [misc]backup-simplify:  Simplify d into d
* [misc]backup-simplify:  Simplify (+ 0 d) into d
* [misc]backup-simplify:  Simplify (+ b d) into (+ b d)
* [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]backup-simplify:  Simplify (+ 0 d) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 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 (+ 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 (+ (* 1 (* 1 (* b (* 1 1)))) (+ (* 1 (* 1 (* 1 (* c 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 a) (/ 1 c)) (+ (/ 1 b) (/ 1 d))) in d
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in b
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in c
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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)) (+ (/ 1 b) (/ 1 d))) in a
* [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)) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in c
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 c)) into (/ 1 c)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (+ (/ 1 c) (+ (/ 1 b) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in b
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in d
* [misc]backup-simplify:  Simplify 1 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 d)) 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]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 1 (* (/ 1 (/ 1 c)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 b)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ b (+ c d))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- a)) (/ 1 (- c))) (+ (/ 1 (- b)) (/ 1 (- d)))) in d
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in b
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in c
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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))) (+ (/ 1 (- b)) (/ 1 (- d)))) in a
* [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))) 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]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [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) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 c)) into (- (/ 1 c))
* [misc]backup-simplify:  Simplify (+ (/ -1 b) (/ -1 d)) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 c)) (- (+ (/ 1 b) (/ 1 d)))) into (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (/ 1 c)))) in c
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) 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) (/ 1 c)) 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 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in b
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in b
* [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 (- c) into (- c)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (/ 1 d) 0) into (/ 1 d)
* [misc]backup-simplify:  Simplify (+ (/ 1 b) (/ 1 d)) into (+ (/ 1 b) (/ 1 d))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 b) (/ 1 d))) into (- (+ (/ 1 b) (/ 1 d)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 b) (/ 1 d))) 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 0 in b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of -1 in d
* [misc]backup-simplify:  Simplify -1 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 (- 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 (- 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 0) 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 b
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 d)) into (/ 1 d)
* [misc]backup-simplify:  Simplify (- (/ 1 d)) into (- (/ 1 d))
* [misc]taylor:  Taking taylor expansion of (- (/ 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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 0 in d
* [misc]backup-simplify:  Simplify 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 d
* [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 (* 1 (* (/ 1 (/ 1 (- c))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- b))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ b (+ c d))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1/3)))>
* * * * [misc]progress:  [ 2 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (pow (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) 1)))>
* * * * [misc]progress:  [ 3 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (exp (log (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 4 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (log (exp (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 5 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* (cbrt (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (cbrt (+ (+ a c) (+ b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (* (cbrt (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))) (cbrt (+ (+ a c) (+ b d))))))
* * * * [misc]progress:  [ 6 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 7 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (386 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 8 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* d (- d b)) (* b b)) (* (+ c a) (- a c)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* d (- d b)) (* b b)) (* (+ c a) (- a c)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 9 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ d b)) (* (- a c) (+ c a)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ d b)) (* (- a c) (+ c a)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 10 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 11 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 12 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (399 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 13 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (374 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a)))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 14 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 15 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 16 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (429 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 17 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 18 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 19 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 20 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (* (* (+ c a) (- a c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 21 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (- b d) (* (- a c) (+ c a))) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (- b d) (* (- a c) (+ c a))) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 22 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 23 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 24 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 25 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- b d) (+ (* (- a c) (+ d b)) (* (- a c) (+ c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- b d) (+ (* (- a c) (+ d b)) (* (- a c) (+ c a))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 26 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b)))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (+ c a) (* (- a c) (- b d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* d (- d b)) (* b b)))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (+ c a) (* (- a c) (- b d))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 27 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 28 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 29 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (429 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))) (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))) (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 30 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 31 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (429 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d))))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 32 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 33 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (448 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 34 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (367 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 35 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 36 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (357 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 37 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 38 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 39 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (415 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 40 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 41 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 42 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 43 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (399 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 44 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 45 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (468 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 46 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 47 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 48 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (386 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 49 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (202 enodes)
* [exit]simplify:  Simplified to (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 50 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d)))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d)))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 51 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (274 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 52 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 53 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 54 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (* (- a c) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (* (- a c) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 55 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 56 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 57 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 58 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (+ (pow (+ d b) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 59 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 60 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (468 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d)))) (+ (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d)))) (+ (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 61 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (287 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 62 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 63 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (286 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d)))) (* (- a c) (+ (* (+ d b) (- b d)) (* (+ c a) (- b d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 64 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 65 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 66 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b (- b d)) (* d d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b (- b d)) (* d d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 67 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 68 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 69 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 70 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 71 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 72 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b (- b d)) (* d d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b (- b d)) (* d d))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 73 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (243 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 74 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 75 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 76 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (305 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 77 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 78 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 79 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 80 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 81 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (* (- b d) (+ a c)) (- a c)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (* (- b d) (+ a c)) (- a c)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 82 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 83 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 84 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 85 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 86 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 87 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c))))) (* (- a c) (+ (* (- b d) (+ b d)) (* (+ a c) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c))))) (* (- a c) (+ (* (- b d) (+ b d)) (* (+ a c) (- b d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 88 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 89 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (428 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (+ (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (+ (* (+ (* a a) (* c (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 90 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 91 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c))))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c))))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 92 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 93 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (+ a c) (- a c)) (* (- a c) (+ b d)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (+ a c) (- a c)) (* (- a c) (+ b d)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 94 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 95 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (355 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 96 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- (* b b) (* d d)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- (* a a) (* c c))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- (* b b) (* d d)) (- a c))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 97 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (* (+ (* (* (- a c) (- b d)) (+ a c)) (* (* (- a c) (- b d)) (+ b d))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (* (+ (* (* (- a c) (- b d)) (+ a c)) (* (* (- a c) (- b d)) (+ b d))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 98 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (* (* (- b d) (+ (* (+ a c) (- a c)) (* (- a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c)))) (* (* (- b d) (+ (* (+ a c) (- a c)) (* (- a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 99 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 100 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 101 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ a c) (* (- a c) (- b d))) (* (+ b d) (* (- a c) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ a c) (* (- a c) (- b d))) (* (+ b d) (* (- a c) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 102 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 103 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 104 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 105 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (410 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 106 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (348 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 107 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 108 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 109 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ b d)) (* (+ (* c c) (* a (- a c))) (- b d))) (* (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ b d)) (* (+ (* c c) (* a (- a c))) (- b d))) (* (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 110 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 111 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 112 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 113 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (303 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 114 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c)))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c))))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c)))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (+ (* a (- a c)) (* c c))))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 115 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (468 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- b d) (+ (- (* a a) (* c c)) (* (- a c) (+ b d))))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- b d) (+ (- (* a a) (* c c)) (* (- a c) (+ b d))))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 116 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (+ b d) (* (- b d) (- a c))) (* (+ a c) (* (- a c) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (- (* a a) (* c c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (+ b d) (* (- b d) (- a c))) (* (+ a c) (* (- a c) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (- (* a a) (* c c)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 117 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 118 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 119 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* c (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* c (- c a))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 120 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (468 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (* (- b d) (+ (* (- a c) (+ b d)) (- (* a a) (* c c))))) (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (* (- b d) (+ (* (- a c) (+ b d)) (- (* a a) (* c c))))) (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 121 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (286 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 122 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (- a c) (+ (* (- b d) (+ a c)) (- (* b b) (* d d))))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (- a c) (+ (* (- b d) (+ a c)) (- (* b b) (* d d))))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 123 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (287 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ b d) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ a c))) (+ (* (+ b d) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ b d) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ a c))) (+ (* (+ b d) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ a c)))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 124 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ b d) (- b d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ b d) (- b d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 125 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ b d) (- b d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ b d) (- b d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))))) (cbrt (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 126 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (124 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))))) (+ (* (+ b d) (* (- b d) (- a c))) (* (+ a c) (* (- a c) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))))) (+ (* (+ b d) (* (- b d) (- a c))) (* (+ a c) (* (- a c) (- b d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 127 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (112 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow c 3) (pow a 3)) (- b d)))) (* (- a c) (+ (* (- b d) (+ a c)) (- (* b b) (* d d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow c 3) (pow a 3)) (- b d)))) (* (- a c) (+ (* (- b d) (+ a c)) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 128 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (407 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d))))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d))))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 129 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* d (- d b))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* d (- d b))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 130 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* b (- b d)) (* d d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* b (- b d)) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 131 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- a c) (+ (* (+ a c) (- b d)) (* (+ b d) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- a c) (+ (* (+ a c) (- b d)) (* (+ b d) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (- (* d d) (* b (- d b))))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 132 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (pow b 3) (pow d 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (pow b 3) (pow d 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 133 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (274 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 134 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))) (+ (* (* (+ a c) (- a c)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c))))) (+ (* (* (+ a c) (- a c)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 135 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 136 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 137 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))))) (cbrt (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 138 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 139 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 140 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d d) (* b (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d d) (* b (- b d))))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 141 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 142 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 143 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 144 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* * [misc]simplify:  iters left: 4 (439 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 145 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (310 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 146 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (407 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (+ (* (+ b d) (* (- a c) (- b d))) (* (+ a c) (* (- a c) (- b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (+ (* (+ b d) (* (- a c) (- b d))) (* (+ a c) (* (- a c) (- b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 147 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (230 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 148 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 149 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))))) (cbrt (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 150 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (415 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 151 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* c c) (* a (- c a))) (- (* b b) (* d d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* c c) (* a (- c a))) (- (* b b) (* d d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 152 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 153 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ c a)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ c a)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 154 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (392 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 155 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 156 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 157 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 158 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 159 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 160 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* c c) (* a (- c a))) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* c c) (* a (- c a))) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 161 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 162 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* d (- d b))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* (- c a) c) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* d (- d b))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* (- c a) c) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 163 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ b d)) (* (+ (* c c) (* a (- a c))) (- b d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ b d)) (* (+ (* c c) (* a (- a c))) (- b d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 164 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 165 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d))))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (- (* a a) (* c c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* d d) (* b (- b d))))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (- (* a a) (* c c))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 166 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 167 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 168 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* * [misc]simplify:  iters left: 4 (472 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 169 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (* (+ b d) (- b d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (* (+ b d) (- b d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 170 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 171 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d))) (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d))) (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 172 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 173 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 174 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 175 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (- b d) (+ b d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (- b d) (+ b d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 176 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b b) (* (- d b) d)) (* (+ c a) (- a c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b b) (* (- d b) d)) (* (+ c a) (- a c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 177 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- b d) (+ (* (+ c a) (- a c)) (* (+ b d) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- b d) (+ (* (+ c a) (- a c)) (* (+ b d) (- a c)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 178 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* [exit]simplify:  Simplified to (+ (pow (+ b d) 3) (pow (+ c a) 3))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (+ (pow (+ b d) 3) (pow (+ c a) 3)) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 179 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (218 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 180 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 181 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (305 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 182 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 183 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ c a)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 184 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (209 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 185 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (192 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))) (cbrt (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 186 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (454 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 187 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (492 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* (- c a) c) (* a a)) (- (* b b) (* d d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* (- c a) c) (* a a)) (- (* b b) (* d d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 188 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 189 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* b b) (* d d)) (- a c)) (* (* (- a c) (+ c a)) (- b d))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* b b) (* d d)) (- a c)) (* (* (- a c) (+ c a)) (- b d))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 190 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 191 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (379 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 192 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (492 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 193 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 194 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 195 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 196 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 197 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 198 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (133 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 199 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ d b) (- b d)) (+ (* (- c a) c) (* a a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ d b) (- b d)) (+ (* (- c a) c) (* a a))))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 200 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 201 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (* (- b d) (- a c)) (+ c a)) (* (* (- b d) (- a c)) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (* (- b d) (- a c)) (+ c a)) (* (* (- b d) (- a c)) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 202 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 203 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 204 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (128 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))) (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (+ c a)) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))) (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (+ c a)) (- a c)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 205 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (+ c a) (- b d)) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (+ c a) (- b d)) (- a c)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 206 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (- a c)) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (- a c)) (+ c a)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 207 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (303 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c a) (+ d b)) (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (+ c a) (- b d)) (- a c)))) (* (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (+ c a) (- b d)) (- a c))) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c a) (+ d b)) (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (+ c a) (- b d)) (- a c)))) (* (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (+ c a) (- b d)) (- a c))) (- (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 208 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (* (- a c) (+ d b))) (* (+ c a) (* (- b d) (- a c)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (* (- a c) (+ d b))) (* (+ c a) (* (- b d) (- a c)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 209 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (+ c a) (- b d)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (+ c a) (- b d)) (- a c))))) (cbrt (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 210 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (116 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 211 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 212 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* d (- d b))))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* d (- d b))))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 213 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c)))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 214 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (282 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 215 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (231 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (pow (+ d b) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 216 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (352 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* c (- c a))) (+ (pow b 3) (pow d 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* c (- c a))) (+ (pow b 3) (pow d 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 217 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (238 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 218 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 219 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 220 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (204 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 221 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* [exit]simplify:  Simplified to (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (cbrt (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 222 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))) (+ (* a a) (* c (- c a)))) (* (+ (* b b) (* (- d b) d)) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))) (+ (* a a) (* c (- c a)))) (* (+ (* b b) (* (- d b) d)) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 223 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (474 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (+ b d) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (+ (* (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (+ b d) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (+ (* (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 224 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* b b) (* (- d b) d))) (* (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))) (+ (* a a) (* c (- c a))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* b b) (* (- d b) d))) (* (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))) (+ (* a a) (* c (- c a))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 225 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (495 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c d) (+ b a)) (* (- b d) (+ (* (+ c a) (- a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c d) (+ b a)) (* (- b d) (+ (* (+ c a) (- a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 226 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (465 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 227 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (435 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 228 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (474 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ d a) (+ c b)))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ d a) (+ c b)) (- (* b b) (* d d))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))) (* (+ (pow a 3) (pow c 3)) (+ (* d d) (* b (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ d a) (+ c b)))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ d a) (+ c b)) (- (* b b) (* d d))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))) (* (+ (pow a 3) (pow c 3)) (+ (* d d) (* b (- b d))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 229 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* c (- c a))) (* (+ (+ b d) (+ c a)) (- (* b b) (* d d)))) (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* c (- c a))) (* (+ (+ b d) (+ c a)) (- (* b b) (* d d)))) (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 230 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (494 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (* (- a c) (+ (+ d a) (+ c b)))) (* (* (+ (+ d a) (+ c b)) (- (* a a) (* c c))) (+ (* b b) (* d (- d b))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (* (- a c) (+ (+ d a) (+ c b)))) (* (* (+ (+ d a) (+ c b)) (- (* a a) (* c c))) (+ (* b b) (* d (- d b))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 231 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- a c) (* (- b d) (+ (+ b d) (+ c a)))) (+ (+ b d) (+ c a))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- a c) (* (- b d) (+ (+ b d) (+ c a)))) (+ (+ b d) (+ c a))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 232 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (345 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 233 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (321 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 234 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (* (+ c a) (- a c))) (+ (* (- d b) d) (* b b))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (+ (+ b d) (+ c a)) (* (+ c a) (- a c))) (+ (* (- d b) d) (* b b))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 235 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (494 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* c c) (* a (- c a))) (- (* b b) (* d d)))) (+ (* (+ (* d d) (* b (- b d))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* c c) (* a (- c a))) (- (* b b) (* d d)))) (+ (* (+ (* d d) (* b (- b d))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 236 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ d a) (+ c b)))) (* (- a c) (* (+ (+ d a) (+ c b)) (+ (pow d 3) (pow b 3))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ d a) (+ c b)))) (* (- a c) (* (+ (+ d a) (+ c b)) (+ (pow d 3) (pow b 3))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 237 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (457 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow d 3) (pow b 3)))) (* (- b d) (* (+ (+ b d) (+ c a)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow d 3) (pow b 3)))) (* (- b d) (* (+ (+ b d) (+ c a)) (- a c))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 238 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 239 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (- (+ c a) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (- (+ c a) (+ b d))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 240 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (495 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3)))) (* (+ (+ d a) (+ c b)) (* (- a c) (* (- b d) (+ (+ d a) (+ c b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3)))) (* (+ (+ d a) (+ c b)) (* (- a c) (* (- b d) (+ (+ d a) (+ c b))))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 241 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 242 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (457 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 243 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (275 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))) (* (- b d) (* (- a c) (+ (+ b d) (+ c a)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 244 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (* (- b d) (* (- a c) (+ (+ b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (* (- b d) (* (- a c) (+ (+ b d) (+ c a)))))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 245 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (308 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d))) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d))) (* (- a c) (* (- b d) (+ (+ b d) (+ c a)))))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 246 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (465 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 247 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (345 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 248 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 249 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ b d) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ b d) (- a c)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 250 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (+ (+ b d) (+ c a))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (+ (+ b d) (+ c a)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 251 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (287 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b)))) (+ (pow (+ c a) 3) (pow (+ b d) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b)))) (+ (pow (+ c a) 3) (pow (+ b d) 3)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 252 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 253 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ b d)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 254 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (- (+ c a) (+ b d))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (- (+ c a) (+ b d))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (* (+ c a) (- a c)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 255 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (270 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ b d)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 256 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (249 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (- (+ c a) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (- (+ c a) (+ b d))))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 257 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (168 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (+ b d) (+ c a)) (* (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (+ b d) (+ c a)) (* (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 258 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (+ (pow d 3) (pow b 3)) (+ (+ d b) (+ c a)))) (* (* (+ (+ d b) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* d (- d b)) (* b b)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (+ (pow d 3) (pow b 3)) (+ (+ d b) (+ c a)))) (* (* (+ (+ d b) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* d (- d b)) (* b b)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 259 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ (+ d b) (+ c a)) (+ (pow a 3) (pow c 3))) (- b d)) (* (* (+ (+ d b) (+ c a)) (* (- b d) (+ d b))) (+ (* a a) (* (- c a) c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ (+ d b) (+ c a)) (+ (pow a 3) (pow c 3))) (- b d)) (* (* (+ (+ d b) (+ c a)) (* (- b d) (+ d b))) (+ (* a a) (* (- c a) c)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 260 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 261 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 262 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (+ (pow (+ d b) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (+ (pow (+ d b) 3) (pow (+ c a) 3))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 263 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (384 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ d b) (+ c a)) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ d b) (+ c a)) (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 264 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ c a) (+ d b)))) (* (* (+ (+ c a) (+ d b)) (* (+ d b) (- b d))) (- (* c c) (* a (- c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ c a) (+ d b)))) (* (* (+ (+ c a) (+ d b)) (* (+ d b) (- b d))) (- (* c c) (* a (- c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 265 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (263 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (* (- b d) (* (+ (pow a 3) (pow c 3)) (+ (+ c a) (+ d b)))) (* (- (* c c) (* a (- c a))) (* (* (+ d b) (- b d)) (+ (+ c a) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (* (- b d) (* (+ (pow a 3) (pow c 3)) (+ (+ c a) (+ d b)))) (* (- (* c c) (* a (- c a))) (* (* (+ d b) (- b d)) (+ (+ c a) (+ d b))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 266 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (466 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (* (+ (+ c a) (+ d b)) (- (* a a) (* c c))) (- (* d d) (* b (- d b)))) (* (* (+ (+ c a) (+ d b)) (- a c)) (+ (pow b 3) (pow d 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (* (+ (+ c a) (+ d b)) (- (* a a) (* c c))) (- (* d d) (* b (- d b)))) (* (* (+ (+ c a) (+ d b)) (- a c)) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 267 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a)))) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))) (* (* (- b d) (+ (* (+ d b) (- a c)) (* (- a c) (+ c a)))) (+ (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 268 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (317 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 269 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 270 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 271 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (+ (* (* (+ (+ a c) (+ b d)) (* (- b d) (+ b d))) (+ (* a a) (* (- c a) c))) (* (* (- b d) (+ (pow c 3) (pow a 3))) (+ (+ a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (+ (* (* (+ (+ a c) (+ b d)) (* (- b d) (+ b d))) (+ (* a a) (* (- c a) c))) (* (* (- b d) (+ (pow c 3) (pow a 3))) (+ (+ a c) (+ b d)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 272 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (+ a c) (+ b d)) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (- (* d d) (* b (- d b))) (* (* (- a c) (+ a c)) (+ (+ a c) (+ b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (+ a c) (+ b d)) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (- (* d d) (* b (- d b))) (* (* (- a c) (+ a c)) (+ (+ a c) (+ b d))))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 273 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 274 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 275 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 276 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (+ (pow b 3) (pow d 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (+ (pow b 3) (pow d 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 277 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (332 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow a 3) (pow c 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow a 3) (pow c 3)) (- b d))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 278 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (429 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 279 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (248 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (+ a c) (+ b d))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 280 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 281 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (281 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (- (+ a c) (+ b d))))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 282 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ c d) (+ b a))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ c d) (+ b a))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 283 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (317 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 284 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ c d) (+ b a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ c d) (+ b a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 285 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))) (* (- b d) (+ (* (- a c) (+ c a)) (* (- a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))) (* (- b d) (+ (* (- a c) (+ c a)) (* (- a c) (+ b d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 286 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (+ c d) (+ b a)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (+ c d) (+ b a)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 287 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))) (- (+ c a) (+ b d))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))) (- (+ c a) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 288 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (465 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (+ c a) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))) (* (+ d b) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (+ c a) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))) (* (+ d b) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 289 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 290 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b))) (- (+ c a) (+ d b))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b))) (- (+ c a) (+ d b))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 291 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (- b d) (+ (* (+ c a) (- a c)) (* (+ d b) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (- b d) (+ (* (+ c a) (- a c)) (* (+ d b) (- a c)))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 292 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (+ c a) (+ d b)))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 293 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (200 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (+ c d) (+ a b)) (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (+ c d) (+ a b)) (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 294 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a)))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 295 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ b d)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow c 3) (pow a 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ b d)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))
* * * * [misc]progress:  [ 296 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (371 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (- a c) (+ c a)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (- a c) (+ c a)) (- (* d d) (* b (- d b)))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 297 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))) (cbrt (* (- a c) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (* (+ c a) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ b d))))) (cbrt (* (- a c) (- b d))))))
* * * * [misc]progress:  [ 298 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (214 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))
* * * * [misc]progress:  [ 299 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (cbrt (- (+ a c) (+ b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (207 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))))) (cbrt (- (+ a c) (+ b d))))))
* * * * [misc]progress:  [ 300 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (+ c a) (+ d b)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 301 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (- (* c c) (* a (- c a))))) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (- (* c c) (* a (- c a))))) (+ (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 302 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 303 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (455 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (+ (pow d 3) (pow b 3)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 304 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (+ c a) (+ d b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 305 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 306 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (458 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (+ c a) (+ d b)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 307 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (+ d b) (+ c a))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (+ (+ d b) (+ c a))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 308 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))) (+ (+ d a) (+ c b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (- (* d d) (* b (- d b))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))) (+ (+ d a) (+ c b)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 309 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (* (+ (+ d b) (+ c a)) (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d))))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 310 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (325 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (+ c d) (+ a b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (+ c d) (+ a b))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 311 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (290 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 312 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (+ a c) (+ b d))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 313 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (454 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 314 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 315 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 316 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 317 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (367 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (+ d a) (+ b c)) (+ (+ d a) (+ b c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ a c) (+ b d)) (* (+ (+ d a) (+ b c)) (+ (+ d a) (+ b c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 318 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (479 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 319 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ a c)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (cbrt (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 320 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (441 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (- (* d d) (* b (- d b))))) (* (+ (+ c d) (+ b a)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (- (* d d) (* b (- d b))))) (* (+ (+ c d) (+ b a)) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 321 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (+ d a) (+ b c))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (+ d a) (+ b c))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (cbrt (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 322 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (+ (+ b d) (+ a c)) (+ (pow (+ a c) 3) (pow (+ b d) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (+ (+ b d) (+ a c)) (+ (pow (+ a c) 3) (pow (+ b d) 3))))) (cbrt (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 323 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (277 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))) (cbrt (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 324 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (449 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 325 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (329 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 326 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (430 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 327 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (311 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 328 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (208 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (+ c d) (+ b a))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (+ c d) (+ b a)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 329 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (256 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (* (- (+ c a) (+ b d)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (* (- (+ c a) (+ b d)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))) (cbrt (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 330 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (* (- (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 331 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (+ c a) (+ d b)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))) (cbrt (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* * * * [misc]progress:  [ 332 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (101 enodes)
* * [misc]simplify:  iters left: 4 (464 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (+ c a) (+ d b)) (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b)))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (+ c a) (+ d b)) (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b)))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* * * * [misc]progress:  [ 333 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (350 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (- a c)) (+ c a))) (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (* (- a c) (+ d b)) (- b d)) (* (* (- b d) (- a c)) (+ c a))) (* (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b))) (- (+ c a) (+ d b))))) (cbrt (* (- (+ a c) (+ b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 334 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (325 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (- (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))) (cbrt (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 335 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))) (+ (+ c d) (+ a b))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b)))) (+ (+ c d) (+ a b)))) (cbrt (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d)))))))
* * * * [misc]progress:  [ 336 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 337 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))
* * * * [misc]progress:  [ 338 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d)))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 339 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d)))) (cbrt (* (- a c) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (- b d) (* (- a c) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (- b d) (* (- a c) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (* (- a c) (- b d))))))
* * * * [misc]progress:  [ 340 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d)))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (245 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))
* * * * [misc]progress:  [ 341 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d)))) (cbrt (- (+ a c) (+ b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (+ a c) (+ b d)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (191 enodes)
* [exit]simplify:  Simplified to (cbrt (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))))) (cbrt (- (+ a c) (+ b d))))))
* * * * [misc]progress:  [ 342 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 343 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (284 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (+ d b) (- b d)))))) (cbrt (* (+ (* a a) (- (* c c) (* a c))) (- b d))))))
* * * * [misc]progress:  [ 344 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (361 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))) (cbrt (* (- a c) (+ (* b b) (- (* d d) (* b d))))))))
* * * * [misc]progress:  [ 345 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (- a c) (- b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))))) (cbrt (* (- a c) (- b d))))))
* * * * [misc]progress:  [ 346 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (cbrt (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))))))
* * * * [misc]progress:  [ 347 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (/ (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (- (+ a c) (+ b d))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (cbrt (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (/ (cbrt (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (+ (+ c d) (+ a b)) (+ (+ c d) (+ a b))))) (cbrt (- (+ a c) (+ b d))))))
* * * * [misc]progress:  [ 348 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* (* (cbrt (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) (cbrt (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))) (cbrt (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 349 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (* (* (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 350 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (+ (+ a c) (+ b d))))>
* [enter]simplify:  Simplifying (+ a c)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ c a)
* [misc]simplify:  Simplified (2 2 1) to (λ (a b c d) (* 2 (+ (+ c a) (+ b d))))
* * * * [misc]progress:  [ 351 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* (sqrt (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) (sqrt (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 352 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (* 1 (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))))))>
* * * * [misc]progress:  [ 353 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ (+ 1 1) 1)))))
* [enter]simplify:  Simplifying (+ (+ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 1) 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))
* * * * [misc]progress:  [ 354 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ 2 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ 2 1)))))
* [enter]simplify:  Simplifying (+ 2 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ 1 2)))))
* * * * [misc]progress:  [ 355 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ (+ 1 1) 1)))))
* [enter]simplify:  Simplifying (+ (+ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 1) 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))
* * * * [misc]progress:  [ 356 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (pow (+ (+ c d) (+ b a)) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (pow (+ (+ c d) (+ b a)) 3) 1))))
* * * * [misc]progress:  [ 357 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (pow (+ (+ c d) (+ b a)) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (pow (+ (+ c d) (+ b a)) 3) 1))))
* * * * [misc]progress:  [ 358 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) 3))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) 3))))
* * * * [misc]progress:  [ 359 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ (+ 1 1) 1)))))
* * * * [misc]progress:  [ 360 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ 2 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ 2 1)))))
* * * * [misc]progress:  [ 361 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (+ (+ a c) (+ b d)) (+ (+ 1 1) 1)))))>
* [enter]simplify:  Simplifying (+ (+ a c) (+ b d))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (+ (+ b d) (+ c a))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (pow (+ (+ b d) (+ c a)) (+ (+ 1 1) 1)))))
* * * * [misc]progress:  [ 362 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (pow (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) 1))))>
* * * * [misc]progress:  [ 363 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (exp (+ (+ (log (+ (+ a c) (+ b d))) (log (+ (+ a c) (+ b d)))) (log (+ (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (+ (+ a c) (+ b d))) (log (+ (+ a c) (+ b d)))) (log (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (+ a d) (+ c b))) (+ (log (+ (+ a d) (+ c b))) (log (+ (+ a d) (+ c b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (exp (+ (log (+ (+ a d) (+ c b))) (+ (log (+ (+ a d) (+ c b))) (log (+ (+ a d) (+ c b)))))))))
* * * * [misc]progress:  [ 364 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (exp (+ (log (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (log (+ (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (+ (log (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (log (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* [exit]simplify:  Simplified to (+ (log (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b)))) (log (+ (+ d a) (+ c b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (exp (+ (log (* (+ (+ d a) (+ c b)) (+ (+ d a) (+ c b)))) (log (+ (+ d a) (+ c b))))))))
* * * * [misc]progress:  [ 365 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (exp (log (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 366 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (log (exp (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 367 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (cbrt (* (* (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (pow (pow (+ (+ b d) (+ c a)) 3) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (cbrt (pow (pow (+ (+ b d) (+ c a)) 3) 3)))))
* * * * [misc]progress:  [ 368 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (cbrt (* (* (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (pow (pow (+ (+ b d) (+ c a)) 3) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (cbrt (pow (pow (+ (+ b d) (+ c a)) 3) 3)))))
* * * * [misc]progress:  [ 369 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (* (* (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))) (cbrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 370 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (cbrt (* (* (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 371 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (* (sqrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d)))) (sqrt (* (* (+ (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (+ a c) (+ b d))))))))>
* * * * [misc]progress:  [ 372 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (341 enodes)
* [exit]simplify:  Simplified to (pow (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) 3) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (201 enodes)
* [exit]simplify:  Simplified to (pow (* (- (* d d) (* b (- d b))) (+ (* a a) (* (- c a) c))) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) 3) (pow (* (- (* d d) (* b (- d b))) (+ (* a a) (* (- c a) c))) 3)))))
* * * * [misc]progress:  [ 373 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (385 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (- b d) (+ d b)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ d b)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a))))) (* (+ (* a a) (* c (- c a))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ d b)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a))))) (* (+ (* a a) (* c (- c a))) (- b d)))))))
* * * * [misc]progress:  [ 374 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (490 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (277 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))) (* (+ (* (- d b) d) (* b b)) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))) (* (+ (* (- d b) d) (* b b)) (- a c)))))))
* * * * [misc]progress:  [ 375 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (230 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))))) (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 376 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (377 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a))))))))))
* * * * [misc]progress:  [ 377 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (367 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (236 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (- (- c b) (- d a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (- (- c b) (- d a))))))))
* * * * [misc]progress:  [ 378 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (216 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* b (- b d)) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (* (+ (* b (- b d)) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 379 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (218 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (* a a) (* c (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (* a a) (* c (- c a))))))))))
* * * * [misc]progress:  [ 380 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (299 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* a (- a c)) (* c c)) (- a c)) (- (* d d) (* b (- d b)))) (* (+ (* a (- a c)) (* c c)) (* (- (* d d) (* b (- d b))) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a (- a c)) (* c c)) (- a c)) (- (* d d) (* b (- d b)))) (* (+ (* a (- a c)) (* c c)) (* (- (* d d) (* b (- d b))) (- b d))))))))
* * * * [misc]progress:  [ 381 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (245 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (* (- b d) (* (- a c) (- b d)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (* (+ d b) (- b d)) (+ (* a a) (* c (- c a))))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a)))))) (* (* (- (* c c) (* a (- c a))) (* (- b d) (* (- a c) (- b d)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 382 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (428 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (402 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (- b d) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))))) (* (* (- (* c c) (* a (- c a))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (- b d) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))))))))
* * * * [misc]progress:  [ 383 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a))))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a))))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (+ (* a a) (* c (- c a))) (* (- b d) (- (+ a c) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* b b) (* d d)) (+ (* a a) (* c (- c a))))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (+ (* a a) (* c (- c a))) (* (- b d) (- (+ a c) (+ d b)))))))))
* * * * [misc]progress:  [ 384 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c)))) (* (+ (* (- d b) d) (* b b)) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c)))) (* (+ (* (- d b) d) (* b b)) (- a c)))))))
* * * * [misc]progress:  [ 385 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (296 enodes)
* [exit]simplify:  Simplified to (* (+ (* a (- a c)) (* c c)) (* (* (- (* d d) (* b (- d b))) (- (* d d) (* b (- d b)))) (* (* (- a c) (- b d)) (+ (* a (- a c)) (* c c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (- b d) (+ d b)))))) (* (+ (* a (- a c)) (* c c)) (* (* (- (* d d) (* b (- d b))) (- (* d d) (* b (- d b)))) (* (* (- a c) (- b d)) (+ (* a (- a c)) (* c c)))))))))
* * * * [misc]progress:  [ 386 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* (- d b) d) (* b b)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- a c))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (* (* (+ (* (- d b) d) (* b b)) (- a c)) (* (+ (* (- d b) d) (* b b)) (- a c))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))))))))
* * * * [misc]progress:  [ 387 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (* (- b d) (+ c a)) (- a c)) (* (- a c) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (* (- b d) (+ c a)) (- a c)) (* (- a c) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (* (- b d) (- a c)))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (* (* (- b d) (+ c a)) (- a c)) (* (- a c) (* (- b d) (+ d b)))))) (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (* (- b d) (- a c)))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 388 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (454 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (+ (* d (- d b)) (* b b)) (- a c))) (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* (- c a) c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (+ (* d (- d b)) (* b b)) (- a c))) (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* (- c a) c))))))))
* * * * [misc]progress:  [ 389 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (305 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (- (+ a c) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (* (* (- a c) (+ c a)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (- (+ a c) (+ d b)))))))))
* * * * [misc]progress:  [ 390 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (- a c) (- b d)) (+ d b)) (* (* (- a c) (- b d)) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (- a c) (- b d)) (+ d b)) (* (* (- a c) (- b d)) (+ c a))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c))))) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (- a c) (- b d)) (+ d b)) (* (* (- a c) (- b d)) (+ c a))))) (* (* (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c)))) (* (- (* d d) (* b (- d b))) (+ (* c c) (* a (- a c))))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 391 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (* (- a c) (- b d))) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d)))))) (* (* (* (- b d) (* (- a c) (- b d))) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 392 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b)))) (+ (* (+ d b) (* (- b d) (- a c))) (* (- (* a a) (* c c)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b)))) (+ (* (+ d b) (* (- b d) (- a c))) (* (- (* a a) (* c c)) (- b d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (295 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b)))) (+ (* (+ d b) (* (- b d) (- a c))) (* (- (* a a) (* c c)) (- b d))))) (* (* (* (- a c) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 393 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c)))) (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c)))) (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c)))) (* (- b d) (+ (* (- a c) (+ d b)) (* (+ c a) (- a c)))))) (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 394 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (+ (* (* d d) (* (- a c) (- b d))) (* (* b (- b d)) (* (- a c) (- b d))))) (+ (* a (- a c)) (* c c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a)))))) (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (+ (* (* d d) (* (- a c) (- b d))) (* (* b (- b d)) (* (- a c) (- b d))))) (+ (* a (- a c)) (* c c)))))))
* * * * [misc]progress:  [ 395 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (428 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* d d) (* (- a c) (- b d))) (* (* b (- b d)) (* (- a c) (- b d)))) (* (+ (* a a) (* c (- c a))) (- (+ a c) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (+ (* (* d d) (* (- a c) (- b d))) (* (* b (- b d)) (* (- a c) (- b d)))) (* (+ (* a a) (* c (- c a))) (- (+ a c) (+ d b))))))))
* * * * [misc]progress:  [ 396 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (+ (* (+ d b) (- (+ d b) (+ a c))) (* (+ a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* c (- c a)))) (+ (* (+ d b) (- (+ d b) (+ a c))) (* (+ a c) (+ a c)))))))))
* * * * [misc]progress:  [ 397 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (428 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* (- c a) c))) (+ (* a a) (* (- c a) c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (+ d b) (- b d)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))) (* (* (- b d) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* (- c a) c))) (+ (* a a) (* (- c a) c))))))))
* * * * [misc]progress:  [ 398 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (- a c) (- (* d d) (* b (- d b))))) (* (- (* d d) (* b (- d b))) (+ (* a (- a c)) (* c c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))) (* (- a c) (- (* d d) (* b (- d b))))) (* (- (* d d) (* b (- d b))) (+ (* a (- a c)) (* c c))))))))
* * * * [misc]progress:  [ 399 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (447 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- a c)) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* (- c a) c))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (- b d) (- a c)) (* (* (- (* d d) (* b (- d b))) (+ (* a a) (* (- c a) c))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))))))))
* * * * [misc]progress:  [ 400 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a a) (* (- c a) c)) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (- (* d d) (* b (- d b))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (+ (* a a) (* (- c a) c)) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))) (* (- (* d d) (* b (- d b))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c))))))))))
* * * * [misc]progress:  [ 401 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (+ (* (- (- c d) (- b a)) (* (+ d b) (+ d b))) (* (- (- c d) (- b a)) (* (+ a c) (- (- c d) (- b a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (+ (* (- (- c d) (- b a)) (* (+ d b) (+ d b))) (* (- (- c d) (- b a)) (* (+ a c) (- (- c d) (- b a))))))))))
* * * * [misc]progress:  [ 402 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (356 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (235 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (+ (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- (- c b) (- d a)) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a))))))))))
* * * * [misc]progress:  [ 403 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (* (- (- c d) (- b a)) (- b d)) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* c (- c a))) (* (+ d b) (- b d)))))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (* (- (- c d) (- b a)) (- b d)) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 404 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* [exit]simplify:  Simplified to (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (300 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c d) (- b a)) (- a c)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (pow d 3) (pow b 3)))))) (* (* (* (- (- c d) (- b a)) (- a c)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c))))))))
* * * * [misc]progress:  [ 405 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c d) (- b a)) (+ (* (- d b) d) (* b b))) (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (- (- c d) (- b a)) (+ (* (- d b) d) (* b b))) (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 406 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (394 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (+ (* (* (+ d b) (+ d b)) (- (- c d) (- b a))) (* (* (+ a c) (- (- c d) (- b a))) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (+ (* (* (+ d b) (+ d b)) (- (- c d) (- b a))) (* (* (+ a c) (- (- c d) (- b a))) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 407 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (221 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c d) (- b a)) (+ (* d (- d b)) (* b b))) (* (+ (* a a) (* c (- c a))) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* c (- c a))) (+ (pow d 3) (pow b 3))))) (* (* (- (- c d) (- b a)) (+ (* d (- d b)) (* b b))) (* (+ (* a a) (* c (- c a))) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 408 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))))))))
* * * * [misc]progress:  [ 409 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (398 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (216 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (* a a) (* c (- c a))))) (* (+ (* d d) (* b (- b d))) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (- b d) (+ (* a a) (* c (- c a))))) (* (+ (* d d) (* b (- b d))) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 410 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (* d (- d b)) (* b b)) (- (* a a) (* c c))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (* d (- d b)) (* b b)) (- (* a a) (* c c))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d d) (* b (- b d))) (+ (* c c) (* a (- a c)))) (* (+ (* d d) (* b (- b d))) (* (+ (* c c) (* a (- a c))) (* (- b d) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (* d (- d b)) (* b b)) (- (* a a) (* c c))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (* (* (+ (* d d) (* b (- b d))) (+ (* c c) (* a (- a c)))) (* (+ (* d d) (* b (- b d))) (* (+ (* c c) (* a (- a c))) (* (- b d) (- a c)))))))))
* * * * [misc]progress:  [ 411 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (* (* (- b d) (- a c)) (- b d)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (* (- a c) (+ (* (+ d b) (- b d)) (* (- b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* d d) (* b (- b d))) (+ (pow a 3) (pow c 3))))) (* (* (+ (* d d) (* b (- b d))) (- (* c c) (* a (- c a)))) (* (* (* (- b d) (- a c)) (- b d)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 412 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))) (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))))) (* (* (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 413 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a a) (* c (- c a))) (* (- b d) (- (+ a c) (+ b d)))) (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ d b) (+ c a))))) (* (* (+ (* a a) (* c (- c a))) (* (- b d) (- (+ a c) (+ b d)))) (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 414 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (385 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))) (* (- (* c c) (* a (- c a))) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))) (* (+ (* (+ (* b (- b d)) (* d d)) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))))) (* (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))) (* (- (* c c) (* a (- c a))) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 415 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (201 enodes)
* [exit]simplify:  Simplified to (pow (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) 3) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* [exit]simplify:  Simplified to (pow (* (- b d) (- (* c c) (* a (- c a)))) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d)))) 3) (pow (* (- b d) (- (* c c) (* a (- c a)))) 3)))))
* * * * [misc]progress:  [ 416 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (407 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (- a c) (+ c a)) (+ (* b (- b d)) (* d d))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- a c) (+ c a)) (+ (* b (- b d)) (* d d))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (* c c) (* a (- a c))))) (* (- a c) (+ (* b (- b d)) (* d d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- a c) (+ c a)) (+ (* b (- b d)) (* d d))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))))) (* (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (* c c) (* a (- a c))))) (* (- a c) (+ (* b (- b d)) (* d d))))))))
* * * * [misc]progress:  [ 417 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- b d) (* (- b d) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))) (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- b d) (* (- b d) (- a c)))))))))
* * * * [misc]progress:  [ 418 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (303 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a))))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))))))
* * * * [misc]progress:  [ 419 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (155 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- (+ a c) (+ b d)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (- (* (+ c a) (+ c a)) (* (+ d b) (+ d b))) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- (+ a c) (+ b d)) (- b d))))))))
* * * * [misc]progress:  [ 420 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow a 3) (pow c 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* (- d b) d) (* b b)) (+ (* (- d b) d) (* b b))) (* (+ (* c c) (* a (- a c))) (* (- a c) (- b d)))) (+ (* c c) (* a (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (+ (* (+ (pow d 3) (pow b 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow a 3) (pow c 3))))) (* (* (* (+ (* (- d b) d) (* b b)) (+ (* (- d b) d) (* b b))) (* (+ (* c c) (* a (- a c))) (* (- a c) (- b d)))) (+ (* c c) (* a (- a c))))))))
* * * * [misc]progress:  [ 421 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (* c c) (* a (- a c))))) (* (- a c) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (* (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (* c c) (* a (- a c))))) (* (- a c) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 422 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (443 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* a (- a c)) (* c c))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))) (* (* (- b d) (+ (* a (- a c)) (* c c))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))))))))
* * * * [misc]progress:  [ 423 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (466 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (- b d) (- a c)) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (- b d) (- a c)) (+ c a)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))) (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (* (- b d) (- a c)) (+ c a)))) (* (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))) (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 424 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (470 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c))))) (* (+ (* (- b d) (* d d)) (* (- b d) (* b (- b d)))) (+ (* c c) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (- (* a a) (* c c)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))))) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (* (- a c) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c))))) (* (+ (* (- b d) (* d d)) (* (- b d) (* b (- b d)))) (+ (* c c) (* a (- a c)))))))))
* * * * [misc]progress:  [ 425 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (451 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (- (- c b) (- d a))) (* (- (* c c) (* a (- c a))) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))) (* (* (+ (* d (- d b)) (* b b)) (- (- c b) (- d a))) (* (- (* c c) (* a (- c a))) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 426 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (256 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (* (- b d) (- b d))) (+ (* a a) (* (- c a) c))) (* (+ (* b b) (* d (- d b))) (+ (* a a) (* (- c a) c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c c) (* a (- a c))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))))) (* (* (* (- a c) (* (- b d) (- b d))) (+ (* a a) (* (- c a) c))) (* (+ (* b b) (* d (- d b))) (+ (* a a) (* (- c a) c))))))))
* * * * [misc]progress:  [ 427 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (286 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- a c) (* (- b d) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))))) (* (* (- b d) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (* (- a c) (* (- b d) (- b d)))))))))
* * * * [misc]progress:  [ 428 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (466 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* d d) (* b (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c))))) (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b))))) (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* d d) (* b (- b d)))))))))
* * * * [misc]progress:  [ 429 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (285 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a)))) (* (- a c) (+ (* (- b d) (+ d b)) (* (- b d) (+ c a))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (- (* c c) (* a (- c a))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- b d)))))))
* * * * [misc]progress:  [ 430 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (340 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (* (* (- b d) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (+ d b) (- b d)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d)))))) (* (* (- (* c c) (* a (- c a))) (* (* (- b d) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))))))
* * * * [misc]progress:  [ 431 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (184 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- b d)) (* (- (* c c) (* a (- c a))) (* (- b d) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ d b) (+ c a)) (- (+ c a) (+ d b))) (* (- a c) (+ (* (+ c a) (- b d)) (* (+ d b) (- b d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (+ d b) (- b d))))) (* (* (- a c) (- b d)) (* (- (* c c) (* a (- c a))) (* (- b d) (- (+ a c) (+ b d)))))))))
* * * * [misc]progress:  [ 432 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d)))))) (* (* (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- b d) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 433 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (306 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* a a) (* c (- c a)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c))))) (* (- b d) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))) (* (* (* (- b d) (+ (* a a) (* c (- c a)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c))))) (* (- b d) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 434 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (470 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (407 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b b) (* d (- d b))) (- a c)) (* (* (- b d) (+ (* a (- a c)) (* c c))) (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (* (+ (* d d) (* b (- b d))) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (+ (* b b) (* d (- d b))) (- a c)) (* (* (- b d) (+ (* a (- a c)) (* c c))) (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c)))))))))
* * * * [misc]progress:  [ 435 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (333 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c c) (* a (- a c))) (* (- b d) (* (- a c) (- b d)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c c) (* a (- a c))) (* (- b d) (+ d b)))) (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (+ (* c c) (* a (- a c))) (* (- b d) (* (- a c) (- b d)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))))))
* * * * [misc]progress:  [ 436 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (270 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* c c) (* a (- c a)))) (* (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c))) (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))) (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (+ (pow (+ c a) 3) (pow (+ d b) 3)))) (* (* (- b d) (- (* c c) (* a (- c a)))) (* (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c))) (+ (* (- (+ b d) (+ a c)) (+ b d)) (* (+ a c) (+ a c)))))))))
* * * * [misc]progress:  [ 437 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (318 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (339 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c d) (- b a)) (- b d)) (- (* c c) (* a (- c a)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ c a) 3) (pow (+ d b) 3))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))))) (* (* (* (- (- c d) (- b a)) (- b d)) (- (* c c) (* a (- c a)))) (- (* (+ b d) (+ b d)) (* (+ a c) (- (+ b d) (+ a c)))))))))
* * * * [misc]progress:  [ 438 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (114 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (- (* d d) (* b (- d b)))) (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3))) (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (- (* c c) (* a (- c a))) (- (* d d) (* b (- d b)))) (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 439 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (242 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a a) (* c (- c a))) (* (- b d) (- (- c b) (- d a)))) (* (- b d) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (+ (* a a) (* c (- c a))) (* (- b d) (- (- c b) (- d a)))) (* (- b d) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 440 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (437 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (262 enodes)
* [exit]simplify:  Simplified to (* (+ (* c c) (* a (- a c))) (* (* (- (- c b) (- d a)) (* (- b d) (- a c))) (- (* d d) (* b (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ c a))) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (+ (* c c) (* a (- a c))) (* (* (- (- c b) (- d a)) (* (- b d) (- a c))) (- (* d d) (* b (- d b)))))))))
* * * * [misc]progress:  [ 441 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (- c d) (- b a))) (+ (* (* (- b d) (- a c)) (* c c)) (* (* (- b d) (- a c)) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (- b d) (+ d b)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a (- a c)) (* c c)) (* (- b d) (+ d b))))) (* (* (- b d) (- (- c d) (- b a))) (+ (* (* (- b d) (- a c)) (* c c)) (* (* (- b d) (- a c)) (* a (- a c)))))))))
* * * * [misc]progress:  [ 442 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (304 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c b) (- d a)))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c b) (- d a)))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))))))
* * * * [misc]progress:  [ 443 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (154 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (- (- c d) (- b a)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (* (- b d) (+ d b))))) (* (* (- b d) (+ (* a a) (* c (- c a)))) (* (- (- c d) (- b a)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 444 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (298 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- a c) (- (* d d) (* b (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a)))) (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a))))) (* (- a c) (- (* d d) (* b (- d b)))))))))
* * * * [misc]progress:  [ 445 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (300 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- a c)) (* (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (- b d) (- a c)) (* (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))))))))
* * * * [misc]progress:  [ 446 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (- a c) (+ (* (- d b) d) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (- a c) (+ (* (- d b) d) (* b b)))))))))
* * * * [misc]progress:  [ 447 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (* (- b d) (+ a c)) (- a c)) (* (* (- a c) (+ b d)) (- b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (* (- b d) (+ a c)) (- a c)) (* (* (- a c) (+ b d)) (- b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (* (- a c) (- a c))) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (* (* (- b d) (+ a c)) (- a c)) (* (* (- a c) (+ b d)) (- b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- b d) (* (- a c) (- a c))) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c)))))))))
* * * * [misc]progress:  [ 448 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (456 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (* (+ (* d (- d b)) (* b b)) (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* c (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* (- c a) c))) (* (+ (* (- d b) d) (* b b)) (+ (pow a 3) (pow c 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (* (* (- a c) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (* (+ (* d (- d b)) (* b b)) (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* c (- c a))))))))))
* * * * [misc]progress:  [ 449 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- (+ c a) (+ b d))) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))) (* (* (* (- a c) (- (+ c a) (+ b d))) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 450 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (301 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c c) (* a (- a c))) (- b d)) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (+ (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3))) (* (+ (* d (- d b)) (* b b)) (+ (pow a 3) (pow c 3))))) (* (* (+ (* c c) (* a (- a c))) (- b d)) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* c c) (* a (- a c))))))))))
* * * * [misc]progress:  [ 451 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (* (- (* c c) (* a (- c a))) (- b d)) (* (- (* c c) (* a (- c a))) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (* a (- a c)) (* c c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (* (- (* c c) (* a (- c a))) (- b d)) (* (- (* c c) (* a (- c a))) (- b d))))))))
* * * * [misc]progress:  [ 452 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (- b d)) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (+ (* a (- a c)) (* c c)) (- b d)) (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))))))))
* * * * [misc]progress:  [ 453 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (- a c) (+ (* (- b d) (+ b d)) (* (- b d) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (- a c) (+ (* (- b d) (+ b d)) (* (- b d) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))) (* (- a c) (+ (* (- b d) (+ b d)) (* (- b d) (+ a c)))))) (* (* (* (- a c) (- b d)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 454 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (* c c) (* a (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))) (+ (pow (+ b d) 3) (pow (+ a c) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* c c) (* a (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (- a c) (- b d)) (+ (* a (- a c)) (* c c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (+ (* (- d b) d) (* b b)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* c c) (* a (- c a))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (* (* (* (* (- a c) (- b d)) (+ (* a (- a c)) (* c c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (+ (* (- d b) d) (* b b)))))))
* * * * [misc]progress:  [ 455 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (427 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (255 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- (- c b) (- d a))) (+ (* a (- a c)) (* c c))) (* (- a c) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (* (+ (* a a) (* (- c a) c)) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (- a c) (+ a c))))) (* (* (* (- b d) (- (- c b) (- d a))) (+ (* a (- a c)) (* c c))) (* (- a c) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 456 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (490 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a (- a c)) (* c c)) (+ (pow b 3) (pow d 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a (- a c)) (* c c)) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (277 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (* (+ (* (- d b) d) (* b b)) (+ (* c (- c a)) (* a a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a (- a c)) (* c c)) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (* (+ (* (- d b) d) (* b b)) (+ (* c (- c a)) (* a a))))))))
* * * * [misc]progress:  [ 457 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (407 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ b d) (- b d)) (+ (* a (- a c)) (* c c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ b d) (- b d)) (+ (* a (- a c)) (* c c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (* (+ (* c (- c a)) (* a a)) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ b d) (- b d)) (+ (* a (- a c)) (* c c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (* (+ (* c (- c a)) (* a a)) (- b d)))))))
* * * * [misc]progress:  [ 458 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (326 enodes)
* [exit]simplify:  Simplified to (pow (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) 3) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (167 enodes)
* [exit]simplify:  Simplified to (pow (* (- a c) (+ (* d (- d b)) (* b b))) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) 3) (pow (* (- a c) (+ (* d (- d b)) (* b b))) 3)))))
* * * * [misc]progress:  [ 459 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (189 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))) (* (+ (* d (- d b)) (* b b)) (* (- a c) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))) (* (+ (* d (- d b)) (* b b)) (* (- a c) (- a c))))))))
* * * * [misc]progress:  [ 460 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (353 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (- a c) (+ (* d (- d b)) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (- a c) (+ (* d (- d b)) (* b b)))))))))
* * * * [misc]progress:  [ 461 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (202 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (* (- a c) (- a c))) (* (- (- c d) (- b a)) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (+ (* (- d b) d) (* b b)) (* (- a c) (- a c))) (* (- (- c d) (- b a)) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 462 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (- b d) (+ a c)) (- a c)) (* (+ b d) (* (- b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ a c)) (- a c)) (* (+ b d) (* (- b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (297 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (- a c) (- a c)) (- b d)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ a c)) (- a c)) (* (+ b d) (* (- b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))) (* (* (* (* (- a c) (- a c)) (- b d)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 463 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (442 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* d d) (* (- b d) (- a c))) (* (* b (- b d)) (* (- b d) (- a c)))) (* (+ (* a a) (* c (- c a))) (* (- b d) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))) (* (+ (* (* d d) (* (- b d) (- a c))) (* (* b (- b d)) (* (- b d) (- a c)))) (* (+ (* a a) (* c (- c a))) (* (- b d) (- a c))))))))
* * * * [misc]progress:  [ 464 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (* (- b d) (* (- a c) (- a c))) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (* (- b d) (* (- a c) (- a c))) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 465 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (358 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d)))) (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d)))) (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (182 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (* (- b d) (- a c)) (* (- b d) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d)))) (* (- a c) (+ (* (- b d) (+ a c)) (* (+ b d) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (+ a c) (- a c))))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (* (- b d) (- a c)) (* (- b d) (- a c))))))))
* * * * [misc]progress:  [ 466 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (- a c) (- a c)) (- b d)) (+ (* (- d b) d) (* b b))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (* (* (- a c) (- a c)) (- b d)) (+ (* (- d b) d) (* b b))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 467 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (396 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (219 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- (- c b) (- d a))) (+ (* (* d d) (* (- b d) (- a c))) (* (* b (- b d)) (* (- b d) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (* (- a c) (- (- c b) (- d a))) (+ (* (* d d) (* (- b d) (- a c))) (* (* b (- b d)) (* (- b d) (- a c)))))))))
* * * * [misc]progress:  [ 468 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (473 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ (* d (- d b)) (* b b)))) (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (+ (* c c) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ (* d (- d b)) (* b b)))) (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (+ (* c c) (* a (- a c)))))))))
* * * * [misc]progress:  [ 469 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (446 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (- (* c c) (* a (- c a))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (- (* c c) (* a (- c a))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (* b b) (* d d)) (- (* c c) (* a (- c a))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- b d) (+ (* c c) (* a (- a c)))) (* (* (- a c) (+ (* (- d b) d) (* b b))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a)))))))))
* * * * [misc]progress:  [ 470 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (380 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (* d (- d b)) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (* d (- d b)) (* b b)))))))))
* * * * [misc]progress:  [ 471 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (409 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (* (- b d) (- a c))) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (* (- b d) (- a c))) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 472 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (347 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* d (- d b)) (* b b))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a)))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (* (* (* (- a c) (+ (* d (- d b)) (* b b))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a)))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))))))))
* * * * [misc]progress:  [ 473 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (400 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (- (- c b) (- d a)) (- a c)) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (- (- c b) (- d a)) (- a c)) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 474 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (126 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c (- c a)) (* a a)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (- (+ c a) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d (- d b)) (* b b)) (* (- a c) (+ a c))))) (* (* (+ (* c (- c a)) (* a a)) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (* (- a c) (- (+ c a) (+ b d)))))))))
* * * * [misc]progress:  [ 475 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (* (+ (* a (- a c)) (* c c)) (+ b d)) (* (- b d) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ (pow c 3) (pow a 3))) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))) (* (* (+ (* a (- a c)) (* c c)) (+ b d)) (* (- b d) (* (- (+ a c) (+ b d)) (+ (+ a c) (+ b d)))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (248 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (* (- a c) (- (* d d) (* b (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (* (- a c) (- (* d d) (* b (- d b)))))))))
* * * * [misc]progress:  [ 476 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (343 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (194 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (* (- a c) (- a c))) (* (+ (* (- d b) d) (* b b)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))) (* (* (+ (* (- d b) d) (* b b)) (* (- a c) (- a c))) (* (+ (* (- d b) d) (* b b)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 477 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (382 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (214 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (- (- c b) (- d a))) (* (- a c) (* (- b d) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (* (- a c) (+ a c))))) (* (* (+ (* (- d b) d) (* b b)) (- (- c b) (- d a))) (* (- a c) (* (- b d) (- a c))))))))
* * * * [misc]progress:  [ 478 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- (- c b) (- d a))) (+ (* (- d b) d) (* b b))) (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c))))) (* (* (* (- a c) (- (- c b) (- d a))) (+ (* (- d b) d) (* b b))) (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))))))))
* * * * [misc]progress:  [ 479 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (189 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (- (- c d) (- b a))) (* (- a c) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (+ a c) (+ b d)) (- (+ a c) (+ b d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (- (* d d) (* b (- d b))) (* (- a c) (+ a c))))) (* (* (+ (* (- d b) d) (* b b)) (- (- c d) (- b a))) (* (- a c) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 480 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (444 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (268 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* a a) (* (- c a) c)) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (* (- d b) d) (* b b)))) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (* (+ (* a a) (* (- c a) c)) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* (- c a) c)) (+ (* (- d b) d) (* b b)))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 481 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (261 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a a) (* c (- c a))) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* c (- c a))) (* (- b d) (* (- a c) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* a a) (* c (- c a))) (+ (* (- d b) d) (* b b))) (* (+ (* a a) (* c (- c a))) (* (- b d) (* (- a c) (- b d)))))))))
* * * * [misc]progress:  [ 482 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (* (- b d) (* (- a c) (- a c)))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (+ a c) (- a c))))) (* (* (+ (* (- d b) d) (* b b)) (* (- b d) (* (- a c) (- a c)))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 483 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* c c) (* a (- a c))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* c c) (* a (- a c))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* c c) (* a (- a c)))) (+ (* (- d b) d) (* b b)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (+ (* c c) (* a (- a c))))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* c c) (* a (- a c)))) (+ (* (- d b) d) (* b b)))))))
* * * * [misc]progress:  [ 484 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (422 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (- b d)) (* (- (* c c) (* a (- c a))) (+ (* d (- d b)) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (+ a c) (- a c)))) (+ (pow (+ b d) 3) (pow (+ a c) 3))) (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (* (- a c) (- b d)) (* (- (* c c) (* a (- c a))) (+ (* d (- d b)) (* b b)))))))))
* * * * [misc]progress:  [ 485 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (+ (* d (- d b)) (* b b))) (* (* (- a c) (- b d)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* a a) (* (- c a) c)))) (* (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (+ (* a (- a c)) (* c c)) (+ (* d (- d b)) (* b b))) (* (* (- a c) (- b d)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 486 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (467 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c c) (* a (- a c))) (* (- b d) (* (- a c) (- b d)))) (* (+ (* c c) (* a (- a c))) (+ (* d d) (* b (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))) (* (* (+ (* c c) (* a (- a c))) (* (- b d) (* (- a c) (- b d)))) (* (+ (* c c) (* a (- a c))) (+ (* d d) (* b (- b d)))))))))
* * * * [misc]progress:  [ 487 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (285 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c c) (* a (- a c))) (* (- b d) (- b d))) (* (+ (* c c) (* a (- a c))) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (- b d) (+ (pow c 3) (pow a 3)))))) (* (* (+ (* c c) (* a (- a c))) (* (- b d) (- b d))) (* (+ (* c c) (* a (- a c))) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 488 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (466 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (+ (* b (- b d)) (* d d))) (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (- (* b b) (* d d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (+ (* b (- b d)) (* d d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (- b d)) (+ (* b (- b d)) (* d d))) (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 489 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (286 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* a (- a c)) (* c c))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))))) (* (* (- b d) (+ (* a (- a c)) (* c c))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 490 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (+ b d) (- b d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (+ b d) (- b d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (* (* (- b d) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (+ b d) (- b d)) (+ (* (- c a) c) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))) (* (* (+ (* a (- a c)) (* c c)) (* (* (- b d) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 491 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (* (+ b d) (- b d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (* (+ b d) (- b d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (186 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- (+ c a) (+ b d))) (* (- b d) (- b d))) (+ (* a (- a c)) (* c c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (* (+ b d) (- b d)) (+ (* c (- c a)) (* a a))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (* (- a c) (- (+ c a) (+ b d))) (* (- b d) (- b d))) (+ (* a (- a c)) (* c c)))))))
* * * * [misc]progress:  [ 492 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (123 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* d (- d b))))) (* (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* d (- d b))))) (* (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3)))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (311 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- b d)) (- a c))) (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* d (- d b))))) (* (+ (* (* (- a c) (+ b d)) (- b d)) (* (- b d) (* (+ a c) (- a c)))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* d (- d b))) (+ (pow c 3) (pow a 3)))))) (* (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- b d)) (- a c))) (* (+ (* b (- b d)) (* d d)) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 493 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (111 enodes)
* * [misc]simplify:  iters left: 4 (466 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* (- d b) d)))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow c 3) (pow a 3)) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* (- d b) d)))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow c 3) (pow a 3)) (- b d))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (253 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))) (* (+ (* b (- b d)) (* d d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b b) (* (- d b) d)))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (+ (pow c 3) (pow a 3)) (- b d))))) (* (* (+ (* a (- a c)) (* c c)) (* (- a c) (- b d))) (* (+ (* b (- b d)) (* d d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 494 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d))))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d))))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (222 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (* (- a c) (- a c))) (+ (* d d) (* b (- b d)))) (* (+ (* d d) (* b (- b d))) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d)))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (+ (* b (- b d)) (* d d))))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (* (* (* (- b d) (* (- a c) (- a c))) (+ (* d d) (* b (- b d)))) (* (+ (* d d) (* b (- b d))) (- a c)))))))
* * * * [misc]progress:  [ 495 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (- (* d d) (* b (- d b))))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (- (* d d) (* b (- d b))))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (188 enodes)
* [exit]simplify:  Simplified to (* (- (* d d) (* b (- d b))) (* (- a c) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (+ a c) (- a c)) (- (* d d) (* b (- d b))))) (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))))) (* (- (* d d) (* b (- d b))) (* (- a c) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))))
* * * * [misc]progress:  [ 496 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d d) (* b (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d d) (* b (- b d)))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (390 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d))))) (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d d) (* b (- b d)))))) (* (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- b d)) (- a c))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 497 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (420 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d)))))) (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (233 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d d) (* b (- b d))) (- a c)) (* (* (- a c) (- b d)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow b 3) (pow d 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ a c) (- b d)))))) (* (* (+ (* d d) (* b (- b d))) (- a c)) (* (* (- a c) (- b d)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 498 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (104 enodes)
* * [misc]simplify:  iters left: 4 (408 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- (* c c) (* a (- c a)))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (230 enodes)
* [exit]simplify:  Simplified to (* (+ (* a a) (* c (- c a))) (* (+ (* d d) (* b (- b d))) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- (* c c) (* a (- c a)))))) (* (+ (* a a) (* c (- c a))) (* (+ (* d d) (* b (- b d))) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))))
* * * * [misc]progress:  [ 499 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (+ (pow a 3) (pow c 3)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (* (+ (* a (- a c)) (* c c)) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (- (* b b) (* d d)) (+ (* a (- a c)) (* c c))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (+ (* a (- a c)) (* c c)) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- b d)))))))
* * * * [misc]progress:  [ 500 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (370 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (* (+ a c) (- a c)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (* (+ a c) (- a c)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (189 enodes)
* [exit]simplify:  Simplified to (* (+ (* b b) (* (- d b) d)) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ a c) (- a c))))) (+ (* (* (+ a c) (- a c)) (+ (* d d) (* b (- b d)))) (* (+ (pow d 3) (pow b 3)) (- a c)))) (* (+ (* b b) (* (- d b) d)) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- a c)))))))
* * * * [misc]progress:  [ 501 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (pow (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) 3) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* [exit]simplify:  Simplified to (pow (* (- a c) (- b d)) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (* (- b d) (+ (* (+ a c) (- a c)) (* (+ b d) (- a c)))) 3) (pow (* (- a c) (- b d)) 3)))))
* * * * [misc]progress:  [ 502 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (283 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 503 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c)))) (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c)))) (+ (* (* (- a c) (- b d)) (+ b d)) (* (* (- a c) (- b d)) (+ a c)))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (- c d) (- b a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (- (- c d) (- b a)))))))
* * * * [misc]progress:  [ 504 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (413 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (- a c) (- b d))) (* (+ (* b b) (* (- d b) d)) (+ (* (- c a) c) (* a a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3)))) (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))))) (* (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (- a c) (- b d))) (* (+ (* b b) (* (- d b) d)) (+ (* (- c a) c) (* a a))))))))
* * * * [misc]progress:  [ 505 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d)))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (* (- a c) (- b d)) (- b d)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (* (- (* b b) (* d d)) (+ (* c c) (* a (- a c)))) (* (+ (pow c 3) (pow a 3)) (- b d)))) (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (* (- a c) (- b d)) (- b d)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 506 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d (- d b)) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d (- d b)) (* b b))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (383 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (+ (* b (- b d)) (* d d)) (* (- b d) (* (- a c) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (* (- a c) (+ a c)) (+ (* d (- d b)) (* b b))))) (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (+ (* b (- b d)) (* d d)) (* (- b d) (* (- a c) (- a c)))))))))
* * * * [misc]progress:  [ 507 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (278 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ a c))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))) (* (* (- a c) (- b d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 508 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (* (+ c a) (+ c a))) (* (* (- a c) (+ b d)) (- (+ b d) (+ c a)))) (+ (* (+ c a) (* (+ c a) (- b d))) (* (- (+ b d) (+ c a)) (* (+ b d) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d))))) (* (+ (* (- a c) (* (+ c a) (+ c a))) (* (* (- a c) (+ b d)) (- (+ b d) (+ c a)))) (+ (* (+ c a) (* (+ c a) (- b d))) (* (- (+ b d) (+ c a)) (* (+ b d) (- b d)))))))))
* * * * [misc]progress:  [ 509 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (306 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (321 enodes)
* [exit]simplify:  Simplified to (+ (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (+ b d) (+ b d))) (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (+ c a) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ a c)) (* (- a c) (+ b d)))) (* (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))) (+ (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (+ b d) (+ b d))) (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (+ c a) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 510 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (121 enodes)
* * [misc]simplify:  iters left: 4 (438 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (- (* c c) (* a (- c a))) (+ (* b (- b d)) (* d d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (* (- (* c c) (* a (- c a))) (+ (* b (- b d)) (* d d))))))))
* * * * [misc]progress:  [ 511 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (309 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (+ (* a a) (* c (- c a)))) (- b d))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (+ (* a a) (* c (- c a)))) (- b d))))))
* * * * [misc]progress:  [ 512 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (* (+ (* d d) (* b (- b d))) (* (* (- (- c b) (- d a)) (- b d)) (* (- a c) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* (- d b) d) (* b b)) (* (- a c) (+ a c)))) (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (+ (* d d) (* b (- b d))) (* (* (- (- c b) (- d a)) (- b d)) (* (- a c) (- a c))))))))
* * * * [misc]progress:  [ 513 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (229 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (- (+ a c) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (- (+ a c) (+ b d)))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (* (- a c) (- b d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (+ (+ b d) (+ a c))) (* (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))) (- (+ a c) (+ b d)))) (* (- (- c b) (- d a)) (* (* (- a c) (- b d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 514 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c b) (- d a)) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (- (+ b d) (+ c a)) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- b d) (+ (* (- a c) (+ a c)) (* (+ b d) (- a c)))) (* (+ (pow (+ b d) 3) (pow (+ a c) 3)) (* (+ (+ b d) (+ a c)) (- (+ a c) (+ b d))))) (* (* (- (- c b) (- d a)) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (- (+ b d) (+ c a)) (+ b d))))))))
* * * * [misc]progress:  [ 515 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (212 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (* (- a c) (- b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c d) (- b a)) (- (- c d) (- b a))) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c))) (* (- (+ a c) (+ b d)) (+ (+ b d) (+ a c)))) (* (- b d) (+ (* (+ b d) (- a c)) (* (- a c) (+ a c))))) (* (* (- (- c d) (- b a)) (- (- c d) (- b a))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 516 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (414 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b))))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (* (* (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b))))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))))))
* * * * [misc]progress:  [ 517 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* (- c a) c) (* a a)) (- (* b b) (* d d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* (- c a) c) (* a a)) (- (* b b) (* d d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (* (* (- (* c c) (* a (- c a))) (* (- b d) (- (* c c) (* a (- c a))))) (* (+ (* b (- b d)) (* d d)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* (- c a) c) (* a a)) (- (* b b) (* d d))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (- (* c c) (* a (- c a))) (* (- b d) (- (* c c) (* a (- c a))))) (* (+ (* b (- b d)) (* d d)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))))))
* * * * [misc]progress:  [ 518 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b b) (* (- d b) d)) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* (- d b) d)) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* a a) (* c (- c a))) (+ (* b b) (* d (- d b)))) (* (- a c) (+ (* b b) (* d (- d b))))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* (- d b) d)) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (* (+ (* a a) (* c (- c a))) (+ (* b b) (* d (- d b)))) (* (- a c) (+ (* b b) (* d (- d b))))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 519 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (+ (* (- a c) (+ c a)) (* (+ b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ c a)) (* (+ b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (354 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* a (- a c)) (* c c)) (- (* d d) (* b (- d b))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- b d) (+ (* (- a c) (+ c a)) (* (+ b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* a (- a c)) (* c c)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))) (* (* (- b d) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* a (- a c)) (* c c)) (- (* d d) (* b (- d b))))))))))
* * * * [misc]progress:  [ 520 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (391 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b)))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b)))))) (* (* (+ (* a a) (* (- c a) c)) (- (* d d) (* b (- d b)))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))))))
* * * * [misc]progress:  [ 521 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (432 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (355 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (* c c) (* a (- c a))) (+ (* b b) (* d (- d b))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (- (- c b) (- d a)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (* c c) (* a (- c a))) (+ (* b b) (* d (- d b))))))))))
* * * * [misc]progress:  [ 522 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (110 enodes)
* * [misc]simplify:  iters left: 4 (452 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (363 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d d) (* b (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (* (- b d) (* (- (* c c) (* a (- c a))) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (+ (* d d) (* b (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (* (- b d) (* (- (* c c) (* a (- c a))) (- (* c c) (* a (- c a))))))))))
* * * * [misc]progress:  [ 523 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (270 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- (* c c) (* a (- c a))) (- b d)) (* (- (* c c) (* a (- c a))) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- (* c c) (* a (- c a))) (- b d)) (* (- (* c c) (* a (- c a))) (- b d))))))))
* * * * [misc]progress:  [ 524 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (470 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ (* d d) (* b (- b d))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ (* d d) (* b (- b d))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (362 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b b) (* (- d b) d)) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* c c) (* a (- a c))) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ (* d d) (* b (- b d))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* b b) (* (- d b) d)) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* c c) (* a (- a c))) (- b d))))))))
* * * * [misc]progress:  [ 525 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (* c c) (* a (- a c))) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (* c c) (* a (- a c))) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (288 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- b d) (* (- b d) (- a c))) (+ (* a (- a c)) (* c c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (* c c) (* a (- a c))) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- b d) (* (- b d) (- a c))) (+ (* a (- a c)) (* c c))))))))
* * * * [misc]progress:  [ 526 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (289 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (* c c) (* a (- c a))) (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* (- c a) c) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (* c c) (* a (- c a))) (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 527 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (318 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (294 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* c (- c a)) (* a a)) (* (+ b d) (- b d))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- (* c c) (* a (- c a))) (* (- b d) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 528 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (122 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (404 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (pow b 3) (pow d 3)) (+ (* c (- c a)) (* a a))) (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))) (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (+ (* (- d b) d) (* b b)) (+ (* a (- a c)) (* c c)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 529 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (470 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (+ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ b d)) (* (- (* c c) (* a (- c a))) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (pow c 3) (pow a 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (+ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ b d)) (* (- (* c c) (* a (- c a))) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- b d) (+ (pow c 3) (pow a 3)))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (350 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* c c) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* d (- d b)) (* b b)) (* (- a c) (- b d))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* c c) (* a (- a c)))))))))
* * * * [misc]progress:  [ 530 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (395 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (328 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))))) (* (* (* (- a c) (+ (* (- d b) d) (* b b))) (* (- a c) (+ (* (- d b) d) (* b b)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 531 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b (- b d)) (* d d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- a c) (+ (- (* b b) (* d d)) (* (- b d) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b (- b d)) (* d d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- a c) (+ (- (* b b) (* d d)) (* (- b d) (+ c a)))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (323 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (* (- a c) (* (- b d) (- a c))) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b (- b d)) (* d d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (- a c) (+ (- (* b b) (* d d)) (* (- b d) (+ c a)))))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (* (- a c) (* (- b d) (- a c))) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 532 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (372 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (327 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (- a c)) (* (+ (* d (- d b)) (* b b)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (- (* d d) (* b (- d b)))))) (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (- a c)) (* (+ (* d (- d b)) (* b b)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))))))
* * * * [misc]progress:  [ 533 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (419 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c b) (- d a)) (- a c)) (+ (* d (- d b)) (* b b))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow b 3) (pow d 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))) (* (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (* (- (- c b) (- d a)) (- a c)) (+ (* d (- d b)) (* b b))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 534 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (117 enodes)
* * [misc]simplify:  iters left: 4 (471 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (366 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b b) (* (- d b) d)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (+ (* (* (- a c) (- b d)) (* c c)) (* (* (- a c) (- b d)) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3)))) (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* b b) (* (- d b) d)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (+ (* (* (- a c) (- b d)) (* c c)) (* (* (- a c) (- b d)) (* a (- a c)))))))))
* * * * [misc]progress:  [ 535 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (* (- b d) (- a c)) (+ c a)) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (* (+ b d) (- b d)) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (* (- b d) (- a c)) (+ c a)) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (* (+ b d) (- b d)) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (288 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (* (- b d) (- b d))) (+ (* (- c a) c) (* a a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (* (- b d) (- a c)) (+ c a)) (* (+ b d) (* (- b d) (- a c)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (* (+ b d) (- b d)) (+ (* c c) (* a (- a c)))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (* (- b d) (- b d))) (+ (* (- c a) c) (* a a))))))))
* * * * [misc]progress:  [ 536 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (335 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (* (- a c) (- b d))) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- a c) (+ (* (+ c a) (- b d)) (* (+ b d) (- b d)))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* d (- d b))) (- (* a a) (* c c))))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (* (- a c) (- b d))) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 537 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c))))) (+ (pow (+ b d) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c)))) (+ (* (+ c a) (* (- b d) (- a c))) (* (+ b d) (* (- b d) (- a c))))) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (244 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (* (- a c) (- b d)) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 538 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- a c) (- b d))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))))))
* * * * [misc]progress:  [ 539 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (306 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (274 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (- (- c d) (- b a))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))) (* (- a c) (+ (* (+ b d) (- b d)) (* (+ c a) (- b d))))) (* (* (* (- a c) (- b d)) (- (- c d) (- b a))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))))))
* * * * [misc]progress:  [ 540 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* c (- c a))) (+ (pow b 3) (pow d 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* c (- c a))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (360 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (* (+ (* c (- c a)) (* a a)) (+ (* b b) (* d (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* c (- c a))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))) (* (+ (* c (- c a)) (* a a)) (+ (* b b) (* d (- d b)))))))))
* * * * [misc]progress:  [ 541 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (- b d) (+ b d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ b d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (286 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (- b d)) (* (+ (* c (- c a)) (* a a)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (- b d) (+ b d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (- b d)) (* (+ (* c (- c a)) (* a a)) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a))))))))))
* * * * [misc]progress:  [ 542 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (+ (* b b) (* d (- d b)))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (+ (pow d 3) (pow b 3)) (- a c))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- a c) (+ (* b b) (* d (- d b)))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))))))))
* * * * [misc]progress:  [ 543 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ c a) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ c a) (- a c))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (- b d) (+ (* (+ b d) (- a c)) (* (+ c a) (- a c))))) (* (* (- b d) (- a c)) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))))))))
* * * * [misc]progress:  [ 544 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* [exit]simplify:  Simplified to (pow (+ (pow (+ b d) 3) (pow (+ c a) 3)) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (pow (+ b d) 3) (pow (+ c a) 3)) 3) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (275 enodes)
* [exit]simplify:  Simplified to (pow (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (+ (pow (+ b d) 3) (pow (+ c a) 3)) 3) (pow (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) 3)))))
* * * * [misc]progress:  [ 545 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (217 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))) (- (- c b) (- d a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b)))) (- (- c b) (- d a)))))))
* * * * [misc]progress:  [ 546 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (109 enodes)
* * [misc]simplify:  iters left: 4 (418 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (355 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (- c b) (- d a)) (- (* c c) (* a (- c a))))) (+ (* d (- d b)) (* b b)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (+ (* (- c a) c) (* a a))))) (* (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (- (- c b) (- d a)) (- (* c c) (* a (- c a))))) (+ (* d (- d b)) (* b b)))))))
* * * * [misc]progress:  [ 547 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (304 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* c c) (* a (- c a))) (* (- b d) (+ b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (* (- b d) (+ b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (282 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- (- c d) (- b a)) (- b d)) (+ (* a a) (* (- c a) c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (* (- b d) (+ b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (+ b d) (+ c a)) (- (+ c a) (+ b d))))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (* (- (- c d) (- b a)) (- b d)) (+ (* a a) (* (- c a) c))))))))
* * * * [misc]progress:  [ 548 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (405 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c d) (- b a)) (- a c)) (+ (* b b) (* d (- d b)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))) (* (* (* (- (- c d) (- b a)) (- a c)) (+ (* b b) (* d (- d b)))) (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))))))))
* * * * [misc]progress:  [ 549 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (292 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ c a))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (262 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c b) (- d a)) (* (- b d) (- a c))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (- b d) (+ (* (- a c) (+ b d)) (* (- a c) (+ c a))))) (* (* (- (- c b) (- d a)) (* (- b d) (- a c))) (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))))))))
* * * * [misc]progress:  [ 550 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (208 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (254 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (- (* (+ d b) (+ d b)) (* (+ c a) (- (+ d b) (+ c a)))) (- (* (+ d b) (+ d b)) (* (+ c a) (- (+ d b) (+ c a))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (- (- c b) (- d a)) (* (- (* (+ d b) (+ d b)) (* (+ c a) (- (+ d b) (+ c a)))) (- (* (+ d b) (+ d b)) (* (+ c a) (- (+ d b) (+ c a))))))))))
* * * * [misc]progress:  [ 551 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (191 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ b d) 3) (pow (+ c a) 3)) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (- (* (+ c a) (+ c a)) (* (+ b d) (+ b d)))) (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ d b) (+ d b)) (* (- (- c d) (- b a)) (- (- c d) (- b a)))) (* (* (- (- c d) (- b a)) (+ c a)) (* (- (- c d) (- b a)) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ a c) 3) (pow (+ b d) 3)) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (* (+ d b) (+ d b)) (* (- (- c d) (- b a)) (- (- c d) (- b a)))) (* (* (- (- c d) (- b a)) (+ c a)) (* (- (- c d) (- b a)) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 552 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (107 enodes)
* * [misc]simplify:  iters left: 4 (453 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (255 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b)))) (- (- c d) (- b a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (* (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b)))) (- (- c d) (- b a)))))))
* * * * [misc]progress:  [ 553 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* c (- c a)) (* a a)) (- (* b b) (* d d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* c (- c a)) (* a a)) (- (* b b) (* d d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (252 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* c (- c a)) (* a a)) (- (* b b) (* d d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (+ (* (- d b) d) (* b b))))))))
* * * * [misc]progress:  [ 554 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* [exit]simplify:  Simplified to (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (305 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a (- a c)) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (* d (- d b)) (* b b)) (* (- (- c d) (- b a)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))) (+ (* (+ (* b b) (* d (- d b))) (* (- a c) (+ c a))) (* (+ (pow d 3) (pow b 3)) (- a c))))) (* (* (+ (* a (- a c)) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (* d (- d b)) (* b b)) (* (- (- c d) (- b a)) (- a c))))))))
* * * * [misc]progress:  [ 555 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (* b b) (* d d)) (- a c)) (* (* (- b d) (+ c a)) (- a c))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* b b) (* d d)) (- a c)) (* (* (- b d) (+ c a)) (- a c))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (255 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))) (- (* c c) (* a (- c a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* b b) (* d d)) (- a c)) (* (* (- b d) (+ c a)) (- a c))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (* (* (- (- c d) (- b a)) (* (- a c) (- b d))) (+ (* d (- d b)) (* b b))) (- (* c c) (* a (- c a))))))))
* * * * [misc]progress:  [ 556 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (490 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (397 enodes)
* [exit]simplify:  Simplified to (* (+ (* d (- d b)) (* b b)) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (- (* c c) (* a (- c a))) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ d b) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))))) (* (+ (* d (- d b)) (* b b)) (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (* (- (* c c) (* a (- c a))) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 557 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (378 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (210 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c b) (- d a)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (- (- c b) (- d a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (- (* d d) (* b (- d b))))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (- c b) (- d a)) (+ (* (- d b) d) (* b b))) (* (- (* c c) (* a (- c a))) (- (- c b) (- d a))))))))
* * * * [misc]progress:  [ 558 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (120 enodes)
* * [misc]simplify:  iters left: 4 (491 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (* (- b d) (- (- c d) (- b a))) (+ (* a a) (* c (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow b 3) (pow d 3))) (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* (- d b) d))))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (* (* (- b d) (- (- c d) (- b a))) (+ (* a a) (* c (- c a)))))))))
* * * * [misc]progress:  [ 559 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (315 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- (- c b) (- d a))) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (* (- b d) (- (- c b) (- d a))) (- (* c c) (* a (- c a)))) (* (- (* c c) (* a (- c a))) (- b d)))))))
* * * * [misc]progress:  [ 560 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (263 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* c c) (* a (- a c))) (- b d)) (* (* (- a c) (- (- c b) (- d a))) (+ (* b (- b d)) (* d d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ (* b b) (* d (- d b))) (* (+ c a) (- a c))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3))))) (* (* (+ (* c c) (* a (- a c))) (- b d)) (* (* (- a c) (- (- c b) (- d a))) (+ (* b (- b d)) (* d d))))))))
* * * * [misc]progress:  [ 561 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ c a) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ c a) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (182 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c b) (- d a)) (* (- a c) (- b d))) (* (+ (* c c) (* a (- a c))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* c (- c a)) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (* (+ c a) (* (- a c) (- b d))) (* (* (- a c) (- b d)) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (- (- c b) (- d a)) (* (- a c) (- b d))) (* (+ (* c c) (* a (- a c))) (- b d)))))))
* * * * [misc]progress:  [ 562 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (336 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- (- c d) (- b a))) (- (* c c) (* a (- c a)))) (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (* (- b d) (- (- c d) (- b a))) (- (* c c) (* a (- c a)))) (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))))))))
* * * * [misc]progress:  [ 563 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (264 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* [exit]simplify:  Simplified to (* (+ (* a a) (* (- c a) c)) (* (* (- b d) (- (- c b) (- d a))) (- (- c b) (- d a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* (- c a) c) (* a a)) (* (- b d) (+ d b))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (+ (* a a) (* (- c a) c)) (* (* (- b d) (- (- c b) (- d a))) (- (- c b) (- d a))))))))
* * * * [misc]progress:  [ 564 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (132 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (305 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (+ (* a (- a c)) (* c c))) (* (* (- a c) (- (- c d) (- b a))) (- (* d d) (* b (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ (pow b 3) (pow d 3)) (+ (* a a) (* c (- c a)))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))) (* (* (- (* d d) (* b (- d b))) (+ (* a (- a c)) (* c c))) (* (* (- a c) (- (- c d) (- b a))) (- (* d d) (* b (- d b)))))))))
* * * * [misc]progress:  [ 565 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ d b) (- b d)) (+ (* c (- c a)) (* a a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ d b) (- b d)) (+ (* c (- c a)) (* a a)))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b b) (* d (- d b))) (* (- a c) (- b d))) (* (- (- c d) (- b a)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* d (- d b)) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (* (+ d b) (- b d)) (+ (* c (- c a)) (* a a)))))) (* (* (+ (* b b) (* d (- d b))) (* (- a c) (- b d))) (* (- (- c d) (- b a)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 566 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (440 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (221 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- (- c d) (- b a))) (+ (* b b) (* d (- d b)))) (* (+ (* b b) (* d (- d b))) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (* (- a c) (- (- c d) (- b a))) (+ (* b b) (* d (- d b)))) (* (+ (* b b) (* d (- d b))) (- a c)))))))
* * * * [misc]progress:  [ 567 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (216 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b (- b d)) (* d d)) (* (- a c) (* (- b d) (- a c)))) (- (- c b) (- d a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))) (* (* (- a c) (+ (* (- b d) (+ c a)) (* (+ d b) (- b d)))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (+ (* b (- b d)) (* d d)) (* (- a c) (* (- b d) (- a c)))) (- (- c b) (- d a)))))))
* * * * [misc]progress:  [ 568 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- (- c b) (- d a))) (+ (* b b) (* d (- d b)))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (* (* (- a c) (- (- c b) (- d a))) (+ (* b b) (* d (- d b)))) (+ (* (- (+ b d) (+ c a)) (+ b d)) (* (+ c a) (+ c a))))))))
* * * * [misc]progress:  [ 569 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (365 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (175 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- (- c b) (- d a))) (* (- (* d d) (* b (- d b))) (- (- c b) (- d a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (- (* a a) (* c c)) (+ (* (- d b) d) (* b b))) (* (+ (pow b 3) (pow d 3)) (- a c)))) (* (* (- a c) (- (- c b) (- d a))) (* (- (* d d) (* b (- d b))) (- (- c b) (- d a))))))))
* * * * [misc]progress:  [ 570 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (38 enodes)
* * [misc]simplify:  iters left: 5 (127 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))) (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ d b) (* (- b d) (- a c))) (* (+ c a) (* (- a c) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))) (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ d b) (* (- b d) (- a c))) (* (+ c a) (* (- a c) (- b d)))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* b b) (* (- d b) d)) (* (- a c) (- (- c b) (- d a)))) (* (+ (* a (- a c)) (* c c)) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow c 3) (pow a 3)) (+ (* b b) (* d (- d b)))) (* (+ (* c (- c a)) (* a a)) (+ (pow d 3) (pow b 3)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (+ d b) (* (- b d) (- a c))) (* (+ c a) (* (- a c) (- b d)))))) (* (* (+ (* b b) (* (- d b) d)) (* (- a c) (- (- c b) (- d a)))) (* (+ (* a (- a c)) (* c c)) (- b d)))))))
* * * * [misc]progress:  [ 571 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (381 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (+ c a) (* (- b d) (- a c))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (+ c a) (* (- b d) (- a c)))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (182 enodes)
* [exit]simplify:  Simplified to (* (- b d) (* (* (* (- a c) (- b d)) (- (- c b) (- d a))) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow c 3) (pow a 3)) (- b d))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- b d) (- a c)) (+ d b)) (* (+ c a) (* (- b d) (- a c)))))) (* (- b d) (* (* (* (- a c) (- b d)) (- (- c b) (- d a))) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 572 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (108 enodes)
* * [misc]simplify:  iters left: 4 (478 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (- a c) (* (+ c a) (- b d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (- a c) (* (+ c a) (- b d)))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (* (+ (* d d) (* b (- b d))) (* (* (* (- a c) (- b d)) (- a c)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* b b) (* (- d b) d)) (- (* a a) (* c c)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (+ (* (* (- a c) (+ d b)) (- b d)) (* (- a c) (* (+ c a) (- b d)))))) (* (+ (* d d) (* b (- b d))) (* (* (* (- a c) (- b d)) (- a c)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 573 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (302 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (+ d b) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ c a))) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (* (+ d b) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ c a))) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (* (+ d b) (* (- b d) (- a c))) (* (* (- b d) (- a c)) (+ c a))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (- (- c d) (- b a)) (* (* (- a c) (- b d)) (* (- a c) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (- (- c d) (- b a)) (* (* (- a c) (- b d)) (* (- a c) (- b d))))))))
* * * * [misc]progress:  [ 574 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (+ (* (+ d b) (* (- b d) (- a c))) (* (+ c a) (* (- b d) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (+ (* (+ d b) (* (- b d) (- a c))) (* (+ c a) (* (- b d) (- a c))))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- b d)) (- (- c b) (- d a))) (+ (* (+ c a) (+ c a)) (* (- (+ b d) (+ c a)) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (* (- a c) (- b d)) (- (- c b) (- d a))) (+ (* (+ c a) (+ c a)) (* (- (+ b d) (+ c a)) (+ b d))))))))
* * * * [misc]progress:  [ 575 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (251 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- b d) (* (- a c) (+ d b))) (* (* (+ c a) (- b d)) (- a c))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))) (+ (* (- b d) (* (- a c) (+ d b))) (* (* (+ c a) (- b d)) (- a c)))) (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (* (- a c) (- b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- b d)) (* (- (- c d) (- b a)) (- (- c d) (- b a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- a c) (- b d)) (* (- (- c d) (- b a)) (- (- c d) (- b a))))))))
* * * * [misc]progress:  [ 576 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (115 enodes)
* * [misc]simplify:  iters left: 4 (490 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (417 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (+ (* (- d b) d) (* b b))) (* (- (- c d) (- b a)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* d (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (+ (* (- d b) d) (* b b))) (* (- (- c d) (- b a)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 577 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (376 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (* (+ d b) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (* (- (- c b) (- d a)) (- b d)) (- (* c c) (* a (- c a)))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 578 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (477 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (393 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (+ b d) (- (+ b d) (+ c a)))) (* (+ (* b b) (* (- d b) d)) (* (- a c) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (* (- a c) (+ c a)) (+ (* b b) (* (- d b) d)))) (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (+ (* (+ c a) (+ c a)) (* (+ b d) (- (+ b d) (+ c a)))) (* (+ (* b b) (* (- d b) d)) (* (- a c) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 579 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (364 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ b d) (+ b d)) (* (* (- b d) (- a c)) (- (- c b) (- d a)))) (* (* (- (- c b) (- d a)) (+ c a)) (* (* (- b d) (- a c)) (- (- c b) (- d a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (- b d) (+ (* (- a c) (+ c a)) (* (+ d b) (- a c))))) (+ (* (* (+ b d) (+ b d)) (* (* (- b d) (- a c)) (- (- c b) (- d a)))) (* (* (- (- c b) (- d a)) (+ c a)) (* (* (- b d) (- a c)) (- (- c b) (- d a)))))))))
* * * * [misc]progress:  [ 580 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (281 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (341 enodes)
* [exit]simplify:  Simplified to (* (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (- (- c d) (- b a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a))))) (- (- c d) (- b a)))))))
* * * * [misc]progress:  [ 581 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (230 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (pow (+ d b) 3) (pow (+ c a) 3)) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d))))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (282 enodes)
* [exit]simplify:  Simplified to (* (* (- (- c b) (- d a)) (- (- c b) (- d a))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (- c b) (- d a)) (- (- c b) (- d a))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 582 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (100 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (211 enodes)
* [exit]simplify:  Simplified to (* (+ (* a a) (* c (- c a))) (* (+ (* b b) (* d (- d b))) (* (- (- c d) (- b a)) (- (- c d) (- b a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* (- d b) d)) (+ (pow c 3) (pow a 3))) (* (+ (* a a) (* (- c a) c)) (+ (pow b 3) (pow d 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (+ (* a a) (* c (- c a))) (* (+ (* b b) (* d (- d b))) (* (- (- c d) (- b a)) (- (- c d) (- b a)))))))))
* * * * [misc]progress:  [ 583 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (237 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (+ (* a a) (* (- c a) c)) (* (- b d) (- (- c b) (- d a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (- b d) (+ (pow c 3) (pow a 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (- (- c b) (- d a)) (* (+ (* a a) (* (- c a) c)) (* (- b d) (- (- c b) (- d a)))))))))
* * * * [misc]progress:  [ 584 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (- (- c b) (- d a))) (* (- (- c b) (- d a)) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))) (* (- a c) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))))) (* (* (- (* d d) (* b (- d b))) (- (- c b) (- d a))) (* (- (- c b) (- d a)) (- a c)))))))
* * * * [misc]progress:  [ 585 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* [exit]simplify:  Simplified to (* (* (* (- b d) (- a c)) (- (- c d) (- b a))) (- (- c d) (- b a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (+ (* (- b d) (+ d b)) (* (+ c a) (- b d)))) (* (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))) (* (- (+ c a) (+ d b)) (+ (+ c a) (+ d b))))) (* (* (* (- b d) (- a c)) (- (- c d) (- b a))) (- (- c d) (- b a)))))))
* * * * [misc]progress:  [ 586 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (203 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (pow (+ d b) 3) (pow (+ c a) 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b)))) (+ (pow (+ d b) 3) (pow (+ c a) 3))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ b d) (+ b d)) (* (- (- c b) (- d a)) (- (- c b) (- d a)))) (* (* (- (- c b) (- d a)) (+ c a)) (* (- (- c b) (- d a)) (- (- c b) (- d a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (* (+ b d) (+ b d)) (* (- (- c b) (- d a)) (- (- c b) (- d a)))) (* (* (- (- c b) (- d a)) (+ c a)) (* (- (- c b) (- d a)) (- (- c b) (- d a)))))))))
* * * * [misc]progress:  [ 587 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (pow (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) 3)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (pow (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) 3) (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- (+ a c) (+ b d)) (- (+ a c) (+ b d))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (pow (- (- a b) (- d c)) 3)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (pow (* (+ (+ c a) (+ d b)) (- (+ c a) (+ d b))) 3) (pow (- (- a b) (- d c)) 3)))))
* * * * [misc]progress:  [ 588 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (433 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (+ (* (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3)))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* (- d b) d) (* b b)) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 589 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (473 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* a a) (* c (- c a))) (* (+ b d) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (+ (* (+ (* b b) (* (- d b) d)) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a)))) (* (+ (* a a) (* c (- c a))) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* a a) (* c (- c a))) (* (+ b d) (- b d))) (* (+ (pow a 3) (pow c 3)) (- b d))) (+ (* (+ (* b b) (* (- d b) d)) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a)))) (* (+ (* a a) (* c (- c a))) (* (+ (+ b d) (+ c a)) (+ (pow d 3) (pow b 3)))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (173 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (- b d)) (* (+ (* a a) (* (- c a) c)) (+ (* a a) (* (- c a) c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- (* d d) (* b (- d b))) (- b d)) (* (+ (* a a) (* (- c a) c)) (+ (* a a) (* (- c a) c))))))))
* * * * [misc]progress:  [ 590 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (pow d 3) (pow b 3)) (+ (+ b d) (+ c a))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (+ (+ b d) (+ c a)) (+ (pow a 3) (pow c 3))) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (* (+ (pow d 3) (pow b 3)) (+ (+ b d) (+ c a))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* a a) (* c c)) (+ (* b b) (* (- d b) d))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (225 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* d (- d b)) (* b b)) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* d (- d b)) (* b b)) (- (* c c) (* a (- c a)))) (* (+ (* d (- d b)) (* b b)) (- a c)))))))
* * * * [misc]progress:  [ 591 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (494 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ d a) (+ c b)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ d a) (+ c b)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (177 enodes)
* [exit]simplify:  Simplified to (* (* (- (* d d) (* b (- d b))) (- b d)) (* (- a c) (+ (* c c) (* a (- a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ d a) (+ c b)) (* (- b d) (+ (* (- a c) (+ b d)) (* (+ c a) (- a c))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3))))) (* (* (- (* d d) (* b (- d b))) (- b d)) (* (- a c) (+ (* c c) (* a (- a c)))))))))
* * * * [misc]progress:  [ 592 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (464 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (342 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (* (- d b) d))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (+ (+ d a) (+ c b)) (+ (pow (+ b d) 3) (pow (+ c a) 3)))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (- (* (+ d b) (+ d b)) (* (+ a c) (- (+ d b) (+ a c)))))))))
* * * * [misc]progress:  [ 593 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (434 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (185 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (- (- c b) (- d a)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (* a a) (* (- c a) c)) (+ (pow d 3) (pow b 3)))) (* (* (+ (+ b d) (+ c a)) (+ (+ b d) (+ c a))) (- (+ c a) (+ b d)))) (* (* (+ (* (- d b) d) (* b b)) (+ (* a a) (* c (- c a)))) (- (- c b) (- d a)))))))
* * * * [misc]progress:  [ 594 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (106 enodes)
* * [misc]simplify:  iters left: 4 (473 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow a 3) (pow c 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a)))) (* (- (* c c) (* a (- c a))) (* (+ (+ b d) (+ c a)) (- (* b b) (* d d))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* c c) (* a (- c a))) (+ (pow d 3) (pow b 3))) (* (+ (pow a 3) (pow c 3)) (+ (* d d) (* b (- b d))))) (+ (* (- b d) (* (+ (pow a 3) (pow c 3)) (+ (+ b d) (+ c a)))) (* (- (* c c) (* a (- c a))) (* (+ (+ b d) (+ c a)) (- (* b b) (* d d)))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b 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 (* (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- (* d d) (* b (- d b))) (- (* c c) (* a (- c a)))) (* (- b d) (- (* c c) (* a (- c a)))))))))
* * * * [misc]progress:  [ 595 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (291 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (+ (+ b d) (+ c a)) (- (* b b) (* d d))) (- (* c c) (* a (- c a)))) (* (* (- b d) (+ (+ b d) (+ c a))) (+ (pow a 3) (pow c 3)))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (+ (+ b d) (+ c a)) (- (* b b) (* d d))) (- (* c c) (* a (- c a)))) (* (* (- b d) (+ (+ b d) (+ c a))) (+ (pow a 3) (pow c 3)))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (467 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (* c c) (* (- c a) a))) (* (- b d) (- (* c c) (* (- c a) a))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- b d) (- (* c c) (* (- c a) a))) (* (- b d) (- (* c c) (* (- c a) a))))))))
* * * * [misc]progress:  [ 596 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (493 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (* b b) (* (- d b) d)) (* (- (* a a) (* c c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow b 3) (pow d 3)))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (* b b) (* (- d b) d)) (* (- (* a a) (* c c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow b 3) (pow d 3)))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* (- c a) c))) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (+ (* d (- d b)) (* b b)) (+ (* a a) (* (- c a) c))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 597 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (- (* b b) (* d d))) (- (* c c) (* a (- c a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (- (* b b) (* d d))) (- (* c c) (* a (- c a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* c c) (* a (- a c))) (* (- a c) (* (- b d) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (+ (pow a 3) (pow c 3)) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (- (* b b) (* d d))) (- (* c c) (* a (- c a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (+ (* c c) (* a (- a c))) (* (- a c) (* (- b d) (- b d))))))))
* * * * [misc]progress:  [ 598 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (+ (* a a) (* c (- c a)))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- (* b b) (* d d)) (- (* c c) (* a (- c a)))) (* (+ (pow a 3) (pow c 3)) (- b d)))) (* (* (- b d) (+ (* a a) (* c (- c a)))) (+ (* (+ b d) (- (+ b d) (+ a c))) (* (+ a c) (+ a c))))))))
* * * * [misc]progress:  [ 599 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- (+ c a) (+ b d)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- (+ c a) (+ b d)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))))) (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (+ (* a a) (- (* c c) (* a c))) (- b d)) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* [exit]simplify:  Simplified to (* (* (- b d) (- (- c d) (- b a))) (+ (* a a) (* (- c a) c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* b b) (* d d)) (+ (* a a) (* (- c a) c))) (* (+ (pow a 3) (pow c 3)) (- b d))) (* (- (+ c a) (+ b d)) (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))))) (* (* (- b d) (- (- c d) (- b a))) (+ (* a a) (* (- c a) c)))))))
* * * * [misc]progress:  [ 600 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (118 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (+ (+ b d) (+ c a)) (* (+ c a) (- a c))) (+ (* d (- d b)) (* b b))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (* (+ (+ b d) (+ c a)) (* (+ c a) (- a c))) (+ (* d (- d b)) (* b b))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (+ (* (- c a) c) (* a a)) (+ (pow d 3) (pow b 3))) (* (+ (pow c 3) (pow a 3)) (+ (* d (- d b)) (* b b))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (227 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* d (- d b)) (* b b)) (+ (* d (- d b)) (* b b))) (* (+ (* a (- a c)) (* c c)) (- a c)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (+ (* d (- d b)) (* b b)) (+ (* d (- d b)) (* b b))) (* (+ (* a (- a c)) (* c c)) (- a c)))))))
* * * * [misc]progress:  [ 601 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (493 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d)))) (+ (* (+ (* b (- b d)) (* d d)) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow d 3) (pow b 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow c 3) (pow a 3))) (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d)))) (+ (* (+ (* b (- b d)) (* d d)) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (* (+ (+ b d) (+ c a)) (- a c)) (+ (pow d 3) (pow b 3))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (175 enodes)
* [exit]simplify:  Simplified to (* (+ (* a a) (* c (- c a))) (* (* (- b d) (- a c)) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (+ (* a a) (* c (- c a))) (* (* (- b d) (- a c)) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 602 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* d d) (* b (- d b))) (* (* (+ c a) (- a c)) (+ (+ b d) (+ c a)))) (* (+ (+ b d) (+ c a)) (* (- a c) (+ (pow d 3) (pow b 3))))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (* d (- d b)) (* b b))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (* (- a c) (+ (* d (- d b)) (* b b))))))))
* * * * [misc]progress:  [ 603 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (456 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (* (- b d) (* (+ (+ b d) (+ c a)) (- a c))) (+ (+ b d) (+ c a))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (* (- b d) (* (+ (+ b d) (+ c a)) (- a c))) (+ (+ b d) (+ c a)))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (* (* (* (- a c) (- a c)) (- b d)) (+ (* d (- d b)) (* b b)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (* (- b d) (* (+ (+ b d) (+ c a)) (- a c))) (+ (+ b d) (+ c a)))) (* (* (* (- a c) (- a c)) (- b d)) (+ (* d (- d b)) (* b b)))))))
* * * * [misc]progress:  [ 604 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ c d) (+ b a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ c d) (+ b a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (320 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (+ (* d (- d b)) (* b b))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ c d) (+ b a)) (+ (pow (+ b d) 3) (pow (+ c a) 3))) (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c))))) (* (* (- a c) (+ (* d (- d b)) (* b b))) (- (* (+ b d) (+ b d)) (* (+ c a) (- (+ b d) (+ c a)))))))))
* * * * [misc]progress:  [ 605 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (421 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (+ (+ b d) (+ c a)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (+ (+ b d) (+ c a)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))))) (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (+ (* b b) (- (* d d) (* b d)))) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* [exit]simplify:  Simplified to (* (+ (* d (- d b)) (* b b)) (* (- a c) (- (+ c a) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- a c) (+ (pow d 3) (pow b 3))) (* (- (* d d) (* b (- d b))) (* (+ c a) (- a c)))) (* (+ (+ b d) (+ c a)) (* (- (+ c a) (+ b d)) (+ (+ b d) (+ c a))))) (* (+ (* d (- d b)) (* b b)) (* (- a c) (- (+ c a) (+ b d))))))))
* * * * [misc]progress:  [ 606 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (113 enodes)
* * [misc]simplify:  iters left: 4 (494 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3)))) (* (+ (+ d a) (+ c b)) (* (- b d) (* (- a c) (+ (+ d a) (+ c b))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3)))) (* (+ (+ d a) (+ c b)) (* (- b d) (* (- a c) (+ (+ d a) (+ c b)))))) (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (193 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- b d)) (* (+ (* a a) (* c (- c a))) (+ (* d d) (* b (- b d)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- (* d d) (* b (- d b))) (+ (pow a 3) (pow c 3))) (* (- (* c c) (* a (- c a))) (+ (pow b 3) (pow d 3)))) (* (+ (+ d a) (+ c b)) (* (- b d) (* (- a c) (+ (+ d a) (+ c b)))))) (* (* (- a c) (- b d)) (* (+ (* a a) (* c (- c a))) (+ (* d d) (* b (- b d)))))))))
* * * * [misc]progress:  [ 607 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (359 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* [exit]simplify:  Simplified to (* (+ (* a a) (* c (- c a))) (* (- a c) (* (- b d) (- b d))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (* c c) (* a (- a c))) (- (* b b) (* d d))) (* (- b d) (+ (pow a 3) (pow c 3))))) (* (+ (* a a) (* c (- c a))) (* (- a c) (* (- b d) (- b d))))))))
* * * * [misc]progress:  [ 608 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (456 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* [exit]simplify:  Simplified to (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- a c)) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (+ (* (+ (pow d 3) (pow b 3)) (- a c)) (* (+ (* d d) (* b (- b d))) (- (* a a) (* c c))))) (* (+ (* b (- b d)) (* d d)) (* (* (- a c) (- a c)) (- b d)))))))
* * * * [misc]progress:  [ 609 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (274 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ c d) (+ b a)) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ c d) (+ b a)) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (* (- a c) (- b d)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (- b d)) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ c d) (+ b a)) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (- a c) (* (- b d) (+ (+ c d) (+ b a))))) (* (* (- a c) (- b d)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 610 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (+ (pow (+ a c) 3) (pow (+ b d) 3)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (326 enodes)
* [exit]simplify:  Simplified to (* (* (+ (+ b d) (+ c a)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (* (- a c) (* (- b d) (+ (+ b d) (+ c a)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (240 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ b d) (+ c a)) (+ (pow (+ c a) 3) (pow (+ b d) 3))) (* (- a c) (* (- b d) (+ (+ b d) (+ c a))))) (* (+ (* (+ b d) (- (+ b d) (+ c a))) (* (+ c a) (+ c a))) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 611 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d)))) (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (* (- (* a a) (* c c)) (- b d)) (* (- a c) (- (* b b) (* d d))))) (- (* (+ a c) (+ a c)) (* (+ b d) (+ b d))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (307 enodes)
* [exit]simplify:  Simplified to (* (* (- a c) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (- (+ c a) (+ b d))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (- (+ c a) (+ b d)))) (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))))))
* [enter]simplify:  Simplifying (* (* (- a c) (- b d)) (- (+ a c) (+ b d)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (461 enodes)
* [exit]simplify:  Simplified to (* (- (- c b) (- d a)) (* (- a c) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (- a c) (* (- b d) (+ (+ c d) (+ b a)))) (* (* (+ (+ c d) (+ b a)) (+ (+ c d) (+ b a))) (- (+ c a) (+ b d)))) (* (- (- c b) (- d a)) (* (- a c) (- b d)))))))
* * * * [misc]progress:  [ 612 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3))))) (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (+ (* b b) (- (* d d) (* b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (103 enodes)
* * [misc]simplify:  iters left: 4 (464 enodes)
* [exit]simplify:  Simplified to (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))))))
* [enter]simplify:  Simplifying (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (+ (* b b) (- (* d d) (* b d)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (77 enodes)
* * [misc]simplify:  iters left: 4 (288 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* a a) (* c (- c a))) (+ (* b b) (* d (- d b)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ b d) (+ c a))) (+ (* (+ (pow a 3) (pow c 3)) (- (* d d) (* b (- d b)))) (* (+ (pow d 3) (pow b 3)) (- (* c c) (* a (- c a)))))) (* (+ (* (+ c a) (+ c a)) (* (+ d b) (- (+ d b) (+ c a)))) (* (+ (* a a) (* c (- c a))) (+ (* b b) (* d (- d b)))))))))
* * * * [misc]progress:  [ 613 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d))))) (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (+ (pow a 3) (pow c 3)) (- b d)) (* (+ (* a a) (- (* c c) (* a c))) (- (* b b) (* d d)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (344 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ d a) (+ c b))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ d a) (+ c b)))) (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))))))
* [enter]simplify:  Simplifying (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (+ (* a a) (- (* c c) (* a c))) (- b d)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- (* c c) (* a (- c a))) (- b d)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a b c d) (* 2 (cbrt (/ (* (+ (* (- b d) (+ (pow a 3) (pow c 3))) (* (+ (* a a) (* (- c a) c)) (* (- b d) (+ b d)))) (* (+ (pow (+ c a) 3) (pow (+ b d) 3)) (+ (+ d a) (+ c b)))) (* (+ (* (+ c a) (+ c a)) (* (- (+ d b) (+ c a)) (+ d b))) (* (- (* c c) (* a (- c a))) (- b d)))))))
* * * * [misc]progress:  [ 614 / 824 ] simplifiying candidate #<alt (λ (a b c d) (* 2 (cbrt (/ (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3))))) (* (+ (* (+ a c) (+ a c)) (- (* (+ b d) (+ b d)) (* (+ a c) (+ b d)))) (* (- a c) (+ (* b b) (- (* d d) (* b d)))))))))>
* [enter]simplify:  Simplifying (* (* (+ (+ a c) (+ b d)) (+ (pow (+ a c) 3) (pow (+ b d) 3))) (+ (* (- (* a a) (* c c)) (+ (* b b) (- (* d d) (* b d)))) (* (- a c) (+ (pow b 3) (pow d 3)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (445 enodes)